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Properties

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

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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

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