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Properties

Label 8029.2
Level 8029
Weight 2
Dimension 2498059
Nonzero newspaces 276
Sturm bound 10506240

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Defining parameters

Level: \( N \) = \( 8029 = 7 \cdot 31 \cdot 37 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 276 \)
Sturm bound: \(10506240\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(8029))\).

Total New Old
Modular forms 2639520 2518355 121165
Cusp forms 2613601 2498059 115542
Eisenstein series 25919 20296 5623

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(8029))\)

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
8029.2.a \(\chi_{8029}(1, \cdot)\) 8029.2.a.a 64 1
8029.2.a.b 64
8029.2.a.c 66
8029.2.a.d 66
8029.2.a.e 69
8029.2.a.f 69
8029.2.a.g 70
8029.2.a.h 71
8029.2.d \(\chi_{8029}(6511, \cdot)\) n/a 572 1
8029.2.e \(\chi_{8029}(8028, \cdot)\) n/a 804 1
8029.2.h \(\chi_{8029}(1518, \cdot)\) n/a 768 1
8029.2.i \(\chi_{8029}(3229, \cdot)\) n/a 1612 2
8029.2.j \(\chi_{8029}(149, \cdot)\) n/a 1536 2
8029.2.k \(\chi_{8029}(4589, \cdot)\) n/a 1440 2
8029.2.l \(\chi_{8029}(2822, \cdot)\) n/a 1136 2
8029.2.m \(\chi_{8029}(470, \cdot)\) n/a 1216 2
8029.2.n \(\chi_{8029}(1675, \cdot)\) n/a 1520 2
8029.2.o \(\chi_{8029}(211, \cdot)\) n/a 1216 2
8029.2.p \(\chi_{8029}(2970, \cdot)\) n/a 1612 2
8029.2.q \(\chi_{8029}(408, \cdot)\) n/a 1536 2
8029.2.r \(\chi_{8029}(1296, \cdot)\) n/a 1152 2
8029.2.s \(\chi_{8029}(676, \cdot)\) n/a 1612 2
8029.2.t \(\chi_{8029}(935, \cdot)\) n/a 1612 2
8029.2.u \(\chi_{8029}(5798, \cdot)\) n/a 1520 2
8029.2.x \(\chi_{8029}(993, \cdot)\) n/a 1520 2
8029.2.y \(\chi_{8029}(5951, \cdot)\) n/a 1216 2
8029.2.z \(\chi_{8029}(1814, \cdot)\) n/a 2304 4
8029.2.bc \(\chi_{8029}(1803, \cdot)\) n/a 1612 2
8029.2.bd \(\chi_{8029}(677, \cdot)\) n/a 1612 2
8029.2.be \(\chi_{8029}(6474, \cdot)\) n/a 1616 2
8029.2.bf \(\chi_{8029}(1544, \cdot)\) n/a 1612 2
8029.2.bg \(\chi_{8029}(36, \cdot)\) n/a 1216 2
8029.2.bh \(\chi_{8029}(936, \cdot)\) n/a 1612 2
8029.2.bo \(\chi_{8029}(619, \cdot)\) n/a 1616 2
8029.2.bp \(\chi_{8029}(249, \cdot)\) n/a 1520 2
8029.2.bw \(\chi_{8029}(3044, \cdot)\) n/a 1616 2
8029.2.bx \(\chi_{8029}(3874, \cdot)\) n/a 1616 2
8029.2.by \(\chi_{8029}(1370, \cdot)\) n/a 1536 2
8029.2.bz \(\chi_{8029}(2579, \cdot)\) n/a 1612 2
8029.2.ca \(\chi_{8029}(433, \cdot)\) n/a 1608 2
8029.2.cb \(\chi_{8029}(2665, \cdot)\) n/a 1536 2
8029.2.co \(\chi_{8029}(1111, \cdot)\) n/a 1536 2
