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Properties

Label 2695.2.dd
Level $2695$
Weight $2$
Character orbit 2695.dd
Rep. character $\chi_{2695}(27,\cdot)$
Character field $\Q(\zeta_{140})$
Dimension $15936$
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.dd (of order \(140\) and degree \(48\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2695 \)
Character field: \(\Q(\zeta_{140})\)
Sturm bound: \(672\)

Dimensions

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

Total New Old
Modular forms 16320 16320 0
Cusp forms 15936 15936 0
Eisenstein series 384 384 0

Trace form

\( 15936 q - 30 q^{2} - 42 q^{3} - 42 q^{5} - 84 q^{6} - 34 q^{7} - 14 q^{8} + O(q^{10}) \) \( 15936 q - 30 q^{2} - 42 q^{3} - 42 q^{5} - 84 q^{6} - 34 q^{7} - 14 q^{8} - 112 q^{10} - 72 q^{11} - 112 q^{12} - 42 q^{13} - 90 q^{15} - 684 q^{16} - 84 q^{17} - 32 q^{18} - 42 q^{20} - 192 q^{21} - 68 q^{22} - 48 q^{23} - 38 q^{25} - 140 q^{26} - 42 q^{27} + 8 q^{28} - 32 q^{30} - 64 q^{32} - 56 q^{33} - 52 q^{35} - 620 q^{36} - 54 q^{37} + 14 q^{38} - 42 q^{40} - 84 q^{41} - 192 q^{42} - 120 q^{43} + 112 q^{45} - 76 q^{46} + 84 q^{47} - 136 q^{50} + 60 q^{51} - 42 q^{52} - 130 q^{53} - 14 q^{55} - 264 q^{56} - 66 q^{57} + 226 q^{58} - 70 q^{60} - 84 q^{61} - 98 q^{62} - 8 q^{63} - 224 q^{65} - 308 q^{66} - 64 q^{67} - 148 q^{70} + 20 q^{71} - 158 q^{72} - 42 q^{73} - 42 q^{75} + 30 q^{77} + 8 q^{78} - 660 q^{81} - 42 q^{82} - 42 q^{83} - 110 q^{85} - 76 q^{86} - 168 q^{87} - 182 q^{88} - 42 q^{90} + 156 q^{91} - 14 q^{92} - 90 q^{93} - 6 q^{95} - 84 q^{96} - 632 q^{98} + O(q^{100}) \)

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.