Space of modular forms of level 9576 and weight 2

• Label: 9576.2
• Level: 9576
• Weight: 2
• Dimension: 1052950
• Nonzero newspaces: 276
• Sturm bound: 9953280

Defining parameters

Level:	$N$	=	$9576 = 2^{3} \cdot 3^{2} \cdot 7 \cdot 19$
Weight:	$k$	=	$2$
Nonzero newspaces:			$276$
Sturm bound:			$9953280$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(\Gamma_1(9576))$.

	Total	New	Old
Modular forms	2509056	1059070	1449986
Cusp forms	2467585	1052950	1414635
Eisenstein series	41471	6120	35351

Decomposition of $S_{2}^{\mathrm{new}}(\Gamma_1(9576))$

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
9576.2.a	$\chi_{9576}(1, \cdot)$	9576.2.a.a	1	1
		9576.2.a.b	1
		9576.2.a.c	1
		9576.2.a.d	1
		9576.2.a.e	1
		9576.2.a.f	1
		9576.2.a.g	1
		9576.2.a.h	1
		9576.2.a.i	1
		9576.2.a.j	1
		9576.2.a.k	1
		9576.2.a.l	1
		9576.2.a.m	1
		9576.2.a.n	1
		9576.2.a.o	1
		9576.2.a.p	1
		9576.2.a.q	1
		9576.2.a.r	1
		9576.2.a.s	1
		9576.2.a.t	1
		9576.2.a.u	1
		9576.2.a.v	1
		9576.2.a.w	1
		9576.2.a.x	1
		9576.2.a.y	1
		9576.2.a.z	1
		9576.2.a.ba	1
		9576.2.a.bb	1
		9576.2.a.bc	2
		9576.2.a.bd	2
		9576.2.a.be	2
		9576.2.a.bf	2
		9576.2.a.bg	2
		9576.2.a.bh	2
		9576.2.a.bi	2
		9576.2.a.bj	2
		9576.2.a.bk	2
		9576.2.a.bl	2
		9576.2.a.bm	2
		9576.2.a.bn	2
		9576.2.a.bo	2
		9576.2.a.bp	2
		9576.2.a.bq	2
		9576.2.a.br	2
		9576.2.a.bs	2
		9576.2.a.bt	2
		9576.2.a.bu	2
		9576.2.a.bv	2
		9576.2.a.bw	2
		9576.2.a.bx	2
		9576.2.a.by	2
		9576.2.a.bz	3
		9576.2.a.ca	3
		9576.2.a.cb	3
		9576.2.a.cc	3
		9576.2.a.cd	3
		9576.2.a.ce	3
		9576.2.a.cf	3
		9576.2.a.cg	4
		9576.2.a.ch	4
		9576.2.a.ci	4
		9576.2.a.cj	4
		9576.2.a.ck	4
		9576.2.a.cl	4
9576.2.a.cm	5
9576.2.a.cn	5
9576.2.a.co	5
9576.2.b	$\chi_{9576}(6497, \cdot)$	n/a	120	1
9576.2.c	$\chi_{9576}(3079, \cdot)$	None	0	1
9576.2.d	$\chi_{9576}(4787, \cdot)$	n/a	640	1
9576.2.e	$\chi_{9576}(4789, \cdot)$	n/a	540	1
9576.2.n	$\chi_{9576}(6119, \cdot)$	None	0	1
9576.2.o	$\chi_{9576}(3457, \cdot)$	n/a	200	1
9576.2.p	$\chi_{9576}(9197, \cdot)$	n/a	576	1
9576.2.q	$\chi_{9576}(379, \cdot)$	n/a	600	1
9576.2.r	$\chi_{9576}(1331, \cdot)$	n/a	432	1
9576.2.s	$\chi_{9576}(8245, \cdot)$	n/a	796	1
9576.2.t	$\chi_{9576}(4409, \cdot)$	n/a	144	1
9576.2.u	$\chi_{9576}(5167, \cdot)$	None	0	1
9576.2.bd	$\chi_{9576}(1709, \cdot)$	n/a	480	1
9576.2.be	$\chi_{9576}(7867, \cdot)$	n/a	720	1
9576.2.bf	$\chi_{9576}(9575, \cdot)$	None	0	1
9576.2.bg	$\chi_{9576}(3649, \cdot)$	n/a	864	2
9576.2.bh	$\chi_{9576}(121, \cdot)$	n/a	960	2
9576.2.bi	$\chi_{9576}(3193, \cdot)$	n/a	648	2
9576.2.bj	$\chi_{9576}(7345, \cdot)$	n/a	400	2
9576.2.bk	$\chi_{9576}(1369, \cdot)$	n/a	360	2
9576.2.bl	$\chi_{9576}(6889, \cdot)$	n/a	720	2
9576.2.bm	$\chi_{9576}(505, \cdot)$	n/a	300	2
9576.2.bn	$\chi_{9576}(961, \cdot)$	n/a	960	2
9576.2.bo	$\chi_{9576}(6505, \cdot)$	n/a	960	2
