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Properties

Label 44100.2
Level 44100
Weight 2
Dimension 20732116
Nonzero newspaces 240
Sturm bound 203212800

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Defining parameters

Level: \( N \) = \( 44100 = 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 240 \)
Sturm bound: \(203212800\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(44100))\).

Total New Old
Modular forms 50937600 20767908 30169692
Cusp forms 50668801 20732116 29936685
Eisenstein series 268799 35792 233007

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(44100))\)

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
44100.2.a \(\chi_{44100}(1, \cdot)\) 44100.2.a.a 1 1
44100.2.a.b 1
44100.2.a.c 1
44100.2.a.d 1
44100.2.a.e 1
44100.2.a.f 1
44100.2.a.g 1
44100.2.a.h 1
44100.2.a.i 1
44100.2.a.j 1
44100.2.a.k 1
44100.2.a.l 1
44100.2.a.m 1
44100.2.a.n 1
44100.2.a.o 1
44100.2.a.p 1
44100.2.a.q 1
44100.2.a.r 1
44100.2.a.s 1
44100.2.a.t 1
44100.2.a.u 1
44100.2.a.v 1
44100.2.a.w 1
44100.2.a.x 1
44100.2.a.y 1
44100.2.a.z 1
44100.2.a.ba 1
44100.2.a.bb 1
44100.2.a.bc 1
44100.2.a.bd 1
44100.2.a.be 1
44100.2.a.bf 1
44100.2.a.bg 1
44100.2.a.bh 1
44100.2.a.bi 1
44100.2.a.bj 1
44100.2.a.bk 1
44100.2.a.bl 1
44100.2.a.bm 1
44100.2.a.bn 1
44100.2.a.bo 1
44100.2.a.bp 1
44100.2.a.bq 1
44100.2.a.br 1
44100.2.a.bs 1
44100.2.a.bt 1
44100.2.a.bu 1
44100.2.a.bv 1
44100.2.a.bw 1
44100.2.a.bx 1
44100.2.a.by 1
44100.2.a.bz 1
44100.2.a.ca 1
44100.2.a.cb 1
44100.2.a.cc 1
44100.2.a.cd 1
44100.2.a.ce 1
44100.2.a.cf 1
44100.2.a.cg 1
44100.2.a.ch 1
44100.2.a.ci 1
44100.2.a.cj 1
44100.2.a.ck 1
44100.2.a.cl 1
44100.2.a.cm 1
44100.2.a.cn 1
44100.2.a.co 1
44100.2.a.cp 1
44100.2.a.cq 1
44100.2.a.cr 1
44100.2.a.cs 1
44100.2.a.ct 1
44100.2.a.cu 1
44100.2.a.cv 1
44100.2.a.cw 1
44100.2.a.cx 1
44100.2.a.cy 1
44100.2.a.cz 1
44100.2.a.da 1
44100.2.a.db 1
44100.2.a.dc 1
44100.2.a.dd 1
44100.2.a.de 1
44100.2.a.df 1
44100.2.a.dg 1
44100.2.a.dh 1
44100.2.a.di 1
44100.2.a.dj 1
44100.2.a.dk 1
44100.2.a.dl 1
44100.2.a.dm 1
44100.2.a.dn 1
44100.2.a.do 1
44100.2.a.dp 1
44100.2.a.dq 1
44100.2.a.dr 1
44100.2.a.ds 1
44100.2.a.dt 1
44100.2.a.du 2
44100.2.a.dv 2
44100.2.a.dw 2
44100.2.a.dx 2
44100.2.a.dy 2
44100.2.a.dz 2
44100.2.a.ea 2
44100.2.a.eb 2
44100.2.a.ec 2
44100.2.a.ed 2
44100.2.a.ee 2
44100.2.a.ef 2
44100.2.a.eg 2
44100.2.a.eh 2
44100.2.a.ei 2
44100.2.a.ej 2
44100.2.a.ek 2
44100.2.a.el 2
44100.2.a.em 2
44100.2.a.en 2
44100.2.a.eo 2
44100.2.a.ep 2
44100.2.a.eq 2
44100.2.a.er 2
44100.2.a.es 2
44100.2.a.et 2
44100.2.a.eu 2
44100.2.a.ev 2
44100.2.a.ew 2
44100.2.a.ex 2
44100.2.a.ey 2
44100.2.a.ez 3
44100.2.a.fa 3
44100.2.a.fb 3
44100.2.a.fc 3
44100.2.a.fd 3
44100.2.a.fe 3
44100.2.a.ff 3
44100.2.a.fg 3
44100.2.a.fh 4
44100.2.a.fi 4
44100.2.a.fj 4
44100.2.a.fk 4
44100.2.a.fl 4
44100.2.a.fm 4
44100.2.a.fn 4
44100.2.a.fo 4
44100.2.a.fp 4
44100.2.a.fq 4
44100.2.a.fr 4
44100.2.a.fs 4
44100.2.a.ft 4
44100.2.a.fu 4
44100.2.a.fv 4
44100.2.a.fw 4
44100.2.a.fx 4
