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Properties

Label 8190.2
Level 8190
Weight 2
Dimension 398984
Nonzero newspaces 280
Sturm bound 6967296

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Defining parameters

Level: \( N \) = \( 8190 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 280 \)
Sturm bound: \(6967296\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(8190))\).

Total New Old
Modular forms 1760256 398984 1361272
Cusp forms 1723393 398984 1324409
Eisenstein series 36863 0 36863

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(8190))\)

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
8190.2.a \(\chi_{8190}(1, \cdot)\) 8190.2.a.a 1 1
8190.2.a.b 1
8190.2.a.c 1
8190.2.a.d 1
8190.2.a.e 1
8190.2.a.f 1
8190.2.a.g 1
8190.2.a.h 1
8190.2.a.i 1
8190.2.a.j 1
8190.2.a.k 1
8190.2.a.l 1
8190.2.a.m 1
8190.2.a.n 1
8190.2.a.o 1
8190.2.a.p 1
8190.2.a.q 1
8190.2.a.r 1
8190.2.a.s 1
8190.2.a.t 1
8190.2.a.u 1
8190.2.a.v 1
8190.2.a.w 1
8190.2.a.x 1
8190.2.a.y 1
8190.2.a.z 1
8190.2.a.ba 1
8190.2.a.bb 1
8190.2.a.bc 1
8190.2.a.bd 1
8190.2.a.be 1
8190.2.a.bf 1
8190.2.a.bg 1
8190.2.a.bh 1
8190.2.a.bi 1
8190.2.a.bj 1
8190.2.a.bk 1
8190.2.a.bl 1
8190.2.a.bm 1
8190.2.a.bn 1
8190.2.a.bo 1
8190.2.a.bp 1
8190.2.a.bq 1
8190.2.a.br 1
8190.2.a.bs 1
8190.2.a.bt 1
8190.2.a.bu 1
8190.2.a.bv 1
8190.2.a.bw 1
8190.2.a.bx 1
8190.2.a.by 1
8190.2.a.bz 1
8190.2.a.ca 1
8190.2.a.cb 2
8190.2.a.cc 2
8190.2.a.cd 2
8190.2.a.ce 2
8190.2.a.cf 2
8190.2.a.cg 2
8190.2.a.ch 2
8190.2.a.ci 2
8190.2.a.cj 2
8190.2.a.ck 2
8190.2.a.cl 2
8190.2.a.cm 2
8190.2.a.cn 2
8190.2.a.co 2
8190.2.a.cp 2
8190.2.a.cq 3
8190.2.a.cr 3
8190.2.a.cs 3
8190.2.a.ct 3
8190.2.a.cu 3
8190.2.a.cv 3
8190.2.a.cw 3
8190.2.a.cx 4
8190.2.a.cy 4
8190.2.a.cz 4
8190.2.a.da 4
8190.2.b \(\chi_{8190}(4159, \cdot)\) n/a 208 1
8190.2.c \(\chi_{8190}(5669, \cdot)\) n/a 192 1
8190.2.f \(\chi_{8190}(4031, \cdot)\) n/a 128 1
8190.2.g \(\chi_{8190}(2521, \cdot)\) n/a 140 1
8190.2.l \(\chi_{8190}(1639, \cdot)\) n/a 180 1
8190.2.m \(\chi_{8190}(8189, \cdot)\) n/a 224 1
8190.2.p \(\chi_{8190}(6551, \cdot)\) n/a 160 1
8190.2.q \(\chi_{8190}(781, \cdot)\) n/a 768 2
8190.2.r \(\chi_{8190}(5671, \cdot)\) n/a 280 2
8190.2.s \(\chi_{8190}(1171, \cdot)\) n/a 320 2
8190.2.t \(\chi_{8190}(211, \cdot)\) n/a 672 2
8190.2.u \(\chi_{8190}(3721, \cdot)\) n/a 896 2
8190.2.v \(\chi_{8190}(2011, \cdot)\) n/a 896 2
8190.2.w \(\chi_{8190}(4111, \cdot)\) n/a 896 2
8190.2.x \(\chi_{8190}(1621, \cdot)\) n/a 376 2
8190.2.y \(\chi_{8190}(2731, \cdot)\) n/a 576 2
8190.2.z \(\chi_{8190}(841, \cdot)\) n/a 672 2
