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Properties

Label 6552.2
Level 6552
Weight 2
Dimension 487678
Nonzero newspaces 252
Sturm bound 4644864

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Defining parameters

Level: \( N \) = \( 6552 = 2^{3} \cdot 3^{2} \cdot 7 \cdot 13 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 252 \)
Sturm bound: \(4644864\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(6552))\).

Total New Old
Modular forms 1175040 491638 683402
Cusp forms 1147393 487678 659715
Eisenstein series 27647 3960 23687

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(6552))\)

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
6552.2.a \(\chi_{6552}(1, \cdot)\) 6552.2.a.a 1 1
6552.2.a.b 1
6552.2.a.c 1
6552.2.a.d 1
6552.2.a.e 1
6552.2.a.f 1
6552.2.a.g 1
6552.2.a.h 1
6552.2.a.i 1
6552.2.a.j 1
6552.2.a.k 1
6552.2.a.l 1
6552.2.a.m 1
6552.2.a.n 1
6552.2.a.o 1
6552.2.a.p 1
6552.2.a.q 1
6552.2.a.r 1
6552.2.a.s 1
6552.2.a.t 1
6552.2.a.u 1
6552.2.a.v 1
6552.2.a.w 1
6552.2.a.x 1
6552.2.a.y 1
6552.2.a.z 1
6552.2.a.ba 1
6552.2.a.bb 2
6552.2.a.bc 2
6552.2.a.bd 2
6552.2.a.be 2
6552.2.a.bf 2
6552.2.a.bg 2
6552.2.a.bh 2
6552.2.a.bi 2
6552.2.a.bj 2
6552.2.a.bk 2
6552.2.a.bl 2
6552.2.a.bm 2
6552.2.a.bn 3
6552.2.a.bo 3
6552.2.a.bp 3
6552.2.a.bq 4
6552.2.a.br 4
6552.2.a.bs 4
6552.2.a.bt 4
6552.2.a.bu 4
6552.2.a.bv 5
6552.2.a.bw 5
6552.2.b \(\chi_{6552}(1819, \cdot)\) n/a 556 1
6552.2.e \(\chi_{6552}(2575, \cdot)\) None 0 1
6552.2.g \(\chi_{6552}(3277, \cdot)\) n/a 360 1
6552.2.h \(\chi_{6552}(2521, \cdot)\) n/a 104 1
6552.2.j \(\chi_{6552}(3095, \cdot)\) None 0 1
6552.2.m \(\chi_{6552}(2339, \cdot)\) n/a 336 1
6552.2.o \(\chi_{6552}(4913, \cdot)\) n/a 112 1
6552.2.p \(\chi_{6552}(5669, \cdot)\) n/a 384 1
6552.2.s \(\chi_{6552}(5615, \cdot)\) None 0 1
6552.2.t \(\chi_{6552}(6371, \cdot)\) n/a 288 1
6552.2.v \(\chi_{6552}(2393, \cdot)\) 6552.2.v.a 48 1
6552.2.v.b 48
6552.2.y \(\chi_{6552}(1637, \cdot)\) n/a 448 1
6552.2.ba \(\chi_{6552}(5851, \cdot)\) n/a 480 1
6552.2.bb \(\chi_{6552}(5095, \cdot)\) None 0 1
6552.2.bd \(\chi_{6552}(5797, \cdot)\) n/a 420 1
6552.2.bg \(\chi_{6552}(625, \cdot)\) n/a 576 2
6552.2.bh \(\chi_{6552}(1873, \cdot)\) n/a 240 2
6552.2.bi \(\chi_{6552}(1849, \cdot)\) n/a 504 2
6552.2.bj \(\chi_{6552}(1537, \cdot)\) n/a 672 2
6552.2.bk \(\chi_{6552}(289, \cdot)\) n/a 280 2
6552.2.bl \(\chi_{6552}(2185, \cdot)\) n/a 432 2
6552.2.bm \(\chi_{6552}(841, \cdot)\) n/a 504 2
6552.2.bn \(\chi_{6552}(5833, \cdot)\) n/a 280 2
6552.2.bo \(\chi_{6552}(529, \cdot)\) n/a 672 2
6552.2.bp \(\chi_{6552}(3025, \cdot)\) n/a 212 2
