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Properties

Label 7280.2
Level 7280
Weight 2
Dimension 752996
Nonzero newspaces 260
Sturm bound 6193152

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Defining parameters

Level: \( N \) = \( 7280 = 2^{4} \cdot 5 \cdot 7 \cdot 13 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 260 \)
Sturm bound: \(6193152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(7280))\).

Total New Old
Modular forms 1564416 758932 805484
Cusp forms 1532161 752996 779165
Eisenstein series 32255 5936 26319

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(7280))\)

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
7280.2.a \(\chi_{7280}(1, \cdot)\) 7280.2.a.a 1 1
7280.2.a.b 1
7280.2.a.c 1
7280.2.a.d 1
7280.2.a.e 1
7280.2.a.f 1
7280.2.a.g 1
7280.2.a.h 1
7280.2.a.i 1
7280.2.a.j 1
7280.2.a.k 1
7280.2.a.l 1
7280.2.a.m 1
7280.2.a.n 1
7280.2.a.o 1
7280.2.a.p 1
7280.2.a.q 1
7280.2.a.r 1
7280.2.a.s 1
7280.2.a.t 1
7280.2.a.u 1
7280.2.a.v 1
7280.2.a.w 1
7280.2.a.x 2
7280.2.a.y 2
7280.2.a.z 2
7280.2.a.ba 2
7280.2.a.bb 2
7280.2.a.bc 2
7280.2.a.bd 2
7280.2.a.be 2
7280.2.a.bf 2
7280.2.a.bg 2
7280.2.a.bh 2
7280.2.a.bi 2
7280.2.a.bj 2
7280.2.a.bk 2
7280.2.a.bl 3
7280.2.a.bm 3
7280.2.a.bn 3
7280.2.a.bo 3
7280.2.a.bp 3
7280.2.a.bq 4
7280.2.a.br 4
7280.2.a.bs 4
7280.2.a.bt 4
7280.2.a.bu 4
7280.2.a.bv 4
7280.2.a.bw 4
7280.2.a.bx 4
7280.2.a.by 4
7280.2.a.bz 4
7280.2.a.ca 4
7280.2.a.cb 4
7280.2.a.cc 5
7280.2.a.cd 5
7280.2.a.ce 6
7280.2.a.cf 7
7280.2.a.cg 7
7280.2.b \(\chi_{7280}(3249, \cdot)\) n/a 252 1
7280.2.d \(\chi_{7280}(6551, \cdot)\) None 0 1
7280.2.g \(\chi_{7280}(3641, \cdot)\) None 0 1
7280.2.i \(\chi_{7280}(1119, \cdot)\) n/a 288 1
7280.2.j \(\chi_{7280}(391, \cdot)\) None 0 1
7280.2.l \(\chi_{7280}(4369, \cdot)\) n/a 216 1
7280.2.o \(\chi_{7280}(7279, \cdot)\) n/a 336 1
7280.2.q \(\chi_{7280}(2521, \cdot)\) None 0 1
7280.2.r \(\chi_{7280}(729, \cdot)\) None 0 1
7280.2.t \(\chi_{7280}(4031, \cdot)\) n/a 192 1
7280.2.w \(\chi_{7280}(6161, \cdot)\) n/a 168 1
7280.2.y \(\chi_{7280}(3639, \cdot)\) None 0 1
7280.2.z \(\chi_{7280}(2911, \cdot)\) n/a 224 1
7280.2.bb \(\chi_{7280}(6889, \cdot)\) None 0 1
7280.2.be \(\chi_{7280}(4759, \cdot)\) None 0 1
7280.2.bg \(\chi_{7280}(1121, \cdot)\) n/a 336 2
7280.2.bh \(\chi_{7280}(2081, \cdot)\) n/a 384 2
7280.2.bi \(\chi_{7280}(3201, \cdot)\) n/a 448 2
7280.2.bj \(\chi_{7280}(81, \cdot)\) n/a 448 2
7280.2.bl \(\chi_{7280}(83, \cdot)\) n/a 2672 2
7280.2.bm \(\chi_{7280}(1373, \cdot)\) n/a 2016 2
7280.2.bq \(\chi_{7280}(489, \cdot)\) None 0 2
7280.2.br \(\chi_{7280}(3151, \cdot)\) n/a 336 2
7280.2.bt \(\chi_{7280}(547, \cdot)\) n/a 1728 2