8190.2.ba \(\chi_{8190}(6241, \cdot)\) n/a 768 2
8190.2.bb \(\chi_{8190}(991, \cdot)\) n/a 376 2
8190.2.bc \(\chi_{8190}(1381, \cdot)\) n/a 896 2
8190.2.bd \(\chi_{8190}(3457, \cdot)\) n/a 560 2
8190.2.be \(\chi_{8190}(1457, \cdot)\) n/a 288 2
8190.2.bh \(\chi_{8190}(2969, \cdot)\) n/a 336 2
8190.2.bk \(\chi_{8190}(2449, \cdot)\) n/a 560 2
8190.2.bl \(\chi_{8190}(5923, \cdot)\) n/a 420 2
8190.2.bo \(\chi_{8190}(1513, \cdot)\) n/a 420 2
8190.2.bp \(\chi_{8190}(1763, \cdot)\) n/a 448 2
8190.2.bs \(\chi_{8190}(5543, \cdot)\) n/a 448 2
8190.2.bu \(\chi_{8190}(811, \cdot)\) n/a 384 2
8190.2.bv \(\chi_{8190}(1331, \cdot)\) n/a 224 2
8190.2.bz \(\chi_{8190}(937, \cdot)\) n/a 480 2
8190.2.ca \(\chi_{8190}(3977, \cdot)\) n/a 336 2
8190.2.cd \(\chi_{8190}(2999, \cdot)\) n/a 1344 2
8190.2.ce \(\chi_{8190}(2389, \cdot)\) n/a 1344 2
8190.2.cf \(\chi_{8190}(361, \cdot)\) n/a 376 2
8190.2.cg \(\chi_{8190}(971, \cdot)\) n/a 304 2
8190.2.cl \(\chi_{8190}(5591, \cdot)\) n/a 768 2
8190.2.cm \(\chi_{8190}(2311, \cdot)\) n/a 672 2
8190.2.cn \(\chi_{8190}(4241, \cdot)\) n/a 896 2
8190.2.co \(\chi_{8190}(571, \cdot)\) n/a 896 2
8190.2.cr \(\chi_{8190}(2609, \cdot)\) n/a 448 2
8190.2.cs \(\chi_{8190}(1999, \cdot)\) n/a 560 2
8190.2.cx \(\chi_{8190}(2209, \cdot)\) n/a 1344 2
8190.2.cy \(\chi_{8190}(1049, \cdot)\) n/a 1344 2
8190.2.cz \(\chi_{8190}(589, \cdot)\) n/a 1008 2
8190.2.da \(\chi_{8190}(7229, \cdot)\) n/a 1152 2
8190.2.df \(\chi_{8190}(751, \cdot)\) n/a 896 2
8190.2.dg \(\chi_{8190}(1361, \cdot)\) n/a 896 2
8190.2.dj \(\chi_{8190}(289, \cdot)\) n/a 560 2
8190.2.dk \(\chi_{8190}(3839, \cdot)\) n/a 1344 2
8190.2.dl \(\chi_{8190}(5749, \cdot)\) n/a 1344 2
8190.2.dm \(\chi_{8190}(1349, \cdot)\) n/a 448 2
8190.2.dr \(\chi_{8190}(2729, \cdot)\) n/a 1344 2
8190.2.ds \(\chi_{8190}(4369, \cdot)\) n/a 864 2
8190.2.dx \(\chi_{8190}(2981, \cdot)\) n/a 896 2
8190.2.dy \(\chi_{8190}(3041, \cdot)\) n/a 288 2
8190.2.dz \(\chi_{8190}(251, \cdot)\) n/a 288 2
8190.2.ea \(\chi_{8190}(2651, \cdot)\) n/a 896 2
8190.2.ej \(\chi_{8190}(101, \cdot)\) n/a 896 2
8190.2.ek \(\chi_{8190}(1811, \cdot)\) n/a 896 2
8190.2.ep \(\chi_{8190}(1849, \cdot)\) n/a 1008 2
8190.2.eq \(\chi_{8190}(4679, \cdot)\) n/a 448 2
8190.2.er \(\chi_{8190}(4289, \cdot)\) n/a 1344 2
8190.2.es \(\chi_{8190}(1889, \cdot)\) n/a 448 2
8190.2.et \(\chi_{8190}(7309, \cdot)\) n/a 424 2
8190.2.eu \(\chi_{8190}(2419, \cdot)\) n/a 1152 2
8190.2.ev \(\chi_{8190}(2809, \cdot)\) n/a 480 2
8190.2.ew \(\chi_{8190}(4619, \cdot)\) n/a 1344 2
8190.2.ff \(\chi_{8190}(3649, \cdot)\) n/a 1344 2
