Space of modular forms of level 2442, weight 2, and Character 2442.bv

• Label: 2442.2.bv
• Level: $2442$
• Weight: $2$
• Character orbit: 2442.bv
• Rep. character: $\chi_{2442}(619,\cdot)$
• Character field: $\Q(\zeta_{30})$
• Dimension: $608$
• Sturm bound: $912$

Defining parameters

Level:	\( N \)	\(=\)	\( 2442 = 2 \cdot 3 \cdot 11 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2442.bv (of order \(30\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 407 \)
Character field:			\(\Q(\zeta_{30})\)
Sturm bound:			\(912\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2442, [\chi])\).

	Total	New	Old
Modular forms	3712	608	3104
Cusp forms	3584	608	2976
Eisenstein series	128	0	128

Trace form

608 * q - 76 * q^4 + 76 * q^9 + 64 * q^10 - 8 * q^11 + 76 * q^16 + 24 * q^19 + 32 * q^21 - 64 * q^25 - 16 * q^26 + 4 * q^33 - 8 * q^34 + 72 * q^35 + 152 * q^36 - 56 * q^37 - 24 * q^39 - 8 * q^40 + 12 * q^42 - 4 * q^44 - 8 * q^46 - 40 * q^47 + 32 * q^49 - 36 * q^53 + 144 * q^55 + 96 * q^57 - 8 * q^58 + 132 * q^59 - 48 * q^61 + 24 * q^62 + 152 * q^64 + 208 * q^65 + 48 * q^67 + 36 * q^69 + 8 * q^70 + 32 * q^71 - 32 * q^73 - 32 * q^74 - 32 * q^75 + 24 * q^76 + 60 * q^77 + 76 * q^81 - 16 * q^84 + 168 * q^85 + 16 * q^86 + 24 * q^87 + 8 * q^90 - 84 * q^93 - 12 * q^94 + 56 * q^95 - 48 * q^98 + 4 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(2442, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2442, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2442, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(407, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(814, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1221, [\chi])\)\(^{\oplus 2}\)