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Properties

Label 9360.2
Level 9360
Weight 2
Dimension 934064
Nonzero newspaces 260
Sturm bound 9289728

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Defining parameters

Level: \( N \) = \( 9360 = 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 260 \)
Sturm bound: \(9289728\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(9360))\).

Total New Old
Modular forms 2343936 939412 1404524
Cusp forms 2300929 934064 1366865
Eisenstein series 43007 5348 37659

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(9360))\)

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
9360.2.a \(\chi_{9360}(1, \cdot)\) 9360.2.a.a 1 1
9360.2.a.b 1
9360.2.a.c 1
9360.2.a.d 1
9360.2.a.e 1
9360.2.a.f 1
9360.2.a.g 1
9360.2.a.h 1
9360.2.a.i 1
9360.2.a.j 1
9360.2.a.k 1
9360.2.a.l 1
9360.2.a.m 1
9360.2.a.n 1
9360.2.a.o 1
9360.2.a.p 1
9360.2.a.q 1
9360.2.a.r 1
9360.2.a.s 1
9360.2.a.t 1
9360.2.a.u 1
9360.2.a.v 1
9360.2.a.w 1
9360.2.a.x 1
9360.2.a.y 1
9360.2.a.z 1
9360.2.a.ba 1
9360.2.a.bb 1
9360.2.a.bc 1
9360.2.a.bd 1
9360.2.a.be 1
9360.2.a.bf 1
9360.2.a.bg 1
9360.2.a.bh 1
9360.2.a.bi 1
9360.2.a.bj 1
9360.2.a.bk 1
9360.2.a.bl 1
9360.2.a.bm 1
9360.2.a.bn 1
9360.2.a.bo 1
9360.2.a.bp 1
9360.2.a.bq 1
9360.2.a.br 1
9360.2.a.bs 1
9360.2.a.bt 1
9360.2.a.bu 1
9360.2.a.bv 1
9360.2.a.bw 1
9360.2.a.bx 1
9360.2.a.by 1
9360.2.a.bz 1
9360.2.a.ca 1
9360.2.a.cb 1
9360.2.a.cc 2
9360.2.a.cd 2
9360.2.a.ce 2
9360.2.a.cf 2
9360.2.a.cg 2
9360.2.a.ch 2
9360.2.a.ci 2
9360.2.a.cj 2
9360.2.a.ck 2
9360.2.a.cl 2
9360.2.a.cm 2
9360.2.a.cn 2
9360.2.a.co 2
9360.2.a.cp 2
9360.2.a.cq 2
9360.2.a.cr 2
9360.2.a.cs 2
9360.2.a.ct 2
9360.2.a.cu 2
9360.2.a.cv 2
9360.2.a.cw 2
9360.2.a.cx 3
9360.2.a.cy 3
9360.2.a.cz 3
9360.2.a.da 3
9360.2.a.db 3
9360.2.a.dc 3
9360.2.a.dd 3
9360.2.a.de 3
9360.2.b \(\chi_{9360}(2809, \cdot)\) None 0 1
9360.2.e \(\chi_{9360}(8711, \cdot)\) None 0 1
9360.2.g \(\chi_{9360}(7201, \cdot)\) n/a 140 1
9360.2.h \(\chi_{9360}(9359, \cdot)\) n/a 168 1
9360.2.k \(\chi_{9360}(4031, \cdot)\) 9360.2.k.a 16 1
9360.2.k.b 16
9360.2.k.c 32
9360.2.k.d 32
9360.2.l \(\chi_{9360}(7489, \cdot)\) n/a 180 1
9360.2.n \(\chi_{9360}(4679, \cdot)\) None 0 1
9360.2.q \(\chi_{9360}(2521, \cdot)\) None 0 1
9360.2.r \(\chi_{9360}(5329, \cdot)\) n/a 208 1
9360.2.u \(\chi_{9360}(1871, \cdot)\) n/a 112 1
9360.2.w \(\chi_{9360}(4681, \cdot)\) None 0 1
9360.2.x \(\chi_{9360}(6839, \cdot)\) None 0 1
9360.2.ba \(\chi_{9360}(6551, \cdot)\) None 0 1
9360.2.bb \(\chi_{9360}(649, \cdot)\) None 0 1
9360.2.bd \(\chi_{9360}(2159, \cdot)\) n/a 144 1
9360.2.bg \(\chi_{9360}(2161, \cdot)\) n/a 280 2
9360.2.bh \(\chi_{9360}(3121, \cdot)\) n/a 576 2
9360.2.bi \(\chi_{9360}(5281, \cdot)\) n/a 672 2
9360.2.bj \(\chi_{9360}(2401, \cdot)\) n/a 672 2
9360.2.bl \(\chi_{9360}(1763, \cdot)\) n/a 1344 2
