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Properties

Label 42237.2
Level 42237
Weight 2
Dimension 50906883
Nonzero newspaces 276
Sturm bound 261999360

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Defining parameters

Level: \( N \) = \( 42237 = 3^{2} \cdot 13 \cdot 19^{2} \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 276 \)
Sturm bound: \(261999360\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(42237))\).

Total New Old
Modular forms 65596608 50999645 14596963
Cusp forms 65403073 50906883 14496190
Eisenstein series 193535 92762 100773

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(42237))\)

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
42237.2.a \(\chi_{42237}(1, \cdot)\) 42237.2.a.a 1 1
42237.2.a.b 1
42237.2.a.c 1
42237.2.a.d 1
42237.2.a.e 1
42237.2.a.f 1
42237.2.a.g 2
42237.2.a.h 2
42237.2.a.i 2
42237.2.a.j 2
42237.2.a.k 2
42237.2.a.l 2
42237.2.a.m 2
42237.2.a.n 2
42237.2.a.o 2
42237.2.a.p 2
42237.2.a.q 2
42237.2.a.r 2
42237.2.a.s 2
42237.2.a.t 2
42237.2.a.u 2
42237.2.a.v 3
42237.2.a.w 3
42237.2.a.x 3
42237.2.a.y 3
42237.2.a.z 3
42237.2.a.ba 3
42237.2.a.bb 3
42237.2.a.bc 3
42237.2.a.bd 3
42237.2.a.be 3
42237.2.a.bf 4
42237.2.a.bg 4
42237.2.a.bh 5
42237.2.a.bi 5
42237.2.a.bj 5
42237.2.a.bk 5
42237.2.a.bl 6
42237.2.a.bm 6
42237.2.a.bn 8
42237.2.a.bo 8
42237.2.a.bp 8
42237.2.a.bq 9
42237.2.a.br 9
42237.2.a.bs 9
42237.2.a.bt 9
42237.2.a.bu 9
42237.2.a.bv 9
42237.2.a.bw 9
42237.2.a.bx 10
42237.2.a.by 11
42237.2.a.bz 11
42237.2.a.ca 11
42237.2.a.cb 11
42237.2.a.cc 11
42237.2.a.cd 11
42237.2.a.ce 12
42237.2.a.cf 12
42237.2.a.cg 14
42237.2.a.ch 14
42237.2.a.ci 14
42237.2.a.cj 18
42237.2.a.ck 18
42237.2.a.cl 18
42237.2.a.cm 18
42237.2.a.cn 18
42237.2.a.co 18
42237.2.a.cp 18
42237.2.a.cq 18
42237.2.a.cr 20
42237.2.a.cs 20
42237.2.a.ct 22
42237.2.a.cu 22
42237.2.a.cv 22
42237.2.a.cw 22
42237.2.a.cx 27
42237.2.a.cy 27
42237.2.a.cz 27
42237.2.a.da 27
42237.2.a.db 27
42237.2.a.dc 27
42237.2.a.dd 28
42237.2.a.de 28
42237.2.a.df 30
42237.2.a.dg 30
42237.2.a.dh 33
42237.2.a.di 33
42237.2.a.dj 33
42237.2.a.dk 33
42237.2.a.dl 36
42237.2.a.dm 36
42237.2.a.dn 36
42237.2.a.do 36
42237.2.a.dp 36
42237.2.a.dq 36
42237.2.a.dr 44
42237.2.a.ds 44
42237.2.a.dt 54
42237.2.a.du 54
42237.2.a.dv 66
42237.2.a.dw 66
42237.2.a.dx 72
42237.2.a.dy 72
42237.2.b \(\chi_{42237}(6499, \cdot)\) n/a 1972 1
42237.2.d \(\chi_{42237}(42236, \cdot)\) n/a 1584 1
42237.2.g \(\chi_{42237}(35738, \cdot)\) n/a 1360 1
42237.2.i \(\chi_{42237}(14080, \cdot)\) n/a 8184 2
42237.2.j \(\chi_{42237}(18118, \cdot)\) n/a 3936 2
