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Properties

Label 22848.2
Level 22848
Weight 2
Dimension 5676792
Nonzero newspaces 272
Sturm bound 56623104

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Defining parameters

Level: \( N \) = \( 22848 = 2^{6} \cdot 3 \cdot 7 \cdot 17 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 272 \)
Sturm bound: \(56623104\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(22848))\).

Total New Old
Modular forms 14211072 5689992 8521080
Cusp forms 14100481 5676792 8423689
Eisenstein series 110591 13200 97391

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(22848))\)

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
22848.2.a \(\chi_{22848}(1, \cdot)\) 22848.2.a.a 1 1
22848.2.a.b 1
22848.2.a.c 1
22848.2.a.d 1
22848.2.a.e 1
22848.2.a.f 1
22848.2.a.g 1
22848.2.a.h 1
22848.2.a.i 1
22848.2.a.j 1
22848.2.a.k 1
22848.2.a.l 1
22848.2.a.m 1
22848.2.a.n 1
22848.2.a.o 1
22848.2.a.p 1
22848.2.a.q 1
22848.2.a.r 1
22848.2.a.s 1
22848.2.a.t 1
22848.2.a.u 1
22848.2.a.v 1
22848.2.a.w 1
22848.2.a.x 1
22848.2.a.y 1
22848.2.a.z 1
22848.2.a.ba 1
22848.2.a.bb 1
22848.2.a.bc 1
22848.2.a.bd 1
22848.2.a.be 1
22848.2.a.bf 1
22848.2.a.bg 1
22848.2.a.bh 1
22848.2.a.bi 1
22848.2.a.bj 1
22848.2.a.bk 1
22848.2.a.bl 1
22848.2.a.bm 1
22848.2.a.bn 1
22848.2.a.bo 1
22848.2.a.bp 1
22848.2.a.bq 1
22848.2.a.br 1
22848.2.a.bs 1
22848.2.a.bt 1
22848.2.a.bu 1
22848.2.a.bv 1
22848.2.a.bw 1
22848.2.a.bx 1
22848.2.a.by 1
22848.2.a.bz 1
22848.2.a.ca 1
22848.2.a.cb 1
22848.2.a.cc 1
22848.2.a.cd 1
22848.2.a.ce 1
22848.2.a.cf 1
22848.2.a.cg 1
22848.2.a.ch 1
22848.2.a.ci 1
22848.2.a.cj 1
22848.2.a.ck 1
22848.2.a.cl 1
22848.2.a.cm 1
22848.2.a.cn 1
22848.2.a.co 1
22848.2.a.cp 1
22848.2.a.cq 1
22848.2.a.cr 1
22848.2.a.cs 1
22848.2.a.ct 1
22848.2.a.cu 1
22848.2.a.cv 1
22848.2.a.cw 1
22848.2.a.cx 1
22848.2.a.cy 1
22848.2.a.cz 1
22848.2.a.da 2
22848.2.a.db 2
22848.2.a.dc 2
22848.2.a.dd 2
22848.2.a.de 2
22848.2.a.df 2
22848.2.a.dg 2
22848.2.a.dh 2
22848.2.a.di 2
22848.2.a.dj 2
22848.2.a.dk 2
22848.2.a.dl 2
22848.2.a.dm 2
22848.2.a.dn 2
22848.2.a.do 2
22848.2.a.dp 2
22848.2.a.dq 2
22848.2.a.dr 2
22848.2.a.ds 2
22848.2.a.dt 2
22848.2.a.du 2
22848.2.a.dv 2
22848.2.a.dw 2
22848.2.a.dx 2
22848.2.a.dy 2
22848.2.a.dz 2
22848.2.a.ea 2
22848.2.a.eb 2
22848.2.a.ec 2
22848.2.a.ed 2
22848.2.a.ee 2
22848.2.a.ef 2
22848.2.a.eg 2
22848.2.a.eh 2
22848.2.a.ei 3
22848.2.a.ej 3
22848.2.a.ek 3
22848.2.a.el 3
22848.2.a.em 3
22848.2.a.en 3
22848.2.a.eo 3
22848.2.a.ep 3
22848.2.a.eq 3
22848.2.a.er 3
22848.2.a.es 3
22848.2.a.et 3
22848.2.a.eu 3
22848.2.a.ev 3
22848.2.a.ew 3
22848.2.a.ex 3
