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Properties

Label 3025.2.cd
Level $3025$
Weight $2$
Character orbit 3025.cd
Rep. character $\chi_{3025}(14,\cdot)$
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.cd (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

\( 13120 q - 50 q^{2} - 358 q^{4} - 38 q^{5} + 36 q^{6} + 15 q^{7} - 50 q^{8} - 13020 q^{9} + O(q^{10}) \) \( 13120 q - 50 q^{2} - 358 q^{4} - 38 q^{5} + 36 q^{6} + 15 q^{7} - 50 q^{8} - 13020 q^{9} - 132 q^{10} - 35 q^{12} - 55 q^{13} - 24 q^{14} + 72 q^{15} + 294 q^{16} - 45 q^{17} + 60 q^{18} - 38 q^{19} - 67 q^{20} + 77 q^{21} - 5 q^{22} - 45 q^{23} - 11 q^{24} - 20 q^{25} - 99 q^{26} - 40 q^{28} - 44 q^{29} + 72 q^{30} - 34 q^{31} + 45 q^{33} - 29 q^{34} - 41 q^{35} + 262 q^{36} - 220 q^{37} - 350 q^{38} + 148 q^{39} - 19 q^{41} + 65 q^{42} - 56 q^{44} - 152 q^{45} - 55 q^{47} + 100 q^{48} - 387 q^{49} - 114 q^{50} + 30 q^{51} - 90 q^{52} - 35 q^{53} + 31 q^{54} + 12 q^{55} - 32 q^{56} + 115 q^{57} - 85 q^{58} - 29 q^{59} + 117 q^{60} - 55 q^{61} - 105 q^{62} - 465 q^{63} - 356 q^{64} - 137 q^{65} + 266 q^{66} - 25 q^{67} + 65 q^{68} + 66 q^{69} + 15 q^{70} - 108 q^{71} - 300 q^{72} - 35 q^{73} - 93 q^{74} + 39 q^{75} + 27 q^{76} - 5 q^{77} + 25 q^{78} - 44 q^{79} + 60 q^{80} + 12632 q^{81} + 30 q^{82} + 181 q^{84} - 68 q^{85} - 40 q^{86} - 45 q^{87} + 115 q^{88} + 63 q^{89} + 271 q^{90} - 27 q^{91} - 605 q^{92} + 110 q^{93} + 91 q^{94} - 100 q^{95} - 172 q^{96} - 50 q^{97} - 15 q^{98} - 406 q^{99} + O(q^{100}) \)

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.