8029.2.cp \(\chi_{8029}(2320, \cdot)\) n/a 1612 2
8029.2.cq \(\chi_{8029}(2785, \cdot)\) n/a 1616 2
8029.2.cx \(\chi_{8029}(2543, \cdot)\) n/a 1520 2
8029.2.cy \(\chi_{8029}(1121, \cdot)\) n/a 1216 2
8029.2.cz \(\chi_{8029}(1084, \cdot)\) n/a 1608 2
8029.2.da \(\chi_{8029}(1146, \cdot)\) n/a 1616 2
8029.2.db \(\chi_{8029}(1886, \cdot)\) n/a 1612 2
8029.2.dc \(\chi_{8029}(3230, \cdot)\) n/a 1612 2
8029.2.dd \(\chi_{8029}(3070, \cdot)\) n/a 1520 2
8029.2.de \(\chi_{8029}(3690, \cdot)\) n/a 1144 2
8029.2.df \(\chi_{8029}(4097, \cdot)\) n/a 1612 2
8029.2.dg \(\chi_{8029}(4624, \cdot)\) n/a 1612 2
8029.2.dh \(\chi_{8029}(4525, \cdot)\) n/a 1616 2
8029.2.di \(\chi_{8029}(3912, \cdot)\) n/a 1616 2
8029.2.dv \(\chi_{8029}(4365, \cdot)\) n/a 1612 2
8029.2.dw \(\chi_{8029}(2971, \cdot)\) n/a 1612 2
8029.2.dx \(\chi_{8029}(3653, \cdot)\) n/a 1616 2
8029.2.dy \(\chi_{8029}(862, \cdot)\) n/a 1216 2
8029.2.dz \(\chi_{8029}(3838, \cdot)\) n/a 1612 2
8029.2.ea \(\chi_{8029}(2145, \cdot)\) n/a 1612 2
8029.2.ed \(\chi_{8029}(285, \cdot)\) n/a 1612 2
8029.2.ee \(\chi_{8029}(223, \cdot)\) n/a 1536 2
8029.2.ef \(\chi_{8029}(26, \cdot)\) n/a 1612 2
8029.2.em \(\chi_{8029}(1580, \cdot)\) n/a 1616 2
8029.2.en \(\chi_{8029}(2671, \cdot)\) n/a 4842 6
8029.2.eo \(\chi_{8029}(366, \cdot)\) n/a 4842 6
8029.2.ep \(\chi_{8029}(2412, \cdot)\) n/a 4842 6
8029.2.eq \(\chi_{8029}(645, \cdot)\) n/a 3648 6
8029.2.er \(\chi_{8029}(904, \cdot)\) n/a 3648 6
8029.2.es \(\chi_{8029}(625, \cdot)\) n/a 4842 6
8029.2.et \(\chi_{8029}(218, \cdot)\) n/a 3408 6
8029.2.eu \(\chi_{8029}(900, \cdot)\) n/a 4560 6
8029.2.ev \(\chi_{8029}(1117, \cdot)\) n/a 4560 6
8029.2.ew \(\chi_{8029}(2813, \cdot)\) n/a 3072 4
8029.2.ez \(\chi_{8029}(295, \cdot)\) n/a 2432 4
8029.2.fa \(\chi_{8029}(1294, \cdot)\) n/a 3216 4
8029.2.fl \(\chi_{8029}(1916, \cdot)\) n/a 3224 4
8029.2.fm \(\chi_{8029}(347, \cdot)\) n/a 3224 4
8029.2.fn \(\chi_{8029}(4397, \cdot)\) n/a 2432 4
8029.2.fo \(\chi_{8029}(2175, \cdot)\) n/a 3224 4
8029.2.fp \(\chi_{8029}(2288, \cdot)\) n/a 3232 4
8029.2.fq \(\chi_{8029}(88, \cdot)\) n/a 3224 4
8029.2.fr \(\chi_{8029}(3435, \cdot)\) n/a 3224 4
8029.2.fs \(\chi_{8029}(125, \cdot)\) n/a 3040 4
8029.2.ft \(\chi_{8029}(2878, \cdot)\) n/a 2432 4
8029.2.fu \(\chi_{8029}(2382, \cdot)\) n/a 3224 4
8029.2.fv \(\chi_{8029}(991, \cdot)\) n/a 3232 4
8029.2.fw \(\chi_{8029}(2510, \cdot)\) n/a 3232 4
8029.2.fx \(\chi_{8029}(1028, \cdot)\) n/a 3232 4
8029.2.fy \(\chi_{8029}(304, \cdot)\) n/a 3224 4
