Defining parameters
Level: | \( N \) | \(=\) | \( 2667 = 3 \cdot 7 \cdot 127 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 2667.a (trivial) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 17 \) | ||
Sturm bound: | \(682\) | ||
Trace bound: | \(4\) | ||
Distinguishing \(T_p\): | \(2\), \(5\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(2667))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 344 | 127 | 217 |
Cusp forms | 337 | 127 | 210 |
Eisenstein series | 7 | 0 | 7 |
The following table gives the dimensions of the cuspidal new subspaces with specified eigenvalues for the Atkin-Lehner operators and the Fricke involution.
\(3\) | \(7\) | \(127\) | Fricke | Dim |
---|---|---|---|---|
\(+\) | \(+\) | \(+\) | $+$ | \(14\) |
\(+\) | \(+\) | \(-\) | $-$ | \(19\) |
\(+\) | \(-\) | \(+\) | $-$ | \(13\) |
\(+\) | \(-\) | \(-\) | $+$ | \(18\) |
\(-\) | \(+\) | \(+\) | $-$ | \(17\) |
\(-\) | \(+\) | \(-\) | $+$ | \(14\) |
\(-\) | \(-\) | \(+\) | $+$ | \(10\) |
\(-\) | \(-\) | \(-\) | $-$ | \(22\) |
Plus space | \(+\) | \(56\) | ||
Minus space | \(-\) | \(71\) |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(2667))\) into newform subspaces
Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(2667))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_0(2667)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_0(21))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(127))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(381))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(889))\)\(^{\oplus 2}\)