Space of modular forms of level 2420, weight 2, and Character 2420.bg

• Label: 2420.2.bg
• Level: $2420$
• Weight: $2$
• Character orbit: 2420.bg
• Rep. character: $\chi_{2420}(23,\cdot)$
• Character field: $\Q(\zeta_{44})$
• Dimension: $7840$
• Sturm bound: $792$

Defining parameters

Level:	\( N \)	\(=\)	\( 2420 = 2^{2} \cdot 5 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2420.bg (of order \(44\) and degree \(20\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2420 \)
Character field:			\(\Q(\zeta_{44})\)
Sturm bound:			\(792\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2420, [\chi])\).

	Total	New	Old
Modular forms	8000	8000	0
Cusp forms	7840	7840	0
Eisenstein series	160	160	0

Trace form

7840 * q - 18 * q^2 - 36 * q^5 - 36 * q^6 - 18 * q^8 - 34 * q^10 - 88 * q^12 - 36 * q^13 - 36 * q^16 - 36 * q^17 + 72 * q^18 - 14 * q^20 - 72 * q^21 - 22 * q^22 - 36 * q^25 - 68 * q^26 - 2 * q^28 + 18 * q^30 + 2 * q^32 + 88 * q^33 + 76 * q^36 - 36 * q^37 + 18 * q^38 - 76 * q^40 - 56 * q^41 - 88 * q^42 + 144 * q^45 - 84 * q^46 + 36 * q^48 - 108 * q^50 - 18 * q^52 - 36 * q^53 + 236 * q^56 - 144 * q^57 - 54 * q^58 + 58 * q^60 - 72 * q^61 + 14 * q^62 - 36 * q^65 - 44 * q^66 - 50 * q^68 - 38 * q^70 + 132 * q^72 - 52 * q^73 - 52 * q^76 - 44 * q^77 + 68 * q^78 + 272 * q^80 - 7360 * q^81 + 6 * q^82 + 12 * q^85 + 12 * q^86 - 46 * q^88 + 104 * q^90 - 98 * q^92 + 40 * q^93 - 60 * q^96 - 116 * q^97 + 14 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(2420, [\chi])\) into newform subspaces

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