Properties

Label 5808.2
Level 5808
Weight 2
Dimension 384323
Nonzero newspaces 32
Sturm bound 3717120

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Defining parameters

Level: \( N \) = \( 5808 = 2^{4} \cdot 3 \cdot 11^{2} \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 32 \)
Sturm bound: \(3717120\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(5808))\).

Total New Old
Modular forms 938240 386851 551389
Cusp forms 920321 384323 535998
Eisenstein series 17919 2528 15391

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(5808))\)

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
5808.2.a \(\chi_{5808}(1, \cdot)\) 5808.2.a.a 1 1
5808.2.a.b 1
5808.2.a.c 1
5808.2.a.d 1
5808.2.a.e 1
5808.2.a.f 1
5808.2.a.g 1
5808.2.a.h 1
5808.2.a.i 1
5808.2.a.j 1
5808.2.a.k 1
5808.2.a.l 1
5808.2.a.m 1
5808.2.a.n 1
5808.2.a.o 1
5808.2.a.p 1
5808.2.a.q 1
5808.2.a.r 1
5808.2.a.s 1
5808.2.a.t 1
5808.2.a.u 1
5808.2.a.v 1
5808.2.a.w 1
5808.2.a.x 1
5808.2.a.y 1
5808.2.a.z 1
5808.2.a.ba 1
5808.2.a.bb 1
5808.2.a.bc 1
5808.2.a.bd 1
5808.2.a.be 1
5808.2.a.bf 1
5808.2.a.bg 1
5808.2.a.bh 1
5808.2.a.bi 1
5808.2.a.bj 2
5808.2.a.bk 2
5808.2.a.bl 2
5808.2.a.bm 2
5808.2.a.bn 2
5808.2.a.bo 2
5808.2.a.bp 2
5808.2.a.bq 2
5808.2.a.br 2
5808.2.a.bs 2
5808.2.a.bt 2
5808.2.a.bu 2
5808.2.a.bv 2
5808.2.a.bw 2
5808.2.a.bx 2
5808.2.a.by 2
5808.2.a.bz 2
5808.2.a.ca 2
5808.2.a.cb 2
5808.2.a.cc 2
5808.2.a.cd 2
5808.2.a.ce 2
5808.2.a.cf 2
5808.2.a.cg 2
5808.2.a.ch 2
5808.2.a.ci 2
5808.2.a.cj 2
5808.2.a.ck 4
5808.2.a.cl 4
5808.2.a.cm 4
5808.2.a.cn 4
5808.2.a.co 4
5808.2.b \(\chi_{5808}(2177, \cdot)\) n/a 208 1
5808.2.d \(\chi_{5808}(5567, \cdot)\) n/a 218 1
5808.2.f \(\chi_{5808}(2905, \cdot)\) None 0 1
5808.2.h \(\chi_{5808}(967, \cdot)\) None 0 1
5808.2.k \(\chi_{5808}(2663, \cdot)\) None 0 1
5808.2.m \(\chi_{5808}(5081, \cdot)\) None 0 1
5808.2.o \(\chi_{5808}(3871, \cdot)\) n/a 108 1
5808.2.q \(\chi_{5808}(2419, \cdot)\) n/a 864 2
5808.2.t \(\chi_{5808}(1453, \cdot)\) n/a 872 2
5808.2.u \(\chi_{5808}(1211, \cdot)\) n/a 1708 2
5808.2.x \(\chi_{5808}(725, \cdot)\) n/a 1696 2
5808.2.y \(\chi_{5808}(2017, \cdot)\) n/a 432 4
5808.2.ba \(\chi_{5808}(1183, \cdot)\) n/a 432 4
5808.2.bc \(\chi_{5808}(233, \cdot)\) None 0 4
5808.2.be \(\chi_{5808}(1703, \cdot)\) None 0 4
5808.2.bh \(\chi_{5808}(1207, \cdot)\) None 0 4
5808.2.bj \(\chi_{5808}(1945, \cdot)\) None 0 4
5808.2.bl \(\chi_{5808}(1775, \cdot)\) n/a 864 4
5808.2.bn \(\chi_{5808}(161, \cdot)\) n/a 832 4
5808.2.bo \(\chi_{5808}(529, \cdot)\) n/a 1320 10
5808.2.bp \(\chi_{5808}(941, \cdot)\) n/a 6784 8
5808.2.bs \(\chi_{5808}(251, \cdot)\) n/a 6784 8
5808.2.bt \(\chi_{5808}(493, \cdot)\) n/a 3456 8
5808.2.bw \(\chi_{5808}(403, \cdot)\) n/a 3456 8
5808.2.by \(\chi_{5808}(175, \cdot)\) n/a 1320 10
5808.2.ca \(\chi_{5808}(329, \cdot)\) None 0 10
5808.2.cc \(\chi_{5808}(23, \cdot)\) None 0 10
5808.2.cf \(\chi_{5808}(439, \cdot)\) None 0 10
5808.2.ch \(\chi_{5808}(265, \cdot)\) None 0 10
5808.2.cj \(\chi_{5808}(287, \cdot)\) n/a 2640 10
5808.2.cl \(\chi_{5808}(65, \cdot)\) n/a 2620 10
5808.2.cm \(\chi_{5808}(197, \cdot)\) n/a 21040 20
5808.2.cp \(\chi_{5808}(155, \cdot)\) n/a 21040 20
5808.2.cq \(\chi_{5808}(133, \cdot)\) n/a 10560 20
5808.2.ct \(\chi_{5808}(43, \cdot)\) n/a 10560 20
5808.2.cu \(\chi_{5808}(49, \cdot)\) n/a 5280 40
5808.2.cv \(\chi_{5808}(17, \cdot)\) n/a 10480 40
5808.2.cx \(\chi_{5808}(47, \cdot)\) n/a 10560 40
5808.2.cz \(\chi_{5808}(25, \cdot)\) None 0 40
5808.2.db \(\chi_{5808}(7, \cdot)\) None 0 40
5808.2.de \(\chi_{5808}(71, \cdot)\) None 0 40
5808.2.dg \(\chi_{5808}(41, \cdot)\) None 0 40
5808.2.di \(\chi_{5808}(79, \cdot)\) n/a 5280 40
5808.2.dk \(\chi_{5808}(19, \cdot)\) n/a 42240 80
5808.2.dn \(\chi_{5808}(37, \cdot)\) n/a 42240 80
5808.2.do \(\chi_{5808}(59, \cdot)\) n/a 84160 80
5808.2.dr \(\chi_{5808}(29, \cdot)\) n/a 84160 80

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(5808))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(5808)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(11))\)\(^{\oplus 20}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(16))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(22))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(24))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(33))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(44))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(48))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(66))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(88))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(121))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(132))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(176))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(242))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(264))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(363))\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(484))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(528))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(726))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(968))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1452))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1936))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2904))\)\(^{\oplus 2}\)