Rational torsion in elliptic curves and the cuspidal subgroup

Details Rational torsion in elliptic curves and the cuspidal subgroup Rational torsion in elliptic curves and the cuspidal subgroup

2008-10-29

arxiv.org/abs/0810.5181v1

Mathematics

Number Theory

Scientific paper

Let $A$ be an elliptic curve over $\Q$ of square free conductor $N$. We prove
that if $A$ has a rational torsion point of prime order $r$ such that $r$ does
not divide $6N$, then $r$ divides the order of the cuspidal subgroup of
$J_0(N)$.

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