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Properties

Label 3025.2.bw
Level $3025$
Weight $2$
Character orbit 3025.bw
Rep. character $\chi_{3025}(31,\cdot)$
Character field $\Q(\zeta_{55})$
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.bw (of order \(55\) and degree \(40\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3025 \)
Character field: \(\Q(\zeta_{55})\)
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

\( 13120 q - 27 q^{2} - 10 q^{3} - 1331 q^{4} - 43 q^{5} + 10 q^{6} - 79 q^{7} - 15 q^{8} - 3250 q^{9} + O(q^{10}) \) \( 13120 q - 27 q^{2} - 10 q^{3} - 1331 q^{4} - 43 q^{5} + 10 q^{6} - 79 q^{7} - 15 q^{8} - 3250 q^{9} - 10 q^{10} - 10 q^{11} + 63 q^{12} - 196 q^{13} - 30 q^{14} - 22 q^{15} - 1279 q^{16} - 31 q^{17} - 232 q^{18} - 3 q^{19} - 41 q^{20} + 34 q^{21} + 54 q^{22} - 43 q^{23} - 169 q^{24} - 27 q^{25} - 65 q^{26} + 110 q^{27} + 14 q^{28} + 21 q^{29} - 46 q^{30} - 30 q^{31} - 6 q^{32} + 17 q^{33} - 25 q^{34} - 62 q^{35} + 434 q^{36} + 41 q^{37} + 65 q^{38} - 14 q^{39} - 17 q^{40} - 60 q^{41} + 10 q^{42} - 132 q^{43} - 34 q^{44} + 78 q^{45} - 24 q^{46} - 19 q^{47} + 97 q^{48} + 245 q^{49} + 124 q^{50} - 194 q^{51} + 6 q^{52} - 64 q^{53} + 226 q^{54} + 17 q^{55} - 14 q^{56} - 127 q^{57} - 75 q^{58} - 44 q^{59} - 31 q^{60} - 39 q^{61} - 85 q^{62} + 26 q^{63} - 1199 q^{64} - 152 q^{65} + 45 q^{66} + 97 q^{67} - 89 q^{68} + 19 q^{69} + 53 q^{70} + 44 q^{71} + 263 q^{72} - 73 q^{73} - 89 q^{74} + q^{75} - 123 q^{76} - 119 q^{77} + 46 q^{78} - 44 q^{79} - 538 q^{80} - 3002 q^{81} - 52 q^{82} + 60 q^{83} + 47 q^{84} - 214 q^{85} - 39 q^{86} - 15 q^{87} - 64 q^{88} + 63 q^{89} + 67 q^{90} - 57 q^{91} + 283 q^{92} - 122 q^{93} + 140 q^{94} + 60 q^{95} - 7 q^{96} + 2 q^{97} - 145 q^{98} - 586 q^{99} + O(q^{100}) \)

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.