Properties

Label 7105.2
Level 7105
Weight 2
Dimension 1725892
Nonzero newspaces 180
Sturm bound 7902720

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Defining parameters

Level: \( N \) = \( 7105 = 5 \cdot 7^{2} \cdot 29 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 180 \)
Sturm bound: \(7902720\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(7105))\).

Total New Old
Modular forms 1989120 1741608 247512
Cusp forms 1962241 1725892 236349
Eisenstein series 26879 15716 11163

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(7105))\)

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
7105.2.a \(\chi_{7105}(1, \cdot)\) 7105.2.a.a 1 1
7105.2.a.b 1
7105.2.a.c 1
7105.2.a.d 1
7105.2.a.e 2
7105.2.a.f 2
7105.2.a.g 2
7105.2.a.h 2
7105.2.a.i 2
7105.2.a.j 2
7105.2.a.k 2
7105.2.a.l 3
7105.2.a.m 3
7105.2.a.n 3
7105.2.a.o 3
7105.2.a.p 3
7105.2.a.q 6
7105.2.a.r 7
7105.2.a.s 7
7105.2.a.t 8
7105.2.a.u 11
7105.2.a.v 14
7105.2.a.w 14
7105.2.a.x 14
7105.2.a.y 14
7105.2.a.z 17
7105.2.a.ba 17
7105.2.a.bb 17
7105.2.a.bc 17
7105.2.a.bd 19
7105.2.a.be 19
7105.2.a.bf 21
7105.2.a.bg 21
7105.2.a.bh 26
7105.2.a.bi 26
7105.2.a.bj 28
7105.2.a.bk 28
7105.2.b \(\chi_{7105}(2696, \cdot)\) n/a 410 1
7105.2.c \(\chi_{7105}(4264, \cdot)\) n/a 574 1
7105.2.h \(\chi_{7105}(6959, \cdot)\) n/a 604 1
7105.2.i \(\chi_{7105}(1451, \cdot)\) n/a 744 2
7105.2.k \(\chi_{7105}(2598, \cdot)\) n/a 1210 2
7105.2.l \(\chi_{7105}(4262, \cdot)\) n/a 1184 2
7105.2.o \(\chi_{7105}(1567, \cdot)\) n/a 1120 2
7105.2.q \(\chi_{7105}(244, \cdot)\) n/a 1184 2
7105.2.r \(\chi_{7105}(3086, \cdot)\) n/a 800 2
7105.2.t \(\chi_{7105}(1177, \cdot)\) n/a 1210 2
7105.2.v \(\chi_{7105}(1304, \cdot)\) n/a 1184 2
7105.2.ba \(\chi_{7105}(5714, \cdot)\) n/a 1120 2
7105.2.bb \(\chi_{7105}(4146, \cdot)\) n/a 800 2
7105.2.bc \(\chi_{7105}(1611, \cdot)\) n/a 3360 6
7105.2.bd \(\chi_{7105}(281, \cdot)\) n/a 3360 6
7105.2.be \(\chi_{7105}(36, \cdot)\) n/a 3360 6
7105.2.bf \(\chi_{7105}(1016, \cdot)\) n/a 3120 6
7105.2.bg \(\chi_{7105}(981, \cdot)\) n/a 2460 6
7105.2.bh \(\chi_{7105}(596, \cdot)\) n/a 3360 6
7105.2.bi \(\chi_{7105}(141, \cdot)\) n/a 3360 6
7105.2.bj \(\chi_{7105}(1821, \cdot)\) n/a 3360 6
7105.2.bl \(\chi_{7105}(128, \cdot)\) n/a 2368 4
7105.2.bm \(\chi_{7105}(117, \cdot)\) n/a 2240 4
7105.2.bp \(\chi_{7105}(1942, \cdot)\) n/a 2368 4
7105.2.br \(\chi_{7105}(1844, \cdot)\) n/a 2368 4
7105.2.bs \(\chi_{7105}(766, \cdot)\) n/a 1600 4
7105.2.bu \(\chi_{7105}(4048, \cdot)\) n/a 2368 4
7105.2.by \(\chi_{7105}(1359, \cdot)\) n/a 5016 6
7105.2.bz \(\chi_{7105}(71, \cdot)\) n/a 3360 6
7105.2.cc \(\chi_{7105}(274, \cdot)\) n/a 5016 6
7105.2.cd \(\chi_{7105}(1289, \cdot)\) n/a 5016 6
7105.2.ce \(\chi_{7105}(64, \cdot)\) n/a 5016 6
