Space of modular forms of level 3751, weight 2, and Character 3751.bd

• Label: 3751.2.bd
• Level: $3751$
• Weight: $2$
• Character orbit: 3751.bd
• Rep. character: $\chi_{3751}(120,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $1120$
• Sturm bound: $704$

Defining parameters

Level:	\( N \)	\(=\)	\( 3751 = 11^{2} \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3751.bd (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 341 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(704\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3751, [\chi])\).

	Total	New	Old
Modular forms	1456	1184	272
Cusp forms	1360	1120	240
Eisenstein series	96	64	32

Trace form

1120 * q + 10 * q^3 + 278 * q^4 + 12 * q^5 + 266 * q^9 - 20 * q^12 + 10 * q^14 + 50 * q^15 - 258 * q^16 + 8 * q^20 - 40 * q^23 + 1004 * q^25 + 10 * q^27 - 46 * q^31 - 120 * q^34 + 996 * q^36 + 30 * q^38 - 60 * q^42 + 62 * q^45 + 2 * q^47 + 170 * q^48 + 262 * q^49 + 10 * q^53 + 84 * q^56 - 30 * q^58 - 54 * q^59 + 30 * q^60 + 234 * q^64 - 64 * q^67 - 2 * q^69 - 34 * q^70 + 58 * q^71 - 70 * q^75 + 82 * q^78 - 44 * q^80 - 180 * q^81 + 70 * q^82 - 150 * q^86 - 150 * q^89 - 100 * q^91 + 22 * q^93 - 24 * q^97

Decomposition of \(S_{2}^{\mathrm{new}}(3751, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3751, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3751, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(341, [\chi])\)\(^{\oplus 2}\)