42237.2.k \(\chi_{42237}(24118, \cdot)\) n/a 9456 2
42237.2.l \(\chi_{42237}(2167, \cdot)\) n/a 9480 2
42237.2.m \(\chi_{42237}(4624, \cdot)\) n/a 9456 2
42237.2.n \(\chi_{42237}(1873, \cdot)\) n/a 3400 2
42237.2.o \(\chi_{42237}(16246, \cdot)\) n/a 3944 2
42237.2.p \(\chi_{42237}(16537, \cdot)\) n/a 8160 2
42237.2.q \(\chi_{42237}(23533, \cdot)\) n/a 9456 2
42237.2.r \(\chi_{42237}(18703, \cdot)\) n/a 3936 2
42237.2.s \(\chi_{42237}(15952, \cdot)\) n/a 8160 2
42237.2.t \(\chi_{42237}(21661, \cdot)\) n/a 9480 2
42237.2.u \(\chi_{42237}(4039, \cdot)\) n/a 9456 2
42237.2.v \(\chi_{42237}(5777, \cdot)\) n/a 3180 2
42237.2.x \(\chi_{42237}(3970, \cdot)\) n/a 3932 2
42237.2.z \(\chi_{42237}(20284, \cdot)\) n/a 9456 2
42237.2.be \(\chi_{42237}(11621, \cdot)\) n/a 9456 2
42237.2.bf \(\chi_{42237}(4625, \cdot)\) n/a 3176 2
42237.2.bg \(\chi_{42237}(11912, \cdot)\) n/a 9456 2
42237.2.bk \(\chi_{42237}(4333, \cdot)\) n/a 9480 2
42237.2.bl \(\chi_{42237}(14869, \cdot)\) n/a 3936 2
42237.2.bm \(\chi_{42237}(22450, \cdot)\) n/a 9456 2
42237.2.bn \(\chi_{42237}(32198, \cdot)\) n/a 9456 2
42237.2.bp \(\chi_{42237}(35447, \cdot)\) n/a 9456 2
42237.2.bq \(\chi_{42237}(5708, \cdot)\) n/a 8160 2
42237.2.br \(\chi_{42237}(9746, \cdot)\) n/a 3176 2
42237.2.ce \(\chi_{42237}(36032, \cdot)\) n/a 9456 2
42237.2.cf \(\chi_{42237}(7874, \cdot)\) n/a 3176 2
42237.2.cg \(\chi_{42237}(7580, \cdot)\) n/a 8160 2
42237.2.ck \(\chi_{42237}(33281, \cdot)\) n/a 2720 2
42237.2.cl \(\chi_{42237}(13289, \cdot)\) n/a 9456 2
42237.2.cm \(\chi_{42237}(15161, \cdot)\) n/a 9456 2
42237.2.ct \(\chi_{42237}(790, \cdot)\) n/a 9456 2
42237.2.cu \(\chi_{42237}(12997, \cdot)\) n/a 3946 2
42237.2.cv \(\chi_{42237}(23035, \cdot)\) n/a 9456 2
42237.2.cw \(\chi_{42237}(32783, \cdot)\) n/a 9456 2
42237.2.cx \(\chi_{42237}(34655, \cdot)\) n/a 9456 2
42237.2.cy \(\chi_{42237}(39779, \cdot)\) n/a 3168 2
42237.2.dc \(\chi_{42237}(4040, \cdot)\) n/a 3176 2
42237.2.dd \(\chi_{42237}(14078, \cdot)\) n/a 9456 2
42237.2.de \(\chi_{42237}(10040, \cdot)\) n/a 9456 2
42237.2.di \(\chi_{42237}(8371, \cdot)\) n/a 3932 2
42237.2.dj \(\chi_{42237}(18412, \cdot)\) n/a 9480 2
42237.2.dk \(\chi_{42237}(20869, \cdot)\) n/a 9456 2
42237.2.do \(\chi_{42237}(1375, \cdot)\) n/a 9456 2
42237.2.dp \(\chi_{42237}(20578, \cdot)\) n/a 9480 2
42237.2.dq \(\chi_{42237}(15454, \cdot)\) n/a 3936 2
42237.2.dx \(\chi_{42237}(12206, \cdot)\) n/a 9456 2
42237.2.dy \(\chi_{42237}(6497, \cdot)\) n/a 3176 2
42237.2.dz \(\chi_{42237}(9455, \cdot)\) n/a 9456 2
42237.2.eb \(\chi_{42237}(12704, \cdot)\) n/a 9456 2
42237.2.ef \(\chi_{42237}(1082, \cdot)\) n/a 9456 2
