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Properties

Label 35280.2
Level 35280
Weight 2
Dimension 12724466
Nonzero newspaces 280
Sturm bound 130056192

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Defining parameters

Level: \( N \) = \( 35280 = 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 280 \)
Sturm bound: \(130056192\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(35280))\).

Total New Old
Modular forms 32621568 12748036 19873532
Cusp forms 32406529 12724466 19682063
Eisenstein series 215039 23570 191469

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(35280))\)

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
35280.2.a \(\chi_{35280}(1, \cdot)\) 35280.2.a.a 1 1
35280.2.a.b 1
35280.2.a.c 1
35280.2.a.d 1
35280.2.a.e 1
35280.2.a.f 1
35280.2.a.g 1
35280.2.a.h 1
35280.2.a.i 1
35280.2.a.j 1
35280.2.a.k 1
35280.2.a.l 1
35280.2.a.m 1
35280.2.a.n 1
35280.2.a.o 1
35280.2.a.p 1
35280.2.a.q 1
35280.2.a.r 1
35280.2.a.s 1
35280.2.a.t 1
35280.2.a.u 1
35280.2.a.v 1
35280.2.a.w 1
35280.2.a.x 1
35280.2.a.y 1
35280.2.a.z 1
35280.2.a.ba 1
35280.2.a.bb 1
35280.2.a.bc 1
35280.2.a.bd 1
35280.2.a.be 1
35280.2.a.bf 1
35280.2.a.bg 1
35280.2.a.bh 1
35280.2.a.bi 1
35280.2.a.bj 1
35280.2.a.bk 1
35280.2.a.bl 1
35280.2.a.bm 1
35280.2.a.bn 1
35280.2.a.bo 1
35280.2.a.bp 1
35280.2.a.bq 1
35280.2.a.br 1
35280.2.a.bs 1
35280.2.a.bt 1
35280.2.a.bu 1
35280.2.a.bv 1
35280.2.a.bw 1
35280.2.a.bx 1
35280.2.a.by 1
35280.2.a.bz 1
35280.2.a.ca 1
35280.2.a.cb 1
35280.2.a.cc 1
35280.2.a.cd 1
35280.2.a.ce 1
35280.2.a.cf 1
35280.2.a.cg 1
35280.2.a.ch 1
35280.2.a.ci 1
35280.2.a.cj 1
35280.2.a.ck 1
35280.2.a.cl 1
35280.2.a.cm 1
35280.2.a.cn 1
35280.2.a.co 1
35280.2.a.cp 1
35280.2.a.cq 1
35280.2.a.cr 1
35280.2.a.cs 1
35280.2.a.ct 1
35280.2.a.cu 1
35280.2.a.cv 1
35280.2.a.cw 1
35280.2.a.cx 1
35280.2.a.cy 1
35280.2.a.cz 1
35280.2.a.da 1
35280.2.a.db 1
35280.2.a.dc 1
35280.2.a.dd 1
35280.2.a.de 1
35280.2.a.df 1
35280.2.a.dg 1
35280.2.a.dh 1
35280.2.a.di 1
35280.2.a.dj 1
35280.2.a.dk 1
35280.2.a.dl 1
35280.2.a.dm 1
35280.2.a.dn 1
35280.2.a.do 1
35280.2.a.dp 1
35280.2.a.dq 1
35280.2.a.dr 1
35280.2.a.ds 1
35280.2.a.dt 1
35280.2.a.du 1
35280.2.a.dv 1
35280.2.a.dw 1
35280.2.a.dx 1
35280.2.a.dy 1
35280.2.a.dz 1
35280.2.a.ea 1
35280.2.a.eb 1
35280.2.a.ec 1
35280.2.a.ed 1
35280.2.a.ee 1
35280.2.a.ef 1
35280.2.a.eg 1
35280.2.a.eh 1
35280.2.a.ei 1
35280.2.a.ej 1
35280.2.a.ek 1
35280.2.a.el 1
35280.2.a.em 1
35280.2.a.en 1
35280.2.a.eo 1
35280.2.a.ep 1
35280.2.a.eq 1
35280.2.a.er 1
35280.2.a.es 1
35280.2.a.et 1
35280.2.a.eu 1
35280.2.a.ev 1
35280.2.a.ew 1
35280.2.a.ex 1
35280.2.a.ey 1
35280.2.a.ez 1
35280.2.a.fa 1
35280.2.a.fb 1
35280.2.a.fc 1
35280.2.a.fd 1
35280.2.a.fe 1
35280.2.a.ff 1
35280.2.a.fg 1
35280.2.a.fh 1
35280.2.a.fi 1
35280.2.a.fj 1
35280.2.a.fk 1
35280.2.a.fl 1
35280.2.a.fm 1
35280.2.a.fn 1
35280.2.a.fo 1
35280.2.a.fp 1
35280.2.a.fq 1
35280.2.a.fr 1
35280.2.a.fs 1
35280.2.a.ft 1
35280.2.a.fu 1
35280.2.a.fv 1
35280.2.a.fw 1
35280.2.a.fx 1
35280.2.a.fy 2
35280.2.a.fz 2
35280.2.a.ga 2
35280.2.a.gb 2
35280.2.a.gc 2
35280.2.a.gd 2
35280.2.a.ge 2
35280.2.a.gf 2
35280.2.a.gg 2
