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

• Label: 1452.2.w
• Level: $1452$
• Weight: $2$
• Character orbit: 1452.w
• Rep. character: $\chi_{1452}(23,\cdot)$
• Character field: $\Q(\zeta_{22})$
• Dimension: $2600$
• Sturm bound: $528$

Defining parameters

Level:	\( N \)	\(=\)	\( 1452 = 2^{2} \cdot 3 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1452.w (of order \(22\) and degree \(10\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1452 \)
Character field:			\(\Q(\zeta_{22})\)
Sturm bound:			\(528\)

Dimensions

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

	Total	New	Old
Modular forms	2680	2680	0
Cusp forms	2600	2600	0
Eisenstein series	80	80	0

Trace form

2600 * q - 18 * q^4 - 27 * q^6 - 44 * q^9 - 18 * q^10 + 18 * q^12 - 36 * q^13 - 26 * q^16 + 9 * q^18 + 36 * q^21 - 22 * q^22 - 108 * q^24 + 216 * q^25 - 6 * q^28 + 28 * q^30 - 88 * q^33 - 38 * q^34 - 61 * q^36 - 36 * q^37 - 68 * q^40 - 74 * q^42 + 72 * q^45 + 22 * q^46 - 4 * q^48 + 192 * q^49 - 28 * q^52 + 105 * q^54 - 50 * q^57 - 114 * q^58 - 52 * q^60 - 36 * q^61 - 54 * q^64 + 32 * q^66 - 56 * q^69 - 82 * q^70 + 29 * q^72 - 20 * q^73 - 46 * q^76 + 6 * q^78 - 20 * q^81 - 30 * q^82 + 62 * q^84 - 92 * q^85 - 10 * q^88 - 172 * q^90 + 20 * q^93 - 100 * q^94 - 36 * q^96 - 20 * 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.