Properties

Label 2300.2.n
Level $2300$
Weight $2$
Character orbit 2300.n
Rep. character $\chi_{2300}(459,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $1424$
Sturm bound $720$

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Defining parameters

Level: \( N \) \(=\) \( 2300 = 2^{2} \cdot 5^{2} \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2300.n (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2300 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(720\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2300, [\chi])\).

Total New Old
Modular forms 1456 1456 0
Cusp forms 1424 1424 0
Eisenstein series 32 32 0

Trace form

\( 1424 q - 10 q^{2} - 6 q^{4} + 2 q^{6} - 10 q^{8} - 360 q^{9} + O(q^{10}) \) \( 1424 q - 10 q^{2} - 6 q^{4} + 2 q^{6} - 10 q^{8} - 360 q^{9} - 10 q^{12} - 20 q^{13} - 6 q^{16} - 4 q^{24} - 16 q^{25} - 44 q^{26} - 12 q^{29} + 22 q^{36} - 12 q^{41} - 19 q^{46} + 120 q^{48} - 1360 q^{49} - 68 q^{50} - 20 q^{52} + 86 q^{54} - 10 q^{58} - 60 q^{62} - 6 q^{64} + 30 q^{69} + 64 q^{70} + 20 q^{72} - 20 q^{73} + 120 q^{77} - 110 q^{78} - 360 q^{81} - 36 q^{85} - 10 q^{92} - 18 q^{94} - 20 q^{96} + 110 q^{98} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2300, [\chi])\) into newform subspaces

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