8029.2.fz \(\chi_{8029}(1272, \cdot)\) n/a 3040 4
8029.2.ga \(\chi_{8029}(2140, \cdot)\) n/a 3040 4
8029.2.gb \(\chi_{8029}(956, \cdot)\) n/a 3224 4
8029.2.gc \(\chi_{8029}(526, \cdot)\) n/a 2432 4
8029.2.gv \(\chi_{8029}(1642, \cdot)\) n/a 3232 4
8029.2.gw \(\chi_{8029}(621, \cdot)\) n/a 3040 4
8029.2.gx \(\chi_{8029}(563, \cdot)\) n/a 3224 4
8029.2.gy \(\chi_{8029}(1215, \cdot)\) n/a 3224 4
8029.2.gz \(\chi_{8029}(3137, \cdot)\) n/a 2432 4
8029.2.ha \(\chi_{8029}(3694, \cdot)\) n/a 3224 4
8029.2.hb \(\chi_{8029}(769, \cdot)\) n/a 3232 4
8029.2.hc \(\chi_{8029}(2641, \cdot)\) n/a 3224 4
8029.2.hd \(\chi_{8029}(1194, \cdot)\) n/a 6464 8
8029.2.he \(\chi_{8029}(359, \cdot)\) n/a 6448 8
8029.2.hf \(\chi_{8029}(1037, \cdot)\) n/a 4608 8
8029.2.hg \(\chi_{8029}(100, \cdot)\) n/a 6448 8
8029.2.hh \(\chi_{8029}(121, \cdot)\) n/a 6448 8
8029.2.hi \(\chi_{8029}(1247, \cdot)\) n/a 4864 8
8029.2.hj \(\chi_{8029}(1444, \cdot)\) n/a 6144 8
8029.2.hk \(\chi_{8029}(1185, \cdot)\) n/a 6144 8
8029.2.hl \(\chi_{8029}(1157, \cdot)\) n/a 6448 8
8029.2.hm \(\chi_{8029}(729, \cdot)\) n/a 4864 8
8029.2.hn \(\chi_{8029}(667, \cdot)\) n/a 6144 8
8029.2.ho \(\chi_{8029}(1268, \cdot)\) n/a 4864 8
8029.2.hp \(\chi_{8029}(380, \cdot)\) n/a 6464 8
8029.2.hw \(\chi_{8029}(1797, \cdot)\) n/a 4836 6
8029.2.hx \(\chi_{8029}(435, \cdot)\) n/a 3432 6
8029.2.hy \(\chi_{8029}(373, \cdot)\) n/a 4560 6
8029.2.hz \(\chi_{8029}(929, \cdot)\) n/a 4836 6
8029.2.ia \(\chi_{8029}(650, \cdot)\) n/a 4848 6
8029.2.ib \(\chi_{8029}(1024, \cdot)\) n/a 4560 6
8029.2.ic \(\chi_{8029}(1328, \cdot)\) n/a 4842 6
8029.2.id \(\chi_{8029}(440, \cdot)\) n/a 4836 6
8029.2.ie \(\chi_{8029}(192, \cdot)\) n/a 4842 6
8029.2.if \(\chi_{8029}(181, \cdot)\) n/a 4836 6
8029.2.ig \(\chi_{8029}(1452, \cdot)\) n/a 4842 6
8029.2.ih \(\chi_{8029}(367, \cdot)\) n/a 4842 6
8029.2.jg \(\chi_{8029}(398, \cdot)\) n/a 4836 6
8029.2.jh \(\chi_{8029}(2630, \cdot)\) n/a 4842 6
8029.2.ji \(\chi_{8029}(284, \cdot)\) n/a 4842 6
8029.2.jj \(\chi_{8029}(67, \cdot)\) n/a 4842 6
8029.2.jk \(\chi_{8029}(842, \cdot)\) n/a 4842 6
8029.2.jl \(\chi_{8029}(428, \cdot)\) n/a 3648 6
8029.2.jm \(\chi_{8029}(243, \cdot)\) n/a 4842 6
8029.2.jn \(\chi_{8029}(657, \cdot)\) n/a 4836 6
8029.2.jo \(\chi_{8029}(502, \cdot)\) n/a 4842 6
8029.2.jp \(\chi_{8029}(2537, \cdot)\) n/a 4842 6
8029.2.jq \(\chi_{8029}(25, \cdot)\) n/a 4842 6
8029.2.jr \(\chi_{8029}(687, \cdot)\) n/a 3648 6
8029.2.js \(\chi_{8029}(712, \cdot)\) n/a 4836 6
8029.2.jt \(\chi_{8029}(1270, \cdot)\) n/a 4836 6
