Space of modular forms of level 1476, weight 2, and Character 1476.bd

• Label: 1476.2.bd
• Level: $1476$
• Weight: $2$
• Character orbit: 1476.bd
• Rep. character: $\chi_{1476}(107,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $336$
• Sturm bound: $504$

Defining parameters

Level:	\( N \)	\(=\)	\( 1476 = 2^{2} \cdot 3^{2} \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1476.bd (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 492 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(504\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1476, [\chi])\).

	Total	New	Old
Modular forms	1040	336	704
Cusp forms	976	336	640
Eisenstein series	64	0	64

Trace form

\( 336 q + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1476, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1476, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1476, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(492, [\chi])\)\(^{\oplus 2}\)