7105.2.cf \(\chi_{7105}(869, \cdot)\) n/a 5016 6
7105.2.cg \(\chi_{7105}(589, \cdot)\) n/a 3624 6
7105.2.ch \(\chi_{7105}(1744, \cdot)\) n/a 5016 6
7105.2.cu \(\chi_{7105}(729, \cdot)\) n/a 5016 6
7105.2.cv \(\chi_{7105}(1891, \cdot)\) n/a 3360 6
7105.2.cw \(\chi_{7105}(169, \cdot)\) n/a 5016 6
7105.2.dj \(\chi_{7105}(344, \cdot)\) n/a 3636 6
7105.2.dk \(\chi_{7105}(204, \cdot)\) n/a 4704 6
7105.2.dl \(\chi_{7105}(1184, \cdot)\) n/a 5016 6
7105.2.dm \(\chi_{7105}(239, \cdot)\) n/a 5016 6
7105.2.dn \(\chi_{7105}(1254, \cdot)\) n/a 5016 6
7105.2.do \(\chi_{7105}(1716, \cdot)\) n/a 2460 6
7105.2.dp \(\chi_{7105}(666, \cdot)\) n/a 3360 6
7105.2.dq \(\chi_{7105}(1541, \cdot)\) n/a 3360 6
7105.2.dr \(\chi_{7105}(631, \cdot)\) n/a 3360 6
7105.2.ds \(\chi_{7105}(876, \cdot)\) n/a 3360 6
7105.2.dt \(\chi_{7105}(484, \cdot)\) n/a 5016 6
7105.2.du \(\chi_{7105}(386, \cdot)\) n/a 3360 6
7105.2.dx \(\chi_{7105}(2934, \cdot)\) n/a 5016 6
7105.2.ea \(\chi_{7105}(571, \cdot)\) n/a 6720 12
7105.2.eb \(\chi_{7105}(81, \cdot)\) n/a 6720 12
7105.2.ec \(\chi_{7105}(226, \cdot)\) n/a 4800 12
7105.2.ed \(\chi_{7105}(291, \cdot)\) n/a 6288 12
7105.2.ee \(\chi_{7105}(1486, \cdot)\) n/a 6720 12
7105.2.ef \(\chi_{7105}(16, \cdot)\) n/a 6720 12
7105.2.eg \(\chi_{7105}(1241, \cdot)\) n/a 6720 12
7105.2.eh \(\chi_{7105}(401, \cdot)\) n/a 6720 12
7105.2.ei \(\chi_{7105}(617, \cdot)\) n/a 10032 12
7105.2.ek \(\chi_{7105}(1772, \cdot)\) n/a 10032 12
7105.2.er \(\chi_{7105}(743, \cdot)\) n/a 10032 12
7105.2.es \(\chi_{7105}(1128, \cdot)\) n/a 7260 12
7105.2.et \(\chi_{7105}(127, \cdot)\) n/a 10032 12
7105.2.eu \(\chi_{7105}(8, \cdot)\) n/a 10032 12
7105.2.ev \(\chi_{7105}(218, \cdot)\) n/a 10032 12
7105.2.ew \(\chi_{7105}(162, \cdot)\) n/a 10032 12
7105.2.ez \(\chi_{7105}(76, \cdot)\) n/a 6720 12
7105.2.fa \(\chi_{7105}(454, \cdot)\) n/a 10032 12
7105.2.fc \(\chi_{7105}(1602, \cdot)\) n/a 10032 12
7105.2.ff \(\chi_{7105}(62, \cdot)\) n/a 10032 12
7105.2.fg \(\chi_{7105}(748, \cdot)\) n/a 10032 12
7105.2.fj \(\chi_{7105}(937, \cdot)\) n/a 10032 12
7105.2.fl \(\chi_{7105}(1784, \cdot)\) n/a 10032 12
7105.2.fm \(\chi_{7105}(251, \cdot)\) n/a 6720 12
7105.2.ft \(\chi_{7105}(2911, \cdot)\) n/a 6720 12
7105.2.fu \(\chi_{7105}(461, \cdot)\) n/a 6720 12
7105.2.fv \(\chi_{7105}(391, \cdot)\) n/a 4800 12
7105.2.fw \(\chi_{7105}(41, \cdot)\) n/a 6720 12
7105.2.fx \(\chi_{7105}(356, \cdot)\) n/a 6720 12
7105.2.fy \(\chi_{7105}(279, \cdot)\) n/a 10032 12
7105.2.fz \(\chi_{7105}(104, \cdot)\) n/a 10032 12
7105.2.ga \(\chi_{7105}(1469, \cdot)\) n/a 7104 12
7105.2.gb \(\chi_{7105}(769, \cdot)\) n/a 10032 12
7105.2.gc \(\chi_{7105}(69, \cdot)\) n/a 10032 12
7105.2.gi \(\chi_{7105}(13, \cdot)\) n/a 10032 12
7105.2.gl \(\chi_{7105}(517, \cdot)\) n/a 10032 12