8029.2.ju \(\chi_{8029}(867, \cdot)\) n/a 4848 6
8029.2.kb \(\chi_{8029}(302, \cdot)\) n/a 4864 8
8029.2.kc \(\chi_{8029}(783, \cdot)\) n/a 6432 8
8029.2.kf \(\chi_{8029}(1046, \cdot)\) n/a 6464 8
8029.2.km \(\chi_{8029}(269, \cdot)\) n/a 6448 8
8029.2.kn \(\chi_{8029}(787, \cdot)\) n/a 6448 8
8029.2.ko \(\chi_{8029}(482, \cdot)\) n/a 6144 8
8029.2.kr \(\chi_{8029}(443, \cdot)\) n/a 6448 8
8029.2.ks \(\chi_{8029}(48, \cdot)\) n/a 6464 8
8029.2.kt \(\chi_{8029}(1158, \cdot)\) n/a 6448 8
8029.2.ku \(\chi_{8029}(989, \cdot)\) n/a 6448 8
8029.2.kv \(\chi_{8029}(603, \cdot)\) n/a 4864 8
8029.2.kw \(\chi_{8029}(1109, \cdot)\) n/a 6448 8
8029.2.lj \(\chi_{8029}(529, \cdot)\) n/a 6464 8
8029.2.lk \(\chi_{8029}(2136, \cdot)\) n/a 4864 8
8029.2.ll \(\chi_{8029}(1627, \cdot)\) n/a 6464 8
8029.2.lm \(\chi_{8029}(27, \cdot)\) n/a 6432 8
8029.2.ln \(\chi_{8029}(2194, \cdot)\) n/a 6448 8
8029.2.lo \(\chi_{8029}(73, \cdot)\) n/a 6448 8
8029.2.lp \(\chi_{8029}(64, \cdot)\) n/a 4864 8
8029.2.lq \(\chi_{8029}(221, \cdot)\) n/a 6464 8
8029.2.lr \(\chi_{8029}(2552, \cdot)\) n/a 6448 8
8029.2.ls \(\chi_{8029}(2025, \cdot)\) n/a 6448 8
8029.2.lt \(\chi_{8029}(122, \cdot)\) n/a 6464 8
8029.2.lu \(\chi_{8029}(1602, \cdot)\) n/a 6464 8
8029.2.mb \(\chi_{8029}(75, \cdot)\) n/a 6144 8
8029.2.mc \(\chi_{8029}(972, \cdot)\) n/a 6464 8
8029.2.md \(\chi_{8029}(507, \cdot)\) n/a 6448 8
8029.2.mq \(\chi_{8029}(951, \cdot)\) n/a 6464 8
8029.2.mr \(\chi_{8029}(306, \cdot)\) n/a 6464 8
8029.2.ms \(\chi_{8029}(1543, \cdot)\) n/a 6448 8
8029.2.mt \(\chi_{8029}(334, \cdot)\) n/a 6144 8
8029.2.mu \(\chi_{8029}(556, \cdot)\) n/a 6144 8
8029.2.mv \(\chi_{8029}(1728, \cdot)\) n/a 6432 8
8029.2.nc \(\chi_{8029}(418, \cdot)\) n/a 6464 8
8029.2.nd \(\chi_{8029}(233, \cdot)\) n/a 6464 8
8029.2.nk \(\chi_{8029}(751, \cdot)\) n/a 6448 8
8029.2.nl \(\chi_{8029}(517, \cdot)\) n/a 6464 8
8029.2.nm \(\chi_{8029}(1655, \cdot)\) n/a 6448 8
8029.2.nn \(\chi_{8029}(813, \cdot)\) n/a 4864 8
8029.2.no \(\chi_{8029}(1010, \cdot)\) n/a 6448 8
8029.2.np \(\chi_{8029}(1137, \cdot)\) n/a 6448 8
8029.2.nv \(\chi_{8029}(187, \cdot)\) n/a 9120 12
8029.2.nw \(\chi_{8029}(5, \cdot)\) n/a 9684 12
8029.2.nx \(\chi_{8029}(594, \cdot)\) n/a 9672 12
8029.2.ob \(\chi_{8029}(254, \cdot)\) n/a 9684 12
8029.2.oc \(\chi_{8029}(92, \cdot)\) n/a 7296 12
8029.2.od \(\chi_{8029}(688, \cdot)\) n/a 9684 12
8029.2.oh \(\chi_{8029}(316, \cdot)\) n/a 7296 12
8029.2.oi \(\chi_{8029}(557, \cdot)\) n/a 9672 12
