Properties

Label 6014.2
Level 6014
Weight 2
Dimension 375459
Nonzero newspaces 60
Sturm bound 4515840

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Defining parameters

Level: \( N \) = \( 6014 = 2 \cdot 31 \cdot 97 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 60 \)
Sturm bound: \(4515840\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(6014))\).

Total New Old
Modular forms 1134720 375459 759261
Cusp forms 1123201 375459 747742
Eisenstein series 11519 0 11519

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(6014))\)

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
6014.2.a \(\chi_{6014}(1, \cdot)\) 6014.2.a.a 1 1
6014.2.a.b 1
6014.2.a.c 2
6014.2.a.d 5
6014.2.a.e 21
6014.2.a.f 22
6014.2.a.g 26
6014.2.a.h 26
6014.2.a.i 28
6014.2.a.j 32
6014.2.a.k 37
6014.2.a.l 38
6014.2.d \(\chi_{6014}(1551, \cdot)\) n/a 244 1
6014.2.e \(\chi_{6014}(1613, \cdot)\) n/a 488 2
6014.2.f \(\chi_{6014}(583, \cdot)\) n/a 512 2
6014.2.g \(\chi_{6014}(4303, \cdot)\) n/a 524 2
6014.2.h \(\chi_{6014}(811, \cdot)\) n/a 524 2
6014.2.i \(\chi_{6014}(2791, \cdot)\) n/a 488 2
6014.2.k \(\chi_{6014}(777, \cdot)\) n/a 1024 4
6014.2.n \(\chi_{6014}(3043, \cdot)\) n/a 524 2
6014.2.o \(\chi_{6014}(2133, \cdot)\) n/a 520 2
6014.2.p \(\chi_{6014}(3845, \cdot)\) n/a 488 2
6014.2.w \(\chi_{6014}(521, \cdot)\) n/a 524 2
6014.2.x \(\chi_{6014}(435, \cdot)\) n/a 976 4
6014.2.z \(\chi_{6014}(969, \cdot)\) n/a 1056 4
6014.2.bc \(\chi_{6014}(2237, \cdot)\) n/a 1048 4
6014.2.bg \(\chi_{6014}(501, \cdot)\) n/a 1048 4
6014.2.bh \(\chi_{6014}(2419, \cdot)\) n/a 976 4
6014.2.bi \(\chi_{6014}(1865, \cdot)\) n/a 1040 4
6014.2.bk \(\chi_{6014}(255, \cdot)\) n/a 2096 8
6014.2.bl \(\chi_{6014}(195, \cdot)\) n/a 2048 8
6014.2.bm \(\chi_{6014}(35, \cdot)\) n/a 2080 8
6014.2.bn \(\chi_{6014}(617, \cdot)\) n/a 2096 8
6014.2.bp \(\chi_{6014}(497, \cdot)\) n/a 1968 8
6014.2.br \(\chi_{6014}(1089, \cdot)\) n/a 2112 8
6014.2.bs \(\chi_{6014}(2919, \cdot)\) n/a 2096 8
6014.2.bw \(\chi_{6014}(315, \cdot)\) n/a 2096 8
6014.2.bx \(\chi_{6014}(683, \cdot)\) n/a 1952 8
6014.2.bz \(\chi_{6014}(1017, \cdot)\) n/a 2080 8
6014.2.ca \(\chi_{6014}(547, \cdot)\) n/a 2096 8
6014.2.ch \(\chi_{6014}(133, \cdot)\) n/a 2096 8
6014.2.ci \(\chi_{6014}(159, \cdot)\) n/a 2080 8
6014.2.cj \(\chi_{6014}(193, \cdot)\) n/a 2080 8
6014.2.cm \(\chi_{6014}(433, \cdot)\) n/a 4224 16
6014.2.cp \(\chi_{6014}(33, \cdot)\) n/a 4224 16
6014.2.cq \(\chi_{6014}(745, \cdot)\) n/a 3936 16
6014.2.cr \(\chi_{6014}(129, \cdot)\) n/a 4192 16
6014.2.cs \(\chi_{6014}(25, \cdot)\) n/a 4192 16
6014.2.cx \(\chi_{6014}(273, \cdot)\) n/a 4160 16
6014.2.cz \(\chi_{6014}(113, \cdot)\) n/a 4192 16
6014.2.da \(\chi_{6014}(701, \cdot)\) n/a 4160 16
6014.2.db \(\chi_{6014}(469, \cdot)\) n/a 4160 16
6014.2.df \(\chi_{6014}(81, \cdot)\) n/a 4192 16
6014.2.dh \(\chi_{6014}(109, \cdot)\) n/a 8448 32
6014.2.dl \(\chi_{6014}(57, \cdot)\) n/a 8384 32
6014.2.dm \(\chi_{6014}(123, \cdot)\) n/a 8320 32
6014.2.dn \(\chi_{6014}(37, \cdot)\) n/a 8384 32
6014.2.do \(\chi_{6014}(843, \cdot)\) n/a 8320 32
6014.2.dq \(\chi_{6014}(227, \cdot)\) n/a 8320 32
6014.2.ds \(\chi_{6014}(101, \cdot)\) n/a 8320 32
6014.2.dt \(\chi_{6014}(237, \cdot)\) n/a 8384 32
6014.2.dx \(\chi_{6014}(9, \cdot)\) n/a 8384 32
6014.2.dy \(\chi_{6014}(77, \cdot)\) n/a 16896 64
6014.2.eb \(\chi_{6014}(299, \cdot)\) n/a 16640 64
6014.2.ec \(\chi_{6014}(169, \cdot)\) n/a 16768 64
6014.2.ed \(\chi_{6014}(49, \cdot)\) n/a 16768 64
6014.2.ee \(\chi_{6014}(95, \cdot)\) n/a 16640 64
6014.2.ei \(\chi_{6014}(55, \cdot)\) n/a 33280 128
6014.2.en \(\chi_{6014}(21, \cdot)\) n/a 33536 128
6014.2.eo \(\chi_{6014}(15, \cdot)\) n/a 33280 128
6014.2.ep \(\chi_{6014}(13, \cdot)\) n/a 33536 128

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(6014))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(6014)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(31))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(62))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(97))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(194))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(3007))\)\(^{\oplus 2}\)