2 papers
math.NT1999
On a Result of Atkin and Lehner
David Carlton
We wish to give a new proof of one of the main results of Atkin and Lehner. Their theory depends, among other things, on a theorem characterizing forms in S_k(Gamma_0(N)) whose Fou…
math.NT1999
Moduli for Pairs of Elliptic Curves with Isomorphic N-torsion
David Carlton
We study the moduli surface for pairs of elliptic curves together with an isomorphism between their N-torsion groups. The Weil pairing gives a "determinant" map from this moduli su…