35280.2.a.gh 2
35280.2.a.gi 2
35280.2.a.gj 2
35280.2.a.gk 2
35280.2.a.gl 2
35280.2.a.gm 2
35280.2.a.gn 2
35280.2.a.go 2
35280.2.a.gp 2
35280.2.a.gq 2
35280.2.a.gr 2
35280.2.a.gs 2
35280.2.a.gt 2
35280.2.a.gu 2
35280.2.a.gv 2
35280.2.a.gw 2
35280.2.a.gx 2
35280.2.a.gy 2
35280.2.a.gz 2
35280.2.a.ha 2
35280.2.a.hb 2
35280.2.a.hc 2
35280.2.a.hd 2
35280.2.a.he 2
35280.2.a.hf 2
35280.2.a.hg 2
35280.2.a.hh 2
35280.2.a.hi 2
35280.2.a.hj 2
35280.2.a.hk 2
35280.2.a.hl 2
35280.2.a.hm 2
35280.2.a.hn 2
35280.2.a.ho 2
35280.2.a.hp 2
35280.2.a.hq 2
35280.2.a.hr 2
35280.2.a.hs 2
35280.2.a.ht 2
35280.2.a.hu 2
35280.2.a.hv 2
35280.2.a.hw 2
35280.2.a.hx 2
35280.2.a.hy 2
35280.2.a.hz 2
35280.2.a.ia 2
35280.2.a.ib 2
35280.2.a.ic 2
35280.2.a.id 2
35280.2.a.ie 2
35280.2.a.if 3
35280.2.a.ig 3
35280.2.a.ih 3
35280.2.a.ii 3
35280.2.a.ij 3
35280.2.a.ik 3
35280.2.a.il 3
35280.2.a.im 3
35280.2.a.in 3
35280.2.a.io 3
35280.2.a.ip 3
35280.2.a.iq 3
35280.2.a.ir 3
35280.2.a.is 3
35280.2.a.it 3
35280.2.a.iu 3
35280.2.a.iv 3
35280.2.a.iw 3
35280.2.a.ix 4
35280.2.a.iy 4
35280.2.a.iz 4
35280.2.a.ja 4
35280.2.a.jb 4
35280.2.a.jc 4
35280.2.a.jd 4
35280.2.a.je 4
35280.2.a.jf 4
35280.2.a.jg 4
35280.2.a.jh 4
35280.2.a.ji 4
35280.2.a.jj 4
35280.2.a.jk 4
35280.2.a.jl 4
35280.2.a.jm 4
35280.2.a.jn 5
35280.2.a.jo 5
35280.2.a.jp 5
35280.2.a.jq 5
35280.2.d \(\chi_{35280}(29791, \cdot)\) n/a 400 1
35280.2.f \(\chi_{35280}(881, \cdot)\) n/a 320 1
35280.2.k \(\chi_{35280}(22049, \cdot)\) n/a 480 1
35280.2.q \(\chi_{35280}(15679, \cdot)\) n/a 600 1
35280.2.t \(\chi_{35280}(21169, \cdot)\) n/a 610 1
35280.2.v \(\chi_{35280}(18719, \cdot)\) n/a 492 1
35280.2.ba \(\chi_{35280}(32831, \cdot)\) n/a 328 1
35280.2.bg \(\chi_{35280}(12721, \cdot)\) n/a 1920 2
35280.2.bh \(\chi_{35280}(11761, \cdot)\) n/a 1968 2
35280.2.bi \(\chi_{35280}(18001, \cdot)\) n/a 800 2
35280.2.bj \(\chi_{35280}(961, \cdot)\) n/a 1920 2
35280.2.bn \(\chi_{35280}(26657, \cdot)\) n/a 984 2
35280.2.bo \(\chi_{35280}(20287, \cdot)\) n/a 1230 2
35280.2.bs \(\chi_{35280}(883, \cdot)\) n/a 4900 2
35280.2.bv \(\chi_{35280}(4213, \cdot)\) n/a 4784 2
35280.2.bx \(\chi_{35280}(197, \cdot)\) n/a 3936 2
35280.2.by \(\chi_{35280}(19403, \cdot)\) n/a 3840 2
35280.2.ca \(\chi_{35280}(13229, \cdot)\) n/a 3840 2
35280.2.cd \(\chi_{35280}(6371, \cdot)\) n/a 2624 2
35280.2.ce \(\chi_{35280}(12349, \cdot)\) n/a 4900 2
35280.2.ch \(\chi_{35280}(3331, \cdot)\) n/a 3200 2
35280.2.cj \(\chi_{35280}(8821, \cdot)\) n/a 3280 2
35280.2.ck \(\chi_{35280}(6859, \cdot)\) n/a 4784 2
35280.2.cn \(\chi_{35280}(9701, \cdot)\) n/a 2560 2
35280.2.co \(\chi_{35280}(9899, \cdot)\) n/a 3936 2
35280.2.cr \(\chi_{35280}(21853, \cdot)\) n/a 4784 2
35280.2.cs \(\chi_{35280}(18523, \cdot)\) n/a 4900 2
35280.2.cu \(\chi_{35280}(1763, \cdot)\) n/a 3840 2
35280.2.cx \(\chi_{35280}(7253, \cdot)\) n/a 3936 2
35280.2.db \(\chi_{35280}(21167, \cdot)\) n/a 960 2
35280.2.dc \(\chi_{35280}(23617, \cdot)\) n/a 1192 2
35280.2.dh \(\chi_{35280}(2959, \cdot)\) n/a 2880 2
35280.2.dn \(\chi_{35280}(15809, \cdot)\) n/a 2864 2
35280.2.dq \(\chi_{35280}(29921, \cdot)\) n/a 1920 2
35280.2.ds \(\chi_{35280}(31, \cdot)\) n/a 1920 2