9576.2.bp	$\chi_{9576}(1873, \cdot)$	n/a	400	2
9576.2.bq	$\chi_{9576}(2857, \cdot)$	n/a	720	2
9576.2.br	$\chi_{9576}(1033, \cdot)$	n/a	960	2
9576.2.bs	$\chi_{9576}(457, \cdot)$	n/a	864	2
9576.2.bx	$\chi_{9576}(2965, \cdot)$	n/a	3456	2
9576.2.by	$\chi_{9576}(4331, \cdot)$	n/a	3824	2
9576.2.bz	$\chi_{9576}(8095, \cdot)$	None	0	2
9576.2.ca	$\chi_{9576}(569, \cdot)$	n/a	960	2
9576.2.cf	$\chi_{9576}(1171, \cdot)$	n/a	1592	2
9576.2.cg	$\chi_{9576}(8333, \cdot)$	n/a	1280	2
9576.2.ch	$\chi_{9576}(715, \cdot)$	n/a	2880	2
9576.2.ci	$\chi_{9576}(6509, \cdot)$	n/a	3824	2
9576.2.cj	$\chi_{9576}(3793, \cdot)$	n/a	960	2
9576.2.ck	$\chi_{9576}(3431, \cdot)$	None	0	2
9576.2.cl	$\chi_{9576}(145, \cdot)$	n/a	400	2
9576.2.cm	$\chi_{9576}(7991, \cdot)$	None	0	2
9576.2.cv	$\chi_{9576}(767, \cdot)$	None	0	2
9576.2.cw	$\chi_{9576}(2497, \cdot)$	n/a	960	2
9576.2.cx	$\chi_{9576}(1109, \cdot)$	n/a	3824	2
9576.2.cy	$\chi_{9576}(3523, \cdot)$	n/a	3824	2
9576.2.cz	$\chi_{9576}(6449, \cdot)$	n/a	960	2
9576.2.da	$\chi_{9576}(1375, \cdot)$	None	0	2
9576.2.db	$\chi_{9576}(635, \cdot)$	n/a	3824	2
9576.2.dc	$\chi_{9576}(5821, \cdot)$	n/a	3824	2
9576.2.dl	$\chi_{9576}(7645, \cdot)$	n/a	2880	2
9576.2.dm	$\chi_{9576}(1091, \cdot)$	n/a	3824	2
9576.2.dn	$\chi_{9576}(6661, \cdot)$	n/a	1592	2
9576.2.do	$\chi_{9576}(1475, \cdot)$	n/a	1280	2
9576.2.dp	$\chi_{9576}(2215, \cdot)$	None	0	2
9576.2.dq	$\chi_{9576}(7289, \cdot)$	n/a	320	2
9576.2.dr	$\chi_{9576}(5935, \cdot)$	None	0	2
9576.2.ds	$\chi_{9576}(2801, \cdot)$	n/a	720	2
9576.2.dx	$\chi_{9576}(835, \cdot)$	n/a	3824	2
9576.2.dy	$\chi_{9576}(1445, \cdot)$	n/a	3456	2
9576.2.dz	$\chi_{9576}(8473, \cdot)$	n/a	960	2
9576.2.ea	$\chi_{9576}(191, \cdot)$	None	0	2
9576.2.ef	$\chi_{9576}(2839, \cdot)$	None	0	2
9576.2.eg	$\chi_{9576}(425, \cdot)$	n/a	960	2
9576.2.eh	$\chi_{9576}(3181, \cdot)$	n/a	3824	2
9576.2.ei	$\chi_{9576}(1451, \cdot)$	n/a	3824	2
9576.2.er	$\chi_{9576}(4093, \cdot)$	n/a	3824	2
9576.2.es	$\chi_{9576}(2363, \cdot)$	n/a	3824	2
9576.2.et	$\chi_{9576}(881, \cdot)$	n/a	320	2
9576.2.eu	$\chi_{9576}(4663, \cdot)$	None	0	2
9576.2.ev	$\chi_{9576}(1835, \cdot)$	n/a	960	2
9576.2.ew	$\chi_{9576}(2197, \cdot)$	n/a	1592	2
9576.2.ex	$\chi_{9576}(5119, \cdot)$	None	0	2
9576.2.ey	$\chi_{9576}(2705, \cdot)$	n/a	960	2
9576.2.fl	$\chi_{9576}(1531, \cdot)$	n/a	1592	2
9576.2.fm	$\chi_{9576}(6605, \cdot)$	n/a	1280	2
9576.2.fn	$\chi_{9576}(1483, \cdot)$	n/a	3456	2
9576.2.fo	$\chi_{9576}(4901, \cdot)$	n/a	2880	2
9576.2.fp	$\chi_{9576}(5015, \cdot)$	None	0	2
9576.2.fq	$\chi_{9576}(4511, \cdot)$	None	0	2
9576.2.fr	$\chi_{9576}(5693, \cdot)$	n/a	3824	2
9576.2.fs	$\chi_{9576}(619, \cdot)$	n/a	3824	2
9576.2.ft	$\chi_{9576}(2165, \cdot)$	n/a	3824	2
9576.2.fu	$\chi_{9576}(115, \cdot)$	n/a	3456	2
9576.2.fv	$\chi_{9576}(3191, \cdot)$	None	0	2
9576.2.fw	$\chi_{9576}(2159, \cdot)$	None	0	2
