Space of modular forms of level 4232 and weight 2

• Label: 4232.2
• Level: 4232
• Weight: 2
• Dimension: 311630
• Nonzero newspaces: 12
• Sturm bound: 2234496

Defining parameters

Level:	\( N \)	=	\( 4232 = 2^{3} \cdot 23^{2} \)
Weight:	\( k \)	=	\( 2 \)
Nonzero newspaces:			\( 12 \)
Sturm bound:			\(2234496\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(4232))\).

	Total	New	Old
Modular forms	563112	314448	248664
Cusp forms	554137	311630	242507
Eisenstein series	8975	2818	6157

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(4232))\)

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
4232.2.a	\(\chi_{4232}(1, \cdot)\)	4232.2.a.a	1	1
		4232.2.a.b	1
		4232.2.a.c	1
		4232.2.a.d	1
		4232.2.a.e	1
		4232.2.a.f	1
		4232.2.a.g	1
		4232.2.a.h	1
		4232.2.a.i	1
		4232.2.a.j	1
		4232.2.a.k	2
		4232.2.a.l	2
		4232.2.a.m	2
		4232.2.a.n	2
		4232.2.a.o	2
		4232.2.a.p	2
		4232.2.a.q	2
		4232.2.a.r	4
		4232.2.a.s	4
		4232.2.a.t	4
		4232.2.a.u	4
		4232.2.a.v	6
		4232.2.a.w	8
		4232.2.a.x	12
		4232.2.a.y	15
		4232.2.a.z	15
		4232.2.a.ba	15
		4232.2.a.bb	15
4232.2.b	\(\chi_{4232}(2117, \cdot)\)	n/a	484	1
4232.2.c	\(\chi_{4232}(4231, \cdot)\)	None	0	1
4232.2.h	\(\chi_{4232}(2115, \cdot)\)	n/a	484	1
4232.2.i	\(\chi_{4232}(177, \cdot)\)	n/a	1260	10
4232.2.j	\(\chi_{4232}(195, \cdot)\)	n/a	4840	10
4232.2.o	\(\chi_{4232}(63, \cdot)\)	None	0	10
4232.2.p	\(\chi_{4232}(501, \cdot)\)	n/a	4840	10
4232.2.q	\(\chi_{4232}(185, \cdot)\)	n/a	3036	22
4232.2.r	\(\chi_{4232}(91, \cdot)\)	n/a	12100	22
4232.2.w	\(\chi_{4232}(183, \cdot)\)	None	0	22
4232.2.x	\(\chi_{4232}(93, \cdot)\)	n/a	12100	22
4232.2.y	\(\chi_{4232}(9, \cdot)\)	n/a	30360	220
4232.2.z	\(\chi_{4232}(13, \cdot)\)	n/a	121000	220
4232.2.ba	\(\chi_{4232}(7, \cdot)\)	None	0	220
4232.2.bf	\(\chi_{4232}(11, \cdot)\)	n/a	121000	220

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(4232))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(4232)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(1))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(4))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(8))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(23))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(46))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(92))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(184))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(529))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1058))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2116))\)\(^{\oplus 2}\)