Systems of Hecke Eigenvalues of Newforms in S_k(Gamma₀(N))

The format of the data is

   Isogeny_class, [Wq's], h(x), [a2(x), a3(x),..., a37(x)],

where each a_p(x) is written in terms of a root of h(x).

Enter a semicolon-separated list of pairs [N,k], where N is a level and k is a weight. If you enter a single integer N, then k is assumed to be 2. For example, if you enter

      [1,12]; [11,2]; 389; [12,4]

then systems of Hecke eigenvalue for S₁₂(G₀(1)), S₂(G₀(11)), S₂(G₀(389)), and S₄(G₀(12)) are displayed.

Output format: HUMAN MAGMA

This table contains:

Weight 2 newforms of level up to 2500, and most up to level 3340.
Level 1 newforms of weight up to 350.
Level 2 and 3 newforms of weight up to 150.
S₂(Gamma0(N)) for 4000<=N<=4100, courtesy of Blair Kelly at NSA

This data was computed using MAGMA on various machines all over the place, so, e.g., due to hardware errors, some of the data could be incorrect. If you would like to know with greater probability the q-expansions of a certain level, ask me and I can recompute them or compute them using an entirely different program.

Systems of Hecke Eigenvalues of Newforms in Sk(Gamma0(N))

Systems of Hecke Eigenvalues of Newforms in S_k(Gamma₀(N))