6552.2.bq \(\chi_{6552}(1465, \cdot)\) n/a 672 2
6552.2.br \(\chi_{6552}(2473, \cdot)\) n/a 672 2
6552.2.bs \(\chi_{6552}(4993, \cdot)\) n/a 576 2
6552.2.bt \(\chi_{6552}(5039, \cdot)\) None 0 2
6552.2.bv \(\chi_{6552}(1763, \cdot)\) n/a 896 2
6552.2.bx \(\chi_{6552}(5923, \cdot)\) n/a 840 2
6552.2.bz \(\chi_{6552}(2647, \cdot)\) None 0 2
6552.2.cc \(\chi_{6552}(5221, \cdot)\) n/a 1112 2
6552.2.ce \(\chi_{6552}(1945, \cdot)\) n/a 280 2
6552.2.cg \(\chi_{6552}(2465, \cdot)\) n/a 168 2
6552.2.ci \(\chi_{6552}(5741, \cdot)\) n/a 672 2
6552.2.ck \(\chi_{6552}(961, \cdot)\) n/a 672 2
6552.2.cl \(\chi_{6552}(1717, \cdot)\) n/a 2304 2
6552.2.cn \(\chi_{6552}(1951, \cdot)\) None 0 2
6552.2.cq \(\chi_{6552}(1195, \cdot)\) n/a 2672 2
6552.2.cs \(\chi_{6552}(1199, \cdot)\) None 0 2
6552.2.ct \(\chi_{6552}(3371, \cdot)\) n/a 2672 2
6552.2.cv \(\chi_{6552}(2141, \cdot)\) n/a 896 2
6552.2.cy \(\chi_{6552}(881, \cdot)\) n/a 224 2
6552.2.da \(\chi_{6552}(3461, \cdot)\) n/a 2672 2
6552.2.db \(\chi_{6552}(1193, \cdot)\) n/a 672 2
6552.2.dd \(\chi_{6552}(2363, \cdot)\) n/a 2672 2
6552.2.dg \(\chi_{6552}(191, \cdot)\) None 0 2
6552.2.di \(\chi_{6552}(4859, \cdot)\) n/a 672 2
6552.2.dj \(\chi_{6552}(575, \cdot)\) None 0 2
6552.2.dl \(\chi_{6552}(2201, \cdot)\) n/a 672 2
6552.2.do \(\chi_{6552}(2453, \cdot)\) n/a 2672 2
6552.2.dq \(\chi_{6552}(1291, \cdot)\) n/a 2672 2
6552.2.dr \(\chi_{6552}(1543, \cdot)\) None 0 2
6552.2.du \(\chi_{6552}(4489, \cdot)\) n/a 672 2
6552.2.dv \(\chi_{6552}(445, \cdot)\) n/a 2672 2
6552.2.dx \(\chi_{6552}(5041, \cdot)\) n/a 208 2
6552.2.ea \(\chi_{6552}(757, \cdot)\) n/a 840 2
6552.2.ec \(\chi_{6552}(55, \cdot)\) None 0 2
6552.2.ed \(\chi_{6552}(4339, \cdot)\) n/a 1112 2
6552.2.ef \(\chi_{6552}(2551, \cdot)\) None 0 2
6552.2.ei \(\chi_{6552}(283, \cdot)\) n/a 2672 2
6552.2.ej \(\chi_{6552}(5749, \cdot)\) n/a 2672 2
6552.2.em \(\chi_{6552}(3481, \cdot)\) n/a 672 2
6552.2.eo \(\chi_{6552}(677, \cdot)\) n/a 2304 2
6552.2.ep \(\chi_{6552}(5225, \cdot)\) n/a 672 2
6552.2.er \(\chi_{6552}(2963, \cdot)\) n/a 2672 2
6552.2.eu \(\chi_{6552}(599, \cdot)\) None 0 2
6552.2.ev \(\chi_{6552}(2291, \cdot)\) n/a 2672 2
6552.2.ey \(\chi_{6552}(23, \cdot)\) None 0 2
6552.2.ez \(\chi_{6552}(2285, \cdot)\) n/a 896 2
6552.2.fc \(\chi_{6552}(2609, \cdot)\) n/a 224 2
6552.2.fe \(\chi_{6552}(1049, \cdot)\) n/a 672 2
6552.2.ff \(\chi_{6552}(797, \cdot)\) n/a 2672 2
6552.2.fh \(\chi_{6552}(4775, \cdot)\) None 0 2
6552.2.fk \(\chi_{6552}(1667, \cdot)\) n/a 2016 2
6552.2.fm \(\chi_{6552}(5651, \cdot)\) n/a 896 2
6552.2.fn \(\chi_{6552}(3455, \cdot)\) None 0 2
