Space of modular forms of level 475, weight 3, and Character 475.m

• Label: 475.3.m
• Level: $475$
• Weight: $3$
• Character orbit: 475.m
• Rep. character: $\chi_{475}(94,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $392$
• Sturm bound: $150$

Defining parameters

Level:	\( N \)	\(=\)	\( 475 = 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	475.m (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 475 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(150\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{3}(475, [\chi])\).

	Total	New	Old
Modular forms	408	408	0
Cusp forms	392	392	0
Eisenstein series	16	16	0

Trace form

\( 392 q - 198 q^{4} - 9 q^{5} + 10 q^{6} - 288 q^{9} + O(q^{10}) \)

Decomposition of \(S_{3}^{\mathrm{new}}(475, [\chi])\) into newform subspaces

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