9576.2.gn	$\chi_{9576}(2735, \cdot)$	None	0	2
9576.2.go	$\chi_{9576}(335, \cdot)$	None	0	2
9576.2.gp	$\chi_{9576}(5179, \cdot)$	n/a	3824	2
9576.2.gq	$\chi_{9576}(2045, \cdot)$	n/a	2880	2
9576.2.gr	$\chi_{9576}(1027, \cdot)$	n/a	1440	2
9576.2.gs	$\chi_{9576}(3077, \cdot)$	n/a	1280	2
9576.2.gt	$\chi_{9576}(1471, \cdot)$	None	0	2
9576.2.gu	$\chi_{9576}(7265, \cdot)$	n/a	960	2
9576.2.gv	$\chi_{9576}(2431, \cdot)$	None	0	2
9576.2.gw	$\chi_{9576}(3041, \cdot)$	n/a	288	2
9576.2.gx	$\chi_{9576}(1405, \cdot)$	n/a	1592	2
9576.2.gy	$\chi_{9576}(2699, \cdot)$	n/a	1152	2
9576.2.gz	$\chi_{9576}(4549, \cdot)$	n/a	3824	2
9576.2.ha	$\chi_{9576}(4187, \cdot)$	n/a	2880	2
9576.2.hr	$\chi_{9576}(1861, \cdot)$	n/a	3824	2
9576.2.hs	$\chi_{9576}(4523, \cdot)$	n/a	2592	2
9576.2.ht	$\chi_{9576}(829, \cdot)$	n/a	1592	2
9576.2.hu	$\chi_{9576}(8675, \cdot)$	n/a	1280	2
9576.2.hv	$\chi_{9576}(353, \cdot)$	n/a	960	2
9576.2.hw	$\chi_{9576}(2767, \cdot)$	None	0	2
9576.2.hx	$\chi_{9576}(761, \cdot)$	n/a	864	2
9576.2.hy	$\chi_{9576}(151, \cdot)$	None	0	2
9576.2.hz	$\chi_{9576}(1787, \cdot)$	n/a	3456	2
9576.2.ia	$\chi_{9576}(493, \cdot)$	n/a	3824	2
9576.2.ib	$\chi_{9576}(11, \cdot)$	n/a	3824	2
9576.2.ic	$\chi_{9576}(1741, \cdot)$	n/a	3824	2
9576.2.id	$\chi_{9576}(487, \cdot)$	None	0	2
9576.2.ie	$\chi_{9576}(7649, \cdot)$	n/a	320	2
9576.2.if	$\chi_{9576}(1975, \cdot)$	None	0	2
9576.2.ig	$\chi_{9576}(1217, \cdot)$	n/a	864	2
9576.2.it	$\chi_{9576}(4723, \cdot)$	n/a	3824	2
9576.2.iu	$\chi_{9576}(221, \cdot)$	n/a	3824	2
9576.2.iv	$\chi_{9576}(3527, \cdot)$	None	0	2
9576.2.iw	$\chi_{9576}(1205, \cdot)$	n/a	960	2
9576.2.ix	$\chi_{9576}(4339, \cdot)$	n/a	1592	2
9576.2.iy	$\chi_{9576}(5351, \cdot)$	None	0	2
9576.2.jh	$\chi_{9576}(1319, \cdot)$	None	0	2
9576.2.ji	$\chi_{9576}(691, \cdot)$	n/a	3824	2
9576.2.jj	$\chi_{9576}(5765, \cdot)$	n/a	3824	2
9576.2.jk	$\chi_{9576}(1717, \cdot)$	n/a	3824	2
9576.2.jl	$\chi_{9576}(6107, \cdot)$	n/a	3824	2
9576.2.jm	$\chi_{9576}(5479, \cdot)$	None	0	2
9576.2.jn	$\chi_{9576}(977, \cdot)$	n/a	960	2
9576.2.jw	$\chi_{9576}(4567, \cdot)$	None	0	2
9576.2.jx	$\chi_{9576}(65, \cdot)$	n/a	960	2
9576.2.jy	$\chi_{9576}(4283, \cdot)$	n/a	1280	2
9576.2.jz	$\chi_{9576}(1261, \cdot)$	n/a	1200	2
9576.2.ka	$\chi_{9576}(449, \cdot)$	n/a	240	2
9576.2.kb	$\chi_{9576}(3583, \cdot)$	None	0	2
9576.2.kc	$\chi_{9576}(5749, \cdot)$	n/a	3824	2
9576.2.kd	$\chi_{9576}(563, \cdot)$	n/a	3824	2
9576.2.kq	$\chi_{9576}(265, \cdot)$	n/a	960	2
9576.2.kr	$\chi_{9576}(2927, \cdot)$	None	0	2
9576.2.ks	$\chi_{9576}(5617, \cdot)$	n/a	400	2
9576.2.kt	$\chi_{9576}(3887, \cdot)$	None	0	2
9576.2.ku	$\chi_{9576}(2021, \cdot)$	n/a	3824	2
9576.2.kv	$\chi_{9576}(4435, \cdot)$	n/a	3824	2
9576.2.kw	$\chi_{9576}(4637, \cdot)$	n/a	3456	2
9576.2.kx	$\chi_{9576}(4027, \cdot)$	n/a	3824	2
