Defining parameters
Level: | \( N \) | \(=\) | \( 7267 = 13^{2} \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 7267.a (trivial) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 22 \) | ||
Sturm bound: | \(1334\) | ||
Trace bound: | \(5\) | ||
Distinguishing \(T_p\): | \(2\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(7267))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 680 | 542 | 138 |
Cusp forms | 653 | 542 | 111 |
Eisenstein series | 27 | 0 | 27 |
The following table gives the dimensions of the cuspidal new subspaces with specified eigenvalues for the Atkin-Lehner operators and the Fricke involution.
\(13\) | \(43\) | Fricke | Dim |
---|---|---|---|
\(+\) | \(+\) | $+$ | \(131\) |
\(+\) | \(-\) | $-$ | \(141\) |
\(-\) | \(+\) | $-$ | \(141\) |
\(-\) | \(-\) | $+$ | \(129\) |
Plus space | \(+\) | \(260\) | |
Minus space | \(-\) | \(282\) |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(7267))\) into newform subspaces
Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(7267))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_0(7267)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_0(43))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(169))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(559))\)\(^{\oplus 2}\)