6552.2.fq \(\chi_{6552}(1109, \cdot)\) n/a 2672 2
6552.2.fr \(\chi_{6552}(1361, \cdot)\) n/a 672 2
6552.2.fu \(\chi_{6552}(727, \cdot)\) None 0 2
6552.2.fv \(\chi_{6552}(1483, \cdot)\) n/a 2304 2
6552.2.fy \(\chi_{6552}(199, \cdot)\) None 0 2
6552.2.fz \(\chi_{6552}(451, \cdot)\) n/a 1112 2
6552.2.gc \(\chi_{6552}(1117, \cdot)\) n/a 1112 2
6552.2.ge \(\chi_{6552}(3301, \cdot)\) n/a 2672 2
6552.2.gj \(\chi_{6552}(4957, \cdot)\) n/a 2016 2
6552.2.gk \(\chi_{6552}(3397, \cdot)\) n/a 2672 2
6552.2.go \(\chi_{6552}(3643, \cdot)\) n/a 2672 2
6552.2.gp \(\chi_{6552}(1375, \cdot)\) None 0 2
6552.2.gs \(\chi_{6552}(4255, \cdot)\) None 0 2
6552.2.gt \(\chi_{6552}(1147, \cdot)\) n/a 2672 2
6552.2.gv \(\chi_{6552}(3043, \cdot)\) n/a 960 2
6552.2.gx \(\chi_{6552}(103, \cdot)\) None 0 2
6552.2.ha \(\chi_{6552}(859, \cdot)\) n/a 2304 2
6552.2.hc \(\chi_{6552}(2287, \cdot)\) None 0 2
6552.2.hf \(\chi_{6552}(4573, \cdot)\) n/a 1112 2
6552.2.hi \(\chi_{6552}(1429, \cdot)\) n/a 2016 2
6552.2.hk \(\chi_{6552}(107, \cdot)\) n/a 896 2
6552.2.hl \(\chi_{6552}(4391, \cdot)\) None 0 2
6552.2.ho \(\chi_{6552}(2003, \cdot)\) n/a 1728 2
6552.2.hp \(\chi_{6552}(1247, \cdot)\) None 0 2
6552.2.hr \(\chi_{6552}(2369, \cdot)\) n/a 672 2
6552.2.hu \(\chi_{6552}(101, \cdot)\) n/a 2672 2
6552.2.hv \(\chi_{6552}(2981, \cdot)\) n/a 2672 2
6552.2.hy \(\chi_{6552}(2057, \cdot)\) n/a 672 2
6552.2.ia \(\chi_{6552}(521, \cdot)\) n/a 192 2
6552.2.ic \(\chi_{6552}(1013, \cdot)\) n/a 2672 2
6552.2.id \(\chi_{6552}(1769, \cdot)\) n/a 576 2
6552.2.if \(\chi_{6552}(5381, \cdot)\) n/a 896 2
6552.2.ih \(\chi_{6552}(935, \cdot)\) None 0 2
6552.2.ij \(\chi_{6552}(4811, \cdot)\) n/a 2304 2
6552.2.im \(\chi_{6552}(4055, \cdot)\) None 0 2
6552.2.io \(\chi_{6552}(1691, \cdot)\) n/a 768 2
6552.2.iq \(\chi_{6552}(659, \cdot)\) n/a 2016 2
6552.2.ir \(\chi_{6552}(407, \cdot)\) None 0 2
6552.2.iu \(\chi_{6552}(1031, \cdot)\) None 0 2
6552.2.iv \(\chi_{6552}(1283, \cdot)\) n/a 2672 2
6552.2.ix \(\chi_{6552}(3821, \cdot)\) n/a 2672 2
6552.2.ja \(\chi_{6552}(209, \cdot)\) n/a 576 2
6552.2.jb \(\chi_{6552}(1349, \cdot)\) n/a 896 2
6552.2.je \(\chi_{6552}(3545, \cdot)\) n/a 224 2
6552.2.jf \(\chi_{6552}(2383, \cdot)\) None 0 2
6552.2.ji \(\chi_{6552}(2635, \cdot)\) n/a 2672 2
6552.2.jk \(\chi_{6552}(589, \cdot)\) n/a 2016 2
6552.2.jo \(\chi_{6552}(3637, \cdot)\) n/a 1112 2
6552.2.jq \(\chi_{6552}(5743, \cdot)\) None 0 2
6552.2.jr \(\chi_{6552}(1459, \cdot)\) n/a 1112 2
6552.2.jt \(\chi_{6552}(139, \cdot)\) n/a 2672 2
6552.2.jw \(\chi_{6552}(3247, \cdot)\) None 0 2