22848.2.a.ey 4
22848.2.a.ez 4
22848.2.a.fa 4
22848.2.a.fb 4
22848.2.a.fc 4
22848.2.a.fd 4
22848.2.a.fe 4
22848.2.a.ff 4
22848.2.a.fg 4
22848.2.a.fh 4
22848.2.a.fi 4
22848.2.a.fj 4
22848.2.a.fk 4
22848.2.a.fl 4
22848.2.a.fm 4
22848.2.a.fn 4
22848.2.a.fo 5
22848.2.a.fp 5
22848.2.a.fq 5
22848.2.a.fr 5
22848.2.a.fs 5
22848.2.a.ft 5
22848.2.a.fu 6
22848.2.a.fv 6
22848.2.a.fw 6
22848.2.a.fx 6
22848.2.a.fy 6
22848.2.a.fz 6
22848.2.a.ga 7
22848.2.a.gb 7
22848.2.a.gc 7
22848.2.a.gd 7
22848.2.a.ge 8
22848.2.a.gf 8
22848.2.a.gg 8
22848.2.a.gh 8
22848.2.c \(\chi_{22848}(11425, \cdot)\) n/a 384 1
22848.2.e \(\chi_{22848}(10303, \cdot)\) n/a 512 1
22848.2.f \(\chi_{22848}(19039, \cdot)\) n/a 576 1
22848.2.h \(\chi_{22848}(20161, \cdot)\) n/a 432 1
22848.2.k \(\chi_{22848}(9281, \cdot)\) n/a 1144 1
22848.2.m \(\chi_{22848}(14687, \cdot)\) n/a 864 1
22848.2.n \(\chi_{22848}(5951, \cdot)\) n/a 768 1
22848.2.p \(\chi_{22848}(545, \cdot)\) n/a 1024 1
22848.2.r \(\chi_{22848}(11969, \cdot)\) n/a 1024 1
22848.2.t \(\chi_{22848}(17375, \cdot)\) n/a 768 1
22848.2.w \(\chi_{22848}(3263, \cdot)\) n/a 864 1
22848.2.y \(\chi_{22848}(20705, \cdot)\) n/a 1152 1
22848.2.z \(\chi_{22848}(8737, \cdot)\) n/a 432 1
22848.2.bb \(\chi_{22848}(7615, \cdot)\) n/a 576 1
22848.2.be \(\chi_{22848}(21727, \cdot)\) n/a 512 1
22848.2.bg \(\chi_{22848}(13057, \cdot)\) n/a 1024 2
22848.2.bh \(\chi_{22848}(21713, \cdot)\) n/a 2288 2
22848.2.bk \(\chi_{22848}(15695, \cdot)\) n/a 1728 2
22848.2.bm \(\chi_{22848}(20047, \cdot)\) n/a 1152 2
22848.2.bn \(\chi_{22848}(9745, \cdot)\) n/a 864 2
22848.2.bq \(\chi_{22848}(10655, \cdot)\) n/a 1728 2
22848.2.bs \(\chi_{22848}(3583, \cdot)\) n/a 1152 2
22848.2.bu \(\chi_{22848}(5249, \cdot)\) n/a 2288 2
22848.2.bw \(\chi_{22848}(4705, \cdot)\) n/a 864 2
22848.2.by \(\chi_{22848}(1903, \cdot)\) n/a 1152 2
22848.2.ca \(\chi_{22848}(239, \cdot)\) n/a 1536 2
22848.2.cc \(\chi_{22848}(5713, \cdot)\) n/a 768 2
22848.2.ce \(\chi_{22848}(3569, \cdot)\) n/a 2288 2
22848.2.cg \(\chi_{22848}(6257, \cdot)\) n/a 2048 2
22848.2.ci \(\chi_{22848}(3025, \cdot)\) n/a 864 2
22848.2.ck \(\chi_{22848}(8975, \cdot)\) n/a 1728 2
22848.2.cm \(\chi_{22848}(4591, \cdot)\) n/a 1024 2
22848.2.co \(\chi_{22848}(4033, \cdot)\) n/a 864 2
22848.2.cq \(\chi_{22848}(4577, \cdot)\) n/a 2304 2
22848.2.cs \(\chi_{22848}(2911, \cdot)\) n/a 1152 2
22848.2.cu \(\chi_{22848}(9983, \cdot)\) n/a 1728 2
22848.2.cw \(\chi_{22848}(21169, \cdot)\) n/a 864 2
22848.2.cx \(\chi_{22848}(8623, \cdot)\) n/a 1152 2
22848.2.cz \(\chi_{22848}(4271, \cdot)\) n/a 1728 2
22848.2.dc \(\chi_{22848}(10289, \cdot)\) n/a 2288 2
