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Properties

Label 38025.2
Level 38025
Weight 2
Dimension 36811632
Nonzero newspaces 200
Sturm bound 204422400

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Defining parameters

Level: \( N \) = \( 38025 = 3^{2} \cdot 5^{2} \cdot 13^{2} \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 200 \)
Sturm bound: \(204422400\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(38025))\).

Total New Old
Modular forms 51207744 36887093 14320651
Cusp forms 51003457 36811632 14191825
Eisenstein series 204287 75461 128826

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(38025))\)

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
38025.2.a \(\chi_{38025}(1, \cdot)\) 38025.2.a.a 1 1
38025.2.a.b 1
38025.2.a.c 1
38025.2.a.d 1
38025.2.a.e 1
38025.2.a.f 1
38025.2.a.g 1
38025.2.a.h 1
38025.2.a.i 1
38025.2.a.j 1
38025.2.a.k 1
38025.2.a.l 1
38025.2.a.m 1
38025.2.a.n 1
38025.2.a.o 1
38025.2.a.p 1
38025.2.a.q 1
38025.2.a.r 1
38025.2.a.s 1
38025.2.a.t 1
38025.2.a.u 1
38025.2.a.v 1
38025.2.a.w 1
38025.2.a.x 1
38025.2.a.y 1
38025.2.a.z 1
38025.2.a.ba 1
38025.2.a.bb 1
38025.2.a.bc 1
38025.2.a.bd 1
38025.2.a.be 1
38025.2.a.bf 1
38025.2.a.bg 1
38025.2.a.bh 1
38025.2.a.bi 1
38025.2.a.bj 1
38025.2.a.bk 1
38025.2.a.bl 1
38025.2.a.bm 1
38025.2.a.bn 1
38025.2.a.bo 1
38025.2.a.bp 1
38025.2.a.bq 1
38025.2.a.br 1
38025.2.a.bs 1
38025.2.a.bt 1
38025.2.a.bu 1
38025.2.a.bv 1
38025.2.a.bw 1
38025.2.a.bx 1
38025.2.a.by 1
38025.2.a.bz 1
38025.2.a.ca 1
38025.2.a.cb 1
38025.2.a.cc 1
38025.2.a.cd 1
38025.2.a.ce 1
38025.2.a.cf 1
38025.2.a.cg 1
38025.2.a.ch 1
38025.2.a.ci 1
38025.2.a.cj 1
38025.2.a.ck 1
38025.2.a.cl 1
38025.2.a.cm 1
38025.2.a.cn 1
38025.2.a.co 1
38025.2.a.cp 1
38025.2.a.cq 1
38025.2.a.cr 1
38025.2.a.cs 1
38025.2.a.ct 1
38025.2.a.cu 1
38025.2.a.cv 1
38025.2.a.cw 1
38025.2.a.cx 1
38025.2.a.cy 1
38025.2.a.cz 1
38025.2.a.da 1
38025.2.a.db 1
38025.2.a.dc 1
38025.2.a.dd 2
38025.2.a.de 2
38025.2.a.df 2
38025.2.a.dg 2
38025.2.a.dh 2
38025.2.a.di 2
38025.2.a.dj 2
38025.2.a.dk 2
38025.2.a.dl 2
38025.2.a.dm 2
38025.2.a.dn 2
38025.2.a.do 2
38025.2.a.dp 2
38025.2.a.dq 2
38025.2.a.dr 2
38025.2.a.ds 2
38025.2.a.dt 2
38025.2.a.du 2
38025.2.a.dv 2
38025.2.a.dw 2
38025.2.a.dx 2
38025.2.a.dy 2
38025.2.a.dz 2
38025.2.a.ea 2
38025.2.a.eb 2
38025.2.a.ec 2
38025.2.a.ed 2
38025.2.a.ee 2
38025.2.a.ef 2
38025.2.a.eg 2
38025.2.a.eh 2
38025.2.a.ei 2
38025.2.a.ej 2
38025.2.a.ek 2
38025.2.a.el 2
38025.2.a.em 2
38025.2.a.en 2
38025.2.a.eo 2
38025.2.a.ep 2
38025.2.a.eq 2
38025.2.a.er 2
38025.2.a.es 2
38025.2.a.et 2
38025.2.a.eu 3
38025.2.a.ev 3
38025.2.a.ew 3
38025.2.a.ex 3
38025.2.a.ey 3
38025.2.a.ez 3
38025.2.a.fa 3
38025.2.a.fb 3
38025.2.a.fc 3
38025.2.a.fd 3
38025.2.a.fe 3
38025.2.a.ff 3
38025.2.a.fg 3
38025.2.a.fh 3
38025.2.a.fi 3
