Space of modular forms of level 1911, weight 2, and Character 1911.cu

• Label: 1911.2.cu
• Level: $1911$
• Weight: $2$
• Character orbit: 1911.cu
• Rep. character: $\chi_{1911}(34,\cdot)$
• Character field: $\Q(\zeta_{28})$
• Dimension: $1584$
• Sturm bound: $522$

Defining parameters

Level:	\( N \)	\(=\)	\( 1911 = 3 \cdot 7^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1911.cu (of order \(28\) and degree \(12\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 637 \)
Character field:			\(\Q(\zeta_{28})\)
Sturm bound:			\(522\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1911, [\chi])\).

	Total	New	Old
Modular forms	3168	1584	1584
Cusp forms	3072	1584	1488
Eisenstein series	96	0	96

Trace form

1584 * q - 4 * q^7 + 264 * q^9 - 16 * q^11 + 24 * q^14 + 288 * q^16 - 12 * q^21 - 16 * q^22 + 84 * q^24 + 80 * q^28 - 16 * q^29 - 40 * q^32 + 112 * q^34 - 96 * q^35 - 84 * q^37 - 60 * q^39 + 24 * q^42 + 40 * q^44 + 16 * q^46 + 84 * q^47 + 432 * q^50 - 140 * q^52 + 48 * q^53 + 168 * q^55 - 40 * q^57 + 56 * q^59 + 40 * q^60 - 24 * q^63 + 48 * q^67 + 156 * q^70 + 184 * q^71 - 84 * q^73 + 80 * q^74 - 16 * q^79 - 264 * q^81 - 36 * q^84 - 56 * q^85 + 120 * q^86 - 204 * q^91 - 144 * q^92 - 40 * q^93 - 112 * q^94 - 168 * q^96 + 272 * q^98 + 16 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1911, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1911, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1911, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(637, [\chi])\)\(^{\oplus 2}\)