7280.2.bu \(\chi_{7280}(4213, \cdot)\) n/a 2304 2
7280.2.bw \(\chi_{7280}(3093, \cdot)\) n/a 2672 2
7280.2.bz \(\chi_{7280}(4523, \cdot)\) n/a 2016 2
7280.2.ca \(\chi_{7280}(3879, \cdot)\) None 0 2
7280.2.cb \(\chi_{7280}(5361, \cdot)\) n/a 448 2
7280.2.cf \(\chi_{7280}(3557, \cdot)\) n/a 2016 2
7280.2.cg \(\chi_{7280}(1763, \cdot)\) n/a 2672 2
7280.2.ci \(\chi_{7280}(1331, \cdot)\) n/a 1344 2
7280.2.ck \(\chi_{7280}(629, \cdot)\) n/a 2672 2
7280.2.cn \(\chi_{7280}(3457, \cdot)\) n/a 664 2
7280.2.co \(\chi_{7280}(937, \cdot)\) None 0 2
7280.2.cr \(\chi_{7280}(2367, \cdot)\) n/a 432 2
7280.2.cs \(\chi_{7280}(4887, \cdot)\) None 0 2
7280.2.cv \(\chi_{7280}(3739, \cdot)\) n/a 2016 2
7280.2.cx \(\chi_{7280}(1581, \cdot)\) n/a 1792 2
7280.2.dc \(\chi_{7280}(1091, \cdot)\) n/a 1792 2
7280.2.dd \(\chi_{7280}(1429, \cdot)\) n/a 2016 2
7280.2.de \(\chi_{7280}(2549, \cdot)\) n/a 1728 2
7280.2.df \(\chi_{7280}(2211, \cdot)\) n/a 1536 2
7280.2.dg \(\chi_{7280}(447, \cdot)\) n/a 672 2
7280.2.dj \(\chi_{7280}(5153, \cdot)\) n/a 504 2
7280.2.dk \(\chi_{7280}(3697, \cdot)\) n/a 504 2
7280.2.dn \(\chi_{7280}(1903, \cdot)\) n/a 672 2
7280.2.dp \(\chi_{7280}(1513, \cdot)\) None 0 2
7280.2.dq \(\chi_{7280}(4087, \cdot)\) None 0 2
7280.2.dt \(\chi_{7280}(5543, \cdot)\) None 0 2
7280.2.du \(\chi_{7280}(57, \cdot)\) None 0 2
7280.2.dw \(\chi_{7280}(1819, \cdot)\) n/a 2672 2
7280.2.dx \(\chi_{7280}(701, \cdot)\) n/a 1344 2
7280.2.dy \(\chi_{7280}(1821, \cdot)\) n/a 1152 2
7280.2.dz \(\chi_{7280}(2939, \cdot)\) n/a 2304 2
7280.2.ee \(\chi_{7280}(2309, \cdot)\) n/a 2672 2
7280.2.eg \(\chi_{7280}(3011, \cdot)\) n/a 1344 2
7280.2.ei \(\chi_{7280}(1247, \cdot)\) n/a 504 2
7280.2.el \(\chi_{7280}(183, \cdot)\) None 0 2
7280.2.em \(\chi_{7280}(4577, \cdot)\) n/a 576 2
7280.2.ep \(\chi_{7280}(1273, \cdot)\) None 0 2
7280.2.er \(\chi_{7280}(5221, \cdot)\) n/a 1792 2
7280.2.et \(\chi_{7280}(99, \cdot)\) n/a 2016 2
7280.2.eu \(\chi_{7280}(5403, \cdot)\) n/a 2672 2
7280.2.ex \(\chi_{7280}(3333, \cdot)\) n/a 2016 2
7280.2.fa \(\chi_{7280}(1191, \cdot)\) None 0 2
7280.2.fb \(\chi_{7280}(2449, \cdot)\) n/a 664 2
7280.2.fc \(\chi_{7280}(2003, \cdot)\) n/a 1728 2
7280.2.ff \(\chi_{7280}(573, \cdot)\) n/a 2304 2
7280.2.fh \(\chi_{7280}(1637, \cdot)\) n/a 2672 2
7280.2.fi \(\chi_{7280}(883, \cdot)\) n/a 2016 2
7280.2.fk \(\chi_{7280}(1721, \cdot)\) None 0 2
7280.2.fl \(\chi_{7280}(239, \cdot)\) n/a 504 2
7280.2.fo \(\chi_{7280}(5013, \cdot)\) n/a 2016 2
7280.2.fr \(\chi_{7280}(307, \cdot)\) n/a 2672 2
7280.2.fs \(\chi_{7280}(2921, \cdot)\) None 0 2
7280.2.fu \(\chi_{7280}(3279, \cdot)\) n/a 672 2