9360.2.bn \(\chi_{9360}(6157, \cdot)\) n/a 1672 2
9360.2.bp \(\chi_{9360}(4211, \cdot)\) n/a 896 2
9360.2.bq \(\chi_{9360}(2989, \cdot)\) n/a 1672 2
9360.2.bs \(\chi_{9360}(577, \cdot)\) n/a 416 2
9360.2.bt \(\chi_{9360}(5543, \cdot)\) None 0 2
9360.2.by \(\chi_{9360}(73, \cdot)\) None 0 2
9360.2.bz \(\chi_{9360}(863, \cdot)\) n/a 336 2
9360.2.cb \(\chi_{9360}(2341, \cdot)\) n/a 960 2
9360.2.cc \(\chi_{9360}(4499, \cdot)\) n/a 1152 2
9360.2.ce \(\chi_{9360}(1477, \cdot)\) n/a 1672 2
9360.2.cg \(\chi_{9360}(6443, \cdot)\) n/a 1344 2
9360.2.ci \(\chi_{9360}(5491, \cdot)\) n/a 1120 2
9360.2.cl \(\chi_{9360}(5309, \cdot)\) n/a 1344 2
9360.2.cn \(\chi_{9360}(233, \cdot)\) None 0 2
9360.2.co \(\chi_{9360}(1457, \cdot)\) n/a 288 2
9360.2.cr \(\chi_{9360}(703, \cdot)\) n/a 360 2
9360.2.cs \(\chi_{9360}(3223, \cdot)\) None 0 2
9360.2.cv \(\chi_{9360}(3619, \cdot)\) n/a 1672 2
9360.2.cw \(\chi_{9360}(1061, \cdot)\) n/a 896 2
9360.2.cz \(\chi_{9360}(6209, \cdot)\) n/a 336 2
9360.2.da \(\chi_{9360}(1529, \cdot)\) None 0 2
9360.2.dc \(\chi_{9360}(6391, \cdot)\) None 0 2
9360.2.df \(\chi_{9360}(1711, \cdot)\) n/a 280 2
9360.2.dg \(\chi_{9360}(2107, \cdot)\) n/a 1440 2
9360.2.dh \(\chi_{9360}(6317, \cdot)\) n/a 1344 2
9360.2.dk \(\chi_{9360}(1637, \cdot)\) n/a 1344 2
9360.2.dl \(\chi_{9360}(6787, \cdot)\) n/a 1440 2
9360.2.dq \(\chi_{9360}(4627, \cdot)\) n/a 1672 2
9360.2.dr \(\chi_{9360}(3797, \cdot)\) n/a 1152 2
9360.2.du \(\chi_{9360}(53, \cdot)\) n/a 1152 2
9360.2.dv \(\chi_{9360}(883, \cdot)\) n/a 1672 2
9360.2.dx \(\chi_{9360}(4519, \cdot)\) None 0 2
9360.2.dy \(\chi_{9360}(1279, \cdot)\) n/a 420 2
9360.2.ea \(\chi_{9360}(161, \cdot)\) n/a 224 2
9360.2.ed \(\chi_{9360}(3401, \cdot)\) None 0 2
9360.2.ef \(\chi_{9360}(629, \cdot)\) n/a 1344 2
9360.2.eg \(\chi_{9360}(811, \cdot)\) n/a 1120 2
9360.2.ei \(\chi_{9360}(2287, \cdot)\) n/a 420 2
9360.2.el \(\chi_{9360}(5383, \cdot)\) None 0 2
9360.2.em \(\chi_{9360}(2393, \cdot)\) None 0 2
9360.2.ep \(\chi_{9360}(4913, \cdot)\) n/a 336 2
9360.2.eq \(\chi_{9360}(2501, \cdot)\) n/a 896 2
9360.2.et \(\chi_{9360}(2179, \cdot)\) n/a 1672 2
9360.2.eu \(\chi_{9360}(5507, \cdot)\) n/a 1344 2
9360.2.ew \(\chi_{9360}(2413, \cdot)\) n/a 1672 2
9360.2.ey \(\chi_{9360}(1691, \cdot)\) n/a 768 2
9360.2.fb \(\chi_{9360}(469, \cdot)\) n/a 1440 2
9360.2.fe \(\chi_{9360}(4103, \cdot)\) None 0 2
9360.2.ff \(\chi_{9360}(6193, \cdot)\) n/a 416 2
9360.2.fg \(\chi_{9360}(4607, \cdot)\) n/a 336 2
9360.2.fh \(\chi_{9360}(1513, \cdot)\) None 0 2
9360.2.fk \(\chi_{9360}(181, \cdot)\) n/a 1120 2
9360.2.fn \(\chi_{9360}(2339, \cdot)\) n/a 1344 2
9360.2.fp \(\chi_{9360}(7093, \cdot)\) n/a 1672 2
9360.2.fr \(\chi_{9360}(827, \cdot)\) n/a 1344 2
9360.2.ft \(\chi_{9360}(6361, \cdot)\) None 0 2
9360.2.fu \(\chi_{9360}(2279, \cdot)\) None 0 2
