Space of modular forms of level 4334 and weight 2

• Label: 4334.2
• Level: 4334
• Weight: 2
• Dimension: 190799
• Nonzero newspaces: 18
• Sturm bound: 2328480

Defining parameters

Level:	\( N \)	=	\( 4334 = 2 \cdot 11 \cdot 197 \)
Weight:	\( k \)	=	\( 2 \)
Nonzero newspaces:			\( 18 \)
Sturm bound:			\(2328480\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(4334))\).

	Total	New	Old
Modular forms	586040	190799	395241
Cusp forms	578201	190799	387402
Eisenstein series	7839	0	7839

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(4334))\)

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
4334.2.a	\(\chi_{4334}(1, \cdot)\)	4334.2.a.a	15	1
		4334.2.a.b	15
		4334.2.a.c	17
		4334.2.a.d	17
		4334.2.a.e	24
		4334.2.a.f	24
		4334.2.a.g	26
		4334.2.a.h	27
4334.2.c	\(\chi_{4334}(3939, \cdot)\)	n/a	166	1
4334.2.f	\(\chi_{4334}(1759, \cdot)\)	n/a	396	2
4334.2.g	\(\chi_{4334}(1577, \cdot)\)	n/a	784	4
4334.2.h	\(\chi_{4334}(375, \cdot)\)	n/a	984	6
4334.2.j	\(\chi_{4334}(1181, \cdot)\)	n/a	792	4
4334.2.m	\(\chi_{4334}(881, \cdot)\)	n/a	996	6
4334.2.o	\(\chi_{4334}(183, \cdot)\)	n/a	1584	8
4334.2.q	\(\chi_{4334}(87, \cdot)\)	n/a	2376	12
4334.2.s	\(\chi_{4334}(191, \cdot)\)	n/a	4752	24
4334.2.t	\(\chi_{4334}(23, \cdot)\)	n/a	6888	42
4334.2.v	\(\chi_{4334}(93, \cdot)\)	n/a	4752	24
4334.2.x	\(\chi_{4334}(155, \cdot)\)	n/a	6972	42
4334.2.bb	\(\chi_{4334}(129, \cdot)\)	n/a	9504	48
4334.2.bc	\(\chi_{4334}(21, \cdot)\)	n/a	16632	84
4334.2.be	\(\chi_{4334}(37, \cdot)\)	n/a	33264	168
4334.2.bh	\(\chi_{4334}(9, \cdot)\)	n/a	33264	168
4334.2.bj	\(\chi_{4334}(13, \cdot)\)	n/a	66528	336

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(4334))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(4334)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(1))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(11))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(22))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(197))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(394))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2167))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(4334))\)\(^{\oplus 1}\)