Space of modular forms of level 1875, weight 2, and Character 1875.v

• Label: 1875.2.v
• Level: $1875$
• Weight: $2$
• Character orbit: 1875.v
• Rep. character: $\chi_{1875}(4,\cdot)$
• Character field: $\Q(\zeta_{250})$
• Dimension: $12400$
• Sturm bound: $500$

Defining parameters

Level:	\( N \)	\(=\)	\( 1875 = 3 \cdot 5^{4} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1875.v (of order \(250\) and degree \(100\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 625 \)
Character field:			\(\Q(\zeta_{250})\)
Sturm bound:			\(500\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1875, [\chi])\).

	Total	New	Old
Modular forms	25200	12400	12800
Cusp forms	24800	12400	12400
Eisenstein series	400	0	400

Trace form

\( 12400 q + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1875, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1875, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1875, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(625, [\chi])\)\(^{\oplus 2}\)