22848.2.de \(\chi_{22848}(14143, \cdot)\) n/a 1152 2
22848.2.dg \(\chi_{22848}(2209, \cdot)\) n/a 1152 2
22848.2.di \(\chi_{22848}(5407, \cdot)\) n/a 1024 2
22848.2.dl \(\chi_{22848}(7583, \cdot)\) n/a 2048 2
22848.2.dn \(\chi_{22848}(18497, \cdot)\) n/a 2048 2
22848.2.do \(\chi_{22848}(4385, \cdot)\) n/a 2304 2
22848.2.dq \(\chi_{22848}(16319, \cdot)\) n/a 2288 2
22848.2.ds \(\chi_{22848}(4895, \cdot)\) n/a 2304 2
22848.2.du \(\chi_{22848}(15809, \cdot)\) n/a 2288 2
22848.2.dx \(\chi_{22848}(7073, \cdot)\) n/a 2048 2
22848.2.dz \(\chi_{22848}(19007, \cdot)\) n/a 2048 2
22848.2.ea \(\chi_{22848}(16831, \cdot)\) n/a 1024 2
22848.2.ec \(\chi_{22848}(1633, \cdot)\) n/a 1024 2
22848.2.ef \(\chi_{22848}(10369, \cdot)\) n/a 1152 2
22848.2.eh \(\chi_{22848}(2719, \cdot)\) n/a 1152 2
22848.2.ey \(\chi_{22848}(1345, \cdot)\) n/a 1728 4
22848.2.ez \(\chi_{22848}(223, \cdot)\) n/a 2304 4
22848.2.fa \(\chi_{22848}(1889, \cdot)\) n/a 4608 4
22848.2.fb \(\chi_{22848}(1919, \cdot)\) n/a 3456 4
22848.2.fg \(\chi_{22848}(7631, \cdot)\) n/a 3456 4
22848.2.fh \(\chi_{22848}(1681, \cdot)\) n/a 1728 4
22848.2.fk \(\chi_{22848}(2225, \cdot)\) n/a 4576 4
22848.2.fl \(\chi_{22848}(559, \cdot)\) n/a 2304 4
22848.2.gu \(\chi_{22848}(13649, \cdot)\) n/a 4576 4
22848.2.gv \(\chi_{22848}(11983, \cdot)\) n/a 2304 4
22848.2.gy \(\chi_{22848}(1583, \cdot)\) n/a 3456 4
22848.2.gz \(\chi_{22848}(13105, \cdot)\) n/a 1728 4
22848.2.hc \(\chi_{22848}(7393, \cdot)\) n/a 1728 4
22848.2.hd \(\chi_{22848}(6271, \cdot)\) n/a 2304 4
22848.2.he \(\chi_{22848}(7937, \cdot)\) n/a 4576 4
22848.2.hf \(\chi_{22848}(3935, \cdot)\) n/a 3456 4
22848.2.ib \(\chi_{22848}(17327, \cdot)\) n/a 4576 4
22848.2.ic \(\chi_{22848}(16817, \cdot)\) n/a 4576 4
22848.2.ie \(\chi_{22848}(11377, \cdot)\) n/a 2304 4
22848.2.ih \(\chi_{22848}(15151, \cdot)\) n/a 2304 4
22848.2.ii \(\chi_{22848}(2945, \cdot)\) n/a 4576 4
22848.2.ik \(\chi_{22848}(5665, \cdot)\) n/a 2304 4
22848.2.im \(\chi_{22848}(863, \cdot)\) n/a 4608 4
22848.2.io \(\chi_{22848}(1279, \cdot)\) n/a 2304 4
22848.2.iq \(\chi_{22848}(2447, \cdot)\) n/a 4576 4
22848.2.is \(\chi_{22848}(2959, \cdot)\) n/a 2048 4
22848.2.iu \(\chi_{22848}(1361, \cdot)\) n/a 4096 4
22848.2.iw \(\chi_{22848}(4657, \cdot)\) n/a 2304 4
22848.2.iy \(\chi_{22848}(7345, \cdot)\) n/a 2048 4
22848.2.ja \(\chi_{22848}(1937, \cdot)\) n/a 4576 4
22848.2.jc \(\chi_{22848}(271, \cdot)\) n/a 2304 4
22848.2.je \(\chi_{22848}(1871, \cdot)\) n/a 4096 4
22848.2.jg \(\chi_{22848}(1951, \cdot)\) n/a 2304 4
22848.2.ji \(\chi_{22848}(191, \cdot)\) n/a 4576 4
22848.2.jk \(\chi_{22848}(6337, \cdot)\) n/a 2304 4
22848.2.jm \(\chi_{22848}(353, \cdot)\) n/a 4608 4
