Space of modular forms of level 832, weight 3, and Character 832.m

• Label: 832.3.m
• Level: $832$
• Weight: $3$
• Character orbit: 832.m
• Rep. character: $\chi_{832}(177,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $108$
• Sturm bound: $336$

Defining parameters

Level:	\( N \)	\(=\)	\( 832 = 2^{6} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	832.m (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 208 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(336\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{3}(832, [\chi])\).

	Total	New	Old
Modular forms	464	116	348
Cusp forms	432	108	324
Eisenstein series	32	8	24

Trace form

108 * q + 4 * q^3 + 4 * q^11 - 2 * q^13 + 4 * q^15 + 4 * q^19 + 32 * q^21 - 460 * q^25 - 32 * q^27 - 4 * q^29 + 4 * q^31 - 4 * q^33 + 4 * q^35 - 4 * q^37 + 64 * q^43 + 60 * q^45 + 4 * q^47 - 4 * q^53 - 36 * q^57 + 420 * q^59 - 4 * q^61 - 192 * q^63 - 4 * q^65 + 4 * q^67 + 48 * q^73 - 292 * q^75 - 196 * q^77 + 8 * q^79 - 692 * q^81 + 164 * q^83 + 96 * q^85 - 80 * q^89 + 56 * q^93 - 4 * q^97

Decomposition of \(S_{3}^{\mathrm{new}}(832, [\chi])\) into newform subspaces

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

Decomposition of \(S_{3}^{\mathrm{old}}(832, [\chi])\) into lower level spaces

\( S_{3}^{\mathrm{old}}(832, [\chi]) \simeq \) \(S_{3}^{\mathrm{new}}(208, [\chi])\)\(^{\oplus 3}\)