42237.2.eg \(\chi_{42237}(5123, \cdot)\) n/a 8160 2
42237.2.eh \(\chi_{42237}(7289, \cdot)\) n/a 3176 2
42237.2.em \(\chi_{42237}(1543, \cdot)\) n/a 28368 6
42237.2.en \(\chi_{42237}(6958, \cdot)\) n/a 11802 6
42237.2.eo \(\chi_{42237}(3277, \cdot)\) n/a 10200 6
42237.2.ep \(\chi_{42237}(1498, \cdot)\) n/a 28368 6
42237.2.eq \(\chi_{42237}(7996, \cdot)\) n/a 24480 6
42237.2.er \(\chi_{42237}(2050, \cdot)\) n/a 28368 6
42237.2.es \(\chi_{42237}(1678, \cdot)\) n/a 24480 6
42237.2.et \(\chi_{42237}(9259, \cdot)\) n/a 28368 6
42237.2.eu \(\chi_{42237}(3844, \cdot)\) n/a 11802 6
42237.2.ev \(\chi_{42237}(3902, \cdot)\) n/a 18912 4
42237.2.fa \(\chi_{42237}(11551, \cdot)\) n/a 18912 4
42237.2.fb \(\chi_{42237}(6430, \cdot)\) n/a 18912 4
42237.2.fc \(\chi_{42237}(11845, \cdot)\) n/a 7872 4
42237.2.fg \(\chi_{42237}(1736, \cdot)\) n/a 6352 4
42237.2.fh \(\chi_{42237}(12566, \cdot)\) n/a 18912 4
42237.2.fi \(\chi_{42237}(362, \cdot)\) n/a 18960 4
42237.2.fj \(\chi_{42237}(23758, \cdot)\) n/a 18912 4
42237.2.fo \(\chi_{42237}(10109, \cdot)\) n/a 18960 4
42237.2.fp \(\chi_{42237}(2819, \cdot)\) n/a 18912 4
42237.2.fq \(\chi_{42237}(1151, \cdot)\) n/a 6352 4
42237.2.fr \(\chi_{42237}(5845, \cdot)\) n/a 18912 4
42237.2.fs \(\chi_{42237}(9094, \cdot)\) n/a 18912 4
42237.2.ft \(\chi_{42237}(721, \cdot)\) n/a 7872 4
42237.2.fx \(\chi_{42237}(23173, \cdot)\) n/a 18912 4
42237.2.fy \(\chi_{42237}(25630, \cdot)\) n/a 18912 4
42237.2.fz \(\chi_{42237}(1513, \cdot)\) n/a 7864 4
42237.2.gd \(\chi_{42237}(2528, \cdot)\) n/a 6368 4
42237.2.ge \(\chi_{42237}(2234, \cdot)\) n/a 18912 4
42237.2.gf \(\chi_{42237}(11981, \cdot)\) n/a 18912 4
42237.2.gj \(\chi_{42237}(7649, \cdot)\) n/a 6336 4
42237.2.gk \(\chi_{42237}(1445, \cdot)\) n/a 18960 4
42237.2.gl \(\chi_{42237}(3317, \cdot)\) n/a 18912 4
42237.2.gs \(\chi_{42237}(11260, \cdot)\) n/a 7872 4
42237.2.gt \(\chi_{42237}(8302, \cdot)\) n/a 18912 4
42237.2.gu \(\chi_{42237}(9679, \cdot)\) n/a 18912 4
42237.2.hb \(\chi_{42237}(3709, \cdot)\) n/a 11802 6
42237.2.hc \(\chi_{42237}(3548, \cdot)\) n/a 28368 6
42237.2.hd \(\chi_{42237}(1382, \cdot)\) n/a 28368 6
42237.2.he \(\chi_{42237}(2194, \cdot)\) n/a 28368 6
42237.2.hf \(\chi_{42237}(2950, \cdot)\) n/a 28368 6
42237.2.hg \(\chi_{42237}(6614, \cdot)\) n/a 9516 6
42237.2.hh \(\chi_{42237}(1706, \cdot)\) n/a 28368 6
42237.2.hi \(\chi_{42237}(4304, \cdot)\) n/a 24480 6
42237.2.hj \(\chi_{42237}(4631, \cdot)\) n/a 28368 6
42237.2.hk \(\chi_{42237}(5903, \cdot)\) n/a 8160 6
42237.2.hl \(\chi_{42237}(9863, \cdot)\) n/a 9516 6
42237.2.hm \(\chi_{42237}(1199, \cdot)\) n/a 28368 6
