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Properties

Label 2695.2.bb
Level $2695$
Weight $2$
Character orbit 2695.bb
Rep. character $\chi_{2695}(391,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $640$
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.bb (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 77 \)
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 640 768
Cusp forms 1280 640 640
Eisenstein series 128 0 128

Trace form

\( 640 q + 168 q^{4} + 40 q^{8} + 172 q^{9} + O(q^{10}) \) \( 640 q + 168 q^{4} + 40 q^{8} + 172 q^{9} + 8 q^{11} + 12 q^{15} - 104 q^{16} - 100 q^{18} + 72 q^{22} + 8 q^{23} + 160 q^{25} + 40 q^{29} - 128 q^{36} - 32 q^{37} + 80 q^{39} + 20 q^{44} + 20 q^{46} - 40 q^{51} + 136 q^{53} - 36 q^{58} + 116 q^{60} - 64 q^{64} - 112 q^{67} - 144 q^{71} - 140 q^{72} + 60 q^{74} - 176 q^{78} + 140 q^{79} - 132 q^{81} - 172 q^{86} - 96 q^{88} - 28 q^{92} - 132 q^{93} + 312 q^{99} + O(q^{100}) \)

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

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