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Properties

Label 1932.2.bn
Level $1932$
Weight $2$
Character orbit 1932.bn
Rep. character $\chi_{1932}(41,\cdot)$
Character field $\Q(\zeta_{22})$
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.bn (of order \(22\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 483 \)
Character field: \(\Q(\zeta_{22})\)
Sturm bound: \(768\)

Dimensions

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

Total New Old
Modular forms 3960 640 3320
Cusp forms 3720 640 3080
Eisenstein series 240 0 240

Trace form

\( 640 q + 8 q^{9} + O(q^{10}) \) \( 640 q + 8 q^{9} + 8 q^{15} - 27 q^{21} - 56 q^{25} + 20 q^{37} - 16 q^{39} + 68 q^{43} - 140 q^{49} + 20 q^{51} - 4 q^{57} - 25 q^{63} + 24 q^{67} + 72 q^{79} - 52 q^{81} + 8 q^{85} - 52 q^{91} + 40 q^{93} + 128 q^{99} + O(q^{100}) \)

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

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