35280.2.dz \(\chi_{35280}(1439, \cdot)\) n/a 960 2
35280.2.eb \(\chi_{35280}(3889, \cdot)\) n/a 1192 2
35280.2.ee \(\chi_{35280}(9311, \cdot)\) n/a 1968 2
35280.2.en \(\chi_{35280}(3791, \cdot)\) n/a 1920 2
35280.2.ev \(\chi_{35280}(9409, \cdot)\) n/a 2932 2
35280.2.ez \(\chi_{35280}(19679, \cdot)\) n/a 2880 2
35280.2.fb \(\chi_{35280}(15649, \cdot)\) n/a 2864 2
35280.2.ff \(\chi_{35280}(6959, \cdot)\) n/a 2952 2
35280.2.fn \(\chi_{35280}(15551, \cdot)\) n/a 640 2
35280.2.fs \(\chi_{35280}(11681, \cdot)\) n/a 640 2
35280.2.fu \(\chi_{35280}(5311, \cdot)\) n/a 800 2
35280.2.fx \(\chi_{35280}(10289, \cdot)\) n/a 2864 2
35280.2.gb \(\chi_{35280}(9439, \cdot)\) n/a 2880 2
35280.2.gh \(\chi_{35280}(9329, \cdot)\) n/a 2864 2
35280.2.gl \(\chi_{35280}(3919, \cdot)\) n/a 2880 2
35280.2.gq \(\chi_{35280}(6271, \cdot)\) n/a 1920 2
35280.2.gu \(\chi_{35280}(6401, \cdot)\) n/a 1920 2
35280.2.gw \(\chi_{35280}(23551, \cdot)\) n/a 1920 2
35280.2.ha \(\chi_{35280}(12641, \cdot)\) n/a 1920 2
35280.2.hd \(\chi_{35280}(26479, \cdot)\) n/a 1200 2
35280.2.hj \(\chi_{35280}(4049, \cdot)\) n/a 960 2
35280.2.hr \(\chi_{35280}(10271, \cdot)\) n/a 1920 2
35280.2.hu \(\chi_{35280}(13199, \cdot)\) n/a 2880 2
35280.2.hw \(\chi_{35280}(22129, \cdot)\) n/a 2864 2
35280.2.ia \(\chi_{35280}(5041, \cdot)\) n/a 3360 6
35280.2.ie \(\chi_{35280}(21247, \cdot)\) n/a 5760 4
35280.2.if \(\chi_{35280}(4097, \cdot)\) n/a 5728 4
35280.2.ij \(\chi_{35280}(4703, \cdot)\) n/a 5760 4
35280.2.io \(\chi_{35280}(5617, \cdot)\) n/a 2384 4
35280.2.ir \(\chi_{35280}(17377, \cdot)\) n/a 5728 4
35280.2.iy \(\chi_{35280}(8447, \cdot)\) n/a 5760 4
35280.2.jb \(\chi_{35280}(3167, \cdot)\) n/a 1920 4
35280.2.jg \(\chi_{35280}(97, \cdot)\) n/a 5728 4
35280.2.jh \(\chi_{35280}(1403, \cdot)\) n/a 7680 4
35280.2.jk \(\chi_{35280}(7613, \cdot)\) n/a 7680 4
35280.2.jm \(\chi_{35280}(15013, \cdot)\) n/a 9568 4
35280.2.jn \(\chi_{35280}(667, \cdot)\) n/a 9568 4
35280.2.jq \(\chi_{35280}(6547, \cdot)\) n/a 22976 4
35280.2.jr \(\chi_{35280}(15613, \cdot)\) n/a 22976 4
35280.2.ju \(\chi_{35280}(587, \cdot)\) n/a 22976 4
35280.2.jv \(\chi_{35280}(1733, \cdot)\) n/a 22976 4
35280.2.jy \(\chi_{35280}(803, \cdot)\) n/a 22976 4
35280.2.jz \(\chi_{35280}(6077, \cdot)\) n/a 23536 4
35280.2.kb \(\chi_{35280}(8917, \cdot)\) n/a 22976 4
35280.2.ke \(\chi_{35280}(67, \cdot)\) n/a 22976 4
35280.2.kf \(\chi_{35280}(2677, \cdot)\) n/a 22976 4
35280.2.ki \(\chi_{35280}(5587, \cdot)\) n/a 23536 4
35280.2.kj \(\chi_{35280}(8213, \cdot)\) n/a 22976 4
35280.2.km \(\chi_{35280}(7283, \cdot)\) n/a 22976 4
35280.2.kn \(\chi_{35280}(9211, \cdot)\) n/a 15360 4
35280.2.kq \(\chi_{35280}(589, \cdot)\) n/a 23536 4
35280.2.kr \(\chi_{35280}(491, \cdot)\) n/a 15744 4
35280.2.ku \(\chi_{35280}(1469, \cdot)\) n/a 22976 4
35280.2.kw \(\chi_{35280}(11779, \cdot)\) n/a 22976 4
35280.2.kx \(\chi_{35280}(9781, \cdot)\) n/a 15360 4
35280.2.kz \(\chi_{35280}(10859, \cdot)\) n/a 22976 4
35280.2.lc \(\chi_{35280}(14621, \cdot)\) n/a 15360 4
35280.2.ld \(\chi_{35280}(2861, \cdot)\) n/a 5120 4
35280.2.lg \(\chi_{35280}(10259, \cdot)\) n/a 7680 4
35280.2.lh \(\chi_{35280}(9181, \cdot)\) n/a 6400 4
