
Calculating the jinvariants of elliptic curves with nonsplit mod 11 representation using MagmaImin Chen, CECM
We calculate explicitly using Magma the $j$invariants of the elliptic curves classified by modular curve $X_{ns}^+(11)$ by giving an expression defined over $\q$ of the $j$function in terms of the function field generators $x$ and $y$ of the elliptic curve $X_{ns}^+(11)$. As a result we exhibit infinitelymany elliptic curves over $\q$ with nonsplit mod $11$ galois structure. This is joint work with Chris Cummins. 