Space of modular forms of level 1452, weight 2, and Character 1452.bf

• Label: 1452.2.bf
• Level: $1452$
• Weight: $2$
• Character orbit: 1452.bf
• Rep. character: $\chi_{1452}(7,\cdot)$
• Character field: $\Q(\zeta_{110})$
• Dimension: $5280$
• Sturm bound: $528$

Defining parameters

Level:	\( N \)	\(=\)	\( 1452 = 2^{2} \cdot 3 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1452.bf (of order \(110\) and degree \(40\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 484 \)
Character field:			\(\Q(\zeta_{110})\)
Sturm bound:			\(528\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1452, [\chi])\).

	Total	New	Old
Modular forms	10720	5280	5440
Cusp forms	10400	5280	5120
Eisenstein series	320	0	320

Trace form

5280 * q + 4 * q^4 + 1320 * q^9 - 8 * q^12 + 6 * q^14 + 16 * q^16 + 10 * q^18 + 30 * q^20 + 26 * q^22 + 30 * q^24 + 140 * q^25 + 30 * q^26 + 10 * q^28 + 20 * q^30 + 4 * q^33 + 32 * q^34 - 4 * q^36 + 48 * q^37 - 58 * q^38 - 70 * q^40 + 40 * q^41 - 12 * q^42 - 12 * q^44 - 70 * q^46 + 16 * q^48 + 148 * q^49 + 194 * q^50 + 124 * q^52 - 24 * q^53 + 126 * q^56 + 64 * q^58 + 110 * q^62 + 52 * q^64 + 8 * q^66 - 8 * q^70 - 10 * q^72 - 20 * q^73 - 50 * q^74 - 110 * q^76 + 8 * q^77 - 102 * q^78 - 38 * q^80 - 1320 * q^81 - 42 * q^82 - 60 * q^84 - 40 * q^85 - 20 * q^86 - 8 * q^88 - 16 * q^89 - 20 * q^90 - 22 * q^92 - 24 * q^93 + 10 * q^94 - 50 * q^96 - 40 * q^97 + 176 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(1452, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1452, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1452, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(484, [\chi])\)\(^{\oplus 2}\)