EQUIVALENCES OF BIRCH AND SWINNERTON-DYER CONJECTURES OVER NON-ABELIAN EXTENSIONS OF ORDER 27 Yu, Ho-Seog;
By finding two characters of subgroups of the Heisenberg group whose induced characters are same, we prove that the Birch and Swinnerton-Dyer conjectures for two elliptic curves corresponding to the characters are equivalent.
Birch and Swinnerton-Dyer conjecture;Heisenberg group;induced character;
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