in honor of Ralph Greenberg's 60th birthday

June 2005

Abstract |
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For y^{2} =
x^{5}
− 156x^{4} + 10816x^{3} −
421824x^{2} + 8998912x − 80427776,
we try to construct certain type of units using special values of 2-dimensional theta functions hoping for a connection with the work of Coates-Wiles about the Birch and Swinnerton-Dyer conjecture for CM elliptic curves. |