7280.2.fx \(\chi_{7280}(849, \cdot)\) n/a 664 2
7280.2.fz \(\chi_{7280}(6471, \cdot)\) None 0 2
7280.2.ga \(\chi_{7280}(719, \cdot)\) n/a 672 2
7280.2.gc \(\chi_{7280}(121, \cdot)\) None 0 2
7280.2.gf \(\chi_{7280}(2551, \cdot)\) None 0 2
7280.2.gh \(\chi_{7280}(3649, \cdot)\) n/a 664 2
7280.2.gi \(\chi_{7280}(569, \cdot)\) None 0 2
7280.2.gk \(\chi_{7280}(6751, \cdot)\) n/a 448 2
7280.2.go \(\chi_{7280}(2679, \cdot)\) None 0 2
7280.2.gp \(\chi_{7280}(1959, \cdot)\) None 0 2
7280.2.gu \(\chi_{7280}(1689, \cdot)\) None 0 2
7280.2.gv \(\chi_{7280}(2409, \cdot)\) None 0 2
7280.2.gy \(\chi_{7280}(1791, \cdot)\) n/a 448 2
7280.2.gz \(\chi_{7280}(831, \cdot)\) n/a 448 2
7280.2.hc \(\chi_{7280}(2999, \cdot)\) None 0 2
7280.2.hd \(\chi_{7280}(2271, \cdot)\) n/a 448 2
7280.2.hf \(\chi_{7280}(3929, \cdot)\) None 0 2
7280.2.hh \(\chi_{7280}(1559, \cdot)\) None 0 2
7280.2.hi \(\chi_{7280}(2519, \cdot)\) None 0 2
7280.2.hl \(\chi_{7280}(1681, \cdot)\) n/a 336 2
7280.2.hm \(\chi_{7280}(961, \cdot)\) n/a 448 2
7280.2.hr \(\chi_{7280}(1231, \cdot)\) n/a 448 2
7280.2.hs \(\chi_{7280}(1951, \cdot)\) n/a 384 2
7280.2.hv \(\chi_{7280}(2809, \cdot)\) None 0 2
7280.2.hw \(\chi_{7280}(1849, \cdot)\) None 0 2
7280.2.hy \(\chi_{7280}(199, \cdot)\) None 0 2
7280.2.ia \(\chi_{7280}(641, \cdot)\) n/a 448 2
7280.2.ib \(\chi_{7280}(289, \cdot)\) n/a 664 2
7280.2.id \(\chi_{7280}(5911, \cdot)\) None 0 2
7280.2.if \(\chi_{7280}(1481, \cdot)\) None 0 2
7280.2.ig \(\chi_{7280}(1401, \cdot)\) None 0 2
7280.2.ij \(\chi_{7280}(2799, \cdot)\) n/a 672 2
7280.2.ik \(\chi_{7280}(1039, \cdot)\) n/a 672 2
7280.2.ip \(\chi_{7280}(1569, \cdot)\) n/a 504 2
7280.2.iq \(\chi_{7280}(3329, \cdot)\) n/a 576 2
7280.2.it \(\chi_{7280}(1431, \cdot)\) None 0 2
7280.2.iu \(\chi_{7280}(1511, \cdot)\) None 0 2
7280.2.iw \(\chi_{7280}(3481, \cdot)\) None 0 2
7280.2.iy \(\chi_{7280}(3839, \cdot)\) n/a 672 2
7280.2.iz \(\chi_{7280}(3111, \cdot)\) None 0 2
7280.2.jb \(\chi_{7280}(4209, \cdot)\) n/a 664 2
7280.2.jd \(\chi_{7280}(2239, \cdot)\) n/a 672 2
7280.2.je \(\chi_{7280}(2159, \cdot)\) n/a 576 2
7280.2.jh \(\chi_{7280}(2601, \cdot)\) None 0 2
7280.2.ji \(\chi_{7280}(841, \cdot)\) None 0 2
7280.2.jn \(\chi_{7280}(311, \cdot)\) None 0 2
7280.2.jo \(\chi_{7280}(2071, \cdot)\) None 0 2
7280.2.jr \(\chi_{7280}(2129, \cdot)\) n/a 504 2
7280.2.js \(\chi_{7280}(2209, \cdot)\) n/a 664 2
7280.2.ju \(\chi_{7280}(159, \cdot)\) n/a 672 2
7280.2.jw \(\chi_{7280}(6841, \cdot)\) None 0 2
7280.2.jx \(\chi_{7280}(3761, \cdot)\) n/a 448 2
7280.2.jz \(\chi_{7280}(3559, \cdot)\) None 0 2
7280.2.kc \(\chi_{7280}(9, \cdot)\) None 0 2
7280.2.ke \(\chi_{7280}(6191, \cdot)\) n/a 448 2
