Space of modular forms of level 1548, weight 2, and Character 1548.n

• Label: 1548.2.n
• Level: $1548$
• Weight: $2$
• Character orbit: 1548.n
• Rep. character: $\chi_{1548}(479,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $520$
• Sturm bound: $528$

Defining parameters

Level:	\( N \)	\(=\)	\( 1548 = 2^{2} \cdot 3^{2} \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1548.n (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1548 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(528\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1548, [\chi])\).

	Total	New	Old
Modular forms	536	536	0
Cusp forms	520	520	0
Eisenstein series	16	16	0

Trace form

520 * q - 6 * q^2 - 2 * q^4 + 3 * q^6 - 6 * q^9 - 4 * q^10 + 2 * q^12 + 2 * q^13 - 3 * q^14 - 2 * q^16 - 6 * q^17 + 8 * q^18 - 45 * q^20 - 6 * q^21 + 6 * q^22 + 24 * q^24 - 492 * q^25 + 6 * q^26 - 6 * q^28 - 7 * q^30 + 24 * q^32 + 18 * q^33 + 2 * q^34 + 47 * q^36 - 4 * q^37 + 3 * q^38 + 8 * q^40 - 42 * q^41 - 45 * q^42 - 6 * q^45 - 66 * q^48 - 476 * q^49 + 66 * q^50 + 14 * q^52 + 15 * q^54 - 26 * q^57 + 5 * q^58 - q^60 - 4 * q^61 + 6 * q^62 - 8 * q^64 - 12 * q^65 - 2 * q^66 + 87 * q^68 - 22 * q^69 - 3 * q^70 - 13 * q^72 + 2 * q^73 + 96 * q^74 + 6 * q^76 - 6 * q^77 - 92 * q^78 + 15 * q^80 - 22 * q^81 - 16 * q^82 + 69 * q^84 - 14 * q^85 - 57 * q^86 - 6 * q^88 + 60 * q^89 + 39 * q^90 - 3 * q^92 + 22 * q^93 - 18 * q^94 - 44 * q^96 - 10 * q^97 + 87 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(1548, [\chi])\) into newform subspaces

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