35280.2.lk \(\chi_{35280}(19, \cdot)\) n/a 9568 4
35280.2.ll \(\chi_{35280}(619, \cdot)\) n/a 22976 4
35280.2.lo \(\chi_{35280}(3301, \cdot)\) n/a 15360 4
35280.2.lq \(\chi_{35280}(4379, \cdot)\) n/a 22976 4
35280.2.lr \(\chi_{35280}(3461, \cdot)\) n/a 15360 4
35280.2.lt \(\chi_{35280}(851, \cdot)\) n/a 15360 4
35280.2.lw \(\chi_{35280}(6989, \cdot)\) n/a 22976 4
35280.2.ly \(\chi_{35280}(1549, \cdot)\) n/a 9568 4
35280.2.lz \(\chi_{35280}(2971, \cdot)\) n/a 6400 4
35280.2.mc \(\chi_{35280}(2371, \cdot)\) n/a 15360 4
35280.2.md \(\chi_{35280}(6829, \cdot)\) n/a 22976 4
35280.2.mg \(\chi_{35280}(7331, \cdot)\) n/a 15360 4
35280.2.mh \(\chi_{35280}(509, \cdot)\) n/a 22976 4
35280.2.mk \(\chi_{35280}(6389, \cdot)\) n/a 7680 4
35280.2.ml \(\chi_{35280}(6731, \cdot)\) n/a 5120 4
35280.2.mn \(\chi_{35280}(8251, \cdot)\) n/a 15360 4
35280.2.mq \(\chi_{35280}(949, \cdot)\) n/a 22976 4
35280.2.ms \(\chi_{35280}(4019, \cdot)\) n/a 23536 4
35280.2.mt \(\chi_{35280}(3821, \cdot)\) n/a 15360 4
35280.2.mw \(\chi_{35280}(979, \cdot)\) n/a 22976 4
35280.2.mx \(\chi_{35280}(2941, \cdot)\) n/a 15744 4
35280.2.mz \(\chi_{35280}(3253, \cdot)\) n/a 22976 4
35280.2.nc \(\chi_{35280}(5947, \cdot)\) n/a 22976 4
35280.2.nd \(\chi_{35280}(1373, \cdot)\) n/a 23536 4
35280.2.ng \(\chi_{35280}(13163, \cdot)\) n/a 22976 4
35280.2.nh \(\chi_{35280}(2333, \cdot)\) n/a 22976 4
35280.2.nk \(\chi_{35280}(6467, \cdot)\) n/a 22976 4
35280.2.nm \(\chi_{35280}(12643, \cdot)\) n/a 23536 4
35280.2.nn \(\chi_{35280}(2077, \cdot)\) n/a 22976 4
35280.2.nq \(\chi_{35280}(1843, \cdot)\) n/a 22976 4
35280.2.nr \(\chi_{35280}(3037, \cdot)\) n/a 22976 4
35280.2.nu \(\chi_{35280}(227, \cdot)\) n/a 22976 4
35280.2.nv \(\chi_{35280}(1157, \cdot)\) n/a 22976 4
35280.2.ny \(\chi_{35280}(557, \cdot)\) n/a 7680 4
35280.2.nz \(\chi_{35280}(12563, \cdot)\) n/a 7680 4
35280.2.ob \(\chi_{35280}(1243, \cdot)\) n/a 9568 4
35280.2.oe \(\chi_{35280}(3853, \cdot)\) n/a 9568 4
35280.2.of \(\chi_{35280}(3137, \cdot)\) n/a 5864 4
35280.2.ok \(\chi_{35280}(3007, \cdot)\) n/a 2400 4
35280.2.on \(\chi_{35280}(4783, \cdot)\) n/a 5760 4
35280.2.ou \(\chi_{35280}(4673, \cdot)\) n/a 5728 4
35280.2.ox \(\chi_{35280}(9377, \cdot)\) n/a 1920 4
35280.2.pc \(\chi_{35280}(3823, \cdot)\) n/a 5904 4
35280.2.pg \(\chi_{35280}(913, \cdot)\) n/a 5728 4
35280.2.ph \(\chi_{35280}(14927, \cdot)\) n/a 5760 4
35280.2.po \(\chi_{35280}(2591, \cdot)\) n/a 2688 6
35280.2.pt \(\chi_{35280}(3599, \cdot)\) n/a 4032 6
35280.2.pz \(\chi_{35280}(1009, \cdot)\) n/a 5028 6
35280.2.qc \(\chi_{35280}(559, \cdot)\) n/a 5040 6
35280.2.qe \(\chi_{35280}(1889, \cdot)\) n/a 4032 6
35280.2.qj \(\chi_{35280}(5921, \cdot)\) n/a 2688 6
35280.2.qp \(\chi_{35280}(4591, \cdot)\) n/a 3360 6
35280.2.qq \(\chi_{35280}(1201, \cdot)\) n/a 16128 12
35280.2.qr \(\chi_{35280}(2881, \cdot)\) n/a 6720 12
35280.2.qs \(\chi_{35280}(1681, \cdot)\) n/a 16128 12
35280.2.qt \(\chi_{35280}(2641, \cdot)\) n/a 16128 12
35280.2.qv \(\chi_{35280}(1007, \cdot)\) n/a 8064 12
35280.2.ra \(\chi_{35280}(433, \cdot)\) n/a 10056 12
35280.2.rd \(\chi_{35280}(3403, \cdot)\) n/a 40272 12
