Defining parameters
Level: | \( N \) | = | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | = | \( 2 \) |
Character orbit: | \([\chi]\) | = | 403.cb (of order \(60\) and degree \(16\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | = | \( 403 \) |
Character field: | \(\Q(\zeta_{60})\) | ||
Newforms: | \( 1 \) | ||
Sturm bound: | \(74\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(403, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 640 | 640 | 0 |
Cusp forms | 576 | 576 | 0 |
Eisenstein series | 64 | 64 | 0 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(403, [\chi])\) into irreducible Hecke orbits
Label | Dim. | \(A\) | Field | CM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|
\(a_2\) | \(a_3\) | \(a_5\) | \(a_7\) | ||||||
403.2.cb.a | \(576\) | \(3.218\) | None | \(-12\) | \(-10\) | \(-32\) | \(-4\) |