8190.2.fg \(\chi_{8190}(3449, \cdot)\) n/a 1344 2
8190.2.fh \(\chi_{8190}(5359, \cdot)\) n/a 1344 2
8190.2.fi \(\chi_{8190}(1739, \cdot)\) n/a 1344 2
8190.2.fl \(\chi_{8190}(4931, \cdot)\) n/a 304 2
8190.2.fm \(\chi_{8190}(2201, \cdot)\) n/a 896 2
8190.2.fr \(\chi_{8190}(1091, \cdot)\) n/a 896 2
8190.2.fs \(\chi_{8190}(209, \cdot)\) n/a 1152 2
8190.2.ft \(\chi_{8190}(1429, \cdot)\) n/a 1008 2
8190.2.fy \(\chi_{8190}(1369, \cdot)\) n/a 560 2
8190.2.fz \(\chi_{8190}(4709, \cdot)\) n/a 1344 2
8190.2.ga \(\chi_{8190}(4099, \cdot)\) n/a 1344 2
8190.2.gb \(\chi_{8190}(269, \cdot)\) n/a 448 2
8190.2.ge \(\chi_{8190}(731, \cdot)\) n/a 896 2
8190.2.gf \(\chi_{8190}(2851, \cdot)\) n/a 896 2
8190.2.gg \(\chi_{8190}(3461, \cdot)\) n/a 896 2
8190.2.gh \(\chi_{8190}(121, \cdot)\) n/a 896 2
8190.2.gq \(\chi_{8190}(4871, \cdot)\) n/a 896 2
8190.2.gr \(\chi_{8190}(3301, \cdot)\) n/a 896 2
8190.2.gs \(\chi_{8190}(4411, \cdot)\) n/a 280 2
8190.2.gt \(\chi_{8190}(3691, \cdot)\) n/a 368 2
8190.2.gu \(\chi_{8190}(521, \cdot)\) n/a 256 2
8190.2.gv \(\chi_{8190}(1511, \cdot)\) n/a 288 2
8190.2.gw \(\chi_{8190}(131, \cdot)\) n/a 768 2
8190.2.gx \(\chi_{8190}(1681, \cdot)\) n/a 672 2
8190.2.hc \(\chi_{8190}(1759, \cdot)\) n/a 1344 2
8190.2.hd \(\chi_{8190}(5099, \cdot)\) n/a 1344 2
8190.2.he \(\chi_{8190}(4489, \cdot)\) n/a 1344 2
8190.2.hf \(\chi_{8190}(2369, \cdot)\) n/a 1344 2
8190.2.ho \(\chi_{8190}(1219, \cdot)\) n/a 1008 2
8190.2.hp \(\chi_{8190}(2159, \cdot)\) n/a 384 2
8190.2.hq \(\chi_{8190}(1769, \cdot)\) n/a 1152 2
8190.2.hr \(\chi_{8190}(3149, \cdot)\) n/a 448 2
8190.2.hs \(\chi_{8190}(6049, \cdot)\) n/a 416 2
8190.2.ht \(\chi_{8190}(4939, \cdot)\) n/a 1344 2
8190.2.hu \(\chi_{8190}(5329, \cdot)\) n/a 560 2
8190.2.hv \(\chi_{8190}(419, \cdot)\) n/a 1344 2
8190.2.ia \(\chi_{8190}(5251, \cdot)\) n/a 672 2
8190.2.ib \(\chi_{8190}(1301, \cdot)\) n/a 768 2
8190.2.ig \(\chi_{8190}(341, \cdot)\) n/a 304 2
8190.2.ih \(\chi_{8190}(2461, \cdot)\) n/a 896 2
8190.2.ii \(\chi_{8190}(3071, \cdot)\) n/a 896 2
8190.2.ij \(\chi_{8190}(6211, \cdot)\) n/a 376 2
8190.2.im \(\chi_{8190}(1109, \cdot)\) n/a 1344 2
8190.2.in \(\chi_{8190}(529, \cdot)\) n/a 1344 2
8190.2.is \(\chi_{8190}(311, \cdot)\) n/a 896 2
8190.2.it \(\chi_{8190}(3611, \cdot)\) n/a 896 2
8190.2.iy \(\chi_{8190}(5561, \cdot)\) n/a 304 2
8190.2.jb \(\chi_{8190}(79, \cdot)\) n/a 1152 2
8190.2.jc \(\chi_{8190}(5249, \cdot)\) n/a 1344 2
8190.2.jd \(\chi_{8190}(2479, \cdot)\) n/a 1008 2
8190.2.je \(\chi_{8190}(1559, \cdot)\) n/a 1344 2
8190.2.jj \(\chi_{8190}(719, \cdot)\) n/a 448 2