22848.2.jo \(\chi_{22848}(3727, \cdot)\) n/a 2304 4
22848.2.jr \(\chi_{22848}(625, \cdot)\) n/a 2304 4
22848.2.jt \(\chi_{22848}(5393, \cdot)\) n/a 4576 4
22848.2.ju \(\chi_{22848}(5903, \cdot)\) n/a 4576 4
22848.2.ka \(\chi_{22848}(197, \cdot)\) n/a 27648 8
22848.2.kb \(\chi_{22848}(685, \cdot)\) n/a 18432 8
22848.2.kc \(\chi_{22848}(3067, \cdot)\) n/a 13824 8
22848.2.kd \(\chi_{22848}(1091, \cdot)\) n/a 36800 8
22848.2.ke \(\chi_{22848}(419, \cdot)\) n/a 36800 8
22848.2.kf \(\chi_{22848}(211, \cdot)\) n/a 13824 8
22848.2.kg \(\chi_{22848}(853, \cdot)\) n/a 18432 8
22848.2.kh \(\chi_{22848}(2885, \cdot)\) n/a 27648 8
22848.2.kn \(\chi_{22848}(113, \cdot)\) n/a 6912 8
22848.2.kp \(\chi_{22848}(335, \cdot)\) n/a 9152 8
22848.2.kq \(\chi_{22848}(5809, \cdot)\) n/a 4608 8
22848.2.ks \(\chi_{22848}(2479, \cdot)\) n/a 3456 8
22848.2.lc \(\chi_{22848}(995, \cdot)\) n/a 27648 8
22848.2.lf \(\chi_{22848}(2813, \cdot)\) n/a 36800 8
22848.2.lg \(\chi_{22848}(2773, \cdot)\) n/a 13824 8
22848.2.lj \(\chi_{22848}(4003, \cdot)\) n/a 18432 8
22848.2.lo \(\chi_{22848}(9421, \cdot)\) n/a 18432 8
22848.2.lp \(\chi_{22848}(8987, \cdot)\) n/a 36800 8
22848.2.lq \(\chi_{22848}(5069, \cdot)\) n/a 27648 8
22848.2.lr \(\chi_{22848}(1219, \cdot)\) n/a 13824 8
22848.2.lw \(\chi_{22848}(29, \cdot)\) n/a 27648 8
22848.2.lx \(\chi_{22848}(8443, \cdot)\) n/a 13824 8
22848.2.ly \(\chi_{22848}(1357, \cdot)\) n/a 18432 8
22848.2.lz \(\chi_{22848}(1763, \cdot)\) n/a 36800 8
22848.2.ma \(\chi_{22848}(1051, \cdot)\) n/a 13824 8
22848.2.mb \(\chi_{22848}(8749, \cdot)\) n/a 18432 8
22848.2.mc \(\chi_{22848}(2213, \cdot)\) n/a 27648 8
22848.2.md \(\chi_{22848}(1595, \cdot)\) n/a 36800 8
22848.2.mm \(\chi_{22848}(2141, \cdot)\) n/a 36800 8
22848.2.mn \(\chi_{22848}(1429, \cdot)\) n/a 12288 8
22848.2.mo \(\chi_{22848}(307, \cdot)\) n/a 16384 8
22848.2.mp \(\chi_{22848}(1835, \cdot)\) n/a 27648 8
22848.2.nc \(\chi_{22848}(4831, \cdot)\) n/a 3456 8
22848.2.nd \(\chi_{22848}(2113, \cdot)\) n/a 4608 8
22848.2.ne \(\chi_{22848}(3359, \cdot)\) n/a 9216 8
22848.2.nf \(\chi_{22848}(449, \cdot)\) n/a 6912 8
22848.2.ni \(\chi_{22848}(1651, \cdot)\) n/a 18432 8
22848.2.nj \(\chi_{22848}(461, \cdot)\) n/a 36800 8
22848.2.nk \(\chi_{22848}(3011, \cdot)\) n/a 27648 8
22848.2.nl \(\chi_{22848}(757, \cdot)\) n/a 13824 8
22848.2.no \(\chi_{22848}(3277, \cdot)\) n/a 13824 8
22848.2.nr \(\chi_{22848}(3515, \cdot)\) n/a 27648 8
22848.2.ns \(\chi_{22848}(293, \cdot)\) n/a 36800 8
22848.2.nv \(\chi_{22848}(2155, \cdot)\) n/a 18432 8
22848.2.nx \(\chi_{22848}(965, \cdot)\) n/a 36800 8
22848.2.ny \(\chi_{22848}(1483, \cdot)\) n/a 18432 8
