Properties

Label 1225.2.bo
Level $1225$
Weight $2$
Character orbit 1225.bo
Rep. character $\chi_{1225}(11,\cdot)$
Character field $\Q(\zeta_{105})$
Dimension $6624$
Sturm bound $280$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 1225 = 5^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1225.bo (of order \(105\) and degree \(48\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1225 \)
Character field: \(\Q(\zeta_{105})\)
Sturm bound: \(280\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1225, [\chi])\).

Total New Old
Modular forms 6816 6816 0
Cusp forms 6624 6624 0
Eisenstein series 192 192 0

Trace form

\( 6624 q - 39 q^{2} - 39 q^{3} - 175 q^{4} - 53 q^{5} - 30 q^{6} - 90 q^{7} - 40 q^{8} - 173 q^{9} + O(q^{10}) \) \( 6624 q - 39 q^{2} - 39 q^{3} - 175 q^{4} - 53 q^{5} - 30 q^{6} - 90 q^{7} - 40 q^{8} - 173 q^{9} - 53 q^{10} - 15 q^{11} - 31 q^{12} - 30 q^{13} - 36 q^{14} - 38 q^{15} - 175 q^{16} - 30 q^{17} - 46 q^{18} - 66 q^{19} - 60 q^{20} - 39 q^{21} - 42 q^{22} - 27 q^{23} - 158 q^{24} - 59 q^{25} - 156 q^{26} + 42 q^{27} - 104 q^{28} - 30 q^{29} + q^{30} - 84 q^{31} - 200 q^{32} - 24 q^{33} - 118 q^{34} - 80 q^{35} + 284 q^{36} - 45 q^{37} - 58 q^{38} - 55 q^{39} - 29 q^{40} - 80 q^{41} - 96 q^{42} - 124 q^{43} - 35 q^{44} + 248 q^{45} - 51 q^{46} - 83 q^{47} - 72 q^{48} - 74 q^{49} + 370 q^{50} - 104 q^{51} - 92 q^{52} - 119 q^{53} + 6 q^{54} - 35 q^{55} + 18 q^{56} - 268 q^{57} - 187 q^{58} - 3 q^{59} - 399 q^{60} - 29 q^{61} - 194 q^{62} - 117 q^{63} + 204 q^{64} - 73 q^{65} - 49 q^{66} - 16 q^{67} + 54 q^{68} - 92 q^{69} - 135 q^{70} + 15 q^{71} + 331 q^{72} - q^{73} - 118 q^{74} - 209 q^{75} - 102 q^{76} - 79 q^{77} - 92 q^{78} - 34 q^{79} + 87 q^{80} - 183 q^{81} - 144 q^{82} + 131 q^{83} + 239 q^{84} - 78 q^{85} - 129 q^{86} - 63 q^{87} - 466 q^{88} + 105 q^{89} + 121 q^{90} - 8 q^{91} - 20 q^{92} + 66 q^{93} - 31 q^{94} + q^{96} - 348 q^{97} - 586 q^{98} - 124 q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1225, [\chi])\) into newform subspaces

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