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Properties

Label 3025.2.cj
Level $3025$
Weight $2$
Character orbit 3025.cj
Rep. character $\chi_{3025}(4,\cdot)$
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.cj (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

\( 13120 q - 50 q^{2} - 50 q^{3} - 358 q^{4} - 43 q^{5} - 64 q^{6} - 10 q^{7} - 60 q^{8} + 3230 q^{9} + O(q^{10}) \) \( 13120 q - 50 q^{2} - 50 q^{3} - 358 q^{4} - 43 q^{5} - 64 q^{6} - 10 q^{7} - 60 q^{8} + 3230 q^{9} - 2 q^{10} - 50 q^{11} - 55 q^{12} - 50 q^{13} - 34 q^{14} - 83 q^{15} + 284 q^{16} - 45 q^{17} - 15 q^{18} - 38 q^{19} - 2 q^{20} - 73 q^{21} - 40 q^{22} - 25 q^{23} - 136 q^{24} - 75 q^{25} - 54 q^{26} - 200 q^{27} - 55 q^{28} - 44 q^{29} - 118 q^{30} - 39 q^{31} - 55 q^{33} - 29 q^{34} - 46 q^{35} + 452 q^{36} - 50 q^{37} - 40 q^{38} + 53 q^{39} - 35 q^{40} - 79 q^{41} - 55 q^{42} - 36 q^{44} - 2 q^{45} - 20 q^{46} - 65 q^{47} - 220 q^{48} - 412 q^{49} - 279 q^{50} - 135 q^{51} - 40 q^{52} - 65 q^{53} - 319 q^{54} + 52 q^{55} + 3 q^{56} + 40 q^{57} - 95 q^{58} - 29 q^{59} + 7 q^{60} - 5 q^{61} + 30 q^{62} - 55 q^{63} - 336 q^{64} - 17 q^{65} - 74 q^{66} - 85 q^{67} + 145 q^{68} - 94 q^{69} - 235 q^{70} - 83 q^{71} + 385 q^{72} - 55 q^{73} - 93 q^{74} - 56 q^{75} - 298 q^{76} - 20 q^{77} + 15 q^{78} - 84 q^{79} + 335 q^{80} - 3108 q^{81} - 10 q^{82} - 40 q^{83} - 199 q^{84} + 2 q^{85} - 10 q^{86} - 85 q^{87} - 140 q^{88} - 187 q^{89} + 6 q^{90} + 13 q^{91} + 455 q^{92} - 55 q^{93} + 181 q^{94} - 120 q^{95} - 152 q^{96} - 120 q^{97} - 80 q^{98} + 104 q^{99} + O(q^{100}) \)

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.