22848.2.ob \(\chi_{22848}(421, \cdot)\) n/a 13824 8
22848.2.oc \(\chi_{22848}(659, \cdot)\) n/a 27648 8
22848.2.og \(\chi_{22848}(1301, \cdot)\) n/a 36800 8
22848.2.oh \(\chi_{22848}(1147, \cdot)\) n/a 18432 8
22848.2.oi \(\chi_{22848}(253, \cdot)\) n/a 13824 8
22848.2.oj \(\chi_{22848}(2507, \cdot)\) n/a 27648 8
22848.2.om \(\chi_{22848}(97, \cdot)\) n/a 4608 8
22848.2.on \(\chi_{22848}(2815, \cdot)\) n/a 3456 8
22848.2.oo \(\chi_{22848}(6497, \cdot)\) n/a 6912 8
22848.2.op \(\chi_{22848}(5375, \cdot)\) n/a 9152 8
22848.2.pc \(\chi_{22848}(475, \cdot)\) n/a 18432 8
22848.2.pd \(\chi_{22848}(1667, \cdot)\) n/a 24576 8
22848.2.pe \(\chi_{22848}(1973, \cdot)\) n/a 32768 8
22848.2.pf \(\chi_{22848}(1597, \cdot)\) n/a 13824 8
22848.2.pk \(\chi_{22848}(9659, \cdot)\) n/a 36800 8
22848.2.pl \(\chi_{22848}(4397, \cdot)\) n/a 27648 8
22848.2.pm \(\chi_{22848}(1525, \cdot)\) n/a 18432 8
22848.2.pn \(\chi_{22848}(9115, \cdot)\) n/a 13824 8
22848.2.ps \(\chi_{22848}(2269, \cdot)\) n/a 13824 8
22848.2.pv \(\chi_{22848}(5347, \cdot)\) n/a 18432 8
22848.2.pw \(\chi_{22848}(155, \cdot)\) n/a 27648 8
22848.2.pz \(\chi_{22848}(3317, \cdot)\) n/a 36800 8
22848.2.qj \(\chi_{22848}(2351, \cdot)\) n/a 9152 8
22848.2.ql \(\chi_{22848}(1457, \cdot)\) n/a 6912 8
22848.2.qm \(\chi_{22848}(1807, \cdot)\) n/a 3456 8
22848.2.qo \(\chi_{22848}(3121, \cdot)\) n/a 4608 8
22848.2.qq \(\chi_{22848}(923, \cdot)\) n/a 36800 8
22848.2.qr \(\chi_{22848}(379, \cdot)\) n/a 13824 8
22848.2.qs \(\chi_{22848}(3373, \cdot)\) n/a 18432 8
22848.2.qt \(\chi_{22848}(3053, \cdot)\) n/a 27648 8
22848.2.rc \(\chi_{22848}(3611, \cdot)\) n/a 36800 8
22848.2.rd \(\chi_{22848}(547, \cdot)\) n/a 13824 8
22848.2.re \(\chi_{22848}(181, \cdot)\) n/a 18432 8
22848.2.rf \(\chi_{22848}(533, \cdot)\) n/a 27648 8
22848.2.sa \(\chi_{22848}(1375, \cdot)\) n/a 4608 8
22848.2.sb \(\chi_{22848}(961, \cdot)\) n/a 4608 8
22848.2.sc \(\chi_{22848}(767, \cdot)\) n/a 9152 8
22848.2.sd \(\chi_{22848}(3041, \cdot)\) n/a 9216 8
22848.2.sg \(\chi_{22848}(593, \cdot)\) n/a 9152 8
22848.2.sh \(\chi_{22848}(943, \cdot)\) n/a 4608 8
22848.2.sk \(\chi_{22848}(9263, \cdot)\) n/a 9152 8
22848.2.sl \(\chi_{22848}(3313, \cdot)\) n/a 4608 8
22848.2.tu \(\chi_{22848}(1103, \cdot)\) n/a 9152 8
22848.2.tv \(\chi_{22848}(529, \cdot)\) n/a 4608 8
22848.2.ty \(\chi_{22848}(8753, \cdot)\) n/a 9152 8
22848.2.tz \(\chi_{22848}(7087, \cdot)\) n/a 4608 8
22848.2.ue \(\chi_{22848}(3391, \cdot)\) n/a 4608 8
22848.2.uf \(\chi_{22848}(865, \cdot)\) n/a 4608 8
22848.2.ug \(\chi_{22848}(3551, \cdot)\) n/a 9216 8
22848.2.uh \(\chi_{22848}(257, \cdot)\) n/a 9152 8