35280.2.re \(\chi_{35280}(1693, \cdot)\) n/a 40272 12
35280.2.rg \(\chi_{35280}(2213, \cdot)\) n/a 32256 12
35280.2.rj \(\chi_{35280}(2267, \cdot)\) n/a 32256 12
35280.2.rl \(\chi_{35280}(2339, \cdot)\) n/a 32256 12
35280.2.rm \(\chi_{35280}(2141, \cdot)\) n/a 21504 12
35280.2.rp \(\chi_{35280}(1819, \cdot)\) n/a 40272 12
35280.2.rq \(\chi_{35280}(1261, \cdot)\) n/a 26880 12
35280.2.rs \(\chi_{35280}(811, \cdot)\) n/a 26880 12
35280.2.rv \(\chi_{35280}(2269, \cdot)\) n/a 40272 12
35280.2.rw \(\chi_{35280}(1331, \cdot)\) n/a 21504 12
35280.2.rz \(\chi_{35280}(629, \cdot)\) n/a 32256 12
35280.2.sa \(\chi_{35280}(4717, \cdot)\) n/a 40272 12
35280.2.sd \(\chi_{35280}(1387, \cdot)\) n/a 40272 12
35280.2.sf \(\chi_{35280}(4283, \cdot)\) n/a 32256 12
35280.2.sg \(\chi_{35280}(4733, \cdot)\) n/a 32256 12
35280.2.sj \(\chi_{35280}(1457, \cdot)\) n/a 8064 12
35280.2.so \(\chi_{35280}(127, \cdot)\) n/a 10080 12
35280.2.sr \(\chi_{35280}(1969, \cdot)\) n/a 24144 12
35280.2.sx \(\chi_{35280}(1199, \cdot)\) n/a 24192 12
35280.2.ta \(\chi_{35280}(191, \cdot)\) n/a 16128 12
35280.2.ti \(\chi_{35280}(2609, \cdot)\) n/a 8064 12
35280.2.tk \(\chi_{35280}(1279, \cdot)\) n/a 10080 12
35280.2.tn \(\chi_{35280}(2561, \cdot)\) n/a 16128 12
35280.2.tr \(\chi_{35280}(3391, \cdot)\) n/a 16128 12
35280.2.tx \(\chi_{35280}(1361, \cdot)\) n/a 16128 12
35280.2.ub \(\chi_{35280}(1231, \cdot)\) n/a 16128 12
35280.2.ug \(\chi_{35280}(2239, \cdot)\) n/a 24192 12
35280.2.uk \(\chi_{35280}(2369, \cdot)\) n/a 24144 12
35280.2.um \(\chi_{35280}(4399, \cdot)\) n/a 24192 12
35280.2.uq \(\chi_{35280}(209, \cdot)\) n/a 24144 12
35280.2.ut \(\chi_{35280}(271, \cdot)\) n/a 6720 12
35280.2.uz \(\chi_{35280}(1601, \cdot)\) n/a 5376 12
35280.2.ve \(\chi_{35280}(431, \cdot)\) n/a 5376 12
35280.2.vi \(\chi_{35280}(239, \cdot)\) n/a 24192 12
35280.2.vm \(\chi_{35280}(529, \cdot)\) n/a 24144 12
35280.2.vs \(\chi_{35280}(4559, \cdot)\) n/a 24192 12
35280.2.vw \(\chi_{35280}(2689, \cdot)\) n/a 24144 12
35280.2.we \(\chi_{35280}(3551, \cdot)\) n/a 16128 12
35280.2.wj \(\chi_{35280}(911, \cdot)\) n/a 16128 12
35280.2.wm \(\chi_{35280}(289, \cdot)\) n/a 10056 12
35280.2.ws \(\chi_{35280}(2879, \cdot)\) n/a 8064 12
35280.2.wv \(\chi_{35280}(1951, \cdot)\) n/a 16128 12
35280.2.xb \(\chi_{35280}(4721, \cdot)\) n/a 16128 12
35280.2.xe \(\chi_{35280}(689, \cdot)\) n/a 24144 12
35280.2.xg \(\chi_{35280}(1039, \cdot)\) n/a 24192 12
35280.2.xl \(\chi_{35280}(817, \cdot)\) n/a 48288 24
35280.2.xq \(\chi_{35280}(47, \cdot)\) n/a 48384 24
35280.2.xu \(\chi_{35280}(113, \cdot)\) n/a 48288 24
35280.2.xy \(\chi_{35280}(1663, \cdot)\) n/a 48384 24
35280.2.yd \(\chi_{35280}(1423, \cdot)\) n/a 20160 24
35280.2.ye \(\chi_{35280}(737, \cdot)\) n/a 16128 24
35280.2.yj \(\chi_{35280}(2417, \cdot)\) n/a 48288 24
35280.2.yn \(\chi_{35280}(463, \cdot)\) n/a 48384 24
35280.2.yr \(\chi_{35280}(2483, \cdot)\) n/a 64512 24
35280.2.ys \(\chi_{35280}(53, \cdot)\) n/a 64512 24
35280.2.yu \(\chi_{35280}(2413, \cdot)\) n/a 80544 24
35280.2.yx \(\chi_{35280}(1747, \cdot)\) n/a 80544 24
35280.2.yy \(\chi_{35280}(403, \cdot)\) n/a 193344 24
35280.2.zb \(\chi_{35280}(3013, \cdot)\) n/a 193344 24
