Remark on the rank of elliptic curves

Details Remark on the rank of elliptic curves Remark on the rank of elliptic curves

2007-06-08

arxiv.org/abs/0706.1263v4

Osaka J. Math. 46 (2009), 515--527

Mathematics

Number Theory

13 pages, 2 figures; to appear Osaka J. Mathematics 46 (2009), No.2; http://projecteuclid.org/euclid.ojm/1245415682

Scientific paper

A covariant functor on the elliptic curves with complex multiplication is
constructed. The functor takes values in the noncommutative tori with real
multiplication. A conjecture on the rank of an elliptic curve is formulated.

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