8190.2.jk \(\chi_{8190}(919, \cdot)\) n/a 560 2
8190.2.jl \(\chi_{8190}(5171, \cdot)\) n/a 896 2
8190.2.jo \(\chi_{8190}(737, \cdot)\) n/a 896 4
8190.2.jp \(\chi_{8190}(2467, \cdot)\) n/a 1120 4
8190.2.jw \(\chi_{8190}(3163, \cdot)\) n/a 2688 4
8190.2.jx \(\chi_{8190}(443, \cdot)\) n/a 2304 4
8190.2.jy \(\chi_{8190}(653, \cdot)\) n/a 2688 4
8190.2.jz \(\chi_{8190}(2677, \cdot)\) n/a 2688 4
8190.2.ka \(\chi_{8190}(2383, \cdot)\) n/a 2688 4
8190.2.kb \(\chi_{8190}(113, \cdot)\) n/a 2016 4
8190.2.kk \(\chi_{8190}(703, \cdot)\) n/a 960 4
8190.2.kl \(\chi_{8190}(1543, \cdot)\) n/a 2688 4
8190.2.km \(\chi_{8190}(2027, \cdot)\) n/a 2688 4
8190.2.kn \(\chi_{8190}(953, \cdot)\) n/a 672 4
8190.2.ko \(\chi_{8190}(1187, \cdot)\) n/a 896 4
8190.2.kp \(\chi_{8190}(407, \cdot)\) n/a 2016 4
8190.2.kq \(\chi_{8190}(1693, \cdot)\) n/a 1120 4
8190.2.kr \(\chi_{8190}(2497, \cdot)\) n/a 2304 4
8190.2.ks \(\chi_{8190}(1147, \cdot)\) n/a 2688 4
8190.2.kt \(\chi_{8190}(523, \cdot)\) n/a 1120 4
8190.2.ku \(\chi_{8190}(1733, \cdot)\) n/a 2688 4
8190.2.kv \(\chi_{8190}(233, \cdot)\) n/a 896 4
8190.2.li \(\chi_{8190}(367, \cdot)\) n/a 2688 4
8190.2.lj \(\chi_{8190}(1247, \cdot)\) n/a 2016 4
8190.2.lk \(\chi_{8190}(1577, \cdot)\) n/a 2688 4
8190.2.ll \(\chi_{8190}(913, \cdot)\) n/a 2688 4
8190.2.lm \(\chi_{8190}(1483, \cdot)\) n/a 2304 4
8190.2.ln \(\chi_{8190}(4307, \cdot)\) n/a 2688 4
8190.2.lp \(\chi_{8190}(3959, \cdot)\) n/a 896 4
8190.2.lr \(\chi_{8190}(1399, \cdot)\) n/a 2688 4
8190.2.ls \(\chi_{8190}(1879, \cdot)\) n/a 2688 4
8190.2.lv \(\chi_{8190}(409, \cdot)\) n/a 2688 4
8190.2.lw \(\chi_{8190}(1229, \cdot)\) n/a 2688 4
8190.2.lz \(\chi_{8190}(239, \cdot)\) n/a 2016 4
8190.2.ma \(\chi_{8190}(2039, \cdot)\) n/a 2688 4
8190.2.mc \(\chi_{8190}(1909, \cdot)\) n/a 1120 4
8190.2.mf \(\chi_{8190}(3751, \cdot)\) n/a 1792 4
8190.2.mg \(\chi_{8190}(31, \cdot)\) n/a 1792 4
8190.2.mj \(\chi_{8190}(1111, \cdot)\) n/a 1792 4
8190.2.mk \(\chi_{8190}(1061, \cdot)\) n/a 576 4
8190.2.ml \(\chi_{8190}(4271, \cdot)\) n/a 1344 4
8190.2.mq \(\chi_{8190}(2711, \cdot)\) n/a 1792 4
8190.2.mr \(\chi_{8190}(71, \cdot)\) n/a 448 4
8190.2.ms \(\chi_{8190}(431, \cdot)\) n/a 608 4
8190.2.mt \(\chi_{8190}(3791, \cdot)\) n/a 1792 4
8190.2.my \(\chi_{8190}(661, \cdot)\) n/a 1792 4
8190.2.mz \(\chi_{8190}(1081, \cdot)\) n/a 752 4
8190.2.na \(\chi_{8190}(2371, \cdot)\) n/a 1792 4
8190.2.nb \(\chi_{8190}(1441, \cdot)\) n/a 736 4
8190.2.ng \(\chi_{8190}(1711, \cdot)\) n/a 736 4
8190.2.nh \(\chi_{8190}(1021, \cdot)\) n/a 1792 4
8190.2.ni \(\chi_{8190}(11, \cdot)\) n/a 1792 4