35280.2.zc \(\chi_{35280}(923, \cdot)\) n/a 193344 24
35280.2.zf \(\chi_{35280}(2837, \cdot)\) n/a 193344 24
35280.2.zg \(\chi_{35280}(3083, \cdot)\) n/a 193344 24
35280.2.zj \(\chi_{35280}(1877, \cdot)\) n/a 193344 24
35280.2.zl \(\chi_{35280}(853, \cdot)\) n/a 193344 24
35280.2.zm \(\chi_{35280}(2083, \cdot)\) n/a 193344 24
35280.2.zp \(\chi_{35280}(157, \cdot)\) n/a 193344 24
35280.2.zq \(\chi_{35280}(2563, \cdot)\) n/a 193344 24
35280.2.zt \(\chi_{35280}(653, \cdot)\) n/a 193344 24
35280.2.zu \(\chi_{35280}(1643, \cdot)\) n/a 193344 24
35280.2.zx \(\chi_{35280}(421, \cdot)\) n/a 129024 24
35280.2.zy \(\chi_{35280}(139, \cdot)\) n/a 193344 24
35280.2.bab \(\chi_{35280}(461, \cdot)\) n/a 129024 24
35280.2.bac \(\chi_{35280}(659, \cdot)\) n/a 193344 24
35280.2.bae \(\chi_{35280}(709, \cdot)\) n/a 193344 24
35280.2.bah \(\chi_{35280}(691, \cdot)\) n/a 129024 24
35280.2.baj \(\chi_{35280}(3029, \cdot)\) n/a 193344 24
35280.2.bak \(\chi_{35280}(11, \cdot)\) n/a 129024 24
35280.2.ban \(\chi_{35280}(611, \cdot)\) n/a 43008 24
35280.2.bao \(\chi_{35280}(269, \cdot)\) n/a 64512 24
35280.2.bar \(\chi_{35280}(451, \cdot)\) n/a 53760 24
35280.2.bas \(\chi_{35280}(109, \cdot)\) n/a 80544 24
35280.2.bav \(\chi_{35280}(1789, \cdot)\) n/a 193344 24
35280.2.baw \(\chi_{35280}(2131, \cdot)\) n/a 129024 24
35280.2.bay \(\chi_{35280}(1949, \cdot)\) n/a 193344 24
35280.2.bbb \(\chi_{35280}(3371, \cdot)\) n/a 129024 24
35280.2.bbd \(\chi_{35280}(941, \cdot)\) n/a 129024 24
35280.2.bbe \(\chi_{35280}(1859, \cdot)\) n/a 193344 24
35280.2.bbg \(\chi_{35280}(1459, \cdot)\) n/a 80544 24
35280.2.bbj \(\chi_{35280}(541, \cdot)\) n/a 53760 24
35280.2.bbk \(\chi_{35280}(781, \cdot)\) n/a 129024 24
35280.2.bbn \(\chi_{35280}(859, \cdot)\) n/a 193344 24
35280.2.bbo \(\chi_{35280}(101, \cdot)\) n/a 129024 24
35280.2.bbr \(\chi_{35280}(779, \cdot)\) n/a 193344 24
35280.2.bbs \(\chi_{35280}(179, \cdot)\) n/a 64512 24
35280.2.bbv \(\chi_{35280}(341, \cdot)\) n/a 43008 24
35280.2.bbx \(\chi_{35280}(2221, \cdot)\) n/a 129024 24
35280.2.bby \(\chi_{35280}(1699, \cdot)\) n/a 193344 24
35280.2.bca \(\chi_{35280}(2309, \cdot)\) n/a 193344 24
35280.2.bcd \(\chi_{35280}(2171, \cdot)\) n/a 129024 24
35280.2.bce \(\chi_{35280}(1429, \cdot)\) n/a 193344 24
35280.2.bch \(\chi_{35280}(1651, \cdot)\) n/a 129024 24
35280.2.bcj \(\chi_{35280}(493, \cdot)\) n/a 193344 24
35280.2.bck \(\chi_{35280}(1003, \cdot)\) n/a 193344 24
35280.2.bcn \(\chi_{35280}(533, \cdot)\) n/a 193344 24
35280.2.bco \(\chi_{35280}(563, \cdot)\) n/a 193344 24
35280.2.bcr \(\chi_{35280}(317, \cdot)\) n/a 193344 24
35280.2.bcs \(\chi_{35280}(83, \cdot)\) n/a 193344 24
35280.2.bcu \(\chi_{35280}(43, \cdot)\) n/a 193344 24
35280.2.bcx \(\chi_{35280}(2173, \cdot)\) n/a 193344 24
35280.2.bcy \(\chi_{35280}(4363, \cdot)\) n/a 193344 24
35280.2.bdb \(\chi_{35280}(13, \cdot)\) n/a 193344 24
35280.2.bdc \(\chi_{35280}(2243, \cdot)\) n/a 193344 24
35280.2.bdf \(\chi_{35280}(3173, \cdot)\) n/a 193344 24
35280.2.bdg \(\chi_{35280}(2573, \cdot)\) n/a 64512 24
35280.2.bdj \(\chi_{35280}(467, \cdot)\) n/a 64512 24
