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Properties

Label 2695.2.bs
Level $2695$
Weight $2$
Character orbit 2695.bs
Rep. character $\chi_{2695}(48,\cdot)$
Character field $\Q(\zeta_{20})$
Dimension $1856$
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.bs (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 385 \)
Character field: \(\Q(\zeta_{20})\)
Sturm bound: \(672\)

Dimensions

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

Total New Old
Modular forms 2816 1984 832
Cusp forms 2560 1856 704
Eisenstein series 256 128 128

Trace form

\( 1856 q + 12 q^{2} - 8 q^{8} + O(q^{10}) \) \( 1856 q + 12 q^{2} - 8 q^{8} + 32 q^{11} + 456 q^{16} + 4 q^{18} - 16 q^{22} + 64 q^{23} - 44 q^{25} + 84 q^{30} + 96 q^{32} + 336 q^{36} - 44 q^{37} - 104 q^{43} + 152 q^{46} - 88 q^{50} - 136 q^{51} + 52 q^{53} - 176 q^{57} - 20 q^{58} - 28 q^{60} - 144 q^{65} + 192 q^{67} - 16 q^{71} - 28 q^{72} + 72 q^{78} + 288 q^{81} - 184 q^{85} - 88 q^{86} - 44 q^{88} - 8 q^{92} + 172 q^{93} - 16 q^{95} + O(q^{100}) \)

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

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