42237.2.il \(\chi_{42237}(12328, \cdot)\) n/a 28368 6
42237.2.im \(\chi_{42237}(5875, \cdot)\) n/a 28368 6
42237.2.in \(\chi_{42237}(8636, \cdot)\) n/a 28368 6
42237.2.io \(\chi_{42237}(3221, \cdot)\) n/a 9516 6
42237.2.ip \(\chi_{42237}(116, \cdot)\) n/a 9528 6
42237.2.iq \(\chi_{42237}(10235, \cdot)\) n/a 28368 6
42237.2.ir \(\chi_{42237}(6010, \cdot)\) n/a 28368 6
42237.2.is \(\chi_{42237}(415, \cdot)\) n/a 11808 6
42237.2.it \(\chi_{42237}(595, \cdot)\) n/a 11802 6
42237.2.iu \(\chi_{42237}(7609, \cdot)\) n/a 28368 6
42237.2.iv \(\chi_{42237}(623, \cdot)\) n/a 28368 6
42237.2.iw \(\chi_{42237}(3917, \cdot)\) n/a 28368 6
42237.2.ix \(\chi_{42237}(6470, \cdot)\) n/a 9516 6
42237.2.iy \(\chi_{42237}(1751, \cdot)\) n/a 28368 6
42237.2.iz \(\chi_{42237}(7697, \cdot)\) n/a 24480 6
42237.2.jg \(\chi_{42237}(2224, \cdot)\) n/a 34200 18
42237.2.jh \(\chi_{42237}(4025, \cdot)\) n/a 56736 12
42237.2.ji \(\chi_{42237}(821, \cdot)\) n/a 56736 12
42237.2.jj \(\chi_{42237}(2555, \cdot)\) n/a 19032 12
42237.2.jk \(\chi_{42237}(3187, \cdot)\) n/a 23604 12
42237.2.jl \(\chi_{42237}(1021, \cdot)\) n/a 56736 12
42237.2.jm \(\chi_{42237}(4594, \cdot)\) n/a 56736 12
42237.2.jz \(\chi_{42237}(262, \cdot)\) n/a 23604 12
42237.2.ka \(\chi_{42237}(2293, \cdot)\) n/a 56736 12
42237.2.kb \(\chi_{42237}(1345, \cdot)\) n/a 56736 12
42237.2.kc \(\chi_{42237}(245, \cdot)\) n/a 56736 12
42237.2.kd \(\chi_{42237}(2228, \cdot)\) n/a 56736 12
42237.2.ke \(\chi_{42237}(2411, \cdot)\) n/a 19032 12
42237.2.kl \(\chi_{42237}(307, \cdot)\) n/a 23616 12
42237.2.km \(\chi_{42237}(10957, \cdot)\) n/a 56736 12
42237.2.kn \(\chi_{42237}(4639, \cdot)\) n/a 56736 12
42237.2.ko \(\chi_{42237}(956, \cdot)\) n/a 56736 12
42237.2.kp \(\chi_{42237}(2039, \cdot)\) n/a 56736 12
42237.2.kq \(\chi_{42237}(5660, \cdot)\) n/a 19056 12
42237.2.ks \(\chi_{42237}(170, \cdot)\) n/a 27360 18
42237.2.kv \(\chi_{42237}(2222, \cdot)\) n/a 31968 18
42237.2.kx \(\chi_{42237}(2053, \cdot)\) n/a 39888 18
42237.2.ky \(\chi_{42237}(1147, \cdot)\) n/a 191376 36
42237.2.kz \(\chi_{42237}(1426, \cdot)\) n/a 191376 36
42237.2.la \(\chi_{42237}(391, \cdot)\) n/a 164160 36
42237.2.lb \(\chi_{42237}(919, \cdot)\) n/a 79704 36
42237.2.lc \(\chi_{42237}(1303, \cdot)\) n/a 191376 36
42237.2.ld \(\chi_{42237}(976, \cdot)\) n/a 164160 36
42237.2.le \(\chi_{42237}(172, \cdot)\) n/a 79704 36
42237.2.lf \(\chi_{42237}(235, \cdot)\) n/a 68400 36
42237.2.lg \(\chi_{42237}(178, \cdot)\) n/a 191376 36
42237.2.lh \(\chi_{42237}(913, \cdot)\) n/a 191376 36
42237.2.li \(\chi_{42237}(1075, \cdot)\) n/a 191376 36
42237.2.lj \(\chi_{42237}(334, \cdot)\) n/a 79704 36