6552.2.jy \(\chi_{6552}(277, \cdot)\) n/a 2672 2
6552.2.kb \(\chi_{6552}(1615, \cdot)\) None 0 2
6552.2.kc \(\chi_{6552}(5659, \cdot)\) n/a 2672 2
6552.2.kf \(\chi_{6552}(361, \cdot)\) n/a 280 2
6552.2.kg \(\chi_{6552}(2557, \cdot)\) n/a 1112 2
6552.2.ki \(\chi_{6552}(2941, \cdot)\) n/a 2016 2
6552.2.kl \(\chi_{6552}(673, \cdot)\) n/a 504 2
6552.2.kn \(\chi_{6552}(3163, \cdot)\) n/a 2672 2
6552.2.ko \(\chi_{6552}(2239, \cdot)\) None 0 2
6552.2.kq \(\chi_{6552}(2791, \cdot)\) None 0 2
6552.2.kt \(\chi_{6552}(2467, \cdot)\) n/a 1112 2
6552.2.ku \(\chi_{6552}(3553, \cdot)\) n/a 672 2
6552.2.kx \(\chi_{6552}(1381, \cdot)\) n/a 2672 2
6552.2.ky \(\chi_{6552}(155, \cdot)\) n/a 2016 2
6552.2.lb \(\chi_{6552}(911, \cdot)\) None 0 2
6552.2.lc \(\chi_{6552}(1115, \cdot)\) n/a 896 2
6552.2.lf \(\chi_{6552}(1439, \cdot)\) None 0 2
6552.2.lh \(\chi_{6552}(5333, \cdot)\) n/a 2672 2
6552.2.li \(\chi_{6552}(3065, \cdot)\) n/a 672 2
6552.2.lk \(\chi_{6552}(2105, \cdot)\) n/a 224 2
6552.2.lm \(\chi_{6552}(1613, \cdot)\) n/a 2304 2
6552.2.lp \(\chi_{6552}(857, \cdot)\) n/a 672 2
6552.2.lr \(\chi_{6552}(2861, \cdot)\) n/a 768 2
6552.2.lt \(\chi_{6552}(1265, \cdot)\) n/a 672 2
6552.2.lu \(\chi_{6552}(1517, \cdot)\) n/a 2672 2
6552.2.lw \(\chi_{6552}(263, \cdot)\) None 0 2
6552.2.lz \(\chi_{6552}(4307, \cdot)\) n/a 2672 2
6552.2.mb \(\chi_{6552}(4967, \cdot)\) None 0 2
6552.2.md \(\chi_{6552}(779, \cdot)\) n/a 2672 2
6552.2.me \(\chi_{6552}(1535, \cdot)\) None 0 2
6552.2.mg \(\chi_{6552}(4211, \cdot)\) n/a 896 2
6552.2.mi \(\chi_{6552}(491, \cdot)\) n/a 2016 2
6552.2.ml \(\chi_{6552}(2759, \cdot)\) None 0 2
6552.2.mn \(\chi_{6552}(269, \cdot)\) n/a 896 2
6552.2.mo \(\chi_{6552}(17, \cdot)\) n/a 224 2
6552.2.mr \(\chi_{6552}(1301, \cdot)\) n/a 2304 2
6552.2.ms \(\chi_{6552}(545, \cdot)\) n/a 672 2
6552.2.mu \(\chi_{6552}(3727, \cdot)\) None 0 2
6552.2.mx \(\chi_{6552}(1531, \cdot)\) n/a 1112 2
6552.2.my \(\chi_{6552}(391, \cdot)\) None 0 2
6552.2.nb \(\chi_{6552}(4003, \cdot)\) n/a 2672 2
6552.2.nd \(\chi_{6552}(373, \cdot)\) n/a 2672 2
6552.2.ne \(\chi_{6552}(121, \cdot)\) n/a 672 2
6552.2.ng \(\chi_{6552}(5149, \cdot)\) n/a 960 2
6552.2.ni \(\chi_{6552}(25, \cdot)\) n/a 672 2
6552.2.nl \(\chi_{6552}(781, \cdot)\) n/a 2304 2
6552.2.nn \(\chi_{6552}(4393, \cdot)\) n/a 280 2
6552.2.np \(\chi_{6552}(1681, \cdot)\) n/a 504 2
6552.2.nq \(\chi_{6552}(1933, \cdot)\) n/a 2016 2
6552.2.ns \(\chi_{6552}(1231, \cdot)\) None 0 2
6552.2.nv \(\chi_{6552}(979, \cdot)\) n/a 2672 2
6552.2.nx \(\chi_{6552}(5563, \cdot)\) n/a 1112 2
6552.2.nz \(\chi_{6552}(2887, \cdot)\) None 0 2