38025.2.a.fj 3
38025.2.a.fk 3
38025.2.a.fl 3
38025.2.a.fm 3
38025.2.a.fn 3
38025.2.a.fo 3
38025.2.a.fp 3
38025.2.a.fq 3
38025.2.a.fr 3
38025.2.a.fs 3
38025.2.a.ft 3
38025.2.a.fu 3
38025.2.a.fv 3
38025.2.a.fw 3
38025.2.a.fx 3
38025.2.a.fy 3
38025.2.a.fz 4
38025.2.a.ga 4
38025.2.a.gb 4
38025.2.a.gc 4
38025.2.a.gd 4
38025.2.a.ge 4
38025.2.a.gf 4
38025.2.a.gg 4
38025.2.a.gh 4
38025.2.a.gi 4
38025.2.a.gj 4
38025.2.a.gk 4
38025.2.a.gl 4
38025.2.a.gm 4
38025.2.a.gn 4
38025.2.a.go 4
38025.2.a.gp 4
38025.2.a.gq 5
38025.2.a.gr 5
38025.2.a.gs 5
38025.2.a.gt 5
38025.2.a.gu 5
38025.2.a.gv 5
38025.2.a.gw 5
38025.2.a.gx 5
38025.2.a.gy 5
38025.2.a.gz 5
38025.2.a.ha 6
38025.2.a.hb 6
38025.2.a.hc 6
38025.2.a.hd 6
38025.2.a.he 6
38025.2.a.hf 6
38025.2.a.hg 6
38025.2.a.hh 6
38025.2.a.hi 6
38025.2.a.hj 6
38025.2.a.hk 6
38025.2.a.hl 6
38025.2.a.hm 6
38025.2.a.hn 6
38025.2.a.ho 6
38025.2.a.hp 6
38025.2.a.hq 6
38025.2.a.hr 6
38025.2.a.hs 6
38025.2.a.ht 6
38025.2.a.hu 8
38025.2.a.hv 8
38025.2.a.hw 8
38025.2.a.hx 9
38025.2.a.hy 9
38025.2.a.hz 9
38025.2.a.ia 9
38025.2.a.ib 10
38025.2.a.ic 10
38025.2.a.id 10
38025.2.a.ie 10
38025.2.a.if 12
38025.2.a.ig 12
38025.2.a.ih 12
38025.2.a.ii 12
38025.2.a.ij 12
38025.2.a.ik 12
38025.2.a.il 12
38025.2.a.im 12
38025.2.a.in 12
38025.2.a.io 12
38025.2.a.ip 12
38025.2.a.iq 12
38025.2.a.ir 12
38025.2.a.is 12
38025.2.a.it 12
38025.2.a.iu 12
38025.2.a.iv 12
38025.2.a.iw 12
38025.2.a.ix 12
38025.2.a.iy 12
38025.2.a.iz 16
38025.2.a.ja 16
38025.2.a.jb 16
38025.2.a.jc 16
38025.2.a.jd 16
38025.2.a.je 16
38025.2.a.jf 18
38025.2.a.jg 18
38025.2.a.jh 18
38025.2.a.ji 18
38025.2.a.jj 18
38025.2.a.jk 18
38025.2.a.jl 24
38025.2.a.jm 24
38025.2.a.jn 24
38025.2.a.jo 24
38025.2.a.jp 24
38025.2.a.jq 24
38025.2.a.jr 24
38025.2.b \(\chi_{38025}(1351, \cdot)\) n/a 1204 1
38025.2.c \(\chi_{38025}(19774, \cdot)\) n/a 1152 1
38025.2.h \(\chi_{38025}(21124, \cdot)\) n/a 1144 1
38025.2.i \(\chi_{38025}(12676, \cdot)\) n/a 5824 2
38025.2.j \(\chi_{38025}(16201, \cdot)\) n/a 2408 2
38025.2.k \(\chi_{38025}(11176, \cdot)\) n/a 5792 2
38025.2.l \(\chi_{38025}(3526, \cdot)\) n/a 5792 2
38025.2.n \(\chi_{38025}(26632, \cdot)\) n/a 2290 2
38025.2.p \(\chi_{38025}(19943, \cdot)\) n/a 1860 2
38025.2.q \(\chi_{38025}(8549, \cdot)\) n/a 1848 2
38025.2.r \(\chi_{38025}(8351, \cdot)\) n/a 1948 2
38025.2.v \(\chi_{38025}(21293, \cdot)\) n/a 1848 2
38025.2.w \(\chi_{38025}(8182, \cdot)\) n/a 2290 2
38025.2.y \(\chi_{38025}(7606, \cdot)\) n/a 7708 4
38025.2.bb \(\chi_{38025}(10501, \cdot)\) n/a 5792 2
38025.2.bc \(\chi_{38025}(18274, \cdot)\) n/a 5504 2
38025.2.bf \(\chi_{38025}(8449, \cdot)\) n/a 5504 2
38025.2.bg \(\chi_{38025}(4924, \cdot)\) n/a 2288 2
38025.2.bl \(\chi_{38025}(17599, \cdot)\) n/a 5504 2
38025.2.bm \(\chi_{38025}(10624, \cdot)\) n/a 5504 2
38025.2.bn \(\chi_{38025}(2851, \cdot)\) n/a 5792 2