9360.2.fw \(\chi_{9360}(529, \cdot)\) n/a 1000 2
9360.2.fz \(\chi_{9360}(191, \cdot)\) n/a 672 2
9360.2.ga \(\chi_{9360}(959, \cdot)\) n/a 1008 2
9360.2.gd \(\chi_{9360}(1681, \cdot)\) n/a 672 2
9360.2.gf \(\chi_{9360}(4631, \cdot)\) None 0 2
9360.2.gg \(\chi_{9360}(1849, \cdot)\) None 0 2
9360.2.gj \(\chi_{9360}(5879, \cdot)\) None 0 2
9360.2.gk \(\chi_{9360}(601, \cdot)\) None 0 2
9360.2.gm \(\chi_{9360}(5711, \cdot)\) n/a 672 2
9360.2.gp \(\chi_{9360}(2929, \cdot)\) n/a 1000 2
9360.2.gq \(\chi_{9360}(311, \cdot)\) None 0 2
9360.2.gt \(\chi_{9360}(3769, \cdot)\) None 0 2
9360.2.gw \(\chi_{9360}(1439, \cdot)\) n/a 336 2
9360.2.gy \(\chi_{9360}(1369, \cdot)\) None 0 2
9360.2.gz \(\chi_{9360}(4391, \cdot)\) None 0 2
9360.2.hc \(\chi_{9360}(5279, \cdot)\) n/a 864 2
9360.2.hf \(\chi_{9360}(2209, \cdot)\) n/a 1000 2
9360.2.hg \(\chi_{9360}(4991, \cdot)\) n/a 672 2
9360.2.hj \(\chi_{9360}(6119, \cdot)\) None 0 2
9360.2.hk \(\chi_{9360}(3961, \cdot)\) None 0 2
9360.2.hm \(\chi_{9360}(2591, \cdot)\) n/a 224 2
9360.2.hp \(\chi_{9360}(3169, \cdot)\) n/a 416 2
9360.2.hq \(\chi_{9360}(1561, \cdot)\) None 0 2
9360.2.ht \(\chi_{9360}(599, \cdot)\) None 0 2
9360.2.hw \(\chi_{9360}(1199, \cdot)\) n/a 1008 2
9360.2.hy \(\chi_{9360}(1609, \cdot)\) None 0 2
9360.2.hz \(\chi_{9360}(1031, \cdot)\) None 0 2
9360.2.ic \(\chi_{9360}(3839, \cdot)\) n/a 1008 2
9360.2.id \(\chi_{9360}(4801, \cdot)\) n/a 672 2
9360.2.if \(\chi_{9360}(1751, \cdot)\) None 0 2
9360.2.ii \(\chi_{9360}(8089, \cdot)\) None 0 2
9360.2.ij \(\chi_{9360}(911, \cdot)\) n/a 576 2
9360.2.im \(\chi_{9360}(1249, \cdot)\) n/a 864 2
9360.2.in \(\chi_{9360}(361, \cdot)\) None 0 2
9360.2.iq \(\chi_{9360}(2519, \cdot)\) None 0 2
9360.2.is \(\chi_{9360}(289, \cdot)\) n/a 416 2
9360.2.it \(\chi_{9360}(3311, \cdot)\) n/a 224 2
9360.2.iw \(\chi_{9360}(1559, \cdot)\) None 0 2
9360.2.ix \(\chi_{9360}(5641, \cdot)\) None 0 2
9360.2.ja \(\chi_{9360}(5929, \cdot)\) None 0 2
9360.2.jb \(\chi_{9360}(2471, \cdot)\) None 0 2
9360.2.je \(\chi_{9360}(719, \cdot)\) n/a 336 2
9360.2.jf \(\chi_{9360}(5041, \cdot)\) n/a 280 2
9360.2.jh \(\chi_{9360}(1511, \cdot)\) None 0 2
9360.2.jk \(\chi_{9360}(2089, \cdot)\) None 0 2
9360.2.jl \(\chi_{9360}(961, \cdot)\) n/a 672 2
9360.2.jo \(\chi_{9360}(3119, \cdot)\) n/a 1008 2
9360.2.jp \(\chi_{9360}(121, \cdot)\) None 0 2
9360.2.js \(\chi_{9360}(8519, \cdot)\) None 0 2
9360.2.ju \(\chi_{9360}(3409, \cdot)\) n/a 1000 2
9360.2.jv \(\chi_{9360}(3071, \cdot)\) n/a 672 2
9360.2.jy \(\chi_{9360}(7439, \cdot)\) n/a 1008 2
9360.2.ka \(\chi_{9360}(4489, \cdot)\) None 0 2
9360.2.kd \(\chi_{9360}(4151, \cdot)\) None 0 2
9360.2.ke \(\chi_{9360}(2759, \cdot)\) None 0 2
9360.2.kh \(\chi_{9360}(3721, \cdot)\) None 0 2
9360.2.kj \(\chi_{9360}(2831, \cdot)\) n/a 672 2
9360.2.kk \(\chi_{9360}(49, \cdot)\) n/a 1000 2