44100.2.a.fy 4
44100.2.a.fz 4
44100.2.a.ga 4
44100.2.a.gb 4
44100.2.a.gc 4
44100.2.a.gd 4
44100.2.a.ge 8
44100.2.a.gf 8
44100.2.a.gg 8
44100.2.a.gh 8
44100.2.a.gi 8
44100.2.a.gj 8
44100.2.c \(\chi_{44100}(12151, \cdot)\) n/a 1888 1
44100.2.d \(\chi_{44100}(9701, \cdot)\) n/a 252 1
44100.2.f \(\chi_{44100}(22049, \cdot)\) n/a 240 1
44100.2.i \(\chi_{44100}(24499, \cdot)\) n/a 1792 1
44100.2.k \(\chi_{44100}(12349, \cdot)\) n/a 308 1
44100.2.l \(\chi_{44100}(9899, \cdot)\) n/a 1476 1
44100.2.n \(\chi_{44100}(41651, \cdot)\) n/a 1558 1
44100.2.q \(\chi_{44100}(3301, \cdot)\) n/a 1520 2
44100.2.r \(\chi_{44100}(14701, \cdot)\) n/a 1558 2
44100.2.s \(\chi_{44100}(18001, \cdot)\) n/a 634 2
44100.2.t \(\chi_{44100}(18601, \cdot)\) n/a 1520 2
44100.2.v \(\chi_{44100}(24893, \cdot)\) n/a 492 2
44100.2.w \(\chi_{44100}(27343, \cdot)\) n/a 3670 2
44100.2.z \(\chi_{44100}(37043, \cdot)\) n/a 2880 2
44100.2.ba \(\chi_{44100}(39493, \cdot)\) n/a 600 2
44100.2.bc \(\chi_{44100}(8821, \cdot)\) n/a 2052 4
44100.2.bd \(\chi_{44100}(20599, \cdot)\) n/a 8608 2
44100.2.bg \(\chi_{44100}(3449, \cdot)\) n/a 1440 2
44100.2.bi \(\chi_{44100}(21101, \cdot)\) n/a 1520 2
44100.2.bj \(\chi_{44100}(8251, \cdot)\) n/a 9072 2
44100.2.bm \(\chi_{44100}(27899, \cdot)\) n/a 2880 2
44100.2.bn \(\chi_{44100}(1549, \cdot)\) n/a 600 2
44100.2.bp \(\chi_{44100}(12251, \cdot)\) n/a 9288 2
44100.2.bt \(\chi_{44100}(16151, \cdot)\) n/a 9072 2
44100.2.bw \(\chi_{44100}(27049, \cdot)\) n/a 1476 2
44100.2.by \(\chi_{44100}(28499, \cdot)\) n/a 8608 2
44100.2.bz \(\chi_{44100}(15649, \cdot)\) n/a 1440 2
44100.2.cb \(\chi_{44100}(24599, \cdot)\) n/a 8816 2
44100.2.cf \(\chi_{44100}(15551, \cdot)\) n/a 3040 2
44100.2.ch \(\chi_{44100}(20501, \cdot)\) n/a 508 2
44100.2.ci \(\chi_{44100}(22951, \cdot)\) n/a 3776 2
44100.2.ck \(\chi_{44100}(7349, \cdot)\) n/a 1440 2
44100.2.cm \(\chi_{44100}(5899, \cdot)\) n/a 8608 2
44100.2.cp \(\chi_{44100}(18149, \cdot)\) n/a 1440 2
44100.2.cr \(\chi_{44100}(9799, \cdot)\) n/a 8608 2
44100.2.ct \(\chi_{44100}(26851, \cdot)\) n/a 9072 2
44100.2.cv \(\chi_{44100}(5801, \cdot)\) n/a 1520 2
44100.2.cw \(\chi_{44100}(23551, \cdot)\) n/a 9072 2
44100.2.cy \(\chi_{44100}(24401, \cdot)\) n/a 1520 2
44100.2.da \(\chi_{44100}(6499, \cdot)\) n/a 3584 2
44100.2.dd \(\chi_{44100}(4049, \cdot)\) n/a 480 2
44100.2.dg \(\chi_{44100}(851, \cdot)\) n/a 9072 2
44100.2.di \(\chi_{44100}(13199, \cdot)\) n/a 8608 2
44100.2.dj \(\chi_{44100}(949, \cdot)\) n/a 1440 2
44100.2.dl \(\chi_{44100}(6301, \cdot)\) n/a 2664 6
44100.2.do \(\chi_{44100}(6371, \cdot)\) n/a 9840 4
44100.2.dq \(\chi_{44100}(1079, \cdot)\) n/a 9840 4
44100.2.dr \(\chi_{44100}(3529, \cdot)\) n/a 2048 4
44100.2.dt \(\chi_{44100}(6859, \cdot)\) n/a 11968 4
44100.2.dw \(\chi_{44100}(4409, \cdot)\) n/a 1600 4
44100.2.dy \(\chi_{44100}(881, \cdot)\) n/a 1600 4
44100.2.dz \(\chi_{44100}(3331, \cdot)\) n/a 11968 4
44100.2.ec \(\chi_{44100}(1843, \cdot)\) n/a 17216 4
44100.2.ed \(\chi_{44100}(28193, \cdot)\) n/a 2880 4