38025.2.bs \(\chi_{38025}(7099, \cdot)\) n/a 5536 2
38025.2.bt \(\chi_{38025}(5599, \cdot)\) n/a 2292 2
38025.2.bu \(\chi_{38025}(14026, \cdot)\) n/a 5792 2
38025.2.bv \(\chi_{38025}(15526, \cdot)\) n/a 2410 2
38025.2.by \(\chi_{38025}(9949, \cdot)\) n/a 5504 2
38025.2.cd \(\chi_{38025}(5914, \cdot)\) n/a 7664 4
38025.2.ce \(\chi_{38025}(4564, \cdot)\) n/a 7704 4
38025.2.cf \(\chi_{38025}(8956, \cdot)\) n/a 7656 4
38025.2.ci \(\chi_{38025}(3568, \cdot)\) n/a 11008 4
38025.2.ck \(\chi_{38025}(3868, \cdot)\) n/a 11008 4
38025.2.cn \(\chi_{38025}(1432, \cdot)\) n/a 4580 4
38025.2.co \(\chi_{38025}(268, \cdot)\) n/a 11008 4
38025.2.cq \(\chi_{38025}(6782, \cdot)\) n/a 11008 4
38025.2.cu \(\chi_{38025}(8201, \cdot)\) n/a 11584 4
38025.2.cv \(\chi_{38025}(11849, \cdot)\) n/a 11008 4
38025.2.cw \(\chi_{38025}(17768, \cdot)\) n/a 11008 4
38025.2.cz \(\chi_{38025}(6107, \cdot)\) n/a 11008 4
38025.2.da \(\chi_{38025}(8618, \cdot)\) n/a 11008 4
38025.2.dd \(\chi_{38025}(5093, \cdot)\) n/a 3696 4
38025.2.de \(\chi_{38025}(1601, \cdot)\) n/a 3904 4
38025.2.df \(\chi_{38025}(12149, \cdot)\) n/a 3696 4
38025.2.dk \(\chi_{38025}(2774, \cdot)\) n/a 11008 4
38025.2.dl \(\chi_{38025}(5051, \cdot)\) n/a 11584 4
38025.2.dm \(\chi_{38025}(2624, \cdot)\) n/a 11008 4
38025.2.dn \(\chi_{38025}(1451, \cdot)\) n/a 11584 4
38025.2.dr \(\chi_{38025}(7268, \cdot)\) n/a 11072 4
38025.2.ds \(\chi_{38025}(18443, \cdot)\) n/a 11008 4
38025.2.dv \(\chi_{38025}(5768, \cdot)\) n/a 3696 4
38025.2.dx \(\chi_{38025}(25768, \cdot)\) n/a 4580 4
38025.2.dy \(\chi_{38025}(1282, \cdot)\) n/a 11008 4
38025.2.eb \(\chi_{38025}(418, \cdot)\) n/a 11008 4
38025.2.ed \(\chi_{38025}(7018, \cdot)\) n/a 11008 4
38025.2.ee \(\chi_{38025}(2926, \cdot)\) n/a 17268 12
38025.2.ef \(\chi_{38025}(6106, \cdot)\) n/a 36800 8
38025.2.eg \(\chi_{38025}(991, \cdot)\) n/a 15328 8
38025.2.eh \(\chi_{38025}(2536, \cdot)\) n/a 37024 8
38025.2.ei \(\chi_{38025}(3571, \cdot)\) n/a 36800 8
38025.2.ej \(\chi_{38025}(577, \cdot)\) n/a 15320 8
38025.2.el \(\chi_{38025}(4562, \cdot)\) n/a 12320 8
38025.2.ep \(\chi_{38025}(746, \cdot)\) n/a 12320 8
38025.2.eq \(\chi_{38025}(944, \cdot)\) n/a 12320 8
38025.2.er \(\chi_{38025}(3212, \cdot)\) n/a 12400 8
38025.2.eu \(\chi_{38025}(2098, \cdot)\) n/a 15320 8
38025.2.ev \(\chi_{38025}(649, \cdot)\) n/a 16368 12
38025.2.fa \(\chi_{38025}(2224, \cdot)\) n/a 16344 12
38025.2.fb \(\chi_{38025}(4276, \cdot)\) n/a 17256 12
38025.2.fc \(\chi_{38025}(2344, \cdot)\) n/a 36800 8
38025.2.ff \(\chi_{38025}(5431, \cdot)\) n/a 36800 8
38025.2.fg \(\chi_{38025}(529, \cdot)\) n/a 36800 8
38025.2.fl \(\chi_{38025}(316, \cdot)\) n/a 15312 8
38025.2.fm \(\chi_{38025}(3886, \cdot)\) n/a 36800 8
38025.2.fn \(\chi_{38025}(5554, \cdot)\) n/a 15312 8
38025.2.fo \(\chi_{38025}(2029, \cdot)\) n/a 37024 8