9576.2.ky	$\chi_{9576}(4295, \cdot)$	None	0	2
9576.2.kz	$\chi_{9576}(3001, \cdot)$	n/a	960	2
9576.2.la	$\chi_{9576}(3047, \cdot)$	None	0	2
9576.2.lb	$\chi_{9576}(4777, \cdot)$	n/a	960	2
9576.2.lc	$\chi_{9576}(5275, \cdot)$	n/a	1592	2
9576.2.ld	$\chi_{9576}(2861, \cdot)$	n/a	1280	2
9576.2.le	$\chi_{9576}(3571, \cdot)$	n/a	2880	2
9576.2.lf	$\chi_{9576}(2813, \cdot)$	n/a	3456	2
9576.2.lw	$\chi_{9576}(6259, \cdot)$	n/a	2880	2
9576.2.lx	$\chi_{9576}(2477, \cdot)$	n/a	3824	2
9576.2.ly	$\chi_{9576}(1747, \cdot)$	n/a	1592	2
9576.2.lz	$\chi_{9576}(2357, \cdot)$	n/a	1152	2
9576.2.ma	$\chi_{9576}(2089, \cdot)$	n/a	400	2
9576.2.mb	$\chi_{9576}(3383, \cdot)$	None	0	2
9576.2.mc	$\chi_{9576}(601, \cdot)$	n/a	960	2
9576.2.md	$\chi_{9576}(239, \cdot)$	None	0	2
9576.2.me	$\chi_{9576}(2053, \cdot)$	n/a	1440	2
9576.2.mf	$\chi_{9576}(3419, \cdot)$	n/a	1280	2
9576.2.mg	$\chi_{9576}(2101, \cdot)$	n/a	2880	2
9576.2.mh	$\chi_{9576}(5123, \cdot)$	n/a	3824	2
9576.2.mi	$\chi_{9576}(391, \cdot)$	None	0	2
9576.2.mj	$\chi_{9576}(6833, \cdot)$	n/a	720	2
9576.2.mk	$\chi_{9576}(1711, \cdot)$	None	0	2
9576.2.ml	$\chi_{9576}(3761, \cdot)$	n/a	320	2
9576.2.nc	$\chi_{9576}(6319, \cdot)$	None	0	2
9576.2.nd	$\chi_{9576}(1817, \cdot)$	n/a	320	2
9576.2.ne	$\chi_{9576}(6271, \cdot)$	None	0	2
9576.2.nf	$\chi_{9576}(113, \cdot)$	n/a	720	2
9576.2.ng	$\chi_{9576}(227, \cdot)$	n/a	3824	2
9576.2.nh	$\chi_{9576}(8437, \cdot)$	n/a	3456	2
9576.2.ni	$\chi_{9576}(4667, \cdot)$	n/a	3824	2
9576.2.nj	$\chi_{9576}(277, \cdot)$	n/a	3824	2
9576.2.nk	$\chi_{9576}(905, \cdot)$	n/a	960	2
9576.2.nl	$\chi_{9576}(5407, \cdot)$	None	0	2
9576.2.nm	$\chi_{9576}(4673, \cdot)$	n/a	960	2
9576.2.nn	$\chi_{9576}(2623, \cdot)$	None	0	2
9576.2.no	$\chi_{9576}(1597, \cdot)$	n/a	2592	2
9576.2.np	$\chi_{9576}(1595, \cdot)$	n/a	3824	2
9576.2.nq	$\chi_{9576}(2557, \cdot)$	n/a	1592	2
9576.2.nr	$\chi_{9576}(6947, \cdot)$	n/a	1280	2
9576.2.oe	$\chi_{9576}(2425, \cdot)$	n/a	960	2
9576.2.of	$\chi_{9576}(695, \cdot)$	None	0	2
9576.2.og	$\chi_{9576}(125, \cdot)$	n/a	1280	2
9576.2.oh	$\chi_{9576}(3907, \cdot)$	n/a	1200	2
9576.2.oi	$\chi_{9576}(2591, \cdot)$	None	0	2
9576.2.oj	$\chi_{9576}(2953, \cdot)$	n/a	400	2
9576.2.ok	$\chi_{9576}(331, \cdot)$	n/a	3824	2
9576.2.ol	$\chi_{9576}(7493, \cdot)$	n/a	3824	2
9576.2.ou	$\chi_{9576}(4363, \cdot)$	n/a	3824	2
9576.2.ov	$\chi_{9576}(1949, \cdot)$	n/a	3824	2
9576.2.ow	$\chi_{9576}(3337, \cdot)$	n/a	960	2
9576.2.ox	$\chi_{9576}(1607, \cdot)$	None	0	2
9576.2.pc	$\chi_{9576}(3343, \cdot)$	None	0	2
9576.2.pd	$\chi_{9576}(3953, \cdot)$	n/a	864	2
9576.2.pe	$\chi_{9576}(3685, \cdot)$	n/a	3824	2
9576.2.pf	$\chi_{9576}(4979, \cdot)$	n/a	3456	2
9576.2.pk	$\chi_{9576}(6263, \cdot)$	None	0	2
9576.2.pl	$\chi_{9576}(5879, \cdot)$	None	0	2
9576.2.pm	$\chi_{9576}(1147, \cdot)$	n/a	3824	2
9576.2.pn	$\chi_{9576}(7589, \cdot)$	n/a	2880	2