44100.2.ef \(\chi_{44100}(7643, \cdot)\) n/a 17216 4
44100.2.eh \(\chi_{44100}(6193, \cdot)\) n/a 1200 4
44100.2.ej \(\chi_{44100}(6793, \cdot)\) n/a 2880 4
44100.2.em \(\chi_{44100}(33143, \cdot)\) n/a 17216 4
44100.2.eo \(\chi_{44100}(3743, \cdot)\) n/a 5760 4
44100.2.eq \(\chi_{44100}(10093, \cdot)\) n/a 2880 4
44100.2.er \(\chi_{44100}(10193, \cdot)\) n/a 2952 4
44100.2.et \(\chi_{44100}(1243, \cdot)\) n/a 7168 4
44100.2.ev \(\chi_{44100}(30643, \cdot)\) n/a 17216 4
44100.2.ey \(\chi_{44100}(1157, \cdot)\) n/a 2880 4
44100.2.fa \(\chi_{44100}(557, \cdot)\) n/a 960 4
44100.2.fc \(\chi_{44100}(12643, \cdot)\) n/a 17632 4
44100.2.fe \(\chi_{44100}(35593, \cdot)\) n/a 2880 4
44100.2.ff \(\chi_{44100}(4343, \cdot)\) n/a 17216 4
44100.2.fi \(\chi_{44100}(3851, \cdot)\) n/a 12768 6
44100.2.fk \(\chi_{44100}(3599, \cdot)\) n/a 12096 6
44100.2.fn \(\chi_{44100}(6049, \cdot)\) n/a 2520 6
44100.2.fp \(\chi_{44100}(5599, \cdot)\) n/a 15096 6
44100.2.fq \(\chi_{44100}(3149, \cdot)\) n/a 2016 6
44100.2.fs \(\chi_{44100}(3401, \cdot)\) n/a 2136 6
44100.2.fv \(\chi_{44100}(5851, \cdot)\) n/a 15924 6
44100.2.fw \(\chi_{44100}(961, \cdot)\) n/a 9600 8
44100.2.fx \(\chi_{44100}(361, \cdot)\) n/a 4000 8
44100.2.fy \(\chi_{44100}(2941, \cdot)\) n/a 9840 8
44100.2.fz \(\chi_{44100}(12121, \cdot)\) n/a 9600 8
44100.2.gb \(\chi_{44100}(4213, \cdot)\) n/a 4000 8
44100.2.gc \(\chi_{44100}(1763, \cdot)\) n/a 19200 8
44100.2.gf \(\chi_{44100}(883, \cdot)\) n/a 24520 8
44100.2.gg \(\chi_{44100}(197, \cdot)\) n/a 3280 8
44100.2.gi \(\chi_{44100}(1201, \cdot)\) n/a 12768 12
44100.2.gj \(\chi_{44100}(1801, \cdot)\) n/a 5316 12
44100.2.gk \(\chi_{44100}(2101, \cdot)\) n/a 12768 12
44100.2.gl \(\chi_{44100}(9601, \cdot)\) n/a 12768 12
44100.2.gm \(\chi_{44100}(1007, \cdot)\) n/a 24192 12
44100.2.gp \(\chi_{44100}(1693, \cdot)\) n/a 5040 12
44100.2.gq \(\chi_{44100}(1457, \cdot)\) n/a 4032 12
44100.2.gt \(\chi_{44100}(2143, \cdot)\) n/a 30192 12
44100.2.gv \(\chi_{44100}(4489, \cdot)\) n/a 9600 8
44100.2.gw \(\chi_{44100}(4379, \cdot)\) n/a 57472 8
44100.2.gy \(\chi_{44100}(9671, \cdot)\) n/a 57472 8
44100.2.hb \(\chi_{44100}(6389, \cdot)\) n/a 3200 8
44100.2.he \(\chi_{44100}(19, \cdot)\) n/a 23936 8
44100.2.hg \(\chi_{44100}(3821, \cdot)\) n/a 9600 8
44100.2.hi \(\chi_{44100}(2371, \cdot)\) n/a 57472 8
44100.2.hj \(\chi_{44100}(14621, \cdot)\) n/a 9600 8
44100.2.hl \(\chi_{44100}(391, \cdot)\) n/a 57472 8
44100.2.hn \(\chi_{44100}(979, \cdot)\) n/a 57472 8
44100.2.hp \(\chi_{44100}(509, \cdot)\) n/a 9600 8
44100.2.hs \(\chi_{44100}(619, \cdot)\) n/a 57472 8
44100.2.hu \(\chi_{44100}(1469, \cdot)\) n/a 9600 8
44100.2.hw \(\chi_{44100}(2971, \cdot)\) n/a 23936 8
44100.2.hx \(\chi_{44100}(521, \cdot)\) n/a 3200 8
44100.2.hz \(\chi_{44100}(4391, \cdot)\) n/a 19200 8
44100.2.id \(\chi_{44100}(4019, \cdot)\) n/a 58880 8
44100.2.if \(\chi_{44100}(6829, \cdot)\) n/a 9600 8
44100.2.ig \(\chi_{44100}(2039, \cdot)\) n/a 57472 8
44100.2.ii \(\chi_{44100}(589, \cdot)\) n/a 9840 8