38025.2.ft \(\chi_{38025}(4879, \cdot)\) n/a 15328 8
38025.2.fu \(\chi_{38025}(844, \cdot)\) n/a 36800 8
38025.2.fz \(\chi_{38025}(2389, \cdot)\) n/a 36800 8
38025.2.gc \(\chi_{38025}(484, \cdot)\) n/a 36800 8
38025.2.gd \(\chi_{38025}(2896, \cdot)\) n/a 36800 8
38025.2.ge \(\chi_{38025}(601, \cdot)\) n/a 82848 24
38025.2.gf \(\chi_{38025}(2401, \cdot)\) n/a 82848 24
38025.2.gg \(\chi_{38025}(451, \cdot)\) n/a 34512 24
38025.2.gh \(\chi_{38025}(976, \cdot)\) n/a 82848 24
38025.2.gj \(\chi_{38025}(1243, \cdot)\) n/a 32712 24
38025.2.gk \(\chi_{38025}(818, \cdot)\) n/a 26208 24
38025.2.go \(\chi_{38025}(476, \cdot)\) n/a 27696 24
38025.2.gp \(\chi_{38025}(1799, \cdot)\) n/a 26208 24
38025.2.gq \(\chi_{38025}(1457, \cdot)\) n/a 26208 24
38025.2.gs \(\chi_{38025}(307, \cdot)\) n/a 32712 24
38025.2.gv \(\chi_{38025}(2047, \cdot)\) n/a 73600 16
38025.2.gx \(\chi_{38025}(4633, \cdot)\) n/a 73600 16
38025.2.gy \(\chi_{38025}(2953, \cdot)\) n/a 30640 16
38025.2.hb \(\chi_{38025}(427, \cdot)\) n/a 73600 16
38025.2.hc \(\chi_{38025}(4202, \cdot)\) n/a 24640 16
38025.2.hf \(\chi_{38025}(653, \cdot)\) n/a 73600 16
38025.2.hg \(\chi_{38025}(677, \cdot)\) n/a 74048 16
38025.2.hk \(\chi_{38025}(3281, \cdot)\) n/a 73600 16
38025.2.hl \(\chi_{38025}(1094, \cdot)\) n/a 73600 16
38025.2.hm \(\chi_{38025}(2216, \cdot)\) n/a 73600 16
38025.2.hn \(\chi_{38025}(239, \cdot)\) n/a 73600 16
38025.2.hs \(\chi_{38025}(89, \cdot)\) n/a 24640 16
38025.2.ht \(\chi_{38025}(3131, \cdot)\) n/a 24640 16
38025.2.hu \(\chi_{38025}(3527, \cdot)\) n/a 24640 16
38025.2.hx \(\chi_{38025}(1013, \cdot)\) n/a 73600 16
38025.2.hy \(\chi_{38025}(23, \cdot)\) n/a 73600 16
38025.2.ib \(\chi_{38025}(1037, \cdot)\) n/a 73600 16
38025.2.ic \(\chi_{38025}(3629, \cdot)\) n/a 73600 16
38025.2.id \(\chi_{38025}(596, \cdot)\) n/a 73600 16
38025.2.ih \(\chi_{38025}(698, \cdot)\) n/a 73600 16
38025.2.ii \(\chi_{38025}(1948, \cdot)\) n/a 73600 16
38025.2.il \(\chi_{38025}(2803, \cdot)\) n/a 73600 16
38025.2.im \(\chi_{38025}(1333, \cdot)\) n/a 30640 16
38025.2.io \(\chi_{38025}(5488, \cdot)\) n/a 73600 16
38025.2.iq \(\chi_{38025}(586, \cdot)\) n/a 109056 48
38025.2.it \(\chi_{38025}(1024, \cdot)\) n/a 78528 24
38025.2.iw \(\chi_{38025}(901, \cdot)\) n/a 34488 24
38025.2.ix \(\chi_{38025}(376, \cdot)\) n/a 82848 24
38025.2.iy \(\chi_{38025}(874, \cdot)\) n/a 32688 24
38025.2.iz \(\chi_{38025}(274, \cdot)\) n/a 78528 24
38025.2.je \(\chi_{38025}(751, \cdot)\) n/a 82848 24
38025.2.jf \(\chi_{38025}(1699, \cdot)\) n/a 78528 24
38025.2.jg \(\chi_{38025}(49, \cdot)\) n/a 78528 24
38025.2.jl \(\chi_{38025}(199, \cdot)\) n/a 32736 24
38025.2.jm \(\chi_{38025}(1624, \cdot)\) n/a 78528 24
38025.2.jp \(\chi_{38025}(724, \cdot)\) n/a 78528 24
38025.2.jq \(\chi_{38025}(1726, \cdot)\) n/a 82848 24
