Space of modular forms of level 7175, weight 2, and Character 7175.my

• Label: 7175.2.my
• Level: $7175$
• Weight: $2$
• Character orbit: 7175.my
• Rep. character: $\chi_{7175}(459,\cdot)$
• Character field: $\Q(\zeta_{60})$
• Dimension: $13376$
• Sturm bound: $1680$

Defining parameters

Level:	\( N \)	\(=\)	\( 7175 = 5^{2} \cdot 7 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	7175.my (of order \(60\) and degree \(16\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 7175 \)
Character field:			\(\Q(\zeta_{60})\)
Sturm bound:			\(1680\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7175, [\chi])\).

	Total	New	Old
Modular forms	13504	13504	0
Cusp forms	13376	13376	0
Eisenstein series	128	128	0

Decomposition of \(S_{2}^{\mathrm{new}}(7175, [\chi])\) into newform subspaces

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