9360.2.km \(\chi_{9360}(227, \cdot)\) n/a 8032 4
9360.2.ko \(\chi_{9360}(2173, \cdot)\) n/a 8032 4
9360.2.kq \(\chi_{9360}(61, \cdot)\) n/a 5376 4
9360.2.kt \(\chi_{9360}(419, \cdot)\) n/a 8032 4
9360.2.ku \(\chi_{9360}(3503, \cdot)\) n/a 2016 4
9360.2.kv \(\chi_{9360}(3577, \cdot)\) None 0 4
9360.2.la \(\chi_{9360}(167, \cdot)\) None 0 4
9360.2.lb \(\chi_{9360}(97, \cdot)\) n/a 2000 4
9360.2.lc \(\chi_{9360}(491, \cdot)\) n/a 5376 4
9360.2.lf \(\chi_{9360}(2149, \cdot)\) n/a 8032 4
9360.2.lh \(\chi_{9360}(1597, \cdot)\) n/a 8032 4
9360.2.lj \(\chi_{9360}(2243, \cdot)\) n/a 8032 4
9360.2.ll \(\chi_{9360}(2893, \cdot)\) n/a 8032 4
9360.2.ln \(\chi_{9360}(947, \cdot)\) n/a 8032 4
9360.2.lo \(\chi_{9360}(853, \cdot)\) n/a 8032 4
9360.2.lq \(\chi_{9360}(4427, \cdot)\) n/a 2688 4
9360.2.ls \(\chi_{9360}(1333, \cdot)\) n/a 3344 4
9360.2.lu \(\chi_{9360}(83, \cdot)\) n/a 8032 4
9360.2.lw \(\chi_{9360}(2029, \cdot)\) n/a 6912 4
9360.2.lz \(\chi_{9360}(131, \cdot)\) n/a 4608 4
9360.2.mb \(\chi_{9360}(1499, \cdot)\) n/a 8032 4
9360.2.md \(\chi_{9360}(179, \cdot)\) n/a 2688 4
9360.2.me \(\chi_{9360}(901, \cdot)\) n/a 2240 4
9360.2.mg \(\chi_{9360}(1141, \cdot)\) n/a 5376 4
9360.2.mi \(\chi_{9360}(817, \cdot)\) n/a 2000 4
9360.2.mj \(\chi_{9360}(1463, \cdot)\) None 0 4
9360.2.mm \(\chi_{9360}(697, \cdot)\) None 0 4
9360.2.mn \(\chi_{9360}(1487, \cdot)\) n/a 2016 4
9360.2.mq \(\chi_{9360}(1007, \cdot)\) n/a 672 4
9360.2.mr \(\chi_{9360}(2377, \cdot)\) None 0 4
9360.2.mw \(\chi_{9360}(1367, \cdot)\) None 0 4
9360.2.mx \(\chi_{9360}(2593, \cdot)\) n/a 832 4
9360.2.na \(\chi_{9360}(2257, \cdot)\) n/a 2000 4
9360.2.nb \(\chi_{9360}(983, \cdot)\) None 0 4
9360.2.ne \(\chi_{9360}(4153, \cdot)\) None 0 4
9360.2.nf \(\chi_{9360}(2927, \cdot)\) n/a 2016 4
9360.2.nh \(\chi_{9360}(1069, \cdot)\) n/a 8032 4
9360.2.nj \(\chi_{9360}(2629, \cdot)\) n/a 3344 4
9360.2.nk \(\chi_{9360}(971, \cdot)\) n/a 1792 4
9360.2.nm \(\chi_{9360}(731, \cdot)\) n/a 5376 4
9360.2.no \(\chi_{9360}(779, \cdot)\) n/a 8032 4
9360.2.nr \(\chi_{9360}(1741, \cdot)\) n/a 5376 4
9360.2.nt \(\chi_{9360}(1643, \cdot)\) n/a 8032 4
9360.2.nv \(\chi_{9360}(973, \cdot)\) n/a 3344 4
9360.2.nx \(\chi_{9360}(4067, \cdot)\) n/a 2688 4
9360.2.nz \(\chi_{9360}(5533, \cdot)\) n/a 8032 4
9360.2.oa \(\chi_{9360}(1523, \cdot)\) n/a 8032 4
9360.2.oc \(\chi_{9360}(877, \cdot)\) n/a 8032 4
9360.2.of \(\chi_{9360}(5501, \cdot)\) n/a 5376 4
9360.2.og \(\chi_{9360}(6259, \cdot)\) n/a 8032 4
9360.2.oi \(\chi_{9360}(367, \cdot)\) n/a 2016 4
9360.2.ol \(\chi_{9360}(823, \cdot)\) None 0 4
9360.2.om \(\chi_{9360}(4073, \cdot)\) None 0 4
9360.2.op \(\chi_{9360}(113, \cdot)\) n/a 2000 4
9360.2.oq \(\chi_{9360}(3629, \cdot)\) n/a 8032 4
9360.2.ot \(\chi_{9360}(691, \cdot)\) n/a 5376 4
9360.2.ou \(\chi_{9360}(749, \cdot)\) n/a 8032 4
9360.2.ox \(\chi_{9360}(931, \cdot)\) n/a 5376 4
