Properties

Label 4896.2
Level 4896
Weight 2
Dimension 292086
Nonzero newspaces 88
Sturm bound 2654208

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Defining parameters

Level: \( N \) = \( 4896 = 2^{5} \cdot 3^{2} \cdot 17 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 88 \)
Sturm bound: \(2654208\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(4896))\).

Total New Old
Modular forms 671744 294786 376958
Cusp forms 655361 292086 363275
Eisenstein series 16383 2700 13683

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(4896))\)

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 the newforms together with their dimension.

Label \(\chi\) Newforms Dimension \(\chi\) degree
4896.2.a \(\chi_{4896}(1, \cdot)\) 4896.2.a.a 1 1
4896.2.a.b 1
4896.2.a.c 1
4896.2.a.d 1
4896.2.a.e 1
4896.2.a.f 1
4896.2.a.g 1
4896.2.a.h 1
4896.2.a.i 1
4896.2.a.j 1
4896.2.a.k 1
4896.2.a.l 1
4896.2.a.m 1
4896.2.a.n 1
4896.2.a.o 1
4896.2.a.p 1
4896.2.a.q 1
4896.2.a.r 1
4896.2.a.s 2
4896.2.a.t 2
4896.2.a.u 2
4896.2.a.v 2
4896.2.a.w 2
4896.2.a.x 2
4896.2.a.y 2
4896.2.a.z 2
4896.2.a.ba 3
4896.2.a.bb 3
4896.2.a.bc 3
4896.2.a.bd 3
4896.2.a.be 3
4896.2.a.bf 3
4896.2.a.bg 4
4896.2.a.bh 4
4896.2.a.bi 4
4896.2.a.bj 4
4896.2.a.bk 6
4896.2.a.bl 6
4896.2.c \(\chi_{4896}(577, \cdot)\) 4896.2.c.a 2 1
4896.2.c.b 2
4896.2.c.c 2
4896.2.c.d 2
4896.2.c.e 2
4896.2.c.f 4
4896.2.c.g 4
4896.2.c.h 4
4896.2.c.i 4
4896.2.c.j 4
4896.2.c.k 4
4896.2.c.l 4
4896.2.c.m 4
4896.2.c.n 4
4896.2.c.o 8
4896.2.c.p 8
4896.2.c.q 8
4896.2.c.r 10
4896.2.c.s 10
4896.2.e \(\chi_{4896}(4319, \cdot)\) 4896.2.e.a 4 1
4896.2.e.b 4
4896.2.e.c 4
4896.2.e.d 4
4896.2.e.e 8
4896.2.e.f 8
4896.2.e.g 16
4896.2.e.h 16
4896.2.f \(\chi_{4896}(2449, \cdot)\) 4896.2.f.a 2 1
4896.2.f.b 4
4896.2.f.c 8
4896.2.f.d 8
4896.2.f.e 12
4896.2.f.f 14
4896.2.f.g 16
4896.2.f.h 16
4896.2.h \(\chi_{4896}(2447, \cdot)\) 4896.2.h.a 8 1
4896.2.h.b 8
4896.2.h.c 56
4896.2.j \(\chi_{4896}(1871, \cdot)\) 4896.2.j.a 64 1
4896.2.l \(\chi_{4896}(3025, \cdot)\) 4896.2.l.a 4 1
4896.2.l.b 16
4896.2.l.c 18
4896.2.l.d 18
4896.2.l.e 32
4896.2.o \(\chi_{4896}(4895, \cdot)\) 4896.2.o.a 32 1
4896.2.o.b 40
4896.2.q \(\chi_{4896}(1633, \cdot)\) n/a 384 2
4896.2.s \(\chi_{4896}(4535, \cdot)\) None 0 2
4896.2.t \(\chi_{4896}(217, \cdot)\) None 0 2
4896.2.v \(\chi_{4896}(1225, \cdot)\) None 0 2
4896.2.x \(\chi_{4896}(1223, \cdot)\) None 0 2
4896.2.z \(\chi_{4896}(1007, \cdot)\) n/a 144 2
4896.2.bb \(\chi_{4896}(1585, \cdot)\) n/a 176 2
4896.2.be \(\chi_{4896}(1441, \cdot)\) n/a 180 2
4896.2.bg \(\chi_{4896}(863, \cdot)\) n/a 144 2
4896.2.bi \(\chi_{4896}(647, \cdot)\) None 0 2
4896.2.bk \(\chi_{4896}(1801, \cdot)\) None 0 2
4896.2.bm \(\chi_{4896}(2665, \cdot)\) None 0 2
4896.2.bn \(\chi_{4896}(2087, \cdot)\) None 0 2
4896.2.bq \(\chi_{4896}(1631, \cdot)\) n/a 432 2
4896.2.bt \(\chi_{4896}(1393, \cdot)\) n/a 424 2
4896.2.bv \(\chi_{4896}(239, \cdot)\) n/a 384 2
4896.2.bx \(\chi_{4896}(815, \cdot)\) n/a 424 2
4896.2.bz \(\chi_{4896}(817, \cdot)\) n/a 384 2
4896.2.ca \(\chi_{4896}(1055, \cdot)\) n/a 384 2
4896.2.cc \(\chi_{4896}(2209, \cdot)\) n/a 432 2