38025.2.jv \(\chi_{38025}(181, \cdot)\) n/a 109152 48
38025.2.jw \(\chi_{38025}(469, \cdot)\) n/a 109152 48
38025.2.jx \(\chi_{38025}(64, \cdot)\) n/a 109056 48
38025.2.ka \(\chi_{38025}(457, \cdot)\) n/a 157056 48
38025.2.kc \(\chi_{38025}(7, \cdot)\) n/a 157056 48
38025.2.kf \(\chi_{38025}(1318, \cdot)\) n/a 157056 48
38025.2.kg \(\chi_{38025}(982, \cdot)\) n/a 65424 48
38025.2.ki \(\chi_{38025}(107, \cdot)\) n/a 52416 48
38025.2.kl \(\chi_{38025}(443, \cdot)\) n/a 157056 48
38025.2.km \(\chi_{38025}(68, \cdot)\) n/a 157056 48
38025.2.kq \(\chi_{38025}(551, \cdot)\) n/a 165696 48
38025.2.kr \(\chi_{38025}(1424, \cdot)\) n/a 157056 48
38025.2.ks \(\chi_{38025}(401, \cdot)\) n/a 165696 48
38025.2.kt \(\chi_{38025}(749, \cdot)\) n/a 157056 48
38025.2.ky \(\chi_{38025}(449, \cdot)\) n/a 52416 48
38025.2.kz \(\chi_{38025}(1151, \cdot)\) n/a 55296 48
38025.2.la \(\chi_{38025}(368, \cdot)\) n/a 52416 48
38025.2.ld \(\chi_{38025}(257, \cdot)\) n/a 157056 48
38025.2.le \(\chi_{38025}(857, \cdot)\) n/a 157056 48
38025.2.lh \(\chi_{38025}(218, \cdot)\) n/a 157056 48
38025.2.li \(\chi_{38025}(149, \cdot)\) n/a 157056 48
38025.2.lj \(\chi_{38025}(176, \cdot)\) n/a 165696 48
38025.2.ln \(\chi_{38025}(932, \cdot)\) n/a 157056 48
38025.2.lp \(\chi_{38025}(382, \cdot)\) n/a 157056 48
38025.2.lq \(\chi_{38025}(1657, \cdot)\) n/a 65424 48
38025.2.lt \(\chi_{38025}(193, \cdot)\) n/a 157056 48
38025.2.lv \(\chi_{38025}(232, \cdot)\) n/a 157056 48
38025.2.lw \(\chi_{38025}(61, \cdot)\) n/a 523776 96
38025.2.lx \(\chi_{38025}(196, \cdot)\) n/a 523776 96
38025.2.ly \(\chi_{38025}(406, \cdot)\) n/a 218112 96
38025.2.lz \(\chi_{38025}(16, \cdot)\) n/a 523776 96
38025.2.ma \(\chi_{38025}(892, \cdot)\) n/a 218208 96
38025.2.md \(\chi_{38025}(53, \cdot)\) n/a 174720 96
38025.2.me \(\chi_{38025}(44, \cdot)\) n/a 174720 96
38025.2.mf \(\chi_{38025}(161, \cdot)\) n/a 174720 96
38025.2.mj \(\chi_{38025}(233, \cdot)\) n/a 174720 96
38025.2.ml \(\chi_{38025}(73, \cdot)\) n/a 218208 96
38025.2.mm \(\chi_{38025}(121, \cdot)\) n/a 523776 96
38025.2.mn \(\chi_{38025}(139, \cdot)\) n/a 523776 96
38025.2.mq \(\chi_{38025}(394, \cdot)\) n/a 523776 96
38025.2.mv \(\chi_{38025}(259, \cdot)\) n/a 523776 96
38025.2.mw \(\chi_{38025}(244, \cdot)\) n/a 218112 96
38025.2.nb \(\chi_{38025}(79, \cdot)\) n/a 523776 96
38025.2.nc \(\chi_{38025}(289, \cdot)\) n/a 218304 96
38025.2.nd \(\chi_{38025}(571, \cdot)\) n/a 523776 96
38025.2.ne \(\chi_{38025}(946, \cdot)\) n/a 218304 96
38025.2.nj \(\chi_{38025}(94, \cdot)\) n/a 523776 96
38025.2.nk \(\chi_{38025}(166, \cdot)\) n/a 523776 96
38025.2.nn \(\chi_{38025}(4, \cdot)\) n/a 523776 96
38025.2.np \(\chi_{38025}(58, \cdot)\) n/a 1047552 192
38025.2.nr \(\chi_{38025}(163, \cdot)\) n/a 436416 192
38025.2.ns \(\chi_{38025}(187, \cdot)\) n/a 1047552 192
38025.2.nv \(\chi_{38025}(67, \cdot)\) n/a 1047552 192
