Space of modular forms of level 912, weight 6, and Character 912.r

• Label: 912.6.r
• Level: $912$
• Weight: $6$
• Character orbit: 912.r
• Rep. character: $\chi_{912}(341,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $1592$
• Sturm bound: $960$

Defining parameters

Level:	$N$	$=$	$912 = 2^{4} \cdot 3 \cdot 19$
Weight:	$k$	$=$	$6$
Character orbit:	$[\chi]$	$=$	912.r (of order $4$ and degree $2$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$912$
Character field:			$\Q(i)$
Sturm bound:			$960$

Dimensions

The following table gives the dimensions of various subspaces of $M_{6}(912, [\chi])$.

	Total	New	Old
Modular forms	1608	1608	0
Cusp forms	1592	1592	0
Eisenstein series	16	16	0

Trace form

1592 * q - 8 * q^4 - 4 * q^6 + 2432 * q^16 + 2356 * q^19 - 8084 * q^24 + 8184 * q^28 + 30920 * q^30 + 4092 * q^36 + 660 * q^42 - 8 * q^43 - 12504 * q^45 - 3707160 * q^49 - 115328 * q^54 - 8 * q^58 - 96168 * q^61 + 134448 * q^63 + 187432 * q^64 + 207028 * q^66 + 36368 * q^76 - 8 * q^81 - 47712 * q^82 + 289792 * q^85 + 968 * q^93 + 275448 * q^96 - 66440 * q^99

Decomposition of $S_{6}^{\mathrm{new}}(912, [\chi])$ into newform subspaces

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