7105.2.gm \(\chi_{7105}(342, \cdot)\) n/a 7104 12
7105.2.gn \(\chi_{7105}(1357, \cdot)\) n/a 10032 12
7105.2.go \(\chi_{7105}(132, \cdot)\) n/a 10032 12
7105.2.gp \(\chi_{7105}(83, \cdot)\) n/a 10032 12
7105.2.gq \(\chi_{7105}(552, \cdot)\) n/a 9408 12
7105.2.hb \(\chi_{7105}(202, \cdot)\) n/a 10032 12
7105.2.hc \(\chi_{7105}(622, \cdot)\) n/a 10032 12
7105.2.hd \(\chi_{7105}(167, \cdot)\) n/a 10032 12
7105.2.he \(\chi_{7105}(1028, \cdot)\) n/a 7104 12
7105.2.hf \(\chi_{7105}(237, \cdot)\) n/a 10032 12
7105.2.hh \(\chi_{7105}(706, \cdot)\) n/a 6720 12
7105.2.hi \(\chi_{7105}(524, \cdot)\) n/a 10032 12
7105.2.hl \(\chi_{7105}(897, \cdot)\) n/a 10032 12
7105.2.hm \(\chi_{7105}(302, \cdot)\) n/a 10032 12
7105.2.hn \(\chi_{7105}(43, \cdot)\) n/a 10032 12
7105.2.ho \(\chi_{7105}(2367, \cdot)\) n/a 10032 12
7105.2.hp \(\chi_{7105}(253, \cdot)\) n/a 10032 12
7105.2.hq \(\chi_{7105}(148, \cdot)\) n/a 7260 12
7105.2.hx \(\chi_{7105}(1058, \cdot)\) n/a 10032 12
7105.2.hz \(\chi_{7105}(113, \cdot)\) n/a 10032 12
7105.2.ic \(\chi_{7105}(149, \cdot)\) n/a 10032 12
7105.2.if \(\chi_{7105}(151, \cdot)\) n/a 6720 12
7105.2.ig \(\chi_{7105}(506, \cdot)\) n/a 6720 12
7105.2.ih \(\chi_{7105}(51, \cdot)\) n/a 6720 12
7105.2.ii \(\chi_{7105}(86, \cdot)\) n/a 6720 12
7105.2.ij \(\chi_{7105}(361, \cdot)\) n/a 4800 12
7105.2.ik \(\chi_{7105}(284, \cdot)\) n/a 10032 12
7105.2.il \(\chi_{7105}(674, \cdot)\) n/a 10032 12
7105.2.im \(\chi_{7105}(74, \cdot)\) n/a 10032 12
7105.2.in \(\chi_{7105}(494, \cdot)\) n/a 9408 12
7105.2.io \(\chi_{7105}(459, \cdot)\) n/a 7104 12
7105.2.ip \(\chi_{7105}(296, \cdot)\) n/a 6720 12
7105.2.iq \(\chi_{7105}(774, \cdot)\) n/a 10032 12
7105.2.jd \(\chi_{7105}(429, \cdot)\) n/a 10032 12
7105.2.je \(\chi_{7105}(121, \cdot)\) n/a 6720 12
7105.2.jf \(\chi_{7105}(9, \cdot)\) n/a 10032 12
7105.2.js \(\chi_{7105}(324, \cdot)\) n/a 7104 12
7105.2.jt \(\chi_{7105}(144, \cdot)\) n/a 10032 12
7105.2.ju \(\chi_{7105}(109, \cdot)\) n/a 10032 12
7105.2.jv \(\chi_{7105}(4, \cdot)\) n/a 10032 12
7105.2.jw \(\chi_{7105}(179, \cdot)\) n/a 10032 12
7105.2.jx \(\chi_{7105}(354, \cdot)\) n/a 10032 12
7105.2.ka \(\chi_{7105}(821, \cdot)\) n/a 6720 12
7105.2.kb \(\chi_{7105}(219, \cdot)\) n/a 10032 12
7105.2.ke \(\chi_{7105}(282, \cdot)\) n/a 20064 24
7105.2.kg \(\chi_{7105}(142, \cdot)\) n/a 20064 24
7105.2.kn \(\chi_{7105}(172, \cdot)\) n/a 20064 24
7105.2.ko \(\chi_{7105}(263, \cdot)\) n/a 14208 24
7105.2.kp \(\chi_{7105}(627, \cdot)\) n/a 20064 24
7105.2.kq \(\chi_{7105}(102, \cdot)\) n/a 20064 24
7105.2.kr \(\chi_{7105}(333, \cdot)\) n/a 20064 24
7105.2.ks \(\chi_{7105}(592, \cdot)\) n/a 20064 24
7105.2.ku \(\chi_{7105}(528, \cdot)\) n/a 20064 24
7105.2.kx \(\chi_{7105}(103, \cdot)\) n/a 20064 24
