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Properties

Label 2695.2.u
Level $2695$
Weight $2$
Character orbit 2695.u
Rep. character $\chi_{2695}(901,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $320$
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.u (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 77 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(672\)

Dimensions

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

Total New Old
Modular forms 704 320 384
Cusp forms 640 320 320
Eisenstein series 64 0 64

Trace form

\( 320 q + 168 q^{4} + 152 q^{9} + O(q^{10}) \) \( 320 q + 168 q^{4} + 152 q^{9} + 2 q^{11} + 16 q^{15} - 132 q^{16} - 28 q^{23} + 160 q^{25} + 60 q^{26} - 24 q^{33} + 376 q^{36} + 24 q^{37} - 84 q^{38} - 8 q^{44} - 12 q^{47} - 36 q^{53} - 40 q^{58} - 36 q^{59} + 60 q^{60} - 224 q^{64} - 12 q^{66} - 84 q^{67} + 120 q^{71} + 88 q^{78} + 24 q^{80} - 144 q^{81} + 96 q^{82} + 76 q^{86} + 44 q^{88} - 60 q^{89} - 312 q^{92} + 84 q^{93} - 88 q^{99} + O(q^{100}) \)

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

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