Space of modular forms of level 1850, weight 2, and Character 1850.cc

• Label: 1850.2.cc
• Level: $1850$
• Weight: $2$
• Character orbit: 1850.cc
• Rep. character: $\chi_{1850}(13,\cdot)$
• Character field: $\Q(\zeta_{180})$
• Dimension: $4560$
• Sturm bound: $570$

Defining parameters

Level:	\( N \)	\(=\)	\( 1850 = 2 \cdot 5^{2} \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1850.cc (of order \(180\) and degree \(48\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 925 \)
Character field:			\(\Q(\zeta_{180})\)
Sturm bound:			\(570\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1850, [\chi])\).

	Total	New	Old
Modular forms	13872	4560	9312
Cusp forms	13488	4560	8928
Eisenstein series	384	0	384

Trace form

4560 * q - 12 * q^3 + 12 * q^12 + 6 * q^17 - 18 * q^25 + 12 * q^27 - 192 * q^30 - 12 * q^33 + 132 * q^35 + 24 * q^37 + 36 * q^40 + 30 * q^41 - 84 * q^42 - 120 * q^45 - 48 * q^50 - 24 * q^53 + 264 * q^57 + 42 * q^58 + 120 * q^59 + 60 * q^61 + 60 * q^62 - 570 * q^64 - 36 * q^65 - 156 * q^67 + 360 * q^69 + 24 * q^70 - 120 * q^71 - 6 * q^73 - 30 * q^74 + 768 * q^75 - 60 * q^77 + 12 * q^80 + 120 * q^81 + 96 * q^83 - 384 * q^87 - 24 * q^88 - 96 * q^92 - 60 * q^93 - 84 * q^95 + 156 * q^97 + 24 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(1850, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1850, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1850, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(925, [\chi])\)\(^{\oplus 2}\)