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Properties

Label 1925.2.k
Level $1925$
Weight $2$
Character orbit 1925.k
Rep. character $\chi_{1925}(43,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $216$
Sturm bound $480$

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Defining parameters

Level: \( N \) \(=\) \( 1925 = 5^{2} \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1925.k (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 55 \)
Character field: \(\Q(i)\)
Sturm bound: \(480\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1925, [\chi])\).

Total New Old
Modular forms 504 216 288
Cusp forms 456 216 240
Eisenstein series 48 0 48

Trace form

\( 216 q - 4 q^{3} + O(q^{10}) \) \( 216 q - 4 q^{3} + 8 q^{11} - 16 q^{12} - 216 q^{16} - 44 q^{22} + 4 q^{23} - 128 q^{26} - 4 q^{27} + 64 q^{31} - 32 q^{33} - 152 q^{36} - 4 q^{37} + 104 q^{38} + 16 q^{47} - 24 q^{48} + 16 q^{53} + 24 q^{56} + 32 q^{58} - 8 q^{66} + 68 q^{67} - 24 q^{71} - 8 q^{77} + 56 q^{78} - 80 q^{81} + 104 q^{82} + 40 q^{86} - 32 q^{88} + 48 q^{91} + 136 q^{92} + 68 q^{93} + 44 q^{97} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1925, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1925, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1925, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(55, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(275, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(385, [\chi])\)\(^{\oplus 2}\)