Space of modular forms of level 936, weight 4, and Character 936.g

• Label: 936.4.g
• Level: $936$
• Weight: $4$
• Character orbit: 936.g
• Rep. character: $\chi_{936}(469,\cdot)$
• Character field: $\Q$
• Dimension: $180$
• Sturm bound: $672$

Defining parameters

Level:	\( N \)	\(=\)	\( 936 = 2^{3} \cdot 3^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	936.g (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 8 \)
Character field:			\(\Q\)
Sturm bound:			\(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(936, [\chi])\).

	Total	New	Old
Modular forms	512	180	332
Cusp forms	496	180	316
Eisenstein series	16	0	16

Trace form

180 * q + 2 * q^2 - 2 * q^4 + 28 * q^7 - 76 * q^8 - 102 * q^10 - 46 * q^14 - 126 * q^16 - 20 * q^20 + 4 * q^22 + 328 * q^23 - 4500 * q^25 - 792 * q^28 + 156 * q^31 - 1128 * q^32 + 60 * q^34 - 1908 * q^38 + 734 * q^40 - 40 * q^41 + 1356 * q^44 + 884 * q^46 + 532 * q^47 + 8820 * q^49 + 998 * q^50 - 468 * q^52 - 144 * q^55 - 2434 * q^56 - 2128 * q^58 - 1856 * q^62 + 2590 * q^64 + 3794 * q^68 + 1432 * q^70 - 3468 * q^71 + 1610 * q^74 + 572 * q^76 - 2712 * q^79 - 2284 * q^80 - 2372 * q^82 - 4572 * q^86 - 696 * q^88 + 848 * q^89 + 4984 * q^92 + 7414 * q^94 + 3864 * q^95 + 1488 * q^97 + 9682 * q^98

Decomposition of \(S_{4}^{\mathrm{new}}(936, [\chi])\) into newform subspaces

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

Decomposition of \(S_{4}^{\mathrm{old}}(936, [\chi])\) into lower level spaces

\( S_{4}^{\mathrm{old}}(936, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(8, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(24, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(72, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(104, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(312, [\chi])\)\(^{\oplus 2}\)