Elliptic curves with almost prime conductor - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-24T06:54:12Z http://mathoverflow.net/feeds/question/120245 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/120245/elliptic-curves-with-almost-prime-conductor Elliptic curves with almost prime conductor lk728 2013-01-29T19:10:37Z 2013-01-29T19:39:48Z <p>Let $E/\mathbb{Q}$ be an elliptic curve having a rational 3-torsion point. Then $E$ can be given an affine equation of the type $$y^{2} = x^{3} + (ax + b)^{2}$$ for $a, b, D \in \mathbb{Q}$. Has there been any work done about curves of this form having prime or almost prime conductors?</p>