44100.2.il \(\chi_{44100}(3791, \cdot)\) n/a 57472 8
44100.2.ip \(\chi_{44100}(491, \cdot)\) n/a 58880 8
44100.2.ir \(\chi_{44100}(3889, \cdot)\) n/a 4000 8
44100.2.is \(\chi_{44100}(1439, \cdot)\) n/a 19200 8
44100.2.iv \(\chi_{44100}(31, \cdot)\) n/a 57472 8
44100.2.iw \(\chi_{44100}(3461, \cdot)\) n/a 9600 8
44100.2.iy \(\chi_{44100}(6989, \cdot)\) n/a 9600 8
44100.2.jb \(\chi_{44100}(2959, \cdot)\) n/a 57472 8
44100.2.jc \(\chi_{44100}(1261, \cdot)\) n/a 16800 24
44100.2.jd \(\chi_{44100}(5749, \cdot)\) n/a 12096 12
44100.2.jg \(\chi_{44100}(599, \cdot)\) n/a 72480 12
44100.2.ji \(\chi_{44100}(7151, \cdot)\) n/a 76464 12
44100.2.jl \(\chi_{44100}(1349, \cdot)\) n/a 4032 12
44100.2.jm \(\chi_{44100}(199, \cdot)\) n/a 30192 12
44100.2.jo \(\chi_{44100}(1301, \cdot)\) n/a 12768 12
44100.2.jq \(\chi_{44100}(4651, \cdot)\) n/a 76464 12
44100.2.jt \(\chi_{44100}(101, \cdot)\) n/a 12768 12
44100.2.jv \(\chi_{44100}(1651, \cdot)\) n/a 76464 12
44100.2.jx \(\chi_{44100}(1399, \cdot)\) n/a 72480 12
44100.2.jz \(\chi_{44100}(5549, \cdot)\) n/a 12096 12
44100.2.ka \(\chi_{44100}(4399, \cdot)\) n/a 72480 12
44100.2.kc \(\chi_{44100}(1049, \cdot)\) n/a 12096 12
44100.2.ke \(\chi_{44100}(451, \cdot)\) n/a 31848 12
44100.2.kh \(\chi_{44100}(1601, \cdot)\) n/a 4248 12
44100.2.kj \(\chi_{44100}(2951, \cdot)\) n/a 25536 12
44100.2.kl \(\chi_{44100}(1499, \cdot)\) n/a 72480 12
44100.2.kn \(\chi_{44100}(3049, \cdot)\) n/a 12096 12
44100.2.kq \(\chi_{44100}(3299, \cdot)\) n/a 72480 12
44100.2.ks \(\chi_{44100}(1849, \cdot)\) n/a 12096 12
44100.2.kv \(\chi_{44100}(3551, \cdot)\) n/a 76464 12
44100.2.kx \(\chi_{44100}(1751, \cdot)\) n/a 76464 12
44100.2.kz \(\chi_{44100}(5149, \cdot)\) n/a 5040 12
44100.2.lc \(\chi_{44100}(2699, \cdot)\) n/a 24192 12
44100.2.ld \(\chi_{44100}(1951, \cdot)\) n/a 76464 12
44100.2.lg \(\chi_{44100}(2201, \cdot)\) n/a 12768 12
44100.2.li \(\chi_{44100}(1949, \cdot)\) n/a 12096 12
44100.2.lj \(\chi_{44100}(1699, \cdot)\) n/a 72480 12
44100.2.lm \(\chi_{44100}(803, \cdot)\) n/a 114944 16
44100.2.ln \(\chi_{44100}(313, \cdot)\) n/a 19200 16
44100.2.lp \(\chi_{44100}(3823, \cdot)\) n/a 117760 16
44100.2.lr \(\chi_{44100}(5273, \cdot)\) n/a 6400 16
44100.2.lt \(\chi_{44100}(4673, \cdot)\) n/a 19200 16
44100.2.lw \(\chi_{44100}(4183, \cdot)\) n/a 114944 16
44100.2.ly \(\chi_{44100}(667, \cdot)\) n/a 47872 16
44100.2.ma \(\chi_{44100}(1373, \cdot)\) n/a 19680 16
44100.2.mb \(\chi_{44100}(97, \cdot)\) n/a 19200 16
44100.2.md \(\chi_{44100}(1403, \cdot)\) n/a 38400 16
44100.2.mf \(\chi_{44100}(227, \cdot)\) n/a 114944 16
44100.2.mi \(\chi_{44100}(3253, \cdot)\) n/a 19200 16
44100.2.mk \(\chi_{44100}(3853, \cdot)\) n/a 8000 16
44100.2.mm \(\chi_{44100}(587, \cdot)\) n/a 114944 16
44100.2.mo \(\chi_{44100}(1733, \cdot)\) n/a 19200 16
44100.2.mp \(\chi_{44100}(67, \cdot)\) n/a 114944 16
44100.2.mr \(\chi_{44100}(811, \cdot)\) n/a 100704 24
44100.2.mu \(\chi_{44100}(2141, \cdot)\) n/a 13440 24