7280.2.kf \(\chi_{7280}(6919, \cdot)\) None 0 2
7280.2.kj \(\chi_{7280}(2831, \cdot)\) n/a 448 2
7280.2.kl \(\chi_{7280}(4489, \cdot)\) None 0 2
7280.2.km \(\chi_{7280}(1307, \cdot)\) n/a 5344 4
7280.2.kp \(\chi_{7280}(2013, \cdot)\) n/a 5344 4
7280.2.ks \(\chi_{7280}(2481, \cdot)\) n/a 896 4
7280.2.kt \(\chi_{7280}(1159, \cdot)\) None 0 4
7280.2.ku \(\chi_{7280}(2123, \cdot)\) n/a 5344 4
7280.2.kx \(\chi_{7280}(3013, \cdot)\) n/a 5344 4
7280.2.kz \(\chi_{7280}(1277, \cdot)\) n/a 5344 4
7280.2.la \(\chi_{7280}(627, \cdot)\) n/a 5344 4
7280.2.lc \(\chi_{7280}(431, \cdot)\) n/a 896 4
7280.2.ld \(\chi_{7280}(3209, \cdot)\) None 0 4
7280.2.lg \(\chi_{7280}(2333, \cdot)\) n/a 5344 4
7280.2.lj \(\chi_{7280}(747, \cdot)\) n/a 5344 4
7280.2.lk \(\chi_{7280}(1347, \cdot)\) n/a 5344 4
7280.2.ln \(\chi_{7280}(787, \cdot)\) n/a 5344 4
7280.2.lp \(\chi_{7280}(1987, \cdot)\) n/a 5344 4
7280.2.lq \(\chi_{7280}(3837, \cdot)\) n/a 4032 4
7280.2.ls \(\chi_{7280}(1493, \cdot)\) n/a 5344 4
7280.2.lv \(\chi_{7280}(317, \cdot)\) n/a 5344 4
7280.2.ly \(\chi_{7280}(3729, \cdot)\) n/a 1328 4
7280.2.lz \(\chi_{7280}(4951, \cdot)\) None 0 4
7280.2.me \(\chi_{7280}(1321, \cdot)\) None 0 4
7280.2.mf \(\chi_{7280}(799, \cdot)\) n/a 1008 4
7280.2.mg \(\chi_{7280}(41, \cdot)\) None 0 4
7280.2.mh \(\chi_{7280}(879, \cdot)\) n/a 1344 4
7280.2.mi \(\chi_{7280}(1693, \cdot)\) n/a 5344 4
7280.2.ml \(\chi_{7280}(1387, \cdot)\) n/a 4032 4
7280.2.mn \(\chi_{7280}(493, \cdot)\) n/a 5344 4
7280.2.mo \(\chi_{7280}(2027, \cdot)\) n/a 5344 4
7280.2.mr \(\chi_{7280}(1843, \cdot)\) n/a 5344 4
7280.2.ms \(\chi_{7280}(3293, \cdot)\) n/a 5344 4
7280.2.mu \(\chi_{7280}(997, \cdot)\) n/a 5344 4
7280.2.mx \(\chi_{7280}(107, \cdot)\) n/a 5344 4
7280.2.my \(\chi_{7280}(963, \cdot)\) n/a 4608 4
7280.2.nb \(\chi_{7280}(677, \cdot)\) n/a 4608 4
7280.2.nd \(\chi_{7280}(1947, \cdot)\) n/a 4032 4
7280.2.ne \(\chi_{7280}(517, \cdot)\) n/a 5344 4
7280.2.ng \(\chi_{7280}(151, \cdot)\) None 0 4
7280.2.nh \(\chi_{7280}(769, \cdot)\) n/a 1328 4
7280.2.ni \(\chi_{7280}(71, \cdot)\) None 0 4
7280.2.nj \(\chi_{7280}(369, \cdot)\) n/a 1328 4
7280.2.no \(\chi_{7280}(319, \cdot)\) n/a 1344 4
7280.2.np \(\chi_{7280}(3001, \cdot)\) None 0 4
7280.2.nt \(\chi_{7280}(2853, \cdot)\) n/a 5344 4
7280.2.nv \(\chi_{7280}(1597, \cdot)\) n/a 4032 4
7280.2.nw \(\chi_{7280}(1997, \cdot)\) n/a 5344 4
7280.2.nz \(\chi_{7280}(3323, \cdot)\) n/a 5344 4
7280.2.oa \(\chi_{7280}(4227, \cdot)\) n/a 5344 4
7280.2.oc \(\chi_{7280}(227, \cdot)\) n/a 5344 4
7280.2.oe \(\chi_{7280}(1059, \cdot)\) n/a 5344 4
7280.2.og \(\chi_{7280}(2021, \cdot)\) n/a 3584 4
7280.2.oj \(\chi_{7280}(3097, \cdot)\) None 0 4
