Properties

Label 2415.2.cp
Level $2415$
Weight $2$
Character orbit 2415.cp
Rep. character $\chi_{2415}(83,\cdot)$
Character field $\Q(\zeta_{44})$
Dimension $7520$
Sturm bound $768$

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Defining parameters

Level: \( N \) \(=\) \( 2415 = 3 \cdot 5 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2415.cp (of order \(44\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2415 \)
Character field: \(\Q(\zeta_{44})\)
Sturm bound: \(768\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2415, [\chi])\).

Total New Old
Modular forms 7840 7840 0
Cusp forms 7520 7520 0
Eisenstein series 320 320 0

Trace form

\( 7520q - 44q^{7} + O(q^{10}) \) \( 7520q - 44q^{7} - 44q^{15} + 560q^{16} + 52q^{18} - 44q^{21} - 88q^{25} - 44q^{28} - 44q^{30} - 88q^{36} - 22q^{42} - 88q^{43} - 208q^{46} - 88q^{51} - 44q^{57} + 24q^{58} - 44q^{60} - 22q^{63} - 88q^{67} + 32q^{70} + 28q^{72} - 28q^{78} - 184q^{81} - 40q^{85} - 440q^{88} - 256q^{93} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2415, [\chi])\) into newform subspaces

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