Properties

Label 1425.2.ci
Level $1425$
Weight $2$
Character orbit 1425.ci
Rep. character $\chi_{1425}(83,\cdot)$
Character field $\Q(\zeta_{60})$
Dimension $3136$
Sturm bound $400$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 1425 = 3 \cdot 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1425.ci (of order \(60\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1425 \)
Character field: \(\Q(\zeta_{60})\)
Sturm bound: \(400\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1425, [\chi])\).

Total New Old
Modular forms 3264 3264 0
Cusp forms 3136 3136 0
Eisenstein series 128 128 0

Trace form

\( 3136 q - 8 q^{3} - 20 q^{4} - 6 q^{6} - 64 q^{7} - 10 q^{9} + O(q^{10}) \) \( 3136 q - 8 q^{3} - 20 q^{4} - 6 q^{6} - 64 q^{7} - 10 q^{9} - 16 q^{10} - 12 q^{12} - 24 q^{13} - 2 q^{15} - 380 q^{16} + 20 q^{18} - 60 q^{19} - 6 q^{21} + 8 q^{22} - 8 q^{25} - 20 q^{27} - 48 q^{28} - 12 q^{30} - 48 q^{31} - 2 q^{33} - 20 q^{34} + 26 q^{36} - 80 q^{37} - 120 q^{39} + 16 q^{40} - 32 q^{42} - 36 q^{43} - 224 q^{45} - 48 q^{46} + 6 q^{48} - 16 q^{51} + 80 q^{52} - 10 q^{54} - 28 q^{55} + 68 q^{57} + 16 q^{58} - 40 q^{60} - 12 q^{61} - 62 q^{63} - 80 q^{64} - 30 q^{66} + 64 q^{67} - 40 q^{69} + 32 q^{70} - 56 q^{72} + 32 q^{73} + 4 q^{75} - 32 q^{76} + 12 q^{78} - 20 q^{79} - 6 q^{81} + 48 q^{82} - 520 q^{84} - 32 q^{85} - 24 q^{87} - 320 q^{88} + 24 q^{90} - 12 q^{91} - 6 q^{93} - 80 q^{94} - 120 q^{96} - 24 q^{97} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1425, [\chi])\) into newform subspaces

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