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

• Label: 1150.2.i
• Level: $1150$
• Weight: $2$
• Character orbit: 1150.i
• Rep. character: $\chi_{1150}(139,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $224$
• Sturm bound: $360$

Defining parameters

Level:	\( N \)	\(=\)	\( 1150 = 2 \cdot 5^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1150.i (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 25 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(360\)

Dimensions

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

	Total	New	Old
Modular forms	736	224	512
Cusp forms	704	224	480
Eisenstein series	32	0	32

Trace form

224 * q + 56 * q^4 - 4 * q^6 + 60 * q^9 + 16 * q^15 - 56 * q^16 - 24 * q^21 - 16 * q^24 - 8 * q^25 + 56 * q^26 + 60 * q^27 - 20 * q^28 + 4 * q^29 + 12 * q^31 + 100 * q^33 + 16 * q^35 - 60 * q^36 + 20 * q^37 + 40 * q^39 + 28 * q^41 + 20 * q^42 - 4 * q^45 - 4 * q^46 + 80 * q^47 - 248 * q^49 + 12 * q^50 - 64 * q^51 - 40 * q^53 + 40 * q^54 + 48 * q^55 + 36 * q^59 + 4 * q^60 + 48 * q^61 - 60 * q^62 - 100 * q^63 + 56 * q^64 - 84 * q^65 - 32 * q^66 - 80 * q^67 + 8 * q^69 + 60 * q^70 + 16 * q^71 + 40 * q^73 + 8 * q^74 - 48 * q^75 + 60 * q^78 + 32 * q^79 - 104 * q^81 + 60 * q^83 - 36 * q^84 - 36 * q^85 - 100 * q^87 + 20 * q^88 - 24 * q^89 - 36 * q^90 - 24 * q^91 + 32 * q^94 - 48 * q^95 - 4 * q^96 - 20 * q^97 + 80 * q^98 + 64 * 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

\( S_{2}^{\mathrm{old}}(1150, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(25, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(50, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(575, [\chi])\)\(^{\oplus 2}\)