4896.2.cf \(\chi_{4896}(467, \cdot)\) n/a 1152 4
4896.2.ch \(\chi_{4896}(325, \cdot)\) n/a 1432 4
4896.2.cj \(\chi_{4896}(251, \cdot)\) n/a 1152 4
4896.2.cl \(\chi_{4896}(829, \cdot)\) n/a 1432 4
4896.2.cn \(\chi_{4896}(899, \cdot)\) n/a 1152 4
4896.2.cp \(\chi_{4896}(253, \cdot)\) n/a 1432 4
4896.2.cs \(\chi_{4896}(865, \cdot)\) n/a 360 4
4896.2.ct \(\chi_{4896}(287, \cdot)\) n/a 288 4
4896.2.cu \(\chi_{4896}(359, \cdot)\) None 0 4
4896.2.cv \(\chi_{4896}(937, \cdot)\) None 0 4
4896.2.cy \(\chi_{4896}(1189, \cdot)\) n/a 1432 4
4896.2.cz \(\chi_{4896}(35, \cdot)\) n/a 1024 4
4896.2.dc \(\chi_{4896}(611, \cdot)\) n/a 1152 4
4896.2.dd \(\chi_{4896}(613, \cdot)\) n/a 1280 4
4896.2.dg \(\chi_{4896}(2807, \cdot)\) None 0 4
4896.2.dh \(\chi_{4896}(3385, \cdot)\) None 0 4
4896.2.dk \(\chi_{4896}(145, \cdot)\) n/a 352 4
4896.2.dl \(\chi_{4896}(1583, \cdot)\) n/a 288 4
4896.2.dp \(\chi_{4896}(757, \cdot)\) n/a 1432 4
4896.2.dr \(\chi_{4896}(1691, \cdot)\) n/a 1152 4
4896.2.ds \(\chi_{4896}(973, \cdot)\) n/a 1432 4
4896.2.du \(\chi_{4896}(395, \cdot)\) n/a 1152 4
4896.2.dx \(\chi_{4896}(1477, \cdot)\) n/a 1432 4
4896.2.dz \(\chi_{4896}(179, \cdot)\) n/a 1152 4
4896.2.ea \(\chi_{4896}(455, \cdot)\) None 0 4
4896.2.ed \(\chi_{4896}(1033, \cdot)\) None 0 4
4896.2.ee \(\chi_{4896}(169, \cdot)\) None 0 4
4896.2.eg \(\chi_{4896}(1463, \cdot)\) None 0 4
4896.2.ej \(\chi_{4896}(769, \cdot)\) n/a 864 4
4896.2.el \(\chi_{4896}(191, \cdot)\) n/a 864 4
4896.2.em \(\chi_{4896}(47, \cdot)\) n/a 848 4
4896.2.eo \(\chi_{4896}(625, \cdot)\) n/a 848 4
4896.2.er \(\chi_{4896}(407, \cdot)\) None 0 4
4896.2.et \(\chi_{4896}(409, \cdot)\) None 0 4
4896.2.eu \(\chi_{4896}(1849, \cdot)\) None 0 4
4896.2.ex \(\chi_{4896}(1271, \cdot)\) None 0 4
4896.2.ez \(\chi_{4896}(233, \cdot)\) None 0 8
4896.2.fa \(\chi_{4896}(343, \cdot)\) None 0 8
4896.2.fd \(\chi_{4896}(91, \cdot)\) n/a 2864 8
4896.2.fe \(\chi_{4896}(197, \cdot)\) n/a 2304 8
4896.2.fh \(\chi_{4896}(449, \cdot)\) n/a 576 8
4896.2.fi \(\chi_{4896}(415, \cdot)\) n/a 720 8
4896.2.fk \(\chi_{4896}(125, \cdot)\) n/a 2304 8
4896.2.fn \(\chi_{4896}(163, \cdot)\) n/a 2864 8
4896.2.fo \(\chi_{4896}(1133, \cdot)\) n/a 2304 8
4896.2.fr \(\chi_{4896}(235, \cdot)\) n/a 2864 8
4896.2.ft \(\chi_{4896}(847, \cdot)\) n/a 704 8
4896.2.fu \(\chi_{4896}(881, \cdot)\) n/a 576 8
4896.2.fw \(\chi_{4896}(1099, \cdot)\) n/a 2864 8
4896.2.fz \(\chi_{4896}(269, \cdot)\) n/a 2304 8
4896.2.gb \(\chi_{4896}(377, \cdot)\) None 0 8
4896.2.gc \(\chi_{4896}(199, \cdot)\) None 0 8
4896.2.ge \(\chi_{4896}(349, \cdot)\) n/a 6880 8
4896.2.gg \(\chi_{4896}(155, \cdot)\) n/a 6880 8
4896.2.gj \(\chi_{4896}(659, \cdot)\) n/a 6880 8
4896.2.gl \(\chi_{4896}(157, \cdot)\) n/a 6880 8
4896.2.gm \(\chi_{4896}(59, \cdot)\) n/a 6880 8
4896.2.go \(\chi_{4896}(229, \cdot)\) n/a 6880 8
4896.2.gq \(\chi_{4896}(49, \cdot)\) n/a 1696 8
4896.2.gr \(\chi_{4896}(1103, \cdot)\) n/a 1696 8
4896.2.gw \(\chi_{4896}(1991, \cdot)\) None 0 8
4896.2.gx \(\chi_{4896}(25, \cdot)\) None 0 8
4896.2.ha \(\chi_{4896}(205, \cdot)\) n/a 6144 8
4896.2.hb \(\chi_{4896}(203, \cdot)\) n/a 6880 8
