Explanatory Note  

Introduction

   This Amendment No. 1 to Schedule 13D ("Amendment No. 1 to Schedule 13D") amends the Schedule 13D filed on April 9, 2007 (the "Schedule 13D") by the Reporting Persons, relating to their beneficial ownership of the Common Stock (as defined in Item 1, below), of Alexion Pharmaceuticals, Inc., a Delaware corporation (the "Issuer").

   Amendment No. 1 (i) amends and restates, Item 1, Item 3, Item 5 and Item 6 and (ii) reflects a material change in the number of shares beneficially owned by each Reporting Person and the percentage of class represented by such ownership since the filing of the Schedule 13D for each Reporting Person. Except for the above-referenced amendments, Amendment No. 1 does not modify any of the information previously reported on the Schedule 13D.

Item 1.      Security and Issuer.

   The name of the Issuer is Alexion Pharmaceuticals, Inc. The address of the Issuer’s offices is 352 Knotter Drive, Cheshire, Connecticut 06410. This Schedule 13D relates to the Issuer’s common stock, par value $0.0001 per share (the "Common Stock"). The Reporting Persons also hold options to purchase Common Stock ("Options").

Item 2.      Identity and Background.

   (a)-(c), (f).  This statement is being filed by Millenco, L.L.C., a Delaware limited liability company (formerly Millenco, L.P., a Delaware limited partnership) ("Millenco"). Millenco is a broker-dealer and a member of the American Stock Exchange and the NASDAQ. Millennium Management, L.L.C., a Delaware limited liability company ("Millennium Management"), is the manager of Millenco, and consequently may be deemed to have voting control and investment discretion over securities owned by Millenco. Israel A. Englander ("Mr. Englander") is the managing member of Millennium Management. As a result, Mr. Englander may be deemed to be the beneficial owner of any shares deemed to be beneficially owned by Millennium Management. The foregoing should not be construed in and of itself as an admission by Millennium Management or Mr. Englander as to beneficial ownership of the shares owned by Millenco.

   The business address for Millenco, Millennium Management and Mr. Englander is c/o Millennium Management, L.L.C., 666 Fifth Avenue, New York, New York 10103. Mr. Englander is a United States citizen.

   Note:  Integrated Holding Group, L.P., a Delaware limited partnership ("Integrated Holding Group"), is a non-managing member of Millenco. As a non-managing member, Integrated Holding Group has no voting control or investment discretion over Millenco or its securities positions.

   (d)  During the last five years, none of the Reporting Persons has been convicted in a criminal proceeding (excluding traffic violations or similar misdemeanors).

   (e)  On December 1, 2005, Millennium Management and Mr. Englander, together with Millennium Partners, L.P. ("Millennium Partners") and certain related persons and entities, entered into settlements with the Securities and Exchange Commission ("SEC") and the Attorney General of the State of New York (the "NYAG") relating to allegations that Millennium Partners had engaged in a pattern of deceptive "market timing" of mutual fund shares in years prior to 2004 and, in the case of the settlement with the NYAG only, had failed to take adequate steps to prevent a trader from engaging in mutual fund "late trading" in violation of firm policy. The parties neither admitted nor denied the allegations or findings (except as to jurisdiction) but consented to the entry of findings. The SEC proceedings are In the Matter of Millennium Partners, L.P., et al. Securities Act Release No. 8639 (December 1, 2005), available at www.sec.gov. Contemporaneously, the NYAG issued an Assurance of Discontinuance relating to the claims and findings of that office.

   Neither the Reporting Persons nor any other party admitted or denied any of the allegations or findings in these matters. The remedies included disgorgement by the entities of approximately $148 million of mutual fund trading profits, civil penalties aggregating approximately $32.15 million (with approximately $30 million being paid by Mr. Englander), an administrative order to cease and desist from violations of the antifraud provisions of the Securities Act of 1933 and the Securities Exchange Act of 1934 (the "Exchange Act"), and prophylactic relief.

Item 3.      Source and Amount of Funds or Other Consideration.

   The amount of funds used to purchase the shares of Common Stock and Options to purchase Common Stock held by Millenco in the transactions giving rise to this Schedule 13D was approximately $91,886,800 and $631,500 respectively, calculated on an average cost basis (excluding brokerage commissions), by account. Millenco effects purchases of securities primarily through margin accounts maintained for it with prime brokers, which may extend margin credit to Millenco as and when required to open or carry positions in the margin accounts, subject to applicable Federal margin regulations, stock exchange rules and the prime broker’s credit policies. In such instances, the positions held in the margin accounts are pledged as collateral security for the repayment of debit balances in the accounts.

Item 4.       Purpose of Transaction.

