Space of modular forms of level 2548, weight 2, and Character 2548.dn

• Label: 2548.2.dn
• Level: $2548$
• Weight: $2$
• Character orbit: 2548.dn
• Rep. character: $\chi_{2548}(251,\cdot)$
• Character field: $\Q(\zeta_{42})$
• Dimension: $4656$
• Sturm bound: $784$

Defining parameters

Level:	\( N \)	\(=\)	\( 2548 = 2^{2} \cdot 7^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2548.dn (of order \(42\) and degree \(12\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2548 \)
Character field:			\(\Q(\zeta_{42})\)
Sturm bound:			\(784\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2548, [\chi])\).

	Total	New	Old
Modular forms	4752	4752	0
Cusp forms	4656	4656	0
Eisenstein series	96	96	0

Trace form

4656 * q - 15 * q^2 - 5 * q^4 - 21 * q^6 + 370 * q^9 - 7 * q^10 - 28 * q^12 - 28 * q^13 - 20 * q^14 + 3 * q^16 - 14 * q^17 - 21 * q^20 - 25 * q^22 - 21 * q^24 - 784 * q^25 - 14 * q^26 - 111 * q^28 - 10 * q^29 - 22 * q^30 - 15 * q^32 - 42 * q^33 - 35 * q^36 - 30 * q^37 - 56 * q^38 - 28 * q^40 - 42 * q^41 + q^42 - 42 * q^45 - 105 * q^46 - 4 * q^49 - 318 * q^50 - 14 * q^52 - 24 * q^53 - 84 * q^54 - 55 * q^56 - 15 * q^58 - 42 * q^61 + 7 * q^62 + 28 * q^64 + 12 * q^65 + 112 * q^66 + 42 * q^69 - 63 * q^72 + 3 * q^74 - 21 * q^76 - 68 * q^77 + 32 * q^78 + 358 * q^81 + 98 * q^82 - 63 * q^84 + 30 * q^85 + 11 * q^88 - 42 * q^89 - 196 * q^90 - 140 * q^92 - 12 * q^93 - 70 * q^94 + 51 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(2548, [\chi])\) into newform subspaces

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