Defining parameters
Level: | \( N \) | \(=\) | \( 6627 = 3 \cdot 47^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6627.a (trivial) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 35 \) | ||
Sturm bound: | \(1504\) | ||
Trace bound: | \(5\) | ||
Distinguishing \(T_p\): | \(2\), \(5\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(6627))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 800 | 361 | 439 |
Cusp forms | 705 | 361 | 344 |
Eisenstein series | 95 | 0 | 95 |
The following table gives the dimensions of the cuspidal new subspaces with specified eigenvalues for the Atkin-Lehner operators and the Fricke involution.
\(3\) | \(47\) | Fricke | Dim |
---|---|---|---|
\(+\) | \(+\) | $+$ | \(88\) |
\(+\) | \(-\) | $-$ | \(92\) |
\(-\) | \(+\) | $-$ | \(104\) |
\(-\) | \(-\) | $+$ | \(77\) |
Plus space | \(+\) | \(165\) | |
Minus space | \(-\) | \(196\) |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(6627))\) into newform subspaces
Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(6627))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_0(6627)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_0(47))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(141))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(2209))\)\(^{\oplus 2}\)