7280.2.ok \(\chi_{7280}(3377, \cdot)\) n/a 1328 4
7280.2.on \(\chi_{7280}(2487, \cdot)\) None 0 4
7280.2.oo \(\chi_{7280}(1647, \cdot)\) n/a 1344 4
7280.2.or \(\chi_{7280}(11, \cdot)\) n/a 3584 4
7280.2.ot \(\chi_{7280}(1389, \cdot)\) n/a 5344 4
7280.2.oy \(\chi_{7280}(1459, \cdot)\) n/a 5344 4
7280.2.oz \(\chi_{7280}(1101, \cdot)\) n/a 3584 4
7280.2.pa \(\chi_{7280}(1941, \cdot)\) n/a 3584 4
7280.2.pb \(\chi_{7280}(1739, \cdot)\) n/a 5344 4
7280.2.pd \(\chi_{7280}(2567, \cdot)\) None 0 4
7280.2.pe \(\chi_{7280}(2377, \cdot)\) None 0 4
7280.2.ph \(\chi_{7280}(2697, \cdot)\) None 0 4
7280.2.pi \(\chi_{7280}(1207, \cdot)\) None 0 4
7280.2.pk \(\chi_{7280}(513, \cdot)\) n/a 1328 4
7280.2.pn \(\chi_{7280}(943, \cdot)\) n/a 1344 4
7280.2.po \(\chi_{7280}(383, \cdot)\) n/a 1344 4
7280.2.pr \(\chi_{7280}(193, \cdot)\) n/a 1328 4
7280.2.ps \(\chi_{7280}(731, \cdot)\) n/a 3584 4
7280.2.pt \(\chi_{7280}(1829, \cdot)\) n/a 5344 4
7280.2.pu \(\chi_{7280}(2669, \cdot)\) n/a 5344 4
7280.2.pv \(\chi_{7280}(1011, \cdot)\) n/a 3584 4
7280.2.qa \(\chi_{7280}(661, \cdot)\) n/a 3584 4
7280.2.qc \(\chi_{7280}(739, \cdot)\) n/a 5344 4
7280.2.qe \(\chi_{7280}(263, \cdot)\) None 0 4
7280.2.qh \(\chi_{7280}(303, \cdot)\) n/a 1344 4
7280.2.qi \(\chi_{7280}(537, \cdot)\) None 0 4
7280.2.ql \(\chi_{7280}(913, \cdot)\) n/a 1328 4
7280.2.qn \(\chi_{7280}(2749, \cdot)\) n/a 5344 4
7280.2.qp \(\chi_{7280}(331, \cdot)\) n/a 3584 4
7280.2.qq \(\chi_{7280}(1411, \cdot)\) n/a 3584 4
7280.2.qs \(\chi_{7280}(509, \cdot)\) n/a 5344 4
7280.2.qu \(\chi_{7280}(379, \cdot)\) n/a 4032 4
7280.2.qv \(\chi_{7280}(1019, \cdot)\) n/a 5344 4
7280.2.qy \(\chi_{7280}(941, \cdot)\) n/a 3584 4
7280.2.qz \(\chi_{7280}(461, \cdot)\) n/a 3584 4
7280.2.rc \(\chi_{7280}(2497, \cdot)\) n/a 1152 4
7280.2.re \(\chi_{7280}(3657, \cdot)\) None 0 4
7280.2.rg \(\chi_{7280}(153, \cdot)\) None 0 4
7280.2.rj \(\chi_{7280}(1777, \cdot)\) n/a 1328 4
7280.2.rl \(\chi_{7280}(2817, \cdot)\) n/a 1328 4
7280.2.rn \(\chi_{7280}(857, \cdot)\) None 0 4
7280.2.ro \(\chi_{7280}(207, \cdot)\) n/a 1344 4
7280.2.rq \(\chi_{7280}(1303, \cdot)\) None 0 4
7280.2.rs \(\chi_{7280}(1927, \cdot)\) None 0 4
7280.2.rv \(\chi_{7280}(2207, \cdot)\) n/a 1344 4
7280.2.rx \(\chi_{7280}(127, \cdot)\) n/a 1008 4
7280.2.rz \(\chi_{7280}(807, \cdot)\) None 0 4
7280.2.sc \(\chi_{7280}(2451, \cdot)\) n/a 2688 4
7280.2.sd \(\chi_{7280}(1971, \cdot)\) n/a 3584 4
7280.2.sg \(\chi_{7280}(229, \cdot)\) n/a 5344 4
7280.2.sh \(\chi_{7280}(1749, \cdot)\) n/a 5344 4
7280.2.sj \(\chi_{7280}(1579, \cdot)\) n/a 5344 4
7280.2.sl \(\chi_{7280}(1501, \cdot)\) n/a 3584 4
