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Properties

Label 2325.2.fy
Level $2325$
Weight $2$
Character orbit 2325.fy
Rep. character $\chi_{2325}(107,\cdot)$
Character field $\Q(\zeta_{60})$
Dimension $3008$
Sturm bound $640$

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Defining parameters

Level: \( N \) \(=\) \( 2325 = 3 \cdot 5^{2} \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2325.fy (of order \(60\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 465 \)
Character field: \(\Q(\zeta_{60})\)
Sturm bound: \(640\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2325, [\chi])\).

Total New Old
Modular forms 5312 3136 2176
Cusp forms 4928 3008 1920
Eisenstein series 384 128 256

Trace form

\( 3008 q + 14 q^{3} - 16 q^{6} + 60 q^{7} + O(q^{10}) \) \( 3008 q + 14 q^{3} - 16 q^{6} + 60 q^{7} + 64 q^{12} + 36 q^{13} + 592 q^{16} + 14 q^{18} - 36 q^{21} + 88 q^{22} + 8 q^{27} + 56 q^{28} - 60 q^{31} - 44 q^{33} - 32 q^{36} + 80 q^{37} + 30 q^{42} + 36 q^{43} + 184 q^{46} + 28 q^{48} - 20 q^{51} + 100 q^{52} - 24 q^{57} - 64 q^{58} - 72 q^{61} + 116 q^{63} - 384 q^{66} + 28 q^{67} + 154 q^{72} + 12 q^{73} - 56 q^{76} - 54 q^{78} - 124 q^{81} + 92 q^{82} + 32 q^{87} - 52 q^{88} - 4 q^{91} - 134 q^{93} + 260 q^{96} - 44 q^{97} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2325, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2325, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2325, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(465, [\chi])\)\(^{\oplus 2}\)