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Properties

Label 2365.2.cm
Level $2365$
Weight $2$
Character orbit 2365.cm
Rep. character $\chi_{2365}(329,\cdot)$
Character field $\Q(\zeta_{42})$
Dimension $3120$
Sturm bound $528$

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Defining parameters

Level: \( N \) \(=\) \( 2365 = 5 \cdot 11 \cdot 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2365.cm (of order \(42\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2365 \)
Character field: \(\Q(\zeta_{42})\)
Sturm bound: \(528\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2365, [\chi])\).

Total New Old
Modular forms 3216 3216 0
Cusp forms 3120 3120 0
Eisenstein series 96 96 0

Trace form

\( 3120 q + 472 q^{4} - 22 q^{5} + 200 q^{9} + O(q^{10}) \) \( 3120 q + 472 q^{4} - 22 q^{5} + 200 q^{9} - 16 q^{11} - 112 q^{14} - 70 q^{15} - 620 q^{16} - 10 q^{20} - 26 q^{25} - 68 q^{26} - 60 q^{31} - 104 q^{34} + 1400 q^{36} + 124 q^{44} + 28 q^{45} + 1412 q^{49} + 14 q^{55} - 348 q^{56} - 96 q^{59} - 98 q^{60} + 184 q^{64} - 166 q^{66} + 44 q^{69} - 126 q^{70} + 28 q^{71} + 42 q^{75} - 30 q^{80} + 172 q^{81} - 8 q^{86} - 52 q^{89} - 216 q^{91} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2365, [\chi])\) into newform subspaces

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