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Properties

Label 2300.2.br
Level $2300$
Weight $2$
Character orbit 2300.br
Rep. character $\chi_{2300}(19,\cdot)$
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.br (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

\( 14240 q - 45 q^{2} - 27 q^{4} - 88 q^{5} - 35 q^{6} - 45 q^{8} + 294 q^{9} + O(q^{10}) \) \( 14240 q - 45 q^{2} - 27 q^{4} - 88 q^{5} - 35 q^{6} - 45 q^{8} + 294 q^{9} - 44 q^{10} - 45 q^{12} - 90 q^{13} - 33 q^{14} - 27 q^{16} - 110 q^{17} - 44 q^{20} - 66 q^{21} - 172 q^{24} - 72 q^{25} - 44 q^{26} - 55 q^{28} - 54 q^{29} - 44 q^{30} - 110 q^{33} - 33 q^{34} - 55 q^{36} - 110 q^{37} - 55 q^{38} - 44 q^{40} - 54 q^{41} - 55 q^{42} - 33 q^{44} - 14 q^{46} - 175 q^{48} + 1184 q^{49} + 24 q^{50} - 585 q^{52} - 110 q^{53} - 119 q^{54} - 33 q^{56} - 45 q^{58} - 44 q^{60} - 66 q^{61} + 5 q^{62} - 27 q^{64} - 88 q^{65} - 99 q^{66} - 96 q^{69} - 152 q^{70} + 90 q^{72} - 90 q^{73} - 88 q^{74} - 198 q^{76} - 230 q^{77} + 55 q^{78} + 55 q^{80} + 30 q^{81} - 33 q^{84} - 184 q^{85} + 297 q^{86} - 55 q^{88} - 66 q^{89} + 187 q^{90} - 45 q^{92} + 29 q^{94} - 431 q^{96} - 110 q^{97} - 165 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

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

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