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

• Label: 1150.2.u
• Level: $1150$
• Weight: $2$
• Character orbit: 1150.u
• Rep. character: $\chi_{1150}(9,\cdot)$
• Character field: $\Q(\zeta_{110})$
• Dimension: $2400$
• Sturm bound: $360$

Defining parameters

Level:	\( N \)	\(=\)	\( 1150 = 2 \cdot 5^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1150.u (of order \(110\) and degree \(40\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 575 \)
Character field:			\(\Q(\zeta_{110})\)
Sturm bound:			\(360\)

Dimensions

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

	Total	New	Old
Modular forms	7360	2400	4960
Cusp forms	7040	2400	4640
Eisenstein series	320	0	320

Trace form

2400 * q - 60 * q^4 + 20 * q^5 - 52 * q^9 + 8 * q^11 + 20 * q^12 + 8 * q^14 + 46 * q^15 + 60 * q^16 - 20 * q^17 - 20 * q^19 + 22 * q^20 - 8 * q^21 - 40 * q^22 + 210 * q^23 + 32 * q^25 - 60 * q^27 - 24 * q^29 + 4 * q^30 - 24 * q^31 - 40 * q^33 + 8 * q^34 - 36 * q^35 + 52 * q^36 - 24 * q^39 + 12 * q^44 - 16 * q^45 + 12 * q^46 + 200 * q^47 + 20 * q^48 + 280 * q^49 - 12 * q^50 + 32 * q^51 + 40 * q^53 + 16 * q^55 - 8 * q^56 - 36 * q^59 + 18 * q^60 - 20 * q^61 + 60 * q^62 + 60 * q^63 - 60 * q^64 + 138 * q^65 - 16 * q^66 + 60 * q^67 - 330 * q^69 + 28 * q^70 - 168 * q^71 - 40 * q^73 - 80 * q^74 - 610 * q^75 - 80 * q^77 - 100 * q^78 - 32 * q^79 + 22 * q^80 - 4 * q^81 - 160 * q^83 + 8 * q^84 + 98 * q^85 - 44 * q^86 + 60 * q^87 - 16 * q^89 + 96 * q^90 + 120 * q^91 + 10 * q^92 + 16 * q^94 + 202 * q^95 + 60 * q^97 - 228 * q^99

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

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