7280.2.sq \(\chi_{7280}(451, \cdot)\) n/a 3584 4
7280.2.sr \(\chi_{7280}(2109, \cdot)\) n/a 5344 4
7280.2.ss \(\chi_{7280}(2389, \cdot)\) n/a 5344 4
7280.2.st \(\chi_{7280}(1291, \cdot)\) n/a 3584 4
7280.2.tc \(\chi_{7280}(3221, \cdot)\) n/a 2688 4
7280.2.td \(\chi_{7280}(699, \cdot)\) n/a 5344 4
7280.2.te \(\chi_{7280}(261, \cdot)\) n/a 3072 4
7280.2.tf \(\chi_{7280}(339, \cdot)\) n/a 4608 4
7280.2.tg \(\chi_{7280}(2859, \cdot)\) n/a 5344 4
7280.2.th \(\chi_{7280}(2781, \cdot)\) n/a 3584 4
7280.2.ti \(\chi_{7280}(139, \cdot)\) n/a 5344 4
7280.2.tj \(\chi_{7280}(2661, \cdot)\) n/a 2688 4
7280.2.tk \(\chi_{7280}(47, \cdot)\) n/a 1344 4
7280.2.tn \(\chi_{7280}(1633, \cdot)\) n/a 1328 4
7280.2.to \(\chi_{7280}(177, \cdot)\) n/a 1328 4
7280.2.tr \(\chi_{7280}(1487, \cdot)\) n/a 1344 4
7280.2.ts \(\chi_{7280}(1783, \cdot)\) None 0 4
7280.2.tu \(\chi_{7280}(617, \cdot)\) None 0 4
7280.2.tx \(\chi_{7280}(167, \cdot)\) None 0 4
7280.2.tz \(\chi_{7280}(457, \cdot)\) None 0 4
7280.2.ua \(\chi_{7280}(137, \cdot)\) None 0 4
7280.2.uc \(\chi_{7280}(1623, \cdot)\) None 0 4
7280.2.uf \(\chi_{7280}(1177, \cdot)\) None 0 4
7280.2.uh \(\chi_{7280}(327, \cdot)\) None 0 4
7280.2.uj \(\chi_{7280}(3217, \cdot)\) n/a 1328 4
7280.2.ul \(\chi_{7280}(223, \cdot)\) n/a 1344 4
7280.2.um \(\chi_{7280}(1233, \cdot)\) n/a 1008 4
7280.2.uo \(\chi_{7280}(1727, \cdot)\) n/a 1344 4
7280.2.ur \(\chi_{7280}(2047, \cdot)\) n/a 1344 4
7280.2.ut \(\chi_{7280}(3473, \cdot)\) n/a 1008 4
7280.2.uu \(\chi_{7280}(1007, \cdot)\) n/a 1344 4
7280.2.uw \(\chi_{7280}(1857, \cdot)\) n/a 1328 4
7280.2.uz \(\chi_{7280}(2137, \cdot)\) None 0 4
7280.2.va \(\chi_{7280}(3463, \cdot)\) None 0 4
7280.2.vd \(\chi_{7280}(983, \cdot)\) None 0 4
7280.2.ve \(\chi_{7280}(473, \cdot)\) None 0 4
7280.2.vg \(\chi_{7280}(309, \cdot)\) n/a 4032 4
7280.2.vh \(\chi_{7280}(251, \cdot)\) n/a 3584 4
7280.2.vi \(\chi_{7280}(989, \cdot)\) n/a 4608 4
7280.2.vj \(\chi_{7280}(131, \cdot)\) n/a 3072 4
7280.2.vk \(\chi_{7280}(2131, \cdot)\) n/a 3584 4
7280.2.vl \(\chi_{7280}(389, \cdot)\) n/a 5344 4
7280.2.vm \(\chi_{7280}(3051, \cdot)\) n/a 3584 4
7280.2.vn \(\chi_{7280}(29, \cdot)\) n/a 4032 4
7280.2.vw \(\chi_{7280}(1179, \cdot)\) n/a 5344 4
7280.2.vx \(\chi_{7280}(1381, \cdot)\) n/a 3584 4
7280.2.vy \(\chi_{7280}(1661, \cdot)\) n/a 3584 4
7280.2.vz \(\chi_{7280}(2019, \cdot)\) n/a 5344 4
7280.2.we \(\chi_{7280}(2229, \cdot)\) n/a 5344 4
7280.2.wg \(\chi_{7280}(851, \cdot)\) n/a 3584 4
7280.2.wi \(\chi_{7280}(1461, \cdot)\) n/a 3584 4
7280.2.wj \(\chi_{7280}(1021, \cdot)\) n/a 3584 4
7280.2.wm \(\chi_{7280}(3179, \cdot)\) n/a 4032 4
7280.2.wn \(\chi_{7280}(499, \cdot)\) n/a 5344 4