9576.2.po	$\chi_{9576}(7003, \cdot)$	n/a	1592	2
9576.2.pp	$\chi_{9576}(2501, \cdot)$	n/a	1280	2
9576.2.py	$\chi_{9576}(1661, \cdot)$	n/a	3824	2
9576.2.pz	$\chi_{9576}(6163, \cdot)$	n/a	3824	2
9576.2.qa	$\chi_{9576}(5423, \cdot)$	None	0	2
9576.2.qb	$\chi_{9576}(2291, \cdot)$	n/a	3824	2
9576.2.qc	$\chi_{9576}(4021, \cdot)$	n/a	3824	2
9576.2.qd	$\chi_{9576}(1265, \cdot)$	n/a	960	2
9576.2.qe	$\chi_{9576}(3679, \cdot)$	None	0	2
9576.2.qn	$\chi_{9576}(5503, \cdot)$	None	0	2
9576.2.qo	$\chi_{9576}(1721, \cdot)$	n/a	960	2
9576.2.qp	$\chi_{9576}(5959, \cdot)$	None	0	2
9576.2.qq	$\chi_{9576}(3545, \cdot)$	n/a	320	2
9576.2.qr	$\chi_{9576}(4933, \cdot)$	n/a	1592	2
9576.2.qs	$\chi_{9576}(3203, \cdot)$	n/a	1280	2
9576.2.qt	$\chi_{9576}(1357, \cdot)$	n/a	3824	2
9576.2.qu	$\chi_{9576}(995, \cdot)$	n/a	2880	2
9576.2.qz	$\chi_{9576}(1823, \cdot)$	None	0	2
9576.2.ra	$\chi_{9576}(3307, \cdot)$	n/a	3456	2
9576.2.rb	$\chi_{9576}(5357, \cdot)$	n/a	3824	2
9576.2.rg	$\chi_{9576}(2209, \cdot)$	n/a	2880	6
9576.2.rh	$\chi_{9576}(25, \cdot)$	n/a	2880	6
9576.2.ri	$\chi_{9576}(3025, \cdot)$	n/a	900	6
9576.2.rj	$\chi_{9576}(169, \cdot)$	n/a	2160	6
9576.2.rk	$\chi_{9576}(289, \cdot)$	n/a	1200	6
9576.2.rl	$\chi_{9576}(1201, \cdot)$	n/a	2880	6
9576.2.rm	$\chi_{9576}(1297, \cdot)$	n/a	1200	6
9576.2.rn	$\chi_{9576}(529, \cdot)$	n/a	2880	6
9576.2.ro	$\chi_{9576}(841, \cdot)$	n/a	2160	6
9576.2.rq	$\chi_{9576}(491, \cdot)$	n/a	8640	6
9576.2.rs	$\chi_{9576}(281, \cdot)$	n/a	2160	6
9576.2.rt	$\chi_{9576}(2057, \cdot)$	n/a	2880	6
9576.2.rv	$\chi_{9576}(1427, \cdot)$	n/a	11472	6
9576.2.ry	$\chi_{9576}(199, \cdot)$	None	0	6
9576.2.sa	$\chi_{9576}(871, \cdot)$	None	0	6
9576.2.sc	$\chi_{9576}(1837, \cdot)$	n/a	4776	6
9576.2.se	$\chi_{9576}(2749, \cdot)$	n/a	11472	6
9576.2.sf	$\chi_{9576}(1885, \cdot)$	n/a	11472	6
9576.2.sh	$\chi_{9576}(1621, \cdot)$	n/a	4776	6
9576.2.sj	$\chi_{9576}(751, \cdot)$	None	0	6
9576.2.sl	$\chi_{9576}(1495, \cdot)$	None	0	6
9576.2.so	$\chi_{9576}(395, \cdot)$	n/a	3840	6
9576.2.sq	$\chi_{9576}(2651, \cdot)$	n/a	11472	6
9576.2.ss	$\chi_{9576}(1529, \cdot)$	n/a	960	6
9576.2.su	$\chi_{9576}(3785, \cdot)$	n/a	2880	6
9576.2.sv	$\chi_{9576}(641, \cdot)$	n/a	2880	6
9576.2.sx	$\chi_{9576}(2825, \cdot)$	n/a	960	6
9576.2.sz	$\chi_{9576}(275, \cdot)$	n/a	11472	6
9576.2.tb	$\chi_{9576}(1187, \cdot)$	n/a	3840	6
9576.2.te	$\chi_{9576}(295, \cdot)$	None	0	6
9576.2.tg	$\chi_{9576}(1429, \cdot)$	n/a	8640	6
9576.2.th	$\chi_{9576}(1021, \cdot)$	n/a	11472	6
9576.2.tj	$\chi_{9576}(1735, \cdot)$	None	0	6
9576.2.tm	$\chi_{9576}(1871, \cdot)$	None	0	6
9576.2.to	$\chi_{9576}(4127, \cdot)$	None	0	6
9576.2.tq	$\chi_{9576}(485, \cdot)$	n/a	3840	6
9576.2.ts	$\chi_{9576}(1229, \cdot)$	n/a	11472	6
9576.2.tt	$\chi_{9576}(3197, \cdot)$	n/a	11472	6
9576.2.tv	$\chi_{9576}(845, \cdot)$	n/a	3840	6
