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Properties

Label 2624.2.bu
Level $2624$
Weight $2$
Character orbit 2624.bu
Rep. character $\chi_{2624}(769,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $328$
Sturm bound $672$

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Defining parameters

Level: \( N \) \(=\) \( 2624 = 2^{6} \cdot 41 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2624.bu (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 41 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2624, [\chi])\).

Total New Old
Modular forms 1392 344 1048
Cusp forms 1296 328 968
Eisenstein series 96 16 80

Trace form

\( 328 q + 6 q^{5} - 328 q^{9} + O(q^{10}) \) \( 328 q + 6 q^{5} - 328 q^{9} + 10 q^{13} - 10 q^{17} - 12 q^{21} - 88 q^{25} + 10 q^{29} - 4 q^{33} + 6 q^{37} - 4 q^{41} + 18 q^{45} + 64 q^{49} + 10 q^{53} - 4 q^{57} + 6 q^{61} - 30 q^{65} - 20 q^{69} - 24 q^{73} + 34 q^{77} + 248 q^{81} - 90 q^{89} - 20 q^{93} - 30 q^{97} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2624, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

Decomposition of \(S_{2}^{\mathrm{old}}(2624, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2624, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(41, [\chi])\)\(^{\oplus 7}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(82, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(164, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(328, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(656, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1312, [\chi])\)\(^{\oplus 2}\)