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Properties

Label 3025.2.cl
Level $3025$
Weight $2$
Character orbit 3025.cl
Rep. character $\chi_{3025}(34,\cdot)$
Character field $\Q(\zeta_{110})$
Dimension $13120$
Sturm bound $660$

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Defining parameters

Level: \( N \) \(=\) \( 3025 = 5^{2} \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3025.cl (of order \(110\) and degree \(40\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3025 \)
Character field: \(\Q(\zeta_{110})\)
Sturm bound: \(660\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3025, [\chi])\).

Total New Old
Modular forms 13280 13280 0
Cusp forms 13120 13120 0
Eisenstein series 160 160 0

Trace form

\( 13120 q - 45 q^{2} - 100 q^{3} - 353 q^{4} - 38 q^{5} - 59 q^{6} - 45 q^{8} + 3180 q^{9} + O(q^{10}) \) \( 13120 q - 45 q^{2} - 100 q^{3} - 353 q^{4} - 38 q^{5} - 59 q^{6} - 45 q^{8} + 3180 q^{9} - 22 q^{10} - 45 q^{12} - 45 q^{13} - 39 q^{14} - 63 q^{15} + 279 q^{16} - 35 q^{17} - 23 q^{19} - 42 q^{20} + 62 q^{21} - 275 q^{22} - 85 q^{23} - 86 q^{24} - 50 q^{25} - 44 q^{26} - 100 q^{27} - 25 q^{28} - 39 q^{29} - 33 q^{30} - 39 q^{31} - 65 q^{33} - 19 q^{34} - 56 q^{35} + 297 q^{36} - 45 q^{37} - 45 q^{38} - 117 q^{39} - 80 q^{40} - 29 q^{41} - 125 q^{42} - 21 q^{44} + 18 q^{45} - 35 q^{46} - 5 q^{47} - 25 q^{48} + 1148 q^{49} + 241 q^{50} - 190 q^{51} - 25 q^{52} - 45 q^{53} + 86 q^{54} + 57 q^{55} - 77 q^{56} + 25 q^{58} - 39 q^{59} - 163 q^{60} - 35 q^{61} - 55 q^{62} - 5 q^{63} - 321 q^{64} - 67 q^{65} - 119 q^{66} - 5 q^{67} - 89 q^{69} - 120 q^{70} + 97 q^{71} - 220 q^{72} - 45 q^{73} - 28 q^{74} + 39 q^{75} - 218 q^{76} - 65 q^{77} - 140 q^{78} - 79 q^{79} + 115 q^{80} - 3268 q^{81} - 5 q^{83} - 179 q^{84} + 2 q^{85} - 15 q^{86} + 35 q^{87} - 95 q^{88} - 162 q^{89} - 134 q^{90} - 57 q^{91} - 45 q^{92} + 176 q^{94} - 210 q^{95} + 198 q^{96} + 95 q^{97} - 35 q^{98} + 104 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(3025, [\chi])\) into newform subspaces

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