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Properties

Label 3751.2.p
Level $3751$
Weight $2$
Character orbit 3751.p
Rep. character $\chi_{3751}(457,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $1120$
Sturm bound $704$

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Defining parameters

Level: \( N \) \(=\) \( 3751 = 11^{2} \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3751.p (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 341 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(704\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3751, [\chi])\).

Total New Old
Modular forms 1456 1184 272
Cusp forms 1360 1120 240
Eisenstein series 96 64 32

Trace form

\( 1120 q + 5 q^{3} - 1082 q^{4} + 12 q^{5} - 10 q^{6} + 261 q^{9} - 20 q^{10} - 35 q^{12} - 30 q^{14} + 30 q^{15} + 1002 q^{16} + 20 q^{17} + 5 q^{19} - 12 q^{20} + 5 q^{21} - 10 q^{23} + 25 q^{24} - 246 q^{25}+ \cdots - 49 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Decomposition of \(S_{2}^{\mathrm{new}}(3751, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3751, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3751, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(341, [\chi])\)\(^{\oplus 2}\)