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Properties

Label 2695.2.bm
Level $2695$
Weight $2$
Character orbit 2695.bm
Rep. character $\chi_{2695}(76,\cdot)$
Character field $\Q(\zeta_{14})$
Dimension $1344$
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.bm (of order \(14\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 539 \)
Character field: \(\Q(\zeta_{14})\)
Sturm bound: \(672\)

Dimensions

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

Total New Old
Modular forms 2040 1344 696
Cusp forms 1992 1344 648
Eisenstein series 48 0 48

Trace form

\( 1344 q + 224 q^{4} + 224 q^{9} + O(q^{10}) \) \( 1344 q + 224 q^{4} + 224 q^{9} - 4 q^{11} - 8 q^{14} - 216 q^{16} + 32 q^{22} + 60 q^{23} + 224 q^{25} + 28 q^{26} + 84 q^{27} - 28 q^{34} - 264 q^{36} - 16 q^{37} + 56 q^{38} - 32 q^{42} - 74 q^{44} + 28 q^{47} + 56 q^{49} - 36 q^{53} - 144 q^{56} + 40 q^{58} - 28 q^{59} - 140 q^{60} + 264 q^{64} + 98 q^{66} - 8 q^{67} - 336 q^{69} + 28 q^{70} - 80 q^{71} - 106 q^{77} - 12 q^{78} - 304 q^{81} + 20 q^{86} - 22 q^{88} + 28 q^{89} + 440 q^{91} + 224 q^{92} + 104 q^{93} - 104 q^{99} + O(q^{100}) \)

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

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