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Properties

Label 2695.2.w
Level $2695$
Weight $2$
Character orbit 2695.w
Rep. character $\chi_{2695}(244,\cdot)$
Character field $\Q(\zeta_{10})$
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.w (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 385 \)
Character field: \(\Q(\zeta_{10})\)
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

\( 928 q - 212 q^{4} - 192 q^{9} + O(q^{10}) \) \( 928 q - 212 q^{4} - 192 q^{9} + 20 q^{11} - 36 q^{15} - 204 q^{16} + 2 q^{25} - 40 q^{29} + 70 q^{30} - 260 q^{36} + 100 q^{39} - 116 q^{44} - 20 q^{46} - 20 q^{50} + 60 q^{51} + 18 q^{60} - 264 q^{64} - 24 q^{71} + 160 q^{74} + 20 q^{79} - 288 q^{81} + 190 q^{85} - 92 q^{86} - 60 q^{95} + 48 q^{99} + O(q^{100}) \)

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

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