Space of modular forms of level 2883 and weight 1

• Label: 2883.1
• Level: 2883
• Weight: 1
• Dimension: 266
• Nonzero newspaces: 6
• Newform subspaces: 17
• Sturm bound: 615040
• Trace bound: 1

Defining parameters

Level:	$N$	=	$2883 = 3 \cdot 31^{2}$
Weight:	$k$	=	$1$
Nonzero newspaces:			$6$
Newform subspaces:			$17$
Sturm bound:			$615040$
Trace bound:			$1$

Dimensions

The following table gives the dimensions of various subspaces of $M_{1}(\Gamma_1(2883))$.

	Total	New	Old
Modular forms	3066	1587	1479
Cusp forms	306	266	40
Eisenstein series	2760	1321	1439

The following table gives the dimensions of subspaces with specified projective image type.

	$D_n$	$A_4$	$S_4$	$A_5$
Dimension	206	0	60	0

Trace form

266 * q + q^3 + q^4 + 2 * q^7 + q^9 + q^12 + 2 * q^13 + q^16 + 2 * q^19 - 8 * q^21 - 9 * q^25 + q^27 - 8 * q^28 - 9 * q^36 + 2 * q^37 - 8 * q^39 - 8 * q^43 + q^48 + 3 * q^49 + 2 * q^52 + 2 * q^57 + 2 * q^61 - 28 * q^63 + q^64 + 2 * q^67 + 2 * q^73 + q^75 - 8 * q^76 - 8 * q^79 + q^81 + 2 * q^84 - 6 * q^91 - 8 * q^97

Decomposition of $S_{1}^{\mathrm{new}}(\Gamma_1(2883))$

We only show spaces with odd 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
2883.1.b	$\chi_{2883}(962, \cdot)$	2883.1.b.a	2	1
		2883.1.b.b	2
		2883.1.b.c	4
2883.1.d	$\chi_{2883}(1921, \cdot)$	None	0	1
2883.1.h	$\chi_{2883}(521, \cdot)$	2883.1.h.a	4	2
		2883.1.h.b	4
		2883.1.h.c	8
2883.1.i	$\chi_{2883}(1483, \cdot)$	None	0	2
2883.1.j	$\chi_{2883}(430, \cdot)$	None	0	4
2883.1.l	$\chi_{2883}(374, \cdot)$	2883.1.l.a	4	4
		2883.1.l.b	4
		2883.1.l.c	4
		2883.1.l.d	16
2883.1.n	$\chi_{2883}(115, \cdot)$	None	0	8
2883.1.o	$\chi_{2883}(338, \cdot)$	2883.1.o.a	8	8
		2883.1.o.b	8
		2883.1.o.c	8
		2883.1.o.d	8
		2883.1.o.e	32
2883.1.r	$\chi_{2883}(61, \cdot)$	None	0	30
2883.1.t	$\chi_{2883}(32, \cdot)$	2883.1.t.a	30	30
2883.1.w	$\chi_{2883}(37, \cdot)$	None	0	60
2883.1.x	$\chi_{2883}(5, \cdot)$	None	0	60
2883.1.z	$\chi_{2883}(2, \cdot)$	2883.1.z.a	120	120
2883.1.bb	$\chi_{2883}(46, \cdot)$	None	0	120
2883.1.be	$\chi_{2883}(14, \cdot)$	None	0	240
2883.1.bf	$\chi_{2883}(13, \cdot)$	None	0	240

Decomposition of $S_{1}^{\mathrm{old}}(\Gamma_1(2883))$ into lower level spaces

$S_{1}^{\mathrm{old}}(\Gamma_1(2883)) \cong$ $S_{1}^{\mathrm{new}}(\Gamma_1(1))$$^{\oplus 6}$$\oplus$$S_{1}^{\mathrm{new}}(\Gamma_1(3))$$^{\oplus 3}$$\oplus$$S_{1}^{\mathrm{new}}(\Gamma_1(31))$$^{\oplus 4}$$\oplus$$S_{1}^{\mathrm{new}}(\Gamma_1(93))$$^{\oplus 2}$$\oplus$$S_{1}^{\mathrm{new}}(\Gamma_1(961))$$^{\oplus 2}$