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Properties

Label 2325.2.e
Level $2325$
Weight $2$
Character orbit 2325.e
Rep. character $\chi_{2325}(1301,\cdot)$
Character field $\Q$
Dimension $196$
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.e (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 93 \)
Character field: \(\Q\)
Sturm bound: \(640\)

Dimensions

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

Total New Old
Modular forms 332 208 124
Cusp forms 308 196 112
Eisenstein series 24 12 12

Trace form

\( 196 q - 188 q^{4} - 8 q^{7} + 4 q^{9} + O(q^{10}) \) \( 196 q - 188 q^{4} - 8 q^{7} + 4 q^{9} + 164 q^{16} + 12 q^{18} + 28 q^{19} + 52 q^{28} + 22 q^{31} + 20 q^{33} - 28 q^{36} + 36 q^{39} + 144 q^{49} + 8 q^{63} - 184 q^{64} - 120 q^{66} + 8 q^{67} - 44 q^{69} + 52 q^{72} - 172 q^{76} + 28 q^{78} - 16 q^{81} - 28 q^{82} + 32 q^{93} - 48 q^{94} - 32 q^{97} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2325, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(93, [\chi])\)\(^{\oplus 3}\)