Defining parameters
Level: | \( N \) | \(=\) | \( 7248 = 2^{4} \cdot 3 \cdot 151 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 7248.cv (of order \(25\) and degree \(20\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 151 \) |
Character field: | \(\Q(\zeta_{25})\) | ||
Sturm bound: | \(2432\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7248, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 24560 | 3040 | 21520 |
Cusp forms | 24080 | 3040 | 21040 |
Eisenstein series | 480 | 0 | 480 |
Decomposition of \(S_{2}^{\mathrm{new}}(7248, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7248, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7248, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(151, [\chi])\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(302, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(453, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(604, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(906, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1208, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1812, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2416, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3624, [\chi])\)\(^{\oplus 2}\)