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

• Label: 1452.2.c
• Level: $1452$
• Weight: $2$
• Character orbit: 1452.c
• Rep. character: $\chi_{1452}(1211,\cdot)$
• Character field: $\Q$
• Dimension: $200$
• Sturm bound: $528$

Defining parameters

Level:	\( N \)	\(=\)	\( 1452 = 2^{2} \cdot 3 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1452.c (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 12 \)
Character field:			\(\Q\)
Sturm bound:			\(528\)

Dimensions

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

	Total	New	Old
Modular forms	288	236	52
Cusp forms	240	200	40
Eisenstein series	48	36	12

Trace form

200 * q + 4 * q^4 + 6 * q^6 + 4 * q^10 - 14 * q^12 + 8 * q^13 - 4 * q^16 - 2 * q^18 - 8 * q^21 + 24 * q^24 - 120 * q^25 + 16 * q^28 + 6 * q^30 - 36 * q^34 + 14 * q^36 + 8 * q^37 - 24 * q^40 - 40 * q^42 - 12 * q^45 + 44 * q^46 - 46 * q^48 - 104 * q^49 + 16 * q^52 - 16 * q^54 + 16 * q^57 + 20 * q^58 + 32 * q^60 + 8 * q^61 - 8 * q^64 + 8 * q^69 - 124 * q^70 - 48 * q^72 + 24 * q^73 - 24 * q^76 + 20 * q^78 + 24 * q^81 - 8 * q^82 + 40 * q^84 - 48 * q^85 - 62 * q^90 - 48 * q^93 - 56 * q^94 + 8 * q^96 + 24 * q^97

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

\( S_{2}^{\mathrm{old}}(1452, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(132, [\chi])\)\(^{\oplus 2}\)