Space of modular forms of level 4205, weight 2, and Character 4205.w

• Label: 4205.2.w
• Level: $4205$
• Weight: $2$
• Character orbit: 4205.w
• Rep. character: $\chi_{4205}(86,\cdot)$
• Character field: $\Q(\zeta_{58})$
• Dimension: $8120$
• Sturm bound: $870$

Defining parameters

Level:	$N$	$=$	$4205 = 5 \cdot 29^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	4205.w (of order $58$ and degree $28$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$841$
Character field:			$\Q(\zeta_{58})$
Sturm bound:			$870$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(4205, [\chi])$.

	Total	New	Old
Modular forms	12264	8120	4144
Cusp forms	12152	8120	4032
Eisenstein series	112	0	112

Decomposition of $S_{2}^{\mathrm{new}}(4205, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(4205, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(4205, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(841, [\chi])$$^{\oplus 2}$