Space of modular forms of level 1156, weight 2, and Character 1156.p

• Label: 1156.2.p
• Level: $1156$
• Weight: $2$
• Character orbit: 1156.p
• Rep. character: $\chi_{1156}(13,\cdot)$
• Character field: $\Q(\zeta_{68})$
• Dimension: $832$
• Sturm bound: $306$

Defining parameters

Level:	\( N \)	\(=\)	\( 1156 = 2^{2} \cdot 17^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1156.p (of order \(68\) and degree \(32\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 289 \)
Character field:			\(\Q(\zeta_{68})\)
Sturm bound:			\(306\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1156, [\chi])\).

	Total	New	Old
Modular forms	4992	832	4160
Cusp forms	4800	832	3968
Eisenstein series	192	0	192

Trace form

832 * q + 2 * q^3 + 4 * q^5 - 2 * q^7 - 6 * q^11 + 8 * q^13 + 20 * q^21 + 10 * q^23 - 102 * q^25 - 28 * q^27 - 8 * q^29 - 10 * q^31 + 86 * q^33 + 12 * q^35 - 12 * q^37 - 112 * q^39 - 4 * q^41 - 16 * q^45 + 20 * q^47 - 106 * q^51 + 34 * q^53 + 8 * q^55 + 20 * q^57 - 4 * q^61 - 34 * q^63 - 4 * q^65 - 140 * q^67 - 32 * q^69 + 10 * q^71 + 28 * q^73 + 142 * q^75 + 68 * q^77 + 96 * q^79 + 80 * q^81 - 68 * q^83 - 162 * q^85 + 8 * q^89 - 24 * q^91 - 12 * q^95 + 16 * q^97 + 2 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1156, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1156, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1156, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(289, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(578, [\chi])\)\(^{\oplus 2}\)