Space of modular forms of level 4205 and weight 2

• Label: 4205.2
• Level: 4205
• Weight: 2
• Dimension: 642587
• Nonzero newspaces: 24
• Sturm bound: 2825760

Defining parameters

Level:	\( N \)	=	\( 4205 = 5 \cdot 29^{2} \)
Weight:	\( k \)	=	\( 2 \)
Nonzero newspaces:			\( 24 \)
Sturm bound:			\(2825760\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(4205))\).

	Total	New	Old
Modular forms	711256	649477	61779
Cusp forms	701625	642587	59038
Eisenstein series	9631	6890	2741

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(4205))\)

We only show spaces with even parity, since no modular forms exist when this condition is not satisfied. Within each space \( S_k^{\mathrm{new}}(N, \chi) \) we list available newforms together with their dimension.

Label	\(\chi\)	Newforms	Dimension	\(\chi\) degree
4205.2.a	\(\chi_{4205}(1, \cdot)\)	4205.2.a.a	1	1
		4205.2.a.b	2
		4205.2.a.c	2
		4205.2.a.d	2
		4205.2.a.e	3
		4205.2.a.f	3
		4205.2.a.g	4
		4205.2.a.h	5
		4205.2.a.i	5
		4205.2.a.j	5
		4205.2.a.k	5
		4205.2.a.l	6
		4205.2.a.m	6
		4205.2.a.n	6
		4205.2.a.o	8
		4205.2.a.p	8
		4205.2.a.q	12
		4205.2.a.r	12
		4205.2.a.s	18
		4205.2.a.t	18
		4205.2.a.u	20
		4205.2.a.v	20
		4205.2.a.w	20
		4205.2.a.x	20
		4205.2.a.y	24
		4205.2.a.z	36
4205.2.b	\(\chi_{4205}(2524, \cdot)\)	n/a	378	1
4205.2.c	\(\chi_{4205}(1681, \cdot)\)	n/a	270	1
4205.2.d	\(\chi_{4205}(4204, \cdot)\)	n/a	380	1
4205.2.e	\(\chi_{4205}(882, \cdot)\)	n/a	758	2
4205.2.j	\(\chi_{4205}(1723, \cdot)\)	n/a	758	2
4205.2.k	\(\chi_{4205}(571, \cdot)\)	n/a	1620	6
4205.2.l	\(\chi_{4205}(904, \cdot)\)	n/a	2280	6
4205.2.m	\(\chi_{4205}(196, \cdot)\)	n/a	1620	6
4205.2.n	\(\chi_{4205}(574, \cdot)\)	n/a	2268	6
4205.2.o	\(\chi_{4205}(137, \cdot)\)	n/a	4548	12
4205.2.t	\(\chi_{4205}(827, \cdot)\)	n/a	4548	12
4205.2.u	\(\chi_{4205}(146, \cdot)\)	n/a	8120	28
4205.2.v	\(\chi_{4205}(144, \cdot)\)	n/a	12096	28
4205.2.w	\(\chi_{4205}(86, \cdot)\)	n/a	8120	28
4205.2.x	\(\chi_{4205}(59, \cdot)\)	n/a	12152	28
4205.2.y	\(\chi_{4205}(17, \cdot)\)	n/a	24248	56
4205.2.bd	\(\chi_{4205}(12, \cdot)\)	n/a	24248	56
4205.2.be	\(\chi_{4205}(16, \cdot)\)	n/a	48720	168
4205.2.bf	\(\chi_{4205}(24, \cdot)\)	n/a	72912	168
4205.2.bg	\(\chi_{4205}(6, \cdot)\)	n/a	48720	168
4205.2.bh	\(\chi_{4205}(4, \cdot)\)	n/a	72576	168
4205.2.bi	\(\chi_{4205}(3, \cdot)\)	n/a	145488	336
4205.2.bn	\(\chi_{4205}(2, \cdot)\)	n/a	145488	336

"n/a" means that newforms for that character have not been added to the database yet

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(4205))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(4205)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(1))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(5))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(29))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(145))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(841))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(4205))\)\(^{\oplus 1}\)