6552.2.oa \(\chi_{6552}(2131, \cdot)\) n/a 2672 2
6552.2.oc \(\chi_{6552}(703, \cdot)\) None 0 2
6552.2.oe \(\chi_{6552}(355, \cdot)\) n/a 2672 2
6552.2.oh \(\chi_{6552}(367, \cdot)\) None 0 2
6552.2.oj \(\chi_{6552}(337, \cdot)\) n/a 504 2
6552.2.ok \(\chi_{6552}(1093, \cdot)\) n/a 1728 2
6552.2.on \(\chi_{6552}(1297, \cdot)\) n/a 280 2
6552.2.oo \(\chi_{6552}(1621, \cdot)\) n/a 1112 2
6552.2.or \(\chi_{6552}(3299, \cdot)\) n/a 2672 2
6552.2.os \(\chi_{6552}(5567, \cdot)\) None 0 2
6552.2.ou \(\chi_{6552}(4073, \cdot)\) n/a 672 2
6552.2.ox \(\chi_{6552}(965, \cdot)\) n/a 2672 2
6552.2.oz \(\chi_{6552}(1277, \cdot)\) n/a 896 2
6552.2.pa \(\chi_{6552}(5561, \cdot)\) n/a 224 2
6552.2.pc \(\chi_{6552}(179, \cdot)\) n/a 896 2
6552.2.pf \(\chi_{6552}(2375, \cdot)\) None 0 2
6552.2.ph \(\chi_{6552}(1751, \cdot)\) None 0 2
6552.2.pi \(\chi_{6552}(1499, \cdot)\) n/a 2016 2
6552.2.pk \(\chi_{6552}(2525, \cdot)\) n/a 2672 2
6552.2.pn \(\chi_{6552}(257, \cdot)\) n/a 672 2
6552.2.po \(\chi_{6552}(1949, \cdot)\) n/a 2672 2
6552.2.pr \(\chi_{6552}(2705, \cdot)\) n/a 576 2
6552.2.pt \(\chi_{6552}(443, \cdot)\) n/a 2304 2
6552.2.pu \(\chi_{6552}(3119, \cdot)\) None 0 2
6552.2.pw \(\chi_{6552}(2707, \cdot)\) n/a 2672 2
6552.2.pz \(\chi_{6552}(439, \cdot)\) None 0 2
6552.2.qb \(\chi_{6552}(1765, \cdot)\) n/a 840 2
6552.2.qf \(\chi_{6552}(1213, \cdot)\) n/a 2672 2
6552.2.qh \(\chi_{6552}(1447, \cdot)\) None 0 2
6552.2.qi \(\chi_{6552}(1699, \cdot)\) n/a 2672 2
6552.2.qk \(\chi_{6552}(1063, \cdot)\) None 0 2
6552.2.qn \(\chi_{6552}(2323, \cdot)\) n/a 1112 2
6552.2.qp \(\chi_{6552}(205, \cdot)\) n/a 2672 2
6552.2.qr \(\chi_{6552}(95, \cdot)\) None 0 2
6552.2.qu \(\chi_{6552}(347, \cdot)\) n/a 2672 2
6552.2.qv \(\chi_{6552}(173, \cdot)\) n/a 2672 2
6552.2.qy \(\chi_{6552}(185, \cdot)\) n/a 672 2
6552.2.ra \(\chi_{6552}(4157, \cdot)\) n/a 896 2
6552.2.rb \(\chi_{6552}(5417, \cdot)\) n/a 224 2
6552.2.rd \(\chi_{6552}(2843, \cdot)\) n/a 672 2
6552.2.rg \(\chi_{6552}(1583, \cdot)\) None 0 2
6552.2.ri \(\chi_{6552}(1355, \cdot)\) n/a 2672 2
6552.2.rj \(\chi_{6552}(3215, \cdot)\) None 0 2
6552.2.rm \(\chi_{6552}(1433, \cdot)\) n/a 672 2
6552.2.rn \(\chi_{6552}(5477, \cdot)\) n/a 2672 2
6552.2.rr \(\chi_{6552}(4237, \cdot)\) n/a 2672 2
6552.2.rt \(\chi_{6552}(1039, \cdot)\) None 0 2
6552.2.ru \(\chi_{6552}(1795, \cdot)\) n/a 2304 2
6552.2.rx \(\chi_{6552}(2411, \cdot)\) n/a 1792 4
6552.2.rz \(\chi_{6552}(1151, \cdot)\) None 0 4
6552.2.sb \(\chi_{6552}(1579, \cdot)\) n/a 5344 4
6552.2.sd \(\chi_{6552}(319, \cdot)\) None 0 4
6552.2.sf \(\chi_{6552}(463, \cdot)\) None 0 4
