Properties

Label 4235.2
Level 4235
Weight 2
Dimension 597964
Nonzero newspaces 48
Sturm bound 2787840

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Defining parameters

Level: \( N \) = \( 4235 = 5 \cdot 7 \cdot 11^{2} \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 48 \)
Sturm bound: \(2787840\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(4235))\).

Total New Old
Modular forms 704640 606396 98244
Cusp forms 689281 597964 91317
Eisenstein series 15359 8432 6927

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(4235))\)

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
4235.2.a \(\chi_{4235}(1, \cdot)\) 4235.2.a.a 1 1
4235.2.a.b 1
4235.2.a.c 1
4235.2.a.d 1
4235.2.a.e 1
4235.2.a.f 1
4235.2.a.g 1
4235.2.a.h 2
4235.2.a.i 2
4235.2.a.j 2
4235.2.a.k 2
4235.2.a.l 2
4235.2.a.m 2
4235.2.a.n 2
4235.2.a.o 3
4235.2.a.p 3
4235.2.a.q 3
4235.2.a.r 4
4235.2.a.s 4
4235.2.a.t 4
4235.2.a.u 4
4235.2.a.v 4
4235.2.a.w 4
4235.2.a.x 4
4235.2.a.y 5
4235.2.a.z 5
4235.2.a.ba 5
4235.2.a.bb 5
4235.2.a.bc 5
4235.2.a.bd 5
4235.2.a.be 5
4235.2.a.bf 5
4235.2.a.bg 8
4235.2.a.bh 8
4235.2.a.bi 10
4235.2.a.bj 10
4235.2.a.bk 10
4235.2.a.bl 10
4235.2.a.bm 14
4235.2.a.bn 14
4235.2.a.bo 18
4235.2.a.bp 18
4235.2.b \(\chi_{4235}(3389, \cdot)\) n/a 326 1
4235.2.c \(\chi_{4235}(846, \cdot)\) n/a 288 1
4235.2.h \(\chi_{4235}(4234, \cdot)\) n/a 416 1
4235.2.i \(\chi_{4235}(606, \cdot)\) n/a 580 2
4235.2.j \(\chi_{4235}(727, \cdot)\) n/a 836 2
4235.2.k \(\chi_{4235}(967, \cdot)\) n/a 648 2
4235.2.n \(\chi_{4235}(1576, \cdot)\) n/a 864 4
4235.2.o \(\chi_{4235}(1209, \cdot)\) n/a 832 2
4235.2.t \(\chi_{4235}(2179, \cdot)\) n/a 836 2
4235.2.u \(\chi_{4235}(241, \cdot)\) n/a 576 2
4235.2.v \(\chi_{4235}(524, \cdot)\) n/a 1664 4
4235.2.ba \(\chi_{4235}(1371, \cdot)\) n/a 1152 4
4235.2.bb \(\chi_{4235}(729, \cdot)\) n/a 1296 4
4235.2.bc \(\chi_{4235}(386, \cdot)\) n/a 2640 10
4235.2.bd \(\chi_{4235}(1572, \cdot)\) n/a 1664 4
4235.2.be \(\chi_{4235}(122, \cdot)\) n/a 1672 4
4235.2.bh \(\chi_{4235}(81, \cdot)\) n/a 2304 8
4235.2.bk \(\chi_{4235}(1443, \cdot)\) n/a 2592 8
4235.2.bl \(\chi_{4235}(27, \cdot)\) n/a 3328 8
4235.2.bo \(\chi_{4235}(384, \cdot)\) n/a 5240 10
4235.2.bp \(\chi_{4235}(76, \cdot)\) n/a 3520 10
4235.2.bq \(\chi_{4235}(309, \cdot)\) n/a 3960 10
4235.2.bt \(\chi_{4235}(481, \cdot)\) n/a 2304 8
4235.2.bu \(\chi_{4235}(9, \cdot)\) n/a 3328 8
4235.2.bz \(\chi_{4235}(94, \cdot)\) n/a 3328 8
4235.2.ca \(\chi_{4235}(221, \cdot)\) n/a 7040 20
4235.2.cd \(\chi_{4235}(43, \cdot)\) n/a 7920 20
4235.2.ce \(\chi_{4235}(188, \cdot)\) n/a 10480 20
4235.2.cf \(\chi_{4235}(36, \cdot)\) n/a 10560 40
4235.2.ci \(\chi_{4235}(3, \cdot)\) n/a 6656 16
4235.2.cj \(\chi_{4235}(233, \cdot)\) n/a 6656 16
4235.2.cm \(\chi_{4235}(131, \cdot)\) n/a 7040 20
4235.2.cn \(\chi_{4235}(144, \cdot)\) n/a 10480 20
4235.2.co \(\chi_{4235}(54, \cdot)\) n/a 10480 20
4235.2.ct \(\chi_{4235}(64, \cdot)\) n/a 15840 40
4235.2.cu \(\chi_{4235}(6, \cdot)\) n/a 14080 40
4235.2.cv \(\chi_{4235}(139, \cdot)\) n/a 20960 40
4235.2.da \(\chi_{4235}(12, \cdot)\) n/a 20960 40
4235.2.db \(\chi_{4235}(32, \cdot)\) n/a 20960 40
4235.2.dc \(\chi_{4235}(16, \cdot)\) n/a 28160 80
4235.2.dd \(\chi_{4235}(48, \cdot)\) n/a 41920 80
4235.2.de \(\chi_{4235}(8, \cdot)\) n/a 31680 80
4235.2.dj \(\chi_{4235}(19, \cdot)\) n/a 41920 80
4235.2.dk \(\chi_{4235}(4, \cdot)\) n/a 41920 80
4235.2.dl \(\chi_{4235}(61, \cdot)\) n/a 28160 80
4235.2.do \(\chi_{4235}(2, \cdot)\) n/a 83840 160
4235.2.dp \(\chi_{4235}(38, \cdot)\) n/a 83840 160

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(4235))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(4235)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(11))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(35))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(55))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(77))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(121))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(385))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(605))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(847))\)\(^{\oplus 2}\)