Defining parameters
Level: | \( N \) | = | \( 5077 \) |
Weight: | \( k \) | = | \( 2 \) |
Character orbit: | \([\chi]\) | = | 5077.a (trivial) |
Character field: | \(\Q\) | ||
Newforms: | \( 3 \) | ||
Sturm bound: | \(846\) | ||
Trace bound: | \(1\) | ||
Distinguishing \(T_p\): | \(2\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(5077))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 423 | 423 | 0 |
Cusp forms | 422 | 422 | 0 |
Eisenstein series | 1 | 1 | 0 |
The following table gives the dimensions of the cuspidal new subspaces with specified eigenvalues for the Atkin-Lehner operators.
\(5077\) | Dim. |
---|---|
\(+\) | \(206\) |
\(-\) | \(216\) |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(5077))\) into irreducible Hecke orbits
Label | Dim. | \(A\) | Field | CM | Traces | A-L signs | $q$-expansion | ||||
---|---|---|---|---|---|---|---|---|---|---|---|
\(a_2\) | \(a_3\) | \(a_5\) | \(a_7\) | 5077 | |||||||
5077.2.a.a | \(1\) | \(40.540\) | \(\Q\) | None | \(-2\) | \(-3\) | \(-4\) | \(-4\) | \(+\) | \(q-2q^{2}-3q^{3}+2q^{4}-4q^{5}+6q^{6}+\cdots\) | |
5077.2.a.b | \(205\) | \(40.540\) | None | \(-25\) | \(-59\) | \(-44\) | \(-30\) | \(+\) | |||
5077.2.a.c | \(216\) | \(40.540\) | None | \(25\) | \(62\) | \(46\) | \(30\) | \(-\) |