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Properties

Label 1425.2.cc
Level $1425$
Weight $2$
Character orbit 1425.cc
Rep. character $\chi_{1425}(218,\cdot)$
Character field $\Q(\zeta_{36})$
Dimension $1392$
Sturm bound $400$

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Defining parameters

Level: \( N \) \(=\) \( 1425 = 3 \cdot 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1425.cc (of order \(36\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 285 \)
Character field: \(\Q(\zeta_{36})\)
Sturm bound: \(400\)

Dimensions

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

Total New Old
Modular forms 2544 1488 1056
Cusp forms 2256 1392 864
Eisenstein series 288 96 192

Trace form

\( 1392 q + 12 q^{3} - 24 q^{6} + 12 q^{7} + O(q^{10}) \) \( 1392 q + 12 q^{3} - 24 q^{6} + 12 q^{7} + 6 q^{12} + 24 q^{13} + 72 q^{16} - 24 q^{18} - 24 q^{21} + 72 q^{22} + 6 q^{27} + 72 q^{28} - 24 q^{31} + 102 q^{33} - 24 q^{36} + 48 q^{37} - 24 q^{42} + 36 q^{43} - 24 q^{46} + 156 q^{48} - 108 q^{51} + 48 q^{52} + 90 q^{57} - 96 q^{58} - 36 q^{61} - 18 q^{63} + 36 q^{66} + 120 q^{67} - 168 q^{72} + 24 q^{73} + 192 q^{76} + 6 q^{78} - 216 q^{81} + 312 q^{82} - 42 q^{87} + 204 q^{88} - 228 q^{91} - 138 q^{93} - 624 q^{96} + 48 q^{97} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(1425, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1425, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(285, [\chi])\)\(^{\oplus 2}\)