Space of modular forms of level 1176, weight 2, and Character 1176.cc

• Label: 1176.2.cc
• Level: $1176$
• Weight: $2$
• Character orbit: 1176.cc
• Rep. character: $\chi_{1176}(5,\cdot)$
• Character field: $\Q(\zeta_{42})$
• Dimension: $2640$
• Sturm bound: $448$

Defining parameters

Level:	\( N \)	\(=\)	\( 1176 = 2^{3} \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1176.cc (of order \(42\) and degree \(12\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1176 \)
Character field:			\(\Q(\zeta_{42})\)
Sturm bound:			\(448\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1176, [\chi])\).

	Total	New	Old
Modular forms	2736	2736	0
Cusp forms	2640	2640	0
Eisenstein series	96	96	0

Trace form

2640 * q - 26 * q^4 - 14 * q^6 - 48 * q^7 - 26 * q^9 - 22 * q^10 - 31 * q^12 - 8 * q^15 - 26 * q^16 - 7 * q^18 - 40 * q^22 - 2 * q^24 - 256 * q^25 - 52 * q^28 - 19 * q^30 - 72 * q^31 - 22 * q^33 + 28 * q^34 - 38 * q^36 - 20 * q^39 + 94 * q^40 - 50 * q^42 - 28 * q^46 - 40 * q^49 + 20 * q^52 - 74 * q^54 - 56 * q^55 + 10 * q^57 - 30 * q^58 - 114 * q^60 + 2 * q^63 - 56 * q^64 + 100 * q^66 - 140 * q^70 - 32 * q^72 - 20 * q^73 - 140 * q^76 + 12 * q^78 - 24 * q^79 - 90 * q^81 - 6 * q^82 + 92 * q^84 - 4 * q^87 - 22 * q^88 - 245 * q^90 - 160 * q^94 + 260 * q^96

Decomposition of \(S_{2}^{\mathrm{new}}(1176, [\chi])\) into newform subspaces

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