35280.2.bdl \(\chi_{35280}(163, \cdot)\) n/a 80544 24
35280.2.bdm \(\chi_{35280}(397, \cdot)\) n/a 80544 24
35280.2.bdq \(\chi_{35280}(1343, \cdot)\) n/a 48384 24
35280.2.bdu \(\chi_{35280}(2257, \cdot)\) n/a 48288 24
35280.2.bdz \(\chi_{35280}(577, \cdot)\) n/a 20112 24
35280.2.bea \(\chi_{35280}(143, \cdot)\) n/a 16128 24
35280.2.bef \(\chi_{35280}(383, \cdot)\) n/a 48384 24
35280.2.bej \(\chi_{35280}(1777, \cdot)\) n/a 48288 24
35280.2.ben \(\chi_{35280}(1087, \cdot)\) n/a 48384 24
35280.2.bes \(\chi_{35280}(977, \cdot)\) n/a 48288 24

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(35280))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(35280)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(1))\)\(^{\oplus 90}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2))\)\(^{\oplus 72}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(3))\)\(^{\oplus 60}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(4))\)\(^{\oplus 54}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(5))\)\(^{\oplus 45}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(6))\)\(^{\oplus 48}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(7))\)\(^{\oplus 60}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(8))\)\(^{\oplus 36}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(9))\)\(^{\oplus 30}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(10))\)\(^{\oplus 36}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(12))\)\(^{\oplus 36}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(14))\)\(^{\oplus 48}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(15))\)\(^{\oplus 30}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(16))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(18))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(20))\)\(^{\oplus 27}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(21))\)\(^{\oplus 40}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(24))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(28))\)\(^{\oplus 36}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(30))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(35))\)\(^{\oplus 30}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(36))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(40))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(42))\)\(^{\oplus 32}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(45))\)\(^{\oplus 15}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(48))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(49))\)\(^{\oplus 30}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(56))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(60))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(63))\)\(^{\oplus 20}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(70))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(72))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(80))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(84))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(90))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(98))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(105))\)\(^{\oplus 20}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(112))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(120))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(126))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(140))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(144))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(147))\)\(^{\oplus 20}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(168))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(180))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(196))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(210))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(240))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(245))\)\(^{\oplus 15}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(252))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(280))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(294))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(315))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(336))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(360))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(392))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(420))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(441))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(490))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(504))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(560))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(588))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(630))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(720))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(735))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(784))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(840))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(882))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(980))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1008))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1176))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1260))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1470))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1680))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1764))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1960))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2205))\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2352))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2520))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2940))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(3528))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(3920))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(4410))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(5040))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(5880))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(7056))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(8820))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(11760))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(17640))\)\(^{\oplus 2}\)