9576.2.tx	$\chi_{9576}(2567, \cdot)$	None	0	6
9576.2.tz	$\chi_{9576}(1655, \cdot)$	None	0	6
9576.2.ub	$\chi_{9576}(139, \cdot)$	n/a	11472	6
9576.2.ud	$\chi_{9576}(1315, \cdot)$	n/a	4776	6
9576.2.uf	$\chi_{9576}(97, \cdot)$	n/a	2880	6
9576.2.uh	$\chi_{9576}(433, \cdot)$	n/a	1200	6
9576.2.ul	$\chi_{9576}(1579, \cdot)$	n/a	11472	6
9576.2.um	$\chi_{9576}(1915, \cdot)$	n/a	11472	6
9576.2.ur	$\chi_{9576}(283, \cdot)$	n/a	11472	6
9576.2.us	$\chi_{9576}(1867, \cdot)$	n/a	11472	6
9576.2.uv	$\chi_{9576}(1321, \cdot)$	n/a	2880	6
9576.2.uw	$\chi_{9576}(241, \cdot)$	n/a	2880	6
9576.2.va	$\chi_{9576}(1891, \cdot)$	n/a	3600	6
9576.2.vc	$\chi_{9576}(1723, \cdot)$	n/a	8640	6
9576.2.vd	$\chi_{9576}(167, \cdot)$	None	0	6
9576.2.vf	$\chi_{9576}(1511, \cdot)$	None	0	6
9576.2.vh	$\chi_{9576}(461, \cdot)$	n/a	11472	6
9576.2.vj	$\chi_{9576}(2645, \cdot)$	n/a	3840	6
9576.2.vl	$\chi_{9576}(1397, \cdot)$	n/a	11472	6
9576.2.vm	$\chi_{9576}(317, \cdot)$	n/a	11472	6
9576.2.vp	$\chi_{9576}(1031, \cdot)$	None	0	6
9576.2.vq	$\chi_{9576}(3215, \cdot)$	None	0	6
9576.2.vv	$\chi_{9576}(383, \cdot)$	None	0	6
9576.2.vw	$\chi_{9576}(1055, \cdot)$	None	0	6
9576.2.vz	$\chi_{9576}(5, \cdot)$	n/a	11472	6
9576.2.wa	$\chi_{9576}(2189, \cdot)$	n/a	11472	6
9576.2.wc	$\chi_{9576}(3221, \cdot)$	n/a	2880	6
9576.2.we	$\chi_{9576}(1541, \cdot)$	n/a	8640	6
9576.2.wg	$\chi_{9576}(575, \cdot)$	None	0	6
9576.2.wi	$\chi_{9576}(2759, \cdot)$	None	0	6
9576.2.wk	$\chi_{9576}(2179, \cdot)$	n/a	4776	6
9576.2.wm	$\chi_{9576}(67, \cdot)$	n/a	11472	6
9576.2.wp	$\chi_{9576}(409, \cdot)$	n/a	2880	6
9576.2.wr	$\chi_{9576}(1153, \cdot)$	n/a	1200	6
9576.2.wt	$\chi_{9576}(187, \cdot)$	n/a	11472	6
9576.2.wv	$\chi_{9576}(955, \cdot)$	n/a	4776	6
9576.2.wy	$\chi_{9576}(17, \cdot)$	n/a	960	6
9576.2.xa	$\chi_{9576}(929, \cdot)$	n/a	2880	6
9576.2.xc	$\chi_{9576}(2483, \cdot)$	n/a	3840	6
9576.2.xe	$\chi_{9576}(299, \cdot)$	n/a	11472	6
9576.2.xf	$\chi_{9576}(947, \cdot)$	n/a	11472	6
9576.2.xh	$\chi_{9576}(1619, \cdot)$	n/a	3840	6
9576.2.xj	$\chi_{9576}(2993, \cdot)$	n/a	2880	6
9576.2.xl	$\chi_{9576}(737, \cdot)$	n/a	960	6
9576.2.xn	$\chi_{9576}(85, \cdot)$	n/a	8640	6
9576.2.xp	$\chi_{9576}(253, \cdot)$	n/a	3600	6
9576.2.xr	$\chi_{9576}(1807, \cdot)$	None	0	6
9576.2.xt	$\chi_{9576}(127, \cdot)$	None	0	6
9576.2.xv	$\chi_{9576}(2455, \cdot)$	None	0	6
9576.2.xw	$\chi_{9576}(367, \cdot)$	None	0	6
9576.2.xz	$\chi_{9576}(1573, \cdot)$	n/a	11472	6
9576.2.ya	$\chi_{9576}(1237, \cdot)$	n/a	11472	6
9576.2.yf	$\chi_{9576}(709, \cdot)$	n/a	11472	6
9576.2.yg	$\chi_{9576}(2797, \cdot)$	n/a	11472	6
9576.2.yj	$\chi_{9576}(583, \cdot)$	None	0	6
9576.2.yk	$\chi_{9576}(1663, \cdot)$	None	0	6
9576.2.ym	$\chi_{9576}(55, \cdot)$	None	0	6
9576.2.yo	$\chi_{9576}(727, \cdot)$	None	0	6
9576.2.yq	$\chi_{9576}(181, \cdot)$	n/a	4776	6
9576.2.ys	$\chi_{9576}(13, \cdot)$	n/a	11472	6
