Space of modular forms of level 2312, weight 2, and Character 2312.v

• Label: 2312.2.v
• Level: $2312$
• Weight: $2$
• Character orbit: 2312.v
• Rep. character: $\chi_{2312}(101,\cdot)$
• Character field: $\Q(\zeta_{34})$
• Dimension: $4864$
• Sturm bound: $612$

Defining parameters

Level:	\( N \)	\(=\)	\( 2312 = 2^{3} \cdot 17^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2312.v (of order \(34\) and degree \(16\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2312 \)
Character field:			\(\Q(\zeta_{34})\)
Sturm bound:			\(612\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2312, [\chi])\).

	Total	New	Old
Modular forms	4928	4928	0
Cusp forms	4864	4864	0
Eisenstein series	64	64	0

Trace form

4864 * q - 15 * q^2 - 11 * q^4 - 17 * q^6 - 34 * q^7 - 15 * q^8 - 330 * q^9 - 51 * q^10 - 17 * q^12 - 102 * q^14 - 26 * q^15 - 71 * q^16 - 34 * q^17 - 15 * q^18 - 17 * q^20 - 17 * q^22 - 34 * q^23 - 102 * q^24 - 356 * q^25 - 17 * q^26 - 17 * q^28 - 11 * q^30 - 34 * q^31 - 25 * q^32 - 26 * q^33 - 35 * q^34 + 15 * q^36 - 70 * q^38 - 34 * q^39 - 34 * q^41 - 27 * q^42 - 17 * q^44 - 17 * q^46 - 10 * q^47 + 204 * q^48 + 262 * q^49 - 41 * q^50 - 17 * q^52 + 68 * q^54 - 26 * q^55 - 17 * q^56 - 34 * q^57 - 136 * q^58 + 9 * q^60 - 17 * q^62 - 34 * q^63 + q^64 - 228 * q^66 - 55 * q^68 - 69 * q^70 + 238 * q^71 - 77 * q^72 - 34 * q^73 + 170 * q^74 + 103 * q^76 - 17 * q^78 - 34 * q^79 + 153 * q^80 - 298 * q^81 - 17 * q^82 - 77 * q^84 - 31 * q^86 + 6 * q^87 - 153 * q^88 - 10 * q^89 - 17 * q^90 - 119 * q^92 + 293 * q^94 - 34 * q^95 - 306 * q^96 - 34 * q^97 - 37 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(2312, [\chi])\) into newform subspaces

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