44100.2.mw \(\chi_{44100}(629, \cdot)\) n/a 13440 24
44100.2.mx \(\chi_{44100}(559, \cdot)\) n/a 100704 24
44100.2.mz \(\chi_{44100}(1009, \cdot)\) n/a 16800 24
44100.2.nc \(\chi_{44100}(2339, \cdot)\) n/a 80640 24
44100.2.ne \(\chi_{44100}(71, \cdot)\) n/a 80640 24
44100.2.ng \(\chi_{44100}(157, \cdot)\) n/a 24192 24
44100.2.nj \(\chi_{44100}(1307, \cdot)\) n/a 144960 24
44100.2.nl \(\chi_{44100}(1793, \cdot)\) n/a 24192 24
44100.2.nn \(\chi_{44100}(907, \cdot)\) n/a 144960 24
44100.2.np \(\chi_{44100}(3943, \cdot)\) n/a 60384 24
44100.2.nq \(\chi_{44100}(1493, \cdot)\) n/a 8064 24
44100.2.ns \(\chi_{44100}(893, \cdot)\) n/a 24192 24
44100.2.nu \(\chi_{44100}(43, \cdot)\) n/a 144960 24
44100.2.nx \(\chi_{44100}(1343, \cdot)\) n/a 144960 24
44100.2.nz \(\chi_{44100}(493, \cdot)\) n/a 24192 24
44100.2.ob \(\chi_{44100}(1657, \cdot)\) n/a 10080 24
44100.2.oc \(\chi_{44100}(143, \cdot)\) n/a 48384 24
44100.2.oe \(\chi_{44100}(1643, \cdot)\) n/a 144960 24
44100.2.og \(\chi_{44100}(1357, \cdot)\) n/a 24192 24
44100.2.oi \(\chi_{44100}(3343, \cdot)\) n/a 144960 24
44100.2.ol \(\chi_{44100}(2993, \cdot)\) n/a 24192 24
44100.2.om \(\chi_{44100}(121, \cdot)\) n/a 80640 48
44100.2.on \(\chi_{44100}(421, \cdot)\) n/a 80640 48
44100.2.oo \(\chi_{44100}(541, \cdot)\) n/a 33600 48
44100.2.op \(\chi_{44100}(2221, \cdot)\) n/a 80640 48
44100.2.oq \(\chi_{44100}(127, \cdot)\) n/a 201408 48
44100.2.ot \(\chi_{44100}(953, \cdot)\) n/a 26880 48
44100.2.ou \(\chi_{44100}(433, \cdot)\) n/a 33600 48
44100.2.ox \(\chi_{44100}(503, \cdot)\) n/a 161280 48
44100.2.oz \(\chi_{44100}(439, \cdot)\) n/a 483456 48
44100.2.pa \(\chi_{44100}(689, \cdot)\) n/a 80640 48
44100.2.pc \(\chi_{44100}(941, \cdot)\) n/a 80640 48
44100.2.pf \(\chi_{44100}(691, \cdot)\) n/a 483456 48
44100.2.pg \(\chi_{44100}(179, \cdot)\) n/a 161280 48
44100.2.pj \(\chi_{44100}(109, \cdot)\) n/a 33600 48
44100.2.pl \(\chi_{44100}(911, \cdot)\) n/a 483456 48
44100.2.pn \(\chi_{44100}(11, \cdot)\) n/a 483456 48
44100.2.pq \(\chi_{44100}(169, \cdot)\) n/a 80640 48
44100.2.ps \(\chi_{44100}(779, \cdot)\) n/a 483456 48
44100.2.pv \(\chi_{44100}(529, \cdot)\) n/a 80640 48
44100.2.px \(\chi_{44100}(239, \cdot)\) n/a 483456 48
44100.2.pz \(\chi_{44100}(431, \cdot)\) n/a 161280 48
44100.2.qb \(\chi_{44100}(341, \cdot)\) n/a 26880 48
44100.2.qe \(\chi_{44100}(271, \cdot)\) n/a 201408 48
44100.2.qg \(\chi_{44100}(209, \cdot)\) n/a 80640 48
44100.2.qi \(\chi_{44100}(859, \cdot)\) n/a 483456 48
44100.2.qj \(\chi_{44100}(1769, \cdot)\) n/a 80640 48
44100.2.ql \(\chi_{44100}(139, \cdot)\) n/a 483456 48
44100.2.qn \(\chi_{44100}(1231, \cdot)\) n/a 483456 48
44100.2.qp \(\chi_{44100}(761, \cdot)\) n/a 80640 48
44100.2.qs \(\chi_{44100}(871, \cdot)\) n/a 483456 48
44100.2.qu \(\chi_{44100}(41, \cdot)\) n/a 80640 48
44100.2.qw \(\chi_{44100}(1279, \cdot)\) n/a 201408 48
44100.2.qx \(\chi_{44100}(89, \cdot)\) n/a 26880 48
44100.2.ra \(\chi_{44100}(191, \cdot)\) n/a 483456 48
44100.2.rc \(\chi_{44100}(1859, \cdot)\) n/a 483456 48