42237.2.lk \(\chi_{42237}(742, \cdot)\) n/a 164160 36
42237.2.lm \(\chi_{42237}(892, \cdot)\) n/a 79776 36
42237.2.lo \(\chi_{42237}(476, \cdot)\) n/a 63936 36
42237.2.lt \(\chi_{42237}(620, \cdot)\) n/a 63792 36
42237.2.lu \(\chi_{42237}(677, \cdot)\) n/a 164160 36
42237.2.lv \(\chi_{42237}(113, \cdot)\) n/a 191376 36
42237.2.lz \(\chi_{42237}(1589, \cdot)\) n/a 191376 36
42237.2.mb \(\chi_{42237}(563, \cdot)\) n/a 191376 36
42237.2.mc \(\chi_{42237}(1538, \cdot)\) n/a 63792 36
42237.2.md \(\chi_{42237}(1091, \cdot)\) n/a 191376 36
42237.2.mk \(\chi_{42237}(1018, \cdot)\) n/a 79704 36
42237.2.ml \(\chi_{42237}(571, \cdot)\) n/a 191376 36
42237.2.mm \(\chi_{42237}(1759, \cdot)\) n/a 191376 36
42237.2.mq \(\chi_{42237}(49, \cdot)\) n/a 191376 36
42237.2.mr \(\chi_{42237}(400, \cdot)\) n/a 191376 36
42237.2.ms \(\chi_{42237}(64, \cdot)\) n/a 79776 36
42237.2.mw \(\chi_{42237}(335, \cdot)\) n/a 191376 36
42237.2.mx \(\chi_{42237}(740, \cdot)\) n/a 191376 36
42237.2.my \(\chi_{42237}(1817, \cdot)\) n/a 63792 36
42237.2.nc \(\chi_{42237}(350, \cdot)\) n/a 63936 36
42237.2.nd \(\chi_{42237}(56, \cdot)\) n/a 191376 36
42237.2.ne \(\chi_{42237}(1661, \cdot)\) n/a 191376 36
42237.2.nf \(\chi_{42237}(805, \cdot)\) n/a 191376 36
42237.2.ng \(\chi_{42237}(1369, \cdot)\) n/a 79704 36
42237.2.nh \(\chi_{42237}(121, \cdot)\) n/a 191376 36
42237.2.no \(\chi_{42237}(1595, \cdot)\) n/a 191376 36
42237.2.np \(\chi_{42237}(1361, \cdot)\) n/a 191376 36
42237.2.nq \(\chi_{42237}(521, \cdot)\) n/a 54720 36
42237.2.nu \(\chi_{42237}(911, \cdot)\) n/a 164160 36
42237.2.nv \(\chi_{42237}(107, \cdot)\) n/a 63792 36
42237.2.nw \(\chi_{42237}(464, \cdot)\) n/a 191376 36
42237.2.oj \(\chi_{42237}(341, \cdot)\) n/a 63792 36
42237.2.ok \(\chi_{42237}(1262, \cdot)\) n/a 164160 36
42237.2.ol \(\chi_{42237}(1433, \cdot)\) n/a 191376 36
42237.2.on \(\chi_{42237}(407, \cdot)\) n/a 191376 36
42237.2.oo \(\chi_{42237}(220, \cdot)\) n/a 191376 36
42237.2.op \(\chi_{42237}(1531, \cdot)\) n/a 79704 36
42237.2.oq \(\chi_{42237}(1141, \cdot)\) n/a 191376 36
42237.2.ou \(\chi_{42237}(569, \cdot)\) n/a 191376 36
42237.2.ov \(\chi_{42237}(179, \cdot)\) n/a 63792 36
42237.2.ow \(\chi_{42237}(506, \cdot)\) n/a 191376 36
42237.2.pb \(\chi_{42237}(277, \cdot)\) n/a 191376 36
42237.2.pc \(\chi_{42237}(55, \cdot)\) n/a 239220 108
42237.2.pd \(\chi_{42237}(367, \cdot)\) n/a 574128 108
42237.2.pe \(\chi_{42237}(859, \cdot)\) n/a 492480 108
42237.2.pf \(\chi_{42237}(529, \cdot)\) n/a 574128 108
42237.2.pg \(\chi_{42237}(157, \cdot)\) n/a 492480 108
42237.2.ph \(\chi_{42237}(61, \cdot)\) n/a 574128 108
