Computing local constants for CM elliptic curves

Details Computing local constants for CM elliptic curves Computing local constants for CM elliptic curves

2010-11-01

arxiv.org/abs/1011.0464v2

Mathematics

Number Theory

3 tables

Scientific paper

For E/k an elliptic curve with CM by O, we determine a formula for (a
generalization of) the arithmetic local constant of [4] at almost all primes of
good reduction. We apply this formula to the CM curves defined over Q and are
able to describe extensions F/Q over which the O-rank of E grows.

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