44100.2.rf \(\chi_{44100}(709, \cdot)\) n/a 80640 48
44100.2.rg \(\chi_{44100}(317, \cdot)\) n/a 161280 96
44100.2.rj \(\chi_{44100}(583, \cdot)\) n/a 966912 96
44100.2.rl \(\chi_{44100}(13, \cdot)\) n/a 161280 96
44100.2.rn \(\chi_{44100}(383, \cdot)\) n/a 966912 96
44100.2.rp \(\chi_{44100}(467, \cdot)\) n/a 322560 96
44100.2.rq \(\chi_{44100}(73, \cdot)\) n/a 67200 96
44100.2.rs \(\chi_{44100}(733, \cdot)\) n/a 161280 96
44100.2.ru \(\chi_{44100}(83, \cdot)\) n/a 966912 96
44100.2.rx \(\chi_{44100}(463, \cdot)\) n/a 966912 96
44100.2.rz \(\chi_{44100}(137, \cdot)\) n/a 161280 96
44100.2.sb \(\chi_{44100}(53, \cdot)\) n/a 53760 96
44100.2.sc \(\chi_{44100}(163, \cdot)\) n/a 402816 96
44100.2.se \(\chi_{44100}(247, \cdot)\) n/a 966912 96
44100.2.sg \(\chi_{44100}(113, \cdot)\) n/a 161280 96
44100.2.si \(\chi_{44100}(47, \cdot)\) n/a 966912 96
44100.2.sl \(\chi_{44100}(817, \cdot)\) n/a 161280 96

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(44100))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(44100)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(1))\)\(^{\oplus 81}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2))\)\(^{\oplus 54}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(3))\)\(^{\oplus 54}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(4))\)\(^{\oplus 27}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(5))\)\(^{\oplus 54}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(6))\)\(^{\oplus 36}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(7))\)\(^{\oplus 54}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(9))\)\(^{\oplus 27}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(10))\)\(^{\oplus 36}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(12))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(14))\)\(^{\oplus 36}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(15))\)\(^{\oplus 36}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(18))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(20))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(21))\)\(^{\oplus 36}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(25))\)\(^{\oplus 27}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(28))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(30))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(35))\)\(^{\oplus 36}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(36))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(42))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(45))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(49))\)\(^{\oplus 27}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(50))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(60))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(63))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(70))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(75))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(84))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(90))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(98))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(100))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(105))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(126))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(140))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(147))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(150))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(175))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(180))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(196))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(210))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(225))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(245))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(252))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(294))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(300))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(315))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(350))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(420))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(441))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(450))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(490))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(525))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(588))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(630))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(700))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(735))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(882))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(900))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(980))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1050))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1225))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1260))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1470))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1575))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1764))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2100))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2205))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2450))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2940))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(3150))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(3675))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(4410))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(4900))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(6300))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(7350))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(8820))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(11025))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(14700))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(22050))\)\(^{\oplus 2}\)