Space of modular forms of level 1150, weight 2, and Character 1150.w

• Label: 1150.2.w
• Level: $1150$
• Weight: $2$
• Character orbit: 1150.w
• Rep. character: $\chi_{1150}(17,\cdot)$
• Character field: $\Q(\zeta_{220})$
• Dimension: $4800$
• Sturm bound: $360$

Defining parameters

Level:	\( N \)	\(=\)	\( 1150 = 2 \cdot 5^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1150.w (of order \(220\) and degree \(80\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 575 \)
Character field:			\(\Q(\zeta_{220})\)
Sturm bound:			\(360\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1150, [\chi])\).

	Total	New	Old
Modular forms	14720	4800	9920
Cusp forms	14080	4800	9280
Eisenstein series	640	0	640

Trace form

4800 * q + 8 * q^3 + 8 * q^12 - 16 * q^13 - 120 * q^16 + 72 * q^18 - 320 * q^23 + 120 * q^25 + 104 * q^27 + 44 * q^28 - 80 * q^29 + 44 * q^33 - 32 * q^35 + 120 * q^36 + 88 * q^37 + 80 * q^39 - 320 * q^47 - 8 * q^48 - 8 * q^50 - 16 * q^52 - 40 * q^55 + 88 * q^57 + 120 * q^59 + 32 * q^62 - 140 * q^69 + 136 * q^70 + 360 * q^71 - 16 * q^72 - 72 * q^73 - 124 * q^75 - 136 * q^77 + 160 * q^78 - 40 * q^81 + 120 * q^82 + 100 * q^85 - 120 * q^87 - 28 * q^92 + 64 * q^93 - 412 * q^95 - 132 * q^97 - 24 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(1150, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1150, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1150, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(575, [\chi])\)\(^{\oplus 2}\)