Properties

Label 2300.2.bm
Level $2300$
Weight $2$
Character orbit 2300.bm
Rep. character $\chi_{2300}(11,\cdot)$
Character field $\Q(\zeta_{110})$
Dimension $14240$
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.bm (of order \(110\) and degree \(40\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2300 \)
Character field: \(\Q(\zeta_{110})\)
Sturm bound: \(720\)

Dimensions

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

Total New Old
Modular forms 14560 14560 0
Cusp forms 14240 14240 0
Eisenstein series 320 320 0

Trace form

\( 14240q - 27q^{2} - 27q^{4} - 88q^{5} - 19q^{6} - 27q^{8} - 402q^{9} + O(q^{10}) \) \( 14240q - 27q^{2} - 27q^{4} - 88q^{5} - 19q^{6} - 27q^{8} - 402q^{9} - 44q^{10} - 15q^{12} - 54q^{13} - 33q^{14} - 27q^{16} - 66q^{17} - 68q^{18} - 44q^{20} - 66q^{21} - 148q^{24} - 72q^{25} - 100q^{26} - 33q^{28} - 54q^{29} - 44q^{30} - 52q^{32} - 66q^{33} - 33q^{34} - 31q^{36} - 66q^{37} - 33q^{38} - 44q^{40} - 54q^{41} - 253q^{42} - 33q^{44} - 46q^{46} - 61q^{48} - 1472q^{49} + 68q^{50} + 173q^{52} - 66q^{53} - 139q^{54} - 33q^{56} - 176q^{57} - 67q^{58} - 44q^{60} - 66q^{61} + 47q^{62} - 27q^{64} - 88q^{65} + 33q^{66} - 72q^{69} - 64q^{70} + 22q^{72} - 54q^{73} - 88q^{74} + 22q^{76} - 18q^{77} - 139q^{78} + 55q^{80} + 510q^{81} - 33q^{84} - 176q^{85} - 363q^{86} - 33q^{88} - 66q^{89} + 143q^{90} + 83q^{92} - 216q^{93} - 83q^{94} + 337q^{96} - 66q^{97} - 15q^{98} + O(q^{100}) \)

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

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