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Properties

Label 2695.2.i
Level $2695$
Weight $2$
Character orbit 2695.i
Rep. character $\chi_{2695}(606,\cdot)$
Character field $\Q(\zeta_{3})$
Dimension $264$
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.i (of order \(3\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 7 \)
Character field: \(\Q(\zeta_{3})\)
Sturm bound: \(672\)

Dimensions

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

Total New Old
Modular forms 704 264 440
Cusp forms 640 264 376
Eisenstein series 64 0 64

Trace form

\( 264 q - 4 q^{3} - 128 q^{4} - 4 q^{5} - 8 q^{6} - 124 q^{9} + O(q^{10}) \) \( 264 q - 4 q^{3} - 128 q^{4} - 4 q^{5} - 8 q^{6} - 124 q^{9} + 12 q^{12} - 32 q^{13} - 116 q^{16} + 20 q^{18} - 4 q^{19} + 16 q^{20} - 28 q^{24} - 132 q^{25} + 12 q^{26} + 32 q^{27} - 32 q^{29} + 4 q^{30} + 24 q^{31} + 40 q^{32} - 8 q^{33} - 24 q^{34} + 160 q^{36} + 64 q^{37} - 44 q^{38} + 68 q^{39} + 8 q^{41} - 56 q^{43} + 4 q^{44} - 12 q^{47} + 32 q^{48} - 24 q^{51} + 40 q^{52} - 28 q^{53} + 48 q^{54} + 16 q^{55} - 72 q^{57} + 4 q^{58} + 4 q^{59} + 4 q^{61} - 56 q^{62} + 192 q^{64} + 20 q^{66} + 32 q^{67} - 16 q^{68} + 24 q^{69} + 72 q^{71} - 72 q^{72} - 4 q^{73} - 104 q^{74} - 4 q^{75} - 8 q^{76} + 312 q^{78} + 32 q^{79} - 20 q^{80} - 140 q^{81} - 12 q^{82} - 112 q^{83} - 8 q^{85} + 40 q^{86} - 48 q^{87} + 40 q^{89} - 72 q^{90} + 112 q^{92} - 12 q^{93} + 12 q^{94} - 8 q^{95} - 56 q^{96} + 120 q^{97} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2695, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(49, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(77, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(385, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(539, [\chi])\)\(^{\oplus 2}\)