Space of modular forms of level 3060, weight 2, and Character 3060.ei

• Label: 3060.2.ei
• Level: $3060$
• Weight: $2$
• Character orbit: 3060.ei
• Rep. character: $\chi_{3060}(59,\cdot)$
• Character field: $\Q(\zeta_{24})$
• Dimension: $5120$
• Sturm bound: $1296$

Defining parameters

Level:	\( N \)	\(=\)	\( 3060 = 2^{2} \cdot 3^{2} \cdot 5 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3060.ei (of order \(24\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3060 \)
Character field:			\(\Q(\zeta_{24})\)
Sturm bound:			\(1296\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3060, [\chi])\).

	Total	New	Old
Modular forms	5248	5248	0
Cusp forms	5120	5120	0
Eisenstein series	128	128	0

Trace form

5120 * q - 24 * q^5 - 16 * q^6 - 32 * q^9 - 16 * q^10 - 24 * q^14 - 16 * q^16 - 12 * q^20 - 16 * q^24 - 8 * q^25 - 48 * q^29 - 32 * q^34 - 48 * q^36 - 4 * q^40 - 48 * q^41 - 16 * q^45 - 80 * q^46 - 16 * q^49 - 24 * q^50 - 16 * q^54 - 24 * q^56 - 96 * q^60 - 16 * q^61 - 24 * q^65 - 240 * q^66 - 64 * q^69 + 4 * q^70 - 24 * q^74 - 40 * q^76 - 96 * q^84 - 8 * q^85 + 192 * q^86 - 200 * q^90 + 24 * q^94 + 136 * q^96

Decomposition of \(S_{2}^{\mathrm{new}}(3060, [\chi])\) into newform subspaces

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