Space of modular forms of level 2475, weight 2, and Character 2475.cm

• Label: 2475.2.cm
• Level: $2475$
• Weight: $2$
• Character orbit: 2475.cm
• Rep. character: $\chi_{2475}(494,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $480$
• Sturm bound: $720$

Defining parameters

Level:	\( N \)	\(=\)	\( 2475 = 3^{2} \cdot 5^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2475.cm (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 825 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(720\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2475, [\chi])\).

	Total	New	Old
Modular forms	1472	480	992
Cusp forms	1408	480	928
Eisenstein series	64	0	64

Trace form

\( 480 q + 120 q^{4} - 72 q^{16} - 40 q^{22} + 8 q^{25} + 24 q^{31} + 448 q^{49} + 8 q^{55} - 120 q^{58} + 72 q^{64} - 80 q^{67} + 32 q^{70} + 140 q^{88} - 32 q^{91} - 280 q^{97}+O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2475, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2475, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2475, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(825, [\chi])\)\(^{\oplus 2}\)