6552.2.sg \(\chi_{6552}(2671, \cdot)\) None 0 4
6552.2.si \(\chi_{6552}(1003, \cdot)\) n/a 5344 4
6552.2.sl \(\chi_{6552}(1555, \cdot)\) n/a 4032 4
6552.2.sn \(\chi_{6552}(1055, \cdot)\) None 0 4
6552.2.sp \(\chi_{6552}(59, \cdot)\) n/a 5344 4
6552.2.sq \(\chi_{6552}(227, \cdot)\) n/a 5344 4
6552.2.st \(\chi_{6552}(83, \cdot)\) n/a 5344 4
6552.2.sv \(\chi_{6552}(671, \cdot)\) None 0 4
6552.2.sw \(\chi_{6552}(3503, \cdot)\) None 0 4
6552.2.sz \(\chi_{6552}(487, \cdot)\) None 0 4
6552.2.tb \(\chi_{6552}(1675, \cdot)\) n/a 2224 4
6552.2.tc \(\chi_{6552}(1321, \cdot)\) n/a 1344 4
6552.2.te \(\chi_{6552}(1165, \cdot)\) n/a 5344 4
6552.2.th \(\chi_{6552}(2749, \cdot)\) n/a 5344 4
6552.2.ti \(\chi_{6552}(97, \cdot)\) n/a 1344 4
6552.2.tk \(\chi_{6552}(2533, \cdot)\) n/a 5344 4
6552.2.tn \(\chi_{6552}(1489, \cdot)\) n/a 1344 4
6552.2.tp \(\chi_{6552}(197, \cdot)\) n/a 1344 4
6552.2.tq \(\chi_{6552}(2333, \cdot)\) n/a 5344 4
6552.2.ts \(\chi_{6552}(977, \cdot)\) n/a 1344 4
6552.2.tv \(\chi_{6552}(449, \cdot)\) n/a 336 4
6552.2.tw \(\chi_{6552}(4337, \cdot)\) n/a 448 4
6552.2.ty \(\chi_{6552}(617, \cdot)\) n/a 1008 4
6552.2.ua \(\chi_{6552}(557, \cdot)\) n/a 1792 4
6552.2.ud \(\chi_{6552}(4181, \cdot)\) n/a 5344 4
6552.2.ue \(\chi_{6552}(1241, \cdot)\) n/a 448 4
6552.2.uh \(\chi_{6552}(905, \cdot)\) n/a 1344 4
6552.2.ui \(\chi_{6552}(3053, \cdot)\) n/a 4032 4
6552.2.uk \(\chi_{6552}(1061, \cdot)\) n/a 1792 4
6552.2.um \(\chi_{6552}(3841, \cdot)\) n/a 1344 4
6552.2.up \(\chi_{6552}(1441, \cdot)\) n/a 560 4
6552.2.ur \(\chi_{6552}(1189, \cdot)\) n/a 2224 4
6552.2.us \(\chi_{6552}(565, \cdot)\) n/a 5344 4
6552.2.uu \(\chi_{6552}(349, \cdot)\) n/a 5344 4
6552.2.uw \(\chi_{6552}(2413, \cdot)\) n/a 2224 4
6552.2.uz \(\chi_{6552}(2257, \cdot)\) n/a 1344 4
6552.2.va \(\chi_{6552}(1081, \cdot)\) n/a 560 4
6552.2.vd \(\chi_{6552}(229, \cdot)\) n/a 5344 4
6552.2.ve \(\chi_{6552}(397, \cdot)\) n/a 2224 4
6552.2.vg \(\chi_{6552}(73, \cdot)\) n/a 560 4
6552.2.vi \(\chi_{6552}(2281, \cdot)\) n/a 1344 4
6552.2.vk \(\chi_{6552}(317, \cdot)\) n/a 5344 4
6552.2.vm \(\chi_{6552}(473, \cdot)\) n/a 1344 4
6552.2.vp \(\chi_{6552}(1649, \cdot)\) n/a 1344 4
6552.2.vq \(\chi_{6552}(869, \cdot)\) n/a 4032 4
6552.2.vs \(\chi_{6552}(2801, \cdot)\) n/a 1008 4
6552.2.vv \(\chi_{6552}(149, \cdot)\) n/a 5344 4
6552.2.vx \(\chi_{6552}(2075, \cdot)\) n/a 5344 4
6552.2.vz \(\chi_{6552}(47, \cdot)\) None 0 4
6552.2.wa \(\chi_{6552}(383, \cdot)\) None 0 4
6552.2.wd \(\chi_{6552}(2099, \cdot)\) n/a 5344 4
6552.2.wf \(\chi_{6552}(167, \cdot)\) None 0 4
6552.2.wg \(\chi_{6552}(3659, \cdot)\) n/a 5344 4
