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Properties

Label 1932.2.ci
Level $1932$
Weight $2$
Character orbit 1932.ci
Rep. character $\chi_{1932}(61,\cdot)$
Character field $\Q(\zeta_{66})$
Dimension $640$
Sturm bound $768$

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Defining parameters

Level: \( N \) \(=\) \( 1932 = 2^{2} \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1932.ci (of order \(66\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 161 \)
Character field: \(\Q(\zeta_{66})\)
Sturm bound: \(768\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1932, [\chi])\).

Total New Old
Modular forms 7920 640 7280
Cusp forms 7440 640 6800
Eisenstein series 480 0 480

Trace form

\( 640 q - 32 q^{9} + O(q^{10}) \) \( 640 q - 32 q^{9} - 44 q^{23} + 72 q^{25} + 8 q^{29} + 12 q^{31} + 76 q^{35} - 44 q^{37} + 88 q^{43} + 12 q^{47} + 24 q^{49} - 44 q^{51} + 88 q^{57} + 60 q^{59} + 32 q^{71} - 48 q^{75} - 48 q^{77} - 44 q^{79} + 32 q^{81} - 80 q^{85} - 36 q^{87} + 8 q^{93} + 62 q^{95} - 44 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1932, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1932, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1932, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(161, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(322, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(483, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(644, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(966, [\chi])\)\(^{\oplus 2}\)