8190.2.nl \(\chi_{8190}(1541, \cdot)\) n/a 1344 4
8190.2.nm \(\chi_{8190}(1451, \cdot)\) n/a 1792 4
8190.2.np \(\chi_{8190}(457, \cdot)\) n/a 2688 4
8190.2.nr \(\chi_{8190}(2563, \cdot)\) n/a 2016 4
8190.2.ns \(\chi_{8190}(2683, \cdot)\) n/a 1120 4
8190.2.nv \(\chi_{8190}(4153, \cdot)\) n/a 2688 4
8190.2.nw \(\chi_{8190}(877, \cdot)\) n/a 2688 4
8190.2.nz \(\chi_{8190}(1243, \cdot)\) n/a 1120 4
8190.2.oa \(\chi_{8190}(1723, \cdot)\) n/a 2016 4
8190.2.oc \(\chi_{8190}(1957, \cdot)\) n/a 2688 4
8190.2.oe \(\chi_{8190}(227, \cdot)\) n/a 2688 4
8190.2.oh \(\chi_{8190}(4493, \cdot)\) n/a 2688 4
8190.2.oi \(\chi_{8190}(4877, \cdot)\) n/a 896 4
8190.2.om \(\chi_{8190}(3113, \cdot)\) n/a 896 4
8190.2.on \(\chi_{8190}(167, \cdot)\) n/a 2688 4
8190.2.oo \(\chi_{8190}(47, \cdot)\) n/a 2688 4
8190.2.op \(\chi_{8190}(1307, \cdot)\) n/a 2688 4
8190.2.ou \(\chi_{8190}(1643, \cdot)\) n/a 2688 4
8190.2.ov \(\chi_{8190}(1133, \cdot)\) n/a 896 4
8190.2.ow \(\chi_{8190}(983, \cdot)\) n/a 2688 4
8190.2.ox \(\chi_{8190}(1007, \cdot)\) n/a 896 4
8190.2.pc \(\chi_{8190}(3317, \cdot)\) n/a 2688 4
8190.2.pd \(\chi_{8190}(1853, \cdot)\) n/a 896 4
8190.2.pe \(\chi_{8190}(2567, \cdot)\) n/a 2688 4
8190.2.pf \(\chi_{8190}(3323, \cdot)\) n/a 2688 4
8190.2.pj \(\chi_{8190}(773, \cdot)\) n/a 896 4
8190.2.pk \(\chi_{8190}(83, \cdot)\) n/a 2688 4
8190.2.pn \(\chi_{8190}(3503, \cdot)\) n/a 2688 4
8190.2.po \(\chi_{8190}(5917, \cdot)\) n/a 2688 4
8190.2.pr \(\chi_{8190}(487, \cdot)\) n/a 1120 4
8190.2.ps \(\chi_{8190}(463, \cdot)\) n/a 2016 4
8190.2.pw \(\chi_{8190}(2347, \cdot)\) n/a 2688 4
8190.2.px \(\chi_{8190}(697, \cdot)\) n/a 2688 4
8190.2.py \(\chi_{8190}(1177, \cdot)\) n/a 2016 4
8190.2.pz \(\chi_{8190}(613, \cdot)\) n/a 1120 4
8190.2.qe \(\chi_{8190}(253, \cdot)\) n/a 840 4
8190.2.qf \(\chi_{8190}(2293, \cdot)\) n/a 2688 4
8190.2.qg \(\chi_{8190}(2017, \cdot)\) n/a 840 4
8190.2.qh \(\chi_{8190}(1633, \cdot)\) n/a 2688 4
8190.2.qm \(\chi_{8190}(3973, \cdot)\) n/a 2688 4
8190.2.qn \(\chi_{8190}(67, \cdot)\) n/a 2688 4
8190.2.qo \(\chi_{8190}(163, \cdot)\) n/a 1120 4
8190.2.qp \(\chi_{8190}(2437, \cdot)\) n/a 2016 4
8190.2.qt \(\chi_{8190}(4243, \cdot)\) n/a 2016 4
8190.2.qu \(\chi_{8190}(37, \cdot)\) n/a 1120 4
8190.2.qx \(\chi_{8190}(1003, \cdot)\) n/a 2688 4
8190.2.qz \(\chi_{8190}(2957, \cdot)\) n/a 2688 4
8190.2.rb \(\chi_{8190}(2033, \cdot)\) n/a 896 4
8190.2.rc \(\chi_{8190}(1553, \cdot)\) n/a 2688 4
8190.2.rf \(\chi_{8190}(353, \cdot)\) n/a 2688 4
8190.2.rg \(\chi_{8190}(5267, \cdot)\) n/a 2688 4
