↑

Properties

Label 1932.2.t
Level $1932$
Weight $2$
Character orbit 1932.t
Rep. character $\chi_{1932}(137,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $128$
Sturm bound $768$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 1932 = 2^{2} \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1932.t (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 483 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(768\)

Dimensions

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

Total New Old
Modular forms 792 128 664
Cusp forms 744 128 616
Eisenstein series 48 0 48

Trace form

\( 128 q - 4 q^{9} + O(q^{10}) \) \( 128 q - 4 q^{9} - 72 q^{25} - 12 q^{27} + 4 q^{39} - 24 q^{49} + 48 q^{55} + 46 q^{69} + 8 q^{73} + 20 q^{75} - 12 q^{81} - 40 q^{85} - 42 q^{87} + 32 q^{93} + O(q^{100}) \)

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

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