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Properties

Label 3025.2.ct
Level $3025$
Weight $2$
Character orbit 3025.ct
Rep. character $\chi_{3025}(104,\cdot)$
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.ct (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

\( 13120 q - 55 q^{2} - 50 q^{3} + 1277 q^{4} - 43 q^{5} - 74 q^{6} - 15 q^{7} - 55 q^{8} + 3230 q^{9} + O(q^{10}) \) \( 13120 q - 55 q^{2} - 50 q^{3} + 1277 q^{4} - 43 q^{5} - 74 q^{6} - 15 q^{7} - 55 q^{8} + 3230 q^{9} - 22 q^{10} - 50 q^{11} - 35 q^{12} - 50 q^{13} - 34 q^{14} - 68 q^{15} - 1351 q^{16} - 45 q^{17} - 60 q^{18} - 3 q^{19} - 37 q^{20} - 88 q^{21} - 60 q^{22} - 45 q^{23} - 11 q^{24} - 75 q^{25} - 99 q^{26} - 50 q^{27} + 40 q^{28} + 21 q^{29} - 88 q^{30} - 34 q^{31} - 75 q^{33} - 29 q^{34} - 6 q^{35} + 322 q^{36} - 45 q^{37} - 55 q^{38} - 122 q^{39} - 55 q^{40} - 4 q^{41} - 30 q^{42} - 46 q^{44} - 42 q^{45} - 40 q^{46} - 55 q^{47} - 75 q^{48} - 387 q^{49} - 84 q^{50} + 30 q^{51} - 40 q^{52} - 50 q^{53} - 24 q^{54} + 77 q^{55} - 32 q^{56} - 115 q^{57} - 55 q^{58} - 44 q^{59} - 103 q^{60} - 25 q^{61} - 65 q^{62} + 190 q^{63} + 1289 q^{64} + 28 q^{65} - 129 q^{66} - 25 q^{67} - 65 q^{68} - 89 q^{69} - 55 q^{70} - 108 q^{71} - 155 q^{72} - 65 q^{73} - 93 q^{74} - 11 q^{75} + 27 q^{76} - 55 q^{77} - 140 q^{78} - 44 q^{79} - 710 q^{80} - 3258 q^{81} - 30 q^{82} - 150 q^{83} - 99 q^{84} - 168 q^{85} - 15 q^{86} - 45 q^{87} - 70 q^{88} + 63 q^{89} - 179 q^{90} - 7 q^{91} - 75 q^{92} - 110 q^{93} + 136 q^{94} - 180 q^{95} + 23 q^{96} - 120 q^{97} - 15 q^{98} - 406 q^{99} + O(q^{100}) \)

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.