Properties

Label 2695.2.db
Level $2695$
Weight $2$
Character orbit 2695.db
Rep. character $\chi_{2695}(32,\cdot)$
Character field $\Q(\zeta_{84})$
Dimension $7968$
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.db (of order \(84\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2695 \)
Character field: \(\Q(\zeta_{84})\)
Sturm bound: \(672\)

Dimensions

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

Total New Old
Modular forms 8160 8160 0
Cusp forms 7968 7968 0
Eisenstein series 192 192 0

Trace form

\( 7968 q - 52 q^{3} - 48 q^{5} + O(q^{10}) \) \( 7968 q - 52 q^{3} - 48 q^{5} - 56 q^{11} - 36 q^{12} - 80 q^{15} - 736 q^{16} - 8 q^{20} - 32 q^{22} - 68 q^{23} - 48 q^{25} - 184 q^{26} - 16 q^{27} - 48 q^{31} - 36 q^{33} + 1232 q^{36} - 64 q^{37} - 12 q^{38} + 108 q^{42} + 244 q^{45} + 12 q^{47} - 200 q^{48} + 108 q^{53} - 86 q^{55} - 328 q^{56} + 212 q^{58} - 92 q^{60} - 240 q^{66} - 40 q^{67} - 44 q^{70} - 160 q^{71} - 68 q^{75} - 68 q^{77} - 176 q^{78} - 120 q^{80} - 704 q^{81} - 44 q^{82} - 96 q^{86} - 356 q^{88} + 120 q^{91} - 72 q^{92} + 8 q^{93} + 80 q^{97} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2695, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.