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Properties

Label 2695.2.ch
Level $2695$
Weight $2$
Character orbit 2695.ch
Rep. character $\chi_{2695}(144,\cdot)$
Character field $\Q(\zeta_{42})$
Dimension $3360$
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.ch (of order \(42\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 245 \)
Character field: \(\Q(\zeta_{42})\)
Sturm bound: \(672\)

Dimensions

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

Total New Old
Modular forms 4080 3360 720
Cusp forms 3984 3360 624
Eisenstein series 96 0 96

Trace form

\( 3360 q - 280 q^{4} - 20 q^{6} - 248 q^{9} + O(q^{10}) \) \( 3360 q - 280 q^{4} - 20 q^{6} - 248 q^{9} + 6 q^{10} + 28 q^{14} + 12 q^{15} + 276 q^{16} + 8 q^{19} + 24 q^{20} + 12 q^{24} - 16 q^{26} + 52 q^{29} + 4 q^{30} + 156 q^{31} - 172 q^{34} - 14 q^{35} - 620 q^{36} - 104 q^{39} + 48 q^{40} + 48 q^{41} + 32 q^{44} - 6 q^{45} + 196 q^{46} - 24 q^{49} - 244 q^{50} + 24 q^{51} - 164 q^{54} - 48 q^{56} - 12 q^{59} + 4 q^{60} + 92 q^{61} + 624 q^{64} + 14 q^{65} - 16 q^{66} + 32 q^{69} - 146 q^{70} + 28 q^{71} + 96 q^{75} + 364 q^{76} + 32 q^{79} + 8 q^{80} + 44 q^{81} - 180 q^{84} + 104 q^{85} - 44 q^{86} + 84 q^{89} - 428 q^{90} - 80 q^{91} - 56 q^{94} + 12 q^{95} - 168 q^{96} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2695, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(245, [\chi])\)\(^{\oplus 2}\)