9576.2.yt	$\chi_{9576}(1625, \cdot)$	n/a	2160	6
9576.2.yv	$\chi_{9576}(953, \cdot)$	n/a	720	6
9576.2.yx	$\chi_{9576}(2171, \cdot)$	n/a	8640	6
9576.2.yz	$\chi_{9576}(4355, \cdot)$	n/a	2880	6
9576.2.zb	$\chi_{9576}(1739, \cdot)$	n/a	11472	6
9576.2.zc	$\chi_{9576}(59, \cdot)$	n/a	11472	6
9576.2.zf	$\chi_{9576}(2873, \cdot)$	n/a	2880	6
9576.2.zg	$\chi_{9576}(689, \cdot)$	n/a	2880	6
9576.2.zl	$\chi_{9576}(401, \cdot)$	n/a	2880	6
9576.2.zm	$\chi_{9576}(2081, \cdot)$	n/a	2880	6
9576.2.zp	$\chi_{9576}(2531, \cdot)$	n/a	11472	6
9576.2.zq	$\chi_{9576}(347, \cdot)$	n/a	11472	6
9576.2.zs	$\chi_{9576}(755, \cdot)$	n/a	3840	6
9576.2.zu	$\chi_{9576}(2939, \cdot)$	n/a	11472	6
9576.2.zw	$\chi_{9576}(377, \cdot)$	n/a	960	6
9576.2.zy	$\chi_{9576}(1049, \cdot)$	n/a	2880	6
9576.2.baa	$\chi_{9576}(325, \cdot)$	n/a	4776	6
9576.2.bac	$\chi_{9576}(565, \cdot)$	n/a	11472	6
9576.2.bae	$\chi_{9576}(1279, \cdot)$	None	0	6
9576.2.bag	$\chi_{9576}(1543, \cdot)$	None	0	6
9576.2.bah	$\chi_{9576}(79, \cdot)$	None	0	6
9576.2.baj	$\chi_{9576}(991, \cdot)$	None	0	6
9576.2.bal	$\chi_{9576}(1213, \cdot)$	n/a	11472	6
9576.2.ban	$\chi_{9576}(541, \cdot)$	n/a	4776	6
9576.2.baq	$\chi_{9576}(1469, \cdot)$	n/a	11472	6
9576.2.bas	$\chi_{9576}(1343, \cdot)$	None	0	6
9576.2.bat	$\chi_{9576}(1415, \cdot)$	None	0	6
9576.2.bav	$\chi_{9576}(29, \cdot)$	n/a	8640	6
9576.2.bba	$\chi_{9576}(667, \cdot)$	n/a	4776	6
9576.2.bbc	$\chi_{9576}(907, \cdot)$	n/a	11472	6
9576.2.bbd	$\chi_{9576}(859, \cdot)$	n/a	11472	6
9576.2.bbf	$\chi_{9576}(1963, \cdot)$	n/a	4776	6
9576.2.bbh	$\chi_{9576}(1249, \cdot)$	n/a	2880	6
9576.2.bbj	$\chi_{9576}(649, \cdot)$	n/a	1200	6
9576.2.bbm	$\chi_{9576}(53, \cdot)$	n/a	3840	6
9576.2.bbo	$\chi_{9576}(2909, \cdot)$	n/a	11472	6
9576.2.bbq	$\chi_{9576}(359, \cdot)$	None	0	6
9576.2.bbs	$\chi_{9576}(23, \cdot)$	None	0	6
9576.2.bbt	$\chi_{9576}(887, \cdot)$	None	0	6
9576.2.bbv	$\chi_{9576}(143, \cdot)$	None	0	6
9576.2.bbx	$\chi_{9576}(605, \cdot)$	n/a	11472	6
9576.2.bbz	$\chi_{9576}(1277, \cdot)$	n/a	3840	6
9576.2.bcc	$\chi_{9576}(1609, \cdot)$	n/a	2880	6
9576.2.bce	$\chi_{9576}(643, \cdot)$	n/a	11472	6
9576.2.bcf	$\chi_{9576}(211, \cdot)$	n/a	8640	6

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

Decomposition of $S_{2}^{\mathrm{old}}(\Gamma_1(9576))$ into lower level spaces

$S_{2}^{\mathrm{old}}(\Gamma_1(9576)) \cong$ $S_{2}^{\mathrm{new}}(\Gamma_1(1))$$^{\oplus 48}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(2))$$^{\oplus 36}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(3))$$^{\oplus 32}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(4))$$^{\oplus 24}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(6))$$^{\oplus 24}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(7))$$^{\oplus 24}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(8))$$^{\oplus 