Defining parameters
Level: | \( N \) | \(=\) | \( 2890 = 2 \cdot 5 \cdot 17^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 2890.a (trivial) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 36 \) | ||
Sturm bound: | \(918\) | ||
Trace bound: | \(9\) | ||
Distinguishing \(T_p\): | \(3\), \(7\), \(13\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(2890))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 494 | 89 | 405 |
Cusp forms | 423 | 89 | 334 |
Eisenstein series | 71 | 0 | 71 |
The following table gives the dimensions of the cuspidal new subspaces with specified eigenvalues for the Atkin-Lehner operators and the Fricke involution.
\(2\) | \(5\) | \(17\) | Fricke | Dim |
---|---|---|---|---|
\(+\) | \(+\) | \(+\) | $+$ | \(13\) |
\(+\) | \(+\) | \(-\) | $-$ | \(9\) |
\(+\) | \(-\) | \(+\) | $-$ | \(13\) |
\(+\) | \(-\) | \(-\) | $+$ | \(9\) |
\(-\) | \(+\) | \(+\) | $-$ | \(14\) |
\(-\) | \(+\) | \(-\) | $+$ | \(9\) |
\(-\) | \(-\) | \(+\) | $+$ | \(5\) |
\(-\) | \(-\) | \(-\) | $-$ | \(17\) |
Plus space | \(+\) | \(36\) | ||
Minus space | \(-\) | \(53\) |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(2890))\) into newform subspaces
Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(2890))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_0(2890)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_0(17))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(34))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(85))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(170))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(289))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(578))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1445))\)\(^{\oplus 2}\)