8190.2.rj \(\chi_{8190}(293, \cdot)\) n/a 2688 4
8190.2.rk \(\chi_{8190}(593, \cdot)\) n/a 896 4
8190.2.rm \(\chi_{8190}(1697, \cdot)\) n/a 2688 4
8190.2.ro \(\chi_{8190}(149, \cdot)\) n/a 2688 4
8190.2.rr \(\chi_{8190}(3089, \cdot)\) n/a 2688 4
8190.2.rs \(\chi_{8190}(869, \cdot)\) n/a 2016 4
8190.2.rw \(\chi_{8190}(1189, \cdot)\) n/a 1120 4
8190.2.rx \(\chi_{8190}(19, \cdot)\) n/a 1120 4
8190.2.ry \(\chi_{8190}(229, \cdot)\) n/a 2688 4
8190.2.rz \(\chi_{8190}(2299, \cdot)\) n/a 2688 4
8190.2.se \(\chi_{8190}(349, \cdot)\) n/a 2688 4
8190.2.sf \(\chi_{8190}(1279, \cdot)\) n/a 1120 4
8190.2.sg \(\chi_{8190}(1289, \cdot)\) n/a 2016 4
8190.2.sh \(\chi_{8190}(359, \cdot)\) n/a 896 4
8190.2.sm \(\chi_{8190}(1619, \cdot)\) n/a 896 4
8190.2.sn \(\chi_{8190}(1019, \cdot)\) n/a 2688 4
8190.2.so \(\chi_{8190}(449, \cdot)\) n/a 672 4
8190.2.sp \(\chi_{8190}(4349, \cdot)\) n/a 2688 4
8190.2.st \(\chi_{8190}(1669, \cdot)\) n/a 2688 4
8190.2.su \(\chi_{8190}(769, \cdot)\) n/a 2688 4
8190.2.sx \(\chi_{8190}(1489, \cdot)\) n/a 2688 4
8190.2.sy \(\chi_{8190}(271, \cdot)\) n/a 752 4
8190.2.ta \(\chi_{8190}(821, \cdot)\) n/a 1792 4
8190.2.td \(\chi_{8190}(401, \cdot)\) n/a 1792 4
8190.2.te \(\chi_{8190}(281, \cdot)\) n/a 1344 4
8190.2.th \(\chi_{8190}(241, \cdot)\) n/a 1792 4
8190.2.ti \(\chi_{8190}(2491, \cdot)\) n/a 1792 4
8190.2.tl \(\chi_{8190}(691, \cdot)\) n/a 1792 4
8190.2.tn \(\chi_{8190}(2321, \cdot)\) n/a 608 4
8190.2.to \(\chi_{8190}(1993, \cdot)\) n/a 2688 4
8190.2.tp \(\chi_{8190}(2993, \cdot)\) n/a 2688 4
8190.2.tq \(\chi_{8190}(2003, \cdot)\) n/a 1728 4
8190.2.tr \(\chi_{8190}(727, \cdot)\) n/a 2688 4
8190.2.ts \(\chi_{8190}(283, \cdot)\) n/a 2688 4
8190.2.tt \(\chi_{8190}(263, \cdot)\) n/a 2688 4
8190.2.ug \(\chi_{8190}(2077, \cdot)\) n/a 2688 4
8190.2.uh \(\chi_{8190}(2287, \cdot)\) n/a 1120 4
8190.2.ui \(\chi_{8190}(2297, \cdot)\) n/a 2016 4
8190.2.uj \(\chi_{8190}(107, \cdot)\) n/a 896 4
8190.2.uk \(\chi_{8190}(2213, \cdot)\) n/a 672 4
8190.2.ul \(\chi_{8190}(2783, \cdot)\) n/a 2304 4
8190.2.um \(\chi_{8190}(1837, \cdot)\) n/a 1120 4
8190.2.un \(\chi_{8190}(517, \cdot)\) n/a 2688 4
8190.2.uo \(\chi_{8190}(103, \cdot)\) n/a 2688 4
8190.2.up \(\chi_{8190}(433, \cdot)\) n/a 1120 4
8190.2.uq \(\chi_{8190}(53, \cdot)\) n/a 768 4
8190.2.ur \(\chi_{8190}(347, \cdot)\) n/a 2688 4
8190.2.va \(\chi_{8190}(1777, \cdot)\) n/a 2688 4
8190.2.vb \(\chi_{8190}(23, \cdot)\) n/a 2688 4
8190.2.vc \(\chi_{8190}(2963, \cdot)\) n/a 2688 4
8190.2.vd \(\chi_{8190}(997, \cdot)\) n/a 2688 4
8190.2.ve \(\chi_{8190}(157, \cdot)\) n/a 2304 4
8190.2.vf \(\chi_{8190}(1037, \cdot)\) n/a 2016 4
8190.2.vm \(\chi_{8190}(1817, \cdot)\) n/a 896 4
8190.2.vn \(\chi_{8190}(1153, \cdot)\) n/a 1120 4

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(8190))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(8190)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(13))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(14))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(15))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(18))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(21))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(26))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(30))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(35))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(39))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(42))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(45))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(63))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(65))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(70))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(78))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(90))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(91))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(105))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(117))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(126))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(130))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(182))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(195))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(210))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(234))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(273))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(315))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(390))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(455))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(546))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(585))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(630))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(819))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(910))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1170))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1365))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1638))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2730))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(4095))\)\(^{\oplus 2}\)