   The Reporting Persons are engaged in the investment business. In pursuing this business, the Reporting Persons analyze the operations, capital structure and markets of companies, including the Issuer, on a continuous basis through analysis of documentation and discussions with knowledgeable industry and market observers and with representatives of such companies (often at the invitation of management). From time to time, one or more of the Reporting Persons may hold discussions with third parties or with management of such companies in which the Reporting Persons may suggest or take a position with respect to potential changes in the operations, management or capital structure of such companies as a means of enhancing shareholder value. Such suggestions or positions may relate to one or more of the transactions specified in clauses (a) through (j) of Item 4 of Schedule 13D of the Exchange Act, including, without limitation, such matters as disposing of or selling all or a portion of the company or acquiring another company or business, changing operating or marketing strategies, adopting or not adopting certain types of anti-takeover measures and restructuring the Issuer’s capitalization or dividend policy.

  The Reporting Persons employ the services of a number of portfolio managers, each of whom independently employs a separate and distinct trading strategy. A portion of the securities of the Issuer held by the Reporting Persons are held in accounts of the Reporting Persons managed by portfolio managers who engage in event-, risk- or merger-arbitrage or fundamental strategies.

   Except as set forth above, the Reporting Persons do not have any present plans or proposals that relate to or would result in any of the actions required to be described in Item 4 of Schedule 13D. Each of the Reporting Persons may, at any time, review or reconsider its position with respect to the Issuer and formulate plans or proposals with respect to any of such matters, but has no present intention of doing so.

Item 5.      Interest in Securities of the Issuer.

   (a)  As of the date hereof, Millenco is the beneficial owner of an aggregate of 2,525,310 shares of Common Stock (consisting of 2,227,910 shares of Common Stock and Options to purchase 297,400 shares of Common Stock), which represents approximately 6.9% of the outstanding shares of Common Stock. The calculation of the foregoing percentage is on the basis of 36,417,203 shares of Common Stock outstanding as of May 4, 2007, as disclosed by the Issuer in its Quarterly Report on Form 10-Q, dated May 9, 2007.

   Millennium Management, as the manager of Millenco, may also be deemed to beneficially own the above-described shares of Common Stock beneficially owned by Millenco.

   Mr. Englander, as the managing member of Millennium Management, may also be deemed to beneficially own the above-described shares of Common Stock beneficially owned by Millenco.

   Accordingly, as of the date of this filing, Mr. Englander and Millennium Management may be deemed to be beneficial owners of 2,525,310 shares of Common Stock.

   (b)  Millenco may be deemed to hold shared power to vote and to dispose of the 2,525,310 shares of Common Stock described in (a) above. Mr. Englander and Millennium Management may be deemed to hold shared power to vote and to dispose of the 2,525,310 shares of Common Stock described in (a) above. The foregoing should not be construed in and of itself as an admission by Mr. Englander or Millennium Management as to beneficial ownership of the shares held by Millenco.

   (c)  Transactions in Common Stock and Options to purchase Common Stock during the past 60 days: Schedule A annexed hereto lists all transactions in the Common Stock and Options to purchase Common Stock during the past 60 days by the Reporting Persons. On May 29, 2007, 2,000 shares of Common Stock were transferred from Millenco to an affiliate of Millenco, Millennium Equity Traders, Ltd., an exempted limited company organized under the laws of the Cayman Islands ("Millennium Equity Traders") at $41.84386154 per shares. All other transactions in the Common Stock and Options to purchase Common Stock were effected by either Millenco or Millennium Equity Traders in the open market.

   (d)  No person other than the Reporting Persons is known to have the right to receive, or the power to direct the receipt of, dividends from, or proceeds from the sale of, the shares of Common Stock reported in this Statement.

Item 6.      Contracts, Arrangements, Understandings or Relationships with Respect to Securities of the Issuer.

   Millenco maintains an open short position of 26,738 shares of Common Stock, which position is not netted against the data provided herein as to the number of shares beneficially owned by the Reporting Persons.

   Millennium Equity Traders, an affiliate of Millenco, maintains an open short position of 1,200 shares of Common Stock, which position is not netted against the data provided herein as to the number of shares beneficially owned by the Reporting Persons.

   In connection with arrangements with Millenco’s prime brokers, such prime brokers are permitted to lend securities in Millenco’s accounts to the extent permitted by debit balances in such account. Millenco generally will not have any knowledge of the specific loans made by such prime brokers. In addition, in the ordinary course of business, Millenco (or its prime brokers), may borrow securities to satisfy delivery obligations arising from short sales and may lend securities to third parties and such loans generally may be recalled upon demand.

   There are no other contracts, arrangements, understandings or relationships among the Reporting Persons, or between the Reporting Persons and any other person, with respect to the securities of the Issuer.

Item 7.      Material to Be Filed as Exhibits.

   Exhibit I:  Joint Filing Agreement, dated as of July 26, 2007, by and among Millenco, L.L.C., Millennium Management, L.L.C. and Israel A. Englander.

SIGNATURE

   After reasonable inquiry and to the best of my knowledge and belief, I certify that the information set forth in this statement is true, complete and correct.

Dated: July 26, 2007