7105.2.ld \(\chi_{7105}(131, \cdot)\) n/a 13440 24
7105.2.le \(\chi_{7105}(206, \cdot)\) n/a 13440 24
7105.2.lf \(\chi_{7105}(31, \cdot)\) n/a 9600 24
7105.2.lg \(\chi_{7105}(481, \cdot)\) n/a 13440 24
7105.2.lh \(\chi_{7105}(61, \cdot)\) n/a 13440 24
7105.2.li \(\chi_{7105}(234, \cdot)\) n/a 20064 24
7105.2.lj \(\chi_{7105}(684, \cdot)\) n/a 20064 24
7105.2.lk \(\chi_{7105}(19, \cdot)\) n/a 14208 24
7105.2.ll \(\chi_{7105}(229, \cdot)\) n/a 20064 24
7105.2.lm \(\chi_{7105}(124, \cdot)\) n/a 20064 24
7105.2.lt \(\chi_{7105}(159, \cdot)\) n/a 20064 24
7105.2.lu \(\chi_{7105}(1291, \cdot)\) n/a 13440 24
7105.2.lw \(\chi_{7105}(283, \cdot)\) n/a 20064 24
7105.2.lx \(\chi_{7105}(122, \cdot)\) n/a 20064 24
7105.2.ly \(\chi_{7105}(38, \cdot)\) n/a 20064 24
7105.2.lz \(\chi_{7105}(178, \cdot)\) n/a 14208 24
7105.2.ma \(\chi_{7105}(173, \cdot)\) n/a 20064 24
7105.2.ml \(\chi_{7105}(262, \cdot)\) n/a 18816 24
7105.2.mm \(\chi_{7105}(808, \cdot)\) n/a 20064 24
7105.2.mn \(\chi_{7105}(227, \cdot)\) n/a 14208 24
7105.2.mo \(\chi_{7105}(857, \cdot)\) n/a 20064 24
7105.2.mp \(\chi_{7105}(397, \cdot)\) n/a 20064 24
7105.2.mq \(\chi_{7105}(152, \cdot)\) n/a 20064 24
7105.2.mt \(\chi_{7105}(33, \cdot)\) n/a 20064 24
7105.2.mv \(\chi_{7105}(26, \cdot)\) n/a 13440 24
7105.2.mw \(\chi_{7105}(89, \cdot)\) n/a 20064 24
7105.2.mz \(\chi_{7105}(66, \cdot)\) n/a 13440 24
7105.2.na \(\chi_{7105}(549, \cdot)\) n/a 20064 24
7105.2.nc \(\chi_{7105}(138, \cdot)\) n/a 20064 24
7105.2.nf \(\chi_{7105}(52, \cdot)\) n/a 20064 24
7105.2.nh \(\chi_{7105}(137, \cdot)\) n/a 20064 24
7105.2.ni \(\chi_{7105}(452, \cdot)\) n/a 20064 24
7105.2.nj \(\chi_{7105}(72, \cdot)\) n/a 20064 24
7105.2.nk \(\chi_{7105}(2, \cdot)\) n/a 20064 24
7105.2.nl \(\chi_{7105}(298, \cdot)\) n/a 20064 24
7105.2.nm \(\chi_{7105}(18, \cdot)\) n/a 14208 24
7105.2.nt \(\chi_{7105}(947, \cdot)\) n/a 20064 24
7105.2.nv \(\chi_{7105}(37, \cdot)\) n/a 20064 24

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(7105))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(7105)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(1))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(5))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(7))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(29))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(35))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(49))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(145))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(203))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(245))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1015))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1421))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(7105))\)\(^{\oplus 1}\)