9360.2.oz \(\chi_{9360}(379, \cdot)\) n/a 3344 4
9360.2.pb \(\chi_{9360}(6619, \cdot)\) n/a 8032 4
9360.2.pc \(\chi_{9360}(5141, \cdot)\) n/a 5376 4
9360.2.pe \(\chi_{9360}(3941, \cdot)\) n/a 1792 4
9360.2.pg \(\chi_{9360}(2263, \cdot)\) None 0 4
9360.2.pj \(\chi_{9360}(1663, \cdot)\) n/a 2016 4
9360.2.pk \(\chi_{9360}(17, \cdot)\) n/a 672 4
9360.2.pn \(\chi_{9360}(257, \cdot)\) n/a 2000 4
9360.2.po \(\chi_{9360}(2057, \cdot)\) None 0 4
9360.2.pr \(\chi_{9360}(1673, \cdot)\) None 0 4
9360.2.ps \(\chi_{9360}(1927, \cdot)\) None 0 4
9360.2.pv \(\chi_{9360}(2167, \cdot)\) None 0 4
9360.2.pw \(\chi_{9360}(2383, \cdot)\) n/a 2016 4
9360.2.pz \(\chi_{9360}(127, \cdot)\) n/a 840 4
9360.2.qa \(\chi_{9360}(1793, \cdot)\) n/a 2000 4
9360.2.qd \(\chi_{9360}(3017, \cdot)\) None 0 4
9360.2.qe \(\chi_{9360}(331, \cdot)\) n/a 5376 4
9360.2.qg \(\chi_{9360}(2251, \cdot)\) n/a 2240 4
9360.2.qj \(\chi_{9360}(2069, \cdot)\) n/a 2688 4
9360.2.ql \(\chi_{9360}(3269, \cdot)\) n/a 8032 4
9360.2.qn \(\chi_{9360}(2621, \cdot)\) n/a 5376 4
9360.2.qo \(\chi_{9360}(2059, \cdot)\) n/a 8032 4
9360.2.qr \(\chi_{9360}(31, \cdot)\) n/a 1344 4
9360.2.qs \(\chi_{9360}(151, \cdot)\) None 0 4
9360.2.qu \(\chi_{9360}(4649, \cdot)\) None 0 4
9360.2.qx \(\chi_{9360}(1409, \cdot)\) n/a 2000 4
9360.2.qy \(\chi_{9360}(799, \cdot)\) n/a 2016 4
9360.2.rb \(\chi_{9360}(1879, \cdot)\) None 0 4
9360.2.rc \(\chi_{9360}(3521, \cdot)\) n/a 1344 4
9360.2.rf \(\chi_{9360}(1241, \cdot)\) None 0 4
9360.2.rg \(\chi_{9360}(1601, \cdot)\) n/a 448 4
9360.2.rj \(\chi_{9360}(761, \cdot)\) None 0 4
9360.2.rl \(\chi_{9360}(1159, \cdot)\) None 0 4
9360.2.rm \(\chi_{9360}(2719, \cdot)\) n/a 840 4
9360.2.rp \(\chi_{9360}(2359, \cdot)\) None 0 4
9360.2.rq \(\chi_{9360}(319, \cdot)\) n/a 2016 4
9360.2.rt \(\chi_{9360}(41, \cdot)\) None 0 4
9360.2.ru \(\chi_{9360}(401, \cdot)\) n/a 1344 4
9360.2.ry \(\chi_{9360}(523, \cdot)\) n/a 3344 4
9360.2.rz \(\chi_{9360}(413, \cdot)\) n/a 2688 4
9360.2.sc \(\chi_{9360}(4157, \cdot)\) n/a 2688 4
9360.2.sd \(\chi_{9360}(1387, \cdot)\) n/a 3344 4
9360.2.se \(\chi_{9360}(677, \cdot)\) n/a 6912 4
9360.2.sf \(\chi_{9360}(1507, \cdot)\) n/a 8032 4
9360.2.sk \(\chi_{9360}(907, \cdot)\) n/a 8032 4
9360.2.sl \(\chi_{9360}(1517, \cdot)\) n/a 8032 4
9360.2.so \(\chi_{9360}(4397, \cdot)\) n/a 8032 4
9360.2.sp \(\chi_{9360}(3787, \cdot)\) n/a 8032 4
9360.2.ss \(\chi_{9360}(2837, \cdot)\) n/a 8032 4
9360.2.st \(\chi_{9360}(2227, \cdot)\) n/a 8032 4
9360.2.sw \(\chi_{9360}(43, \cdot)\) n/a 8032 4
9360.2.sx \(\chi_{9360}(653, \cdot)\) n/a 8032 4
9360.2.sy \(\chi_{9360}(3067, \cdot)\) n/a 8032 4
9360.2.sz \(\chi_{9360}(2237, \cdot)\) n/a 6912 4
9360.2.te \(\chi_{9360}(77, \cdot)\) n/a 8032 4
9360.2.tf \(\chi_{9360}(5227, \cdot)\) n/a 6912 4
9360.2.tg \(\chi_{9360}(173, \cdot)\) n/a 8032 4