42237.2.pi \(\chi_{42237}(118, \cdot)\) n/a 205200 108
42237.2.pj \(\chi_{42237}(100, \cdot)\) n/a 239220 108
42237.2.pk \(\chi_{42237}(16, \cdot)\) n/a 574128 108
42237.2.pl \(\chi_{42237}(787, \cdot)\) n/a 382752 72
42237.2.pm \(\chi_{42237}(151, \cdot)\) n/a 382752 72
42237.2.pn \(\chi_{42237}(46, \cdot)\) n/a 159408 72
42237.2.pu \(\chi_{42237}(254, \cdot)\) n/a 382752 72
42237.2.pv \(\chi_{42237}(20, \cdot)\) n/a 382752 72
42237.2.pw \(\chi_{42237}(125, \cdot)\) n/a 127872 72
42237.2.qa \(\chi_{42237}(824, \cdot)\) n/a 382752 72
42237.2.qb \(\chi_{42237}(11, \cdot)\) n/a 382752 72
42237.2.qc \(\chi_{42237}(305, \cdot)\) n/a 127584 72
42237.2.qg \(\chi_{42237}(658, \cdot)\) n/a 159552 72
42237.2.qh \(\chi_{42237}(778, \cdot)\) n/a 382752 72
42237.2.qi \(\chi_{42237}(943, \cdot)\) n/a 382752 72
42237.2.qm \(\chi_{42237}(37, \cdot)\) n/a 159408 72
42237.2.qn \(\chi_{42237}(202, \cdot)\) n/a 382752 72
42237.2.qo \(\chi_{42237}(31, \cdot)\) n/a 382752 72
42237.2.qp \(\chi_{42237}(197, \cdot)\) n/a 127584 72
42237.2.qq \(\chi_{42237}(410, \cdot)\) n/a 382752 72
42237.2.qr \(\chi_{42237}(590, \cdot)\) n/a 382752 72
42237.2.qw \(\chi_{42237}(331, \cdot)\) n/a 382752 72
42237.2.qx \(\chi_{42237}(704, \cdot)\) n/a 382752 72
42237.2.qy \(\chi_{42237}(83, \cdot)\) n/a 382752 72
42237.2.qz \(\chi_{42237}(539, \cdot)\) n/a 127584 72
42237.2.rd \(\chi_{42237}(388, \cdot)\) n/a 159408 72
42237.2.re \(\chi_{42237}(616, \cdot)\) n/a 382752 72
42237.2.rf \(\chi_{42237}(436, \cdot)\) n/a 382752 72
42237.2.rk \(\chi_{42237}(695, \cdot)\) n/a 382752 72
42237.2.rr \(\chi_{42237}(326, \cdot)\) n/a 492480 108
42237.2.rs \(\chi_{42237}(29, \cdot)\) n/a 574128 108
42237.2.rt \(\chi_{42237}(458, \cdot)\) n/a 191592 108
42237.2.ru \(\chi_{42237}(173, \cdot)\) n/a 574128 108
42237.2.rv \(\chi_{42237}(896, \cdot)\) n/a 574128 108
42237.2.rw \(\chi_{42237}(4, \cdot)\) n/a 574128 108
42237.2.rx \(\chi_{42237}(712, \cdot)\) n/a 239220 108
42237.2.ry \(\chi_{42237}(766, \cdot)\) n/a 239112 108
42237.2.rz \(\chi_{42237}(283, \cdot)\) n/a 574128 108
42237.2.sa \(\chi_{42237}(725, \cdot)\) n/a 574128 108
42237.2.sb \(\chi_{42237}(584, \cdot)\) n/a 191376 108
42237.2.sc \(\chi_{42237}(953, \cdot)\) n/a 191592 108
42237.2.sd \(\chi_{42237}(680, \cdot)\) n/a 574128 108
42237.2.se \(\chi_{42237}(25, \cdot)\) n/a 574128 108
42237.2.sf \(\chi_{42237}(43, \cdot)\) n/a 574128 108
42237.2.te \(\chi_{42237}(497, \cdot)\) n/a 574128 108
42237.2.tf \(\chi_{42237}(224, \cdot)\) n/a 191592 108
42237.2.tg \(\chi_{42237}(53, \cdot)\) n/a 164160 108
42237.2.th \(\chi_{42237}(185, \cdot)\) n/a 574128 108
