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

• Label: 2442.2.n
• Level: $2442$
• Weight: $2$
• Character orbit: 2442.n
• Rep. character: $\chi_{2442}(223,\cdot)$
• Character field: $\Q(\zeta_{5})$
• Dimension: $288$
• Sturm bound: $912$

Defining parameters

Level:	\( N \)	\(=\)	\( 2442 = 2 \cdot 3 \cdot 11 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2442.n (of order \(5\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 11 \)
Character field:			\(\Q(\zeta_{5})\)
Sturm bound:			\(912\)

Dimensions

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

	Total	New	Old
Modular forms	1856	288	1568
Cusp forms	1792	288	1504
Eisenstein series	64	0	64

Trace form

288 * q - 72 * q^4 - 16 * q^5 - 4 * q^6 + 16 * q^7 - 72 * q^9 - 8 * q^10 + 24 * q^11 - 16 * q^14 - 4 * q^15 - 72 * q^16 + 32 * q^17 - 24 * q^19 - 16 * q^20 - 12 * q^22 - 4 * q^24 - 72 * q^25 - 8 * q^26 - 4 * q^28 + 24 * q^29 - 12 * q^31 - 12 * q^33 + 8 * q^35 - 72 * q^36 - 24 * q^38 + 12 * q^40 - 16 * q^41 + 12 * q^42 + 80 * q^43 + 24 * q^44 - 16 * q^45 - 16 * q^47 - 88 * q^49 - 8 * q^51 - 48 * q^53 + 16 * q^54 - 16 * q^56 - 8 * q^57 - 12 * q^58 - 32 * q^59 + 16 * q^60 + 8 * q^61 - 24 * q^62 + 16 * q^63 - 72 * q^64 - 80 * q^65 - 8 * q^66 + 64 * q^67 + 32 * q^68 + 24 * q^69 + 60 * q^70 - 8 * q^71 + 92 * q^73 - 16 * q^75 + 16 * q^76 - 56 * q^77 - 24 * q^79 + 24 * q^80 - 72 * q^81 - 32 * q^82 + 40 * q^83 + 40 * q^85 + 64 * q^86 - 24 * q^87 + 28 * q^88 + 96 * q^89 - 8 * q^90 - 64 * q^91 - 40 * q^92 - 16 * q^93 - 8 * q^94 - 72 * q^95 - 4 * q^96 + 80 * q^97 - 64 * q^98 - 16 * 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

\( S_{2}^{\mathrm{old}}(2442, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(22, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(33, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(66, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(407, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(814, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1221, [\chi])\)\(^{\oplus 2}\)