4896.2.he \(\chi_{4896}(443, \cdot)\) n/a 6144 8
4896.2.hf \(\chi_{4896}(373, \cdot)\) n/a 6880 8
4896.2.hi \(\chi_{4896}(263, \cdot)\) None 0 8
4896.2.hj \(\chi_{4896}(121, \cdot)\) None 0 8
4896.2.hm \(\chi_{4896}(961, \cdot)\) n/a 1728 8
4896.2.hn \(\chi_{4896}(383, \cdot)\) n/a 1728 8
4896.2.ho \(\chi_{4896}(1573, \cdot)\) n/a 6880 8
4896.2.hq \(\chi_{4896}(563, \cdot)\) n/a 6880 8
4896.2.hs \(\chi_{4896}(13, \cdot)\) n/a 6880 8
4896.2.hu \(\chi_{4896}(803, \cdot)\) n/a 6880 8
4896.2.hw \(\chi_{4896}(995, \cdot)\) n/a 6880 8
4896.2.hy \(\chi_{4896}(637, \cdot)\) n/a 6880 8
4896.2.ib \(\chi_{4896}(583, \cdot)\) None 0 16
4896.2.ic \(\chi_{4896}(41, \cdot)\) None 0 16
4896.2.ie \(\chi_{4896}(283, \cdot)\) n/a 13760 16
4896.2.ih \(\chi_{4896}(533, \cdot)\) n/a 13760 16
4896.2.ij \(\chi_{4896}(31, \cdot)\) n/a 3456 16
4896.2.ik \(\chi_{4896}(65, \cdot)\) n/a 3456 16
4896.2.im \(\chi_{4896}(5, \cdot)\) n/a 13760 16
4896.2.ip \(\chi_{4896}(499, \cdot)\) n/a 13760 16
4896.2.iq \(\chi_{4896}(437, \cdot)\) n/a 13760 16
4896.2.it \(\chi_{4896}(139, \cdot)\) n/a 13760 16
4896.2.iv \(\chi_{4896}(113, \cdot)\) n/a 3392 16
4896.2.iw \(\chi_{4896}(79, \cdot)\) n/a 3392 16
4896.2.iz \(\chi_{4896}(403, \cdot)\) n/a 13760 16
4896.2.ja \(\chi_{4896}(29, \cdot)\) n/a 13760 16
4896.2.jd \(\chi_{4896}(7, \cdot)\) None 0 16
4896.2.je \(\chi_{4896}(617, \cdot)\) None 0 16

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(4896))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(4896)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(16))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(17))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(18))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(24))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(32))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(34))\)\(^{\oplus 15}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(36))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(48))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(51))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(68))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(72))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(96))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(102))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(136))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(144))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(153))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(204))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(272))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(288))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(306))\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(408))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(544))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(612))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(816))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1224))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1632))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2448))\)\(^{\oplus 2}\)