Properties

Label 920.2.bv
Level $920$
Weight $2$
Character orbit 920.bv
Rep. character $\chi_{920}(17,\cdot)$
Character field $\Q(\zeta_{44})$
Dimension $720$
Newform subspaces $1$
Sturm bound $288$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 920 = 2^{3} \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 920.bv (of order \(44\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 115 \)
Character field: \(\Q(\zeta_{44})\)
Newform subspaces: \( 1 \)
Sturm bound: \(288\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(920, [\chi])\).

Total New Old
Modular forms 3040 720 2320
Cusp forms 2720 720 2000
Eisenstein series 320 0 320

Trace form

\( 720q + O(q^{10}) \) \( 720q - 20q^{23} + 16q^{25} - 24q^{27} - 16q^{31} + 88q^{37} - 32q^{41} + 56q^{47} - 40q^{55} + 88q^{57} + 16q^{73} - 140q^{75} - 48q^{77} + 40q^{81} - 92q^{85} - 88q^{87} + 72q^{93} - 248q^{95} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(920, [\chi])\) into newform subspaces

Label Dim. \(A\) Field CM Traces $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
920.2.bv.a \(720\) \(7.346\) None \(0\) \(0\) \(0\) \(0\)

Decomposition of \(S_{2}^{\mathrm{old}}(920, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(920, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(115, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(230, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(460, [\chi])\)\(^{\oplus 2}\)