22848.2.uy \(\chi_{22848}(2917, \cdot)\) n/a 36864 16
22848.2.uz \(\chi_{22848}(1229, \cdot)\) n/a 73600 16
22848.2.va \(\chi_{22848}(1643, \cdot)\) n/a 73600 16
22848.2.vb \(\chi_{22848}(571, \cdot)\) n/a 36864 16
22848.2.vk \(\chi_{22848}(653, \cdot)\) n/a 73600 16
22848.2.vl \(\chi_{22848}(1405, \cdot)\) n/a 36864 16
22848.2.vm \(\chi_{22848}(1507, \cdot)\) n/a 36864 16
22848.2.vn \(\chi_{22848}(227, \cdot)\) n/a 73600 16
22848.2.vp \(\chi_{22848}(79, \cdot)\) n/a 9216 16
22848.2.vr \(\chi_{22848}(241, \cdot)\) n/a 9216 16
22848.2.vs \(\chi_{22848}(719, \cdot)\) n/a 18304 16
22848.2.vu \(\chi_{22848}(3089, \cdot)\) n/a 18304 16
22848.2.we \(\chi_{22848}(451, \cdot)\) n/a 36864 16
22848.2.wh \(\chi_{22848}(1957, \cdot)\) n/a 36864 16
22848.2.wi \(\chi_{22848}(1685, \cdot)\) n/a 73600 16
22848.2.wl \(\chi_{22848}(179, \cdot)\) n/a 73600 16
22848.2.wq \(\chi_{22848}(4763, \cdot)\) n/a 73600 16
22848.2.wr \(\chi_{22848}(6029, \cdot)\) n/a 73600 16
22848.2.ws \(\chi_{22848}(61, \cdot)\) n/a 36864 16
22848.2.wt \(\chi_{22848}(499, \cdot)\) n/a 36864 16
22848.2.wy \(\chi_{22848}(373, \cdot)\) n/a 36864 16
22848.2.wz \(\chi_{22848}(341, \cdot)\) n/a 65536 16
22848.2.xa \(\chi_{22848}(443, \cdot)\) n/a 65536 16
22848.2.xb \(\chi_{22848}(1291, \cdot)\) n/a 36864 16
22848.2.xo \(\chi_{22848}(1151, \cdot)\) n/a 18304 16
22848.2.xp \(\chi_{22848}(737, \cdot)\) n/a 18432 16
22848.2.xq \(\chi_{22848}(1663, \cdot)\) n/a 9216 16
22848.2.xr \(\chi_{22848}(481, \cdot)\) n/a 9216 16
22848.2.xu \(\chi_{22848}(2195, \cdot)\) n/a 73600 16
22848.2.xv \(\chi_{22848}(1045, \cdot)\) n/a 36864 16
22848.2.xw \(\chi_{22848}(2467, \cdot)\) n/a 36864 16
22848.2.xx \(\chi_{22848}(773, \cdot)\) n/a 73600 16
22848.2.ya \(\chi_{22848}(1517, \cdot)\) n/a 73600 16
22848.2.yd \(\chi_{22848}(115, \cdot)\) n/a 36864 16
22848.2.ye \(\chi_{22848}(1789, \cdot)\) n/a 36864 16
22848.2.yh \(\chi_{22848}(2027, \cdot)\) n/a 73600 16
22848.2.yj \(\chi_{22848}(1381, \cdot)\) n/a 36864 16
22848.2.yk \(\chi_{22848}(1619, \cdot)\) n/a 73600 16
22848.2.yn \(\chi_{22848}(1109, \cdot)\) n/a 73600 16
22848.2.yo \(\chi_{22848}(523, \cdot)\) n/a 36864 16
22848.2.ys \(\chi_{22848}(2389, \cdot)\) n/a 36864 16
22848.2.yt \(\chi_{22848}(1691, \cdot)\) n/a 73600 16
22848.2.yu \(\chi_{22848}(2117, \cdot)\) n/a 73600 16
22848.2.yv \(\chi_{22848}(19, \cdot)\) n/a 36864 16
22848.2.yy \(\chi_{22848}(65, \cdot)\) n/a 18304 16
22848.2.yz \(\chi_{22848}(479, \cdot)\) n/a 18432 16
22848.2.za \(\chi_{22848}(1153, \cdot)\) n/a 9216 16
22848.2.zb \(\chi_{22848}(415, \cdot)\) n/a 9216 16
22848.2.zo \(\chi_{22848}(611, \cdot)\) n/a 73600 16