7280.2.wr \(\chi_{7280}(1327, \cdot)\) n/a 1152 4
7280.2.wt \(\chi_{7280}(23, \cdot)\) None 0 4
7280.2.wv \(\chi_{7280}(407, \cdot)\) None 0 4
7280.2.ww \(\chi_{7280}(1023, \cdot)\) n/a 1008 4
7280.2.wy \(\chi_{7280}(5567, \cdot)\) n/a 1344 4
7280.2.xa \(\chi_{7280}(1143, \cdot)\) None 0 4
7280.2.xd \(\chi_{7280}(1377, \cdot)\) n/a 1328 4
7280.2.xf \(\chi_{7280}(2057, \cdot)\) None 0 4
7280.2.xh \(\chi_{7280}(633, \cdot)\) None 0 4
7280.2.xi \(\chi_{7280}(17, \cdot)\) n/a 1328 4
7280.2.xk \(\chi_{7280}(433, \cdot)\) n/a 1328 4
7280.2.xm \(\chi_{7280}(313, \cdot)\) None 0 4
7280.2.xq \(\chi_{7280}(1669, \cdot)\) n/a 5344 4
7280.2.xr \(\chi_{7280}(349, \cdot)\) n/a 5344 4
7280.2.xu \(\chi_{7280}(1051, \cdot)\) n/a 2688 4
7280.2.xv \(\chi_{7280}(291, \cdot)\) n/a 3584 4
7280.2.xx \(\chi_{7280}(1181, \cdot)\) n/a 3584 4
7280.2.xz \(\chi_{7280}(219, \cdot)\) n/a 5344 4
7280.2.ya \(\chi_{7280}(587, \cdot)\) n/a 5344 4
7280.2.yc \(\chi_{7280}(1363, \cdot)\) n/a 5344 4
7280.2.yf \(\chi_{7280}(187, \cdot)\) n/a 5344 4
7280.2.yg \(\chi_{7280}(1773, \cdot)\) n/a 5344 4
7280.2.yj \(\chi_{7280}(37, \cdot)\) n/a 5344 4
7280.2.yl \(\chi_{7280}(253, \cdot)\) n/a 4032 4
7280.2.yo \(\chi_{7280}(1311, \cdot)\) n/a 896 4
7280.2.yp \(\chi_{7280}(89, \cdot)\) None 0 4
7280.2.yu \(\chi_{7280}(359, \cdot)\) None 0 4
7280.2.yv \(\chi_{7280}(1441, \cdot)\) n/a 896 4
7280.2.yw \(\chi_{7280}(2199, \cdot)\) None 0 4
7280.2.yx \(\chi_{7280}(801, \cdot)\) n/a 896 4
7280.2.yz \(\chi_{7280}(237, \cdot)\) n/a 5344 4
7280.2.za \(\chi_{7280}(1667, \cdot)\) n/a 4032 4
7280.2.zc \(\chi_{7280}(387, \cdot)\) n/a 5344 4
7280.2.zf \(\chi_{7280}(1837, \cdot)\) n/a 5344 4
7280.2.zg \(\chi_{7280}(1013, \cdot)\) n/a 5344 4
7280.2.zj \(\chi_{7280}(1507, \cdot)\) n/a 5344 4
7280.2.zl \(\chi_{7280}(443, \cdot)\) n/a 4608 4
7280.2.zm \(\chi_{7280}(157, \cdot)\) n/a 4608 4
7280.2.zp \(\chi_{7280}(2453, \cdot)\) n/a 5344 4
7280.2.zq \(\chi_{7280}(1563, \cdot)\) n/a 5344 4
7280.2.zs \(\chi_{7280}(43, \cdot)\) n/a 4032 4
7280.2.zv \(\chi_{7280}(797, \cdot)\) n/a 5344 4
7280.2.zw \(\chi_{7280}(1529, \cdot)\) None 0 4
7280.2.zx \(\chi_{7280}(1471, \cdot)\) n/a 672 4
7280.2.zy \(\chi_{7280}(2169, \cdot)\) None 0 4
7280.2.zz \(\chi_{7280}(2111, \cdot)\) n/a 896 4
7280.2.bae \(\chi_{7280}(241, \cdot)\) n/a 896 4
7280.2.baf \(\chi_{7280}(2039, \cdot)\) None 0 4
7280.2.baj \(\chi_{7280}(333, \cdot)\) n/a 5344 4
7280.2.bak \(\chi_{7280}(197, \cdot)\) n/a 4032 4
7280.2.bam \(\chi_{7280}(1397, \cdot)\) n/a 5344 4
7280.2.bap \(\chi_{7280}(1683, \cdot)\) n/a 5344 4
7280.2.bar \(\chi_{7280}(643, \cdot)\) n/a 5344 4
7280.2.bas \(\chi_{7280}(1123, \cdot)\) n/a 5344 4