38025.2.nw \(\chi_{38025}(113, \cdot)\) n/a 1047552 192
38025.2.oa \(\chi_{38025}(11, \cdot)\) n/a 1047552 192
38025.2.ob \(\chi_{38025}(59, \cdot)\) n/a 1047552 192
38025.2.oc \(\chi_{38025}(212, \cdot)\) n/a 1047552 192
38025.2.of \(\chi_{38025}(38, \cdot)\) n/a 1047552 192
38025.2.og \(\chi_{38025}(173, \cdot)\) n/a 1047552 192
38025.2.oj \(\chi_{38025}(17, \cdot)\) n/a 349440 192
38025.2.ok \(\chi_{38025}(71, \cdot)\) n/a 349440 192
38025.2.ol \(\chi_{38025}(314, \cdot)\) n/a 349440 192
38025.2.oq \(\chi_{38025}(164, \cdot)\) n/a 1047552 192
38025.2.or \(\chi_{38025}(41, \cdot)\) n/a 1047552 192
38025.2.os \(\chi_{38025}(254, \cdot)\) n/a 1047552 192
38025.2.ot \(\chi_{38025}(86, \cdot)\) n/a 1047552 192
38025.2.ox \(\chi_{38025}(302, \cdot)\) n/a 1047552 192
38025.2.oy \(\chi_{38025}(92, \cdot)\) n/a 1047552 192
38025.2.pb \(\chi_{38025}(152, \cdot)\) n/a 349440 192
38025.2.pc \(\chi_{38025}(448, \cdot)\) n/a 1047552 192
38025.2.pf \(\chi_{38025}(28, \cdot)\) n/a 436416 192
38025.2.pg \(\chi_{38025}(112, \cdot)\) n/a 1047552 192
38025.2.pi \(\chi_{38025}(292, \cdot)\) n/a 1047552 192

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(38025))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(38025)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(1))\)\(^{\oplus 27}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(3))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(5))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(9))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(13))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(15))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(25))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(39))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(45))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(65))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(75))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(117))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(169))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(195))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(225))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(325))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(507))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(585))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(845))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(975))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1521))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2535))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2925))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(4225))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(7605))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(12675))\)\(^{\oplus 2}\)