22848.2.zp \(\chi_{22848}(1123, \cdot)\) n/a 32768 16
22848.2.zq \(\chi_{22848}(205, \cdot)\) n/a 32768 16
22848.2.zr \(\chi_{22848}(101, \cdot)\) n/a 73600 16
22848.2.baa \(\chi_{22848}(163, \cdot)\) n/a 36864 16
22848.2.bab \(\chi_{22848}(3853, \cdot)\) n/a 36864 16
22848.2.bac \(\chi_{22848}(821, \cdot)\) n/a 73600 16
22848.2.bad \(\chi_{22848}(1235, \cdot)\) n/a 73600 16
22848.2.bae \(\chi_{22848}(4091, \cdot)\) n/a 73600 16
22848.2.baf \(\chi_{22848}(4525, \cdot)\) n/a 36864 16
22848.2.bag \(\chi_{22848}(1915, \cdot)\) n/a 36864 16
22848.2.bah \(\chi_{22848}(6701, \cdot)\) n/a 73600 16
22848.2.bam \(\chi_{22848}(2251, \cdot)\) n/a 36864 16
22848.2.ban \(\chi_{22848}(1661, \cdot)\) n/a 73600 16
22848.2.bao \(\chi_{22848}(131, \cdot)\) n/a 73600 16
22848.2.bap \(\chi_{22848}(997, \cdot)\) n/a 36864 16
22848.2.bau \(\chi_{22848}(1181, \cdot)\) n/a 73600 16
22848.2.bax \(\chi_{22848}(2627, \cdot)\) n/a 73600 16
22848.2.bay \(\chi_{22848}(2371, \cdot)\) n/a 36864 16
22848.2.bbb \(\chi_{22848}(1453, \cdot)\) n/a 36864 16
22848.2.bbl \(\chi_{22848}(913, \cdot)\) n/a 9216 16
22848.2.bbn \(\chi_{22848}(1423, \cdot)\) n/a 9216 16
22848.2.bbo \(\chi_{22848}(401, \cdot)\) n/a 18304 16
22848.2.bbq \(\chi_{22848}(143, \cdot)\) n/a 18304 16
22848.2.bbw \(\chi_{22848}(317, \cdot)\) n/a 73600 16
22848.2.bbx \(\chi_{22848}(1741, \cdot)\) n/a 36864 16
22848.2.bby \(\chi_{22848}(235, \cdot)\) n/a 36864 16
22848.2.bbz \(\chi_{22848}(3155, \cdot)\) n/a 73600 16
22848.2.bca \(\chi_{22848}(403, \cdot)\) n/a 36864 16
22848.2.bcb \(\chi_{22848}(1979, \cdot)\) n/a 73600 16
22848.2.bcc \(\chi_{22848}(725, \cdot)\) n/a 73600 16
22848.2.bcd \(\chi_{22848}(2077, \cdot)\) n/a 36864 16

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(22848))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(22848)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(1))\)\(^{\oplus 56}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2))\)\(^{\oplus 48}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(3))\)\(^{\oplus 28}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(4))\)\(^{\oplus 40}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(6))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(7))\)\(^{\oplus 28}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(8))\)\(^{\oplus 32}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(12))\)\(^{\oplus 20}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(14))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(16))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(17))\)\(^{\oplus 28}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(21))\)\(^{\oplus 14}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(24))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(28))\)\(^{\oplus 20}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(32))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(34))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(42))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(48))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(51))\)\(^{\oplus 14}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(56))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(64))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(68))\)\(^{\oplus 20}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(84))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(96))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(102))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(112))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(119))\)\(^{\oplus 14}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(136))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(168))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(192))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(204))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(224))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(238))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(272))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(336))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(357))\)\(^{\oplus 7}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(408))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(448))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(476))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(544))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(672))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(714))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(816))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(952))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1088))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1344))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1428))\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1632))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1904))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2856))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(3264))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(3808))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(5712))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(7616))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(11424))\)\(^{\oplus 2}\)