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Properties

Label 2695.2.dp
Level $2695$
Weight $2$
Character orbit 2695.dp
Rep. character $\chi_{2695}(3,\cdot)$
Character field $\Q(\zeta_{420})$
Dimension $31872$
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.dp (of order \(420\) and degree \(96\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2695 \)
Character field: \(\Q(\zeta_{420})\)
Sturm bound: \(672\)

Dimensions

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

Total New Old
Modular forms 32640 32640 0
Cusp forms 31872 31872 0
Eisenstein series 768 768 0

Trace form

\( 31872 q - 78 q^{2} - 66 q^{3} - 54 q^{5} - 168 q^{6} - 74 q^{7} - 76 q^{8} + O(q^{10}) \) \( 31872 q - 78 q^{2} - 66 q^{3} - 54 q^{5} - 168 q^{6} - 74 q^{7} - 76 q^{8} - 152 q^{10} - 204 q^{11} - 152 q^{12} - 84 q^{13} + 492 q^{16} - 24 q^{17} - 40 q^{18} - 84 q^{20} - 384 q^{21} - 52 q^{22} - 192 q^{23} - 82 q^{25} - 100 q^{26} - 84 q^{27} - 164 q^{28} - 16 q^{30} - 216 q^{31} - 176 q^{32} + 68 q^{33} - 92 q^{35} - 1432 q^{36} - 90 q^{37} - 122 q^{38} - 66 q^{40} - 168 q^{41} + 156 q^{42} - 120 q^{43} - 304 q^{45} - 164 q^{46} - 204 q^{47} - 80 q^{50} + 156 q^{51} - 114 q^{52} + 82 q^{53} - 154 q^{55} - 648 q^{56} - 24 q^{57} - 454 q^{58} - 98 q^{60} - 132 q^{61} - 28 q^{62} - 196 q^{63} - 280 q^{65} + 20 q^{66} - 32 q^{67} - 204 q^{68} - 68 q^{70} - 200 q^{71} + 14 q^{72} - 6 q^{73} - 258 q^{75} - 672 q^{76} - 192 q^{77} - 104 q^{78} - 336 q^{80} + 444 q^{81} + 6 q^{82} - 84 q^{83} + 20 q^{85} - 164 q^{86} - 108 q^{87} - 418 q^{88} - 84 q^{90} - 420 q^{91} - 76 q^{92} - 18 q^{93} - 216 q^{95} - 240 q^{96} - 664 q^{98} + O(q^{100}) \)

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.