42237.2.ti \(\chi_{42237}(14, \cdot)\) n/a 492480 108
42237.2.tj \(\chi_{42237}(770, \cdot)\) n/a 574128 108
42237.2.tk \(\chi_{42237}(413, \cdot)\) n/a 191592 108
42237.2.tl \(\chi_{42237}(688, \cdot)\) n/a 574128 108
42237.2.tm \(\chi_{42237}(472, \cdot)\) n/a 574128 108
42237.2.tn \(\chi_{42237}(212, \cdot)\) n/a 574128 108
42237.2.to \(\chi_{42237}(155, \cdot)\) n/a 574128 108
42237.2.tp \(\chi_{42237}(82, \cdot)\) n/a 239220 108
42237.2.tw \(\chi_{42237}(124, \cdot)\) n/a 1148256 216
42237.2.tx \(\chi_{42237}(67, \cdot)\) n/a 1148256 216
42237.2.ty \(\chi_{42237}(109, \cdot)\) n/a 478224 216
42237.2.tz \(\chi_{42237}(44, \cdot)\) n/a 382752 216
42237.2.ua \(\chi_{42237}(158, \cdot)\) n/a 1148256 216
42237.2.ub \(\chi_{42237}(137, \cdot)\) n/a 1148256 216
42237.2.ui \(\chi_{42237}(223, \cdot)\) n/a 1148256 216
42237.2.uj \(\chi_{42237}(34, \cdot)\) n/a 1148256 216
42237.2.uk \(\chi_{42237}(136, \cdot)\) n/a 478440 216
42237.2.ul \(\chi_{42237}(80, \cdot)\) n/a 383184 216
42237.2.um \(\chi_{42237}(5, \cdot)\) n/a 1148256 216
42237.2.un \(\chi_{42237}(119, \cdot)\) n/a 1148256 216
42237.2.va \(\chi_{42237}(206, \cdot)\) n/a 383184 216
42237.2.vb \(\chi_{42237}(149, \cdot)\) n/a 1148256 216
42237.2.vc \(\chi_{42237}(434, \cdot)\) n/a 1148256 216
42237.2.vd \(\chi_{42237}(148, \cdot)\) n/a 1148256 216
42237.2.ve \(\chi_{42237}(466, \cdot)\) n/a 1148256 216
42237.2.vf \(\chi_{42237}(154, \cdot)\) n/a 478440 216

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(42237))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(42237)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(1))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(3))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(9))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(13))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(19))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(39))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(57))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(117))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(171))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(247))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(361))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(741))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1083))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2223))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(3249))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(4693))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(14079))\)\(^{\oplus 2}\)