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Properties

Label 2695.2.bd
Level $2695$
Weight $2$
Character orbit 2695.bd
Rep. character $\chi_{2695}(263,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $928$
Sturm bound $672$

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Defining parameters

Level: \( N \) \(=\) \( 2695 = 5 \cdot 7^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2695.bd (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 385 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2695, [\chi])\).

Total New Old
Modular forms 1408 992 416
Cusp forms 1280 928 352
Eisenstein series 128 64 64

Trace form

\( 928 q + 4 q^{3} + 8 q^{5} + O(q^{10}) \) \( 928 q + 4 q^{3} + 8 q^{5} + 8 q^{11} + 20 q^{12} - 16 q^{15} + 432 q^{16} + 48 q^{20} + 32 q^{22} - 12 q^{23} + 40 q^{25} - 16 q^{26} + 40 q^{27} + 8 q^{31} - 8 q^{33} - 640 q^{36} - 40 q^{37} - 12 q^{38} + 76 q^{45} - 16 q^{47} - 88 q^{48} + 24 q^{53} - 16 q^{55} - 4 q^{58} - 36 q^{60} + 12 q^{66} - 44 q^{67} + 96 q^{71} - 12 q^{75} + 24 q^{78} - 92 q^{80} + 312 q^{81} + 12 q^{82} - 80 q^{86} - 44 q^{88} - 64 q^{92} + 212 q^{93} - 144 q^{97} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2695, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2695, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2695, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(385, [\chi])\)\(^{\oplus 2}\)