12}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(9))$$^{\oplus 16}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(12))$$^{\oplus 16}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(14))$$^{\oplus 18}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(18))$$^{\oplus 12}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(19))$$^{\oplus 24}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(21))$$^{\oplus 16}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(24))$$^{\oplus 8}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(28))$$^{\oplus 12}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(36))$$^{\oplus 8}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(38))$$^{\oplus 18}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(42))$$^{\oplus 12}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(56))$$^{\oplus 6}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(57))$$^{\oplus 16}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(63))$$^{\oplus 8}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(72))$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(76))$$^{\oplus 12}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(84))$$^{\oplus 8}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(114))$$^{\oplus 12}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(126))$$^{\oplus 6}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(133))$$^{\oplus 12}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(152))$$^{\oplus 6}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(168))$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(171))$$^{\oplus 8}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(228))$$^{\oplus 8}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(252))$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(266))$$^{\oplus 9}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(342))$$^{\oplus 6}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(399))$$^{\oplus 8}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(456))$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(504))$$^{\oplus 2}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(532))$$^{\oplus 6}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(684))$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(798))$$^{\oplus 6}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(1064))$$^{\oplus 3}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(1197))$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(1368))$$^{\oplus 2}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(1596))$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(2394))$$^{\oplus 3}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(3192))$$^{\oplus 2}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_1(4788))$$^{\oplus 2}$