8029.2.oj \(\chi_{8029}(130, \cdot)\) n/a 9684 12
8029.2.ok \(\chi_{8029}(335, \cdot)\) n/a 9672 12
8029.2.ol \(\chi_{8029}(94, \cdot)\) n/a 9120 12
8029.2.om \(\chi_{8029}(87, \cdot)\) n/a 9684 12
8029.2.oq \(\chi_{8029}(180, \cdot)\) n/a 9684 12
8029.2.or \(\chi_{8029}(3163, \cdot)\) n/a 9120 12
8029.2.os \(\chi_{8029}(129, \cdot)\) n/a 9684 12
8029.2.ow \(\chi_{8029}(464, \cdot)\) n/a 9672 12
8029.2.ox \(\chi_{8029}(57, \cdot)\) n/a 7296 12
8029.2.oy \(\chi_{8029}(1948, \cdot)\) n/a 9684 12
8029.2.pc \(\chi_{8029}(1082, \cdot)\) n/a 19368 24
8029.2.pd \(\chi_{8029}(638, \cdot)\) n/a 14592 24
8029.2.pe \(\chi_{8029}(9, \cdot)\) n/a 19368 24
8029.2.pf \(\chi_{8029}(71, \cdot)\) n/a 14592 24
8029.2.pg \(\chi_{8029}(107, \cdot)\) n/a 19368 24
8029.2.ph \(\chi_{8029}(144, \cdot)\) n/a 19368 24
8029.2.pi \(\chi_{8029}(16, \cdot)\) n/a 19344 24
8029.2.pj \(\chi_{8029}(219, \cdot)\) n/a 19344 24
8029.2.pk \(\chi_{8029}(715, \cdot)\) n/a 14592 24
8029.2.pl \(\chi_{8029}(282, \cdot)\) n/a 12896 16
8029.2.pm \(\chi_{8029}(1622, \cdot)\) n/a 12896 16
8029.2.pn \(\chi_{8029}(510, \cdot)\) n/a 12928 16
8029.2.po \(\chi_{8029}(179, \cdot)\) n/a 12896 16
8029.2.pp \(\chi_{8029}(393, \cdot)\) n/a 9728 16
8029.2.pq \(\chi_{8029}(236, \cdot)\) n/a 12896 16
8029.2.pr \(\chi_{8029}(171, \cdot)\) n/a 12928 16
8029.2.ps \(\chi_{8029}(60, \cdot)\) n/a 12928 16
8029.2.ql \(\chi_{8029}(29, \cdot)\) n/a 9728 16
8029.2.qm \(\chi_{8029}(228, \cdot)\) n/a 12896 16
8029.2.qn \(\chi_{8029}(66, \cdot)\) n/a 12928 16
8029.2.qo \(\chi_{8029}(376, \cdot)\) n/a 12928 16
8029.2.qp \(\chi_{8029}(1161, \cdot)\) n/a 12928 16
8029.2.qq \(\chi_{8029}(45, \cdot)\) n/a 12896 16
8029.2.qr \(\chi_{8029}(23, \cdot)\) n/a 12928 16
8029.2.qs \(\chi_{8029}(401, \cdot)\) n/a 12928 16
8029.2.qt \(\chi_{8029}(911, \cdot)\) n/a 9728 16
8029.2.qu \(\chi_{8029}(569, \cdot)\) n/a 12896 16
8029.2.qv \(\chi_{8029}(97, \cdot)\) n/a 12864 16
8029.2.qw \(\chi_{8029}(80, \cdot)\) n/a 12896 16
8029.2.qx \(\chi_{8029}(415, \cdot)\) n/a 12896 16
8029.2.qy \(\chi_{8029}(82, \cdot)\) n/a 12896 16
8029.2.qz \(\chi_{8029}(475, \cdot)\) n/a 12928 16
8029.2.ra \(\chi_{8029}(177, \cdot)\) n/a 12896 16
8029.2.rb \(\chi_{8029}(43, \cdot)\) n/a 9728 16
8029.2.rc \(\chi_{8029}(948, \cdot)\) n/a 12896 16
8029.2.rl \(\chi_{8029}(4, \cdot)\) n/a 19344 24
8029.2.rm \(\chi_{8029}(139, \cdot)\) n/a 19392 24
8029.2.rn \(\chi_{8029}(213, \cdot)\) n/a 19344 24
8029.2.ro \(\chi_{8029}(95, \cdot)\) n/a 19344 24