9360.2.th \(\chi_{9360}(763, \cdot)\) n/a 8032 4
9360.2.tk \(\chi_{9360}(2707, \cdot)\) n/a 8032 4
9360.2.tl \(\chi_{9360}(5477, \cdot)\) n/a 8032 4
9360.2.to \(\chi_{9360}(1147, \cdot)\) n/a 8032 4
9360.2.tp \(\chi_{9360}(3917, \cdot)\) n/a 8032 4
9360.2.ts \(\chi_{9360}(797, \cdot)\) n/a 8032 4
9360.2.tt \(\chi_{9360}(7387, \cdot)\) n/a 8032 4
9360.2.ty \(\chi_{9360}(547, \cdot)\) n/a 6912 4
9360.2.tz \(\chi_{9360}(4757, \cdot)\) n/a 8032 4
9360.2.ua \(\chi_{9360}(667, \cdot)\) n/a 3344 4
9360.2.ub \(\chi_{9360}(1277, \cdot)\) n/a 2688 4
9360.2.ue \(\chi_{9360}(3077, \cdot)\) n/a 2688 4
9360.2.uf \(\chi_{9360}(2467, \cdot)\) n/a 3344 4
9360.2.ui \(\chi_{9360}(2009, \cdot)\) None 0 4
9360.2.ul \(\chi_{9360}(929, \cdot)\) n/a 2000 4
9360.2.um \(\chi_{9360}(1111, \cdot)\) None 0 4
9360.2.up \(\chi_{9360}(271, \cdot)\) n/a 560 4
9360.2.uq \(\chi_{9360}(631, \cdot)\) None 0 4
9360.2.ut \(\chi_{9360}(2191, \cdot)\) n/a 1344 4
9360.2.uv \(\chi_{9360}(1649, \cdot)\) n/a 2000 4
9360.2.uw \(\chi_{9360}(89, \cdot)\) None 0 4
9360.2.uz \(\chi_{9360}(449, \cdot)\) n/a 672 4
9360.2.va \(\chi_{9360}(1289, \cdot)\) None 0 4
9360.2.vd \(\chi_{9360}(1471, \cdot)\) n/a 1344 4
9360.2.ve \(\chi_{9360}(1831, \cdot)\) None 0 4
9360.2.vh \(\chi_{9360}(281, \cdot)\) None 0 4
9360.2.vi \(\chi_{9360}(1841, \cdot)\) n/a 1344 4
9360.2.vk \(\chi_{9360}(2959, \cdot)\) n/a 2016 4
9360.2.vn \(\chi_{9360}(1399, \cdot)\) None 0 4
9360.2.vp \(\chi_{9360}(2371, \cdot)\) n/a 5376 4
9360.2.vq \(\chi_{9360}(2189, \cdot)\) n/a 8032 4
9360.2.vs \(\chi_{9360}(461, \cdot)\) n/a 5376 4
9360.2.vu \(\chi_{9360}(3581, \cdot)\) n/a 1792 4
9360.2.vx \(\chi_{9360}(19, \cdot)\) n/a 3344 4
9360.2.vz \(\chi_{9360}(1939, \cdot)\) n/a 8032 4
9360.2.wb \(\chi_{9360}(833, \cdot)\) n/a 1728 4
9360.2.wc \(\chi_{9360}(857, \cdot)\) None 0 4
9360.2.we \(\chi_{9360}(1447, \cdot)\) None 0 4
9360.2.wh \(\chi_{9360}(1063, \cdot)\) None 0 4
9360.2.wi \(\chi_{9360}(2863, \cdot)\) n/a 840 4
9360.2.wl \(\chi_{9360}(3103, \cdot)\) n/a 2016 4
9360.2.wm \(\chi_{9360}(2993, \cdot)\) n/a 2000 4
9360.2.wp \(\chi_{9360}(737, \cdot)\) n/a 672 4
9360.2.wq \(\chi_{9360}(953, \cdot)\) None 0 4
9360.2.wt \(\chi_{9360}(1193, \cdot)\) None 0 4
9360.2.wv \(\chi_{9360}(103, \cdot)\) None 0 4
9360.2.ww \(\chi_{9360}(1327, \cdot)\) n/a 1728 4
9360.2.wz \(\chi_{9360}(1709, \cdot)\) n/a 2688 4
9360.2.xb \(\chi_{9360}(509, \cdot)\) n/a 8032 4
9360.2.xc \(\chi_{9360}(3811, \cdot)\) n/a 5376 4
9360.2.xe \(\chi_{9360}(1891, \cdot)\) n/a 2240 4
9360.2.xg \(\chi_{9360}(499, \cdot)\) n/a 8032 4
9360.2.xj \(\chi_{9360}(941, \cdot)\) n/a 5376 4
9360.2.xk \(\chi_{9360}(1579, \cdot)\) n/a 8032 4
9360.2.xn \(\chi_{9360}(821, \cdot)\) n/a 5376 4
9360.2.xp \(\chi_{9360}(1433, \cdot)\) None 0 4
9360.2.xq \(\chi_{9360}(3137, \cdot)\) n/a 2000 4
9360.2.xt \(\chi_{9360}(3247, \cdot)\) n/a 2016 4
