Space of modular forms of level 1452, weight 3, and Character 1452.v

• Label: 1452.3.v
• Level: $1452$
• Weight: $3$
• Character orbit: 1452.v
• Rep. character: $\chi_{1452}(131,\cdot)$
• Character field: $\Q(\zeta_{22})$
• Dimension: $5240$
• Sturm bound: $792$

Defining parameters

Level:	\( N \)	\(=\)	\( 1452 = 2^{2} \cdot 3 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	1452.v (of order \(22\) and degree \(10\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1452 \)
Character field:			\(\Q(\zeta_{22})\)
Sturm bound:			\(792\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{3}(1452, [\chi])\).

	Total	New	Old
Modular forms	5320	5320	0
Cusp forms	5240	5240	0
Eisenstein series	80	80	0

Trace form

5240 * q - 18 * q^4 - 55 * q^6 - 32 * q^9 - 22 * q^10 + 72 * q^12 - 44 * q^13 - 74 * q^16 + 33 * q^18 + 176 * q^21 - 34 * q^22 - 198 * q^24 + 2520 * q^25 - 22 * q^28 + 88 * q^30 - 200 * q^33 - 86 * q^34 - 41 * q^36 - 36 * q^37 + 12 * q^42 + 432 * q^45 - 22 * q^46 - 38 * q^48 - 3456 * q^49 + 1144 * q^52 + 99 * q^54 - 924 * q^57 - 826 * q^58 - 2 * q^60 - 44 * q^61 + 162 * q^64 + 116 * q^66 - 148 * q^69 - 58 * q^70 + 693 * q^72 - 44 * q^73 - 22 * q^76 + 12 * q^78 - 320 * q^81 - 14 * q^82 + 88 * q^84 - 44 * q^85 - 218 * q^88 - 902 * q^90 + 304 * q^93 - 110 * q^96 - 356 * q^97

Decomposition of \(S_{3}^{\mathrm{new}}(1452, [\chi])\) into newform subspaces

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