8029.2.rp \(\chi_{8029}(78, \cdot)\) n/a 14592 24
8029.2.rq \(\chi_{8029}(178, \cdot)\) n/a 19344 24
8029.2.sj \(\chi_{8029}(12, \cdot)\) n/a 19368 24
8029.2.sk \(\chi_{8029}(229, \cdot)\) n/a 19368 24
8029.2.sl \(\chi_{8029}(451, \cdot)\) n/a 19368 24
8029.2.sm \(\chi_{8029}(601, \cdot)\) n/a 19344 24
8029.2.sn \(\chi_{8029}(34, \cdot)\) n/a 19344 24
8029.2.so \(\chi_{8029}(145, \cdot)\) n/a 19368 24
8029.2.sp \(\chi_{8029}(400, \cdot)\) n/a 14592 24
8029.2.sq \(\chi_{8029}(226, \cdot)\) n/a 19368 24
8029.2.sr \(\chi_{8029}(724, \cdot)\) n/a 19368 24
8029.2.ss \(\chi_{8029}(115, \cdot)\) n/a 19368 24
8029.2.st \(\chi_{8029}(3, \cdot)\) n/a 19368 24
8029.2.su \(\chi_{8029}(104, \cdot)\) n/a 19344 24
8029.2.sv \(\chi_{8029}(410, \cdot)\) n/a 19368 24
8029.2.sw \(\chi_{8029}(169, \cdot)\) n/a 14592 24
8029.2.sx \(\chi_{8029}(317, \cdot)\) n/a 19368 24
8029.2.sy \(\chi_{8029}(102, \cdot)\) n/a 19368 24
8029.2.sz \(\chi_{8029}(136, \cdot)\) n/a 19368 24
8029.2.ta \(\chi_{8029}(321, \cdot)\) n/a 19344 24
8029.2.tt \(\chi_{8029}(678, \cdot)\) n/a 19392 24
8029.2.tu \(\chi_{8029}(488, \cdot)\) n/a 19344 24
8029.2.tv \(\chi_{8029}(108, \cdot)\) n/a 19344 24
8029.2.tz \(\chi_{8029}(116, \cdot)\) n/a 38688 48
8029.2.ua \(\chi_{8029}(135, \cdot)\) n/a 38736 48
8029.2.ub \(\chi_{8029}(22, \cdot)\) n/a 29184 48
8029.2.uf \(\chi_{8029}(19, \cdot)\) n/a 38736 48
8029.2.ug \(\chi_{8029}(202, \cdot)\) n/a 38784 48
8029.2.uh \(\chi_{8029}(131, \cdot)\) n/a 38736 48
8029.2.ul \(\chi_{8029}(76, \cdot)\) n/a 38688 48
8029.2.um \(\chi_{8029}(264, \cdot)\) n/a 38688 48
8029.2.un \(\chi_{8029}(143, \cdot)\) n/a 38736 48
8029.2.uo \(\chi_{8029}(106, \cdot)\) n/a 29184 48
8029.2.up \(\chi_{8029}(240, \cdot)\) n/a 38688 48
8029.2.uq \(\chi_{8029}(172, \cdot)\) n/a 38736 48
8029.2.uu \(\chi_{8029}(79, \cdot)\) n/a 38736 48
8029.2.uv \(\chi_{8029}(15, \cdot)\) n/a 29184 48
8029.2.uw \(\chi_{8029}(520, \cdot)\) n/a 38736 48
8029.2.va \(\chi_{8029}(283, \cdot)\) n/a 38688 48
8029.2.vb \(\chi_{8029}(20, \cdot)\) n/a 38688 48
8029.2.vc \(\chi_{8029}(59, \cdot)\) n/a 38736 48

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(8029))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(8029)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(31))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(37))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(217))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(259))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1147))\)\(^{\oplus 2}\)