9360.2.xu \(\chi_{9360}(1303, \cdot)\) None 0 4
9360.2.xx \(\chi_{9360}(3451, \cdot)\) n/a 5376 4
9360.2.xy \(\chi_{9360}(149, \cdot)\) n/a 8032 4
9360.2.ya \(\chi_{9360}(1813, \cdot)\) n/a 8032 4
9360.2.yc \(\chi_{9360}(587, \cdot)\) n/a 8032 4
9360.2.yf \(\chi_{9360}(733, \cdot)\) n/a 8032 4
9360.2.yh \(\chi_{9360}(683, \cdot)\) n/a 2688 4
9360.2.yj \(\chi_{9360}(37, \cdot)\) n/a 3344 4
9360.2.yl \(\chi_{9360}(203, \cdot)\) n/a 8032 4
9360.2.yn \(\chi_{9360}(1429, \cdot)\) n/a 8032 4
9360.2.yo \(\chi_{9360}(1091, \cdot)\) n/a 5376 4
9360.2.yq \(\chi_{9360}(1979, \cdot)\) n/a 2688 4
9360.2.ys \(\chi_{9360}(2219, \cdot)\) n/a 8032 4
9360.2.yv \(\chi_{9360}(2941, \cdot)\) n/a 5376 4
9360.2.yx \(\chi_{9360}(1621, \cdot)\) n/a 2240 4
9360.2.za \(\chi_{9360}(3287, \cdot)\) None 0 4
9360.2.zb \(\chi_{9360}(3217, \cdot)\) n/a 2000 4
9360.2.ze \(\chi_{9360}(1657, \cdot)\) None 0 4
9360.2.zf \(\chi_{9360}(1727, \cdot)\) n/a 672 4
9360.2.zi \(\chi_{9360}(47, \cdot)\) n/a 2016 4
9360.2.zj \(\chi_{9360}(2137, \cdot)\) None 0 4
9360.2.zk \(\chi_{9360}(1607, \cdot)\) None 0 4
9360.2.zl \(\chi_{9360}(1633, \cdot)\) n/a 2000 4
9360.2.zo \(\chi_{9360}(2017, \cdot)\) n/a 832 4
9360.2.zp \(\chi_{9360}(1943, \cdot)\) None 0 4
9360.2.zs \(\chi_{9360}(383, \cdot)\) n/a 2016 4
9360.2.zt \(\chi_{9360}(457, \cdot)\) None 0 4
9360.2.zw \(\chi_{9360}(829, \cdot)\) n/a 3344 4
9360.2.zy \(\chi_{9360}(589, \cdot)\) n/a 8032 4
9360.2.bab \(\chi_{9360}(3371, \cdot)\) n/a 5376 4
9360.2.bad \(\chi_{9360}(251, \cdot)\) n/a 1792 4
9360.2.baf \(\chi_{9360}(1379, \cdot)\) n/a 6912 4
9360.2.bag \(\chi_{9360}(781, \cdot)\) n/a 4608 4
9360.2.bai \(\chi_{9360}(4883, \cdot)\) n/a 8032 4
9360.2.bak \(\chi_{9360}(397, \cdot)\) n/a 3344 4
9360.2.bam \(\chi_{9360}(323, \cdot)\) n/a 2688 4
9360.2.bao \(\chi_{9360}(2293, \cdot)\) n/a 8032 4
9360.2.bar \(\chi_{9360}(1883, \cdot)\) n/a 8032 4
9360.2.bat \(\chi_{9360}(1957, \cdot)\) n/a 8032 4
9360.2.bav \(\chi_{9360}(1307, \cdot)\) n/a 8032 4
9360.2.bax \(\chi_{9360}(2533, \cdot)\) n/a 8032 4
9360.2.baz \(\chi_{9360}(4021, \cdot)\) n/a 5376 4
9360.2.bba \(\chi_{9360}(3299, \cdot)\) n/a 8032 4
9360.2.bbe \(\chi_{9360}(1033, \cdot)\) None 0 4
9360.2.bbf \(\chi_{9360}(1103, \cdot)\) n/a 2016 4
9360.2.bbg \(\chi_{9360}(3937, \cdot)\) n/a 2000 4
9360.2.bbh \(\chi_{9360}(2567, \cdot)\) None 0 4
9360.2.bbl \(\chi_{9360}(2291, \cdot)\) n/a 5376 4
9360.2.bbm \(\chi_{9360}(2869, \cdot)\) n/a 8032 4
9360.2.bbo \(\chi_{9360}(1237, \cdot)\) n/a 8032 4
9360.2.bbq \(\chi_{9360}(1163, \cdot)\) n/a 8032 4

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(9360))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(9360)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(13))\)\(^{\oplus 30}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(15))\)\(^{\oplus 20}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(16))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(18))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(20))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(24))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(26))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(30))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(36))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(39))\)\(^{\oplus 20}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(40))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(45))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(48))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(52))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(60))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(65))\)\(^{\oplus 15}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(72))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(78))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(80))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(90))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(104))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(117))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(120))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(130))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(144))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(156))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(180))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(195))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(208))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(234))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(240))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(260))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(312))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(360))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(390))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(468))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(520))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(585))\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(624))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(720))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(780))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(936))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1040))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1170))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1560))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1872))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2340))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(3120))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(4680))\)\(^{\oplus 2}\)