6552.2.wi \(\chi_{6552}(631, \cdot)\) None 0 4
6552.2.wl \(\chi_{6552}(1831, \cdot)\) None 0 4
6552.2.wn \(\chi_{6552}(67, \cdot)\) n/a 5344 4
6552.2.wo \(\chi_{6552}(379, \cdot)\) n/a 1680 4
6552.2.wr \(\chi_{6552}(1243, \cdot)\) n/a 2224 4
6552.2.wt \(\chi_{6552}(1051, \cdot)\) n/a 4032 4
6552.2.wu \(\chi_{6552}(151, \cdot)\) None 0 4
6552.2.wx \(\chi_{6552}(1423, \cdot)\) None 0 4
6552.2.wy \(\chi_{6552}(499, \cdot)\) n/a 5344 4
6552.2.xb \(\chi_{6552}(163, \cdot)\) n/a 2224 4
6552.2.xd \(\chi_{6552}(2983, \cdot)\) None 0 4
6552.2.xf \(\chi_{6552}(4519, \cdot)\) None 0 4
6552.2.xh \(\chi_{6552}(1307, \cdot)\) n/a 5344 4
6552.2.xi \(\chi_{6552}(1259, \cdot)\) n/a 1792 4
6552.2.xk \(\chi_{6552}(1007, \cdot)\) None 0 4
6552.2.xn \(\chi_{6552}(2567, \cdot)\) None 0 4
6552.2.xp \(\chi_{6552}(2351, \cdot)\) None 0 4
6552.2.xr \(\chi_{6552}(2231, \cdot)\) None 0 4
6552.2.xt \(\chi_{6552}(899, \cdot)\) n/a 1792 4
6552.2.xu \(\chi_{6552}(1139, \cdot)\) n/a 5344 4
6552.2.xx \(\chi_{6552}(215, \cdot)\) None 0 4
6552.2.xy \(\chi_{6552}(983, \cdot)\) None 0 4
6552.2.yb \(\chi_{6552}(395, \cdot)\) n/a 1792 4
6552.2.yd \(\chi_{6552}(587, \cdot)\) n/a 5344 4
6552.2.yf \(\chi_{6552}(1087, \cdot)\) None 0 4
6552.2.yh \(\chi_{6552}(4363, \cdot)\) n/a 5344 4
6552.2.yi \(\chi_{6552}(2515, \cdot)\) n/a 5344 4
6552.2.yl \(\chi_{6552}(799, \cdot)\) None 0 4
6552.2.yn \(\chi_{6552}(3235, \cdot)\) n/a 4032 4
6552.2.yo \(\chi_{6552}(1159, \cdot)\) None 0 4
6552.2.yq \(\chi_{6552}(145, \cdot)\) n/a 560 4
6552.2.ys \(\chi_{6552}(1333, \cdot)\) n/a 2224 4
6552.2.yu \(\chi_{6552}(2489, \cdot)\) n/a 1344 4
6552.2.yw \(\chi_{6552}(821, \cdot)\) n/a 5344 4
6552.2.yy \(\chi_{6552}(1373, \cdot)\) n/a 4032 4
6552.2.zb \(\chi_{6552}(1397, \cdot)\) n/a 5344 4
6552.2.zd \(\chi_{6552}(137, \cdot)\) n/a 1344 4
6552.2.ze \(\chi_{6552}(281, \cdot)\) n/a 1008 4
6552.2.zg \(\chi_{6552}(3685, \cdot)\) n/a 5344 4
6552.2.zi \(\chi_{6552}(409, \cdot)\) n/a 1344 4
6552.2.zl \(\chi_{6552}(241, \cdot)\) n/a 1344 4
6552.2.zm \(\chi_{6552}(265, \cdot)\) n/a 1344 4
6552.2.zo \(\chi_{6552}(853, \cdot)\) n/a 5344 4
6552.2.zr \(\chi_{6552}(1237, \cdot)\) n/a 5344 4
6552.2.zs \(\chi_{6552}(1493, \cdot)\) n/a 1792 4
6552.2.zu \(\chi_{6552}(305, \cdot)\) n/a 448 4

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(6552))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(6552)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(1))\)\(^{\oplus 48}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2))\)\(^{\oplus 36}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(3))\)\(^{\oplus 32}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(4))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(6))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(7))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(8))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(9))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(12))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(13))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(14))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(18))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(21))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(24))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(26))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(28))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(36))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(39))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(42))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(52))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(56))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(63))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(72))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(78))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(84))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(91))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(104))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(117))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(126))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(156))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(168))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(182))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(234))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(252))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(273))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(312))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(364))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(468))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(504))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(546))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(728))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(819))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(936))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1092))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1638))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2184))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(3276))\)\(^{\oplus 2}\)