7280.2.bav \(\chi_{7280}(843, \cdot)\) n/a 5344 4
7280.2.baw \(\chi_{7280}(557, \cdot)\) n/a 5344 4
7280.2.bba \(\chi_{7280}(2559, \cdot)\) n/a 1344 4
7280.2.bbb \(\chi_{7280}(201, \cdot)\) None 0 4
7280.2.bbd \(\chi_{7280}(667, \cdot)\) n/a 5344 4
7280.2.bbe \(\chi_{7280}(173, \cdot)\) n/a 5344 4
7280.2.bbg \(\chi_{7280}(2733, \cdot)\) n/a 5344 4
7280.2.bbj \(\chi_{7280}(1283, \cdot)\) n/a 5344 4
7280.2.bbk \(\chi_{7280}(929, \cdot)\) n/a 1328 4
7280.2.bbl \(\chi_{7280}(1831, \cdot)\) None 0 4
7280.2.bbp \(\chi_{7280}(877, \cdot)\) n/a 5344 4
7280.2.bbq \(\chi_{7280}(2203, \cdot)\) n/a 5344 4

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(7280))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(7280)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(13))\)\(^{\oplus 20}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(14))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(16))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(20))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(26))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(28))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(35))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(40))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(52))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(56))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(65))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(70))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(80))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(91))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(104))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(112))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(130))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(140))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(182))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(208))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(260))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(280))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(364))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(455))\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(520))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(560))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(728))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(910))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1040))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1456))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1820))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(3640))\)\(^{\oplus 2}\)