Properties

Label 6017.2
Level 6017
Weight 2
Dimension 1466189
Nonzero newspaces 32
Sturm bound 5984160

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Defining parameters

Level: \( N \) = \( 6017 = 11 \cdot 547 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 32 \)
Sturm bound: \(5984160\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(6017))\).

Total New Old
Modular forms 1501500 1476001 25499
Cusp forms 1490581 1466189 24392
Eisenstein series 10919 9812 1107

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(6017))\)

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
6017.2.a \(\chi_{6017}(1, \cdot)\) 6017.2.a.a 1 1
6017.2.a.b 1
6017.2.a.c 106
6017.2.a.d 107
6017.2.a.e 119
6017.2.a.f 121
6017.2.d \(\chi_{6017}(6016, \cdot)\) n/a 546 1
6017.2.e \(\chi_{6017}(1134, \cdot)\) n/a 912 2
6017.2.f \(\chi_{6017}(548, \cdot)\) n/a 2184 4
6017.2.g \(\chi_{6017}(1682, \cdot)\) n/a 1092 2
6017.2.j \(\chi_{6017}(628, \cdot)\) n/a 2748 6
6017.2.k \(\chi_{6017}(546, \cdot)\) n/a 2184 4
6017.2.n \(\chi_{6017}(353, \cdot)\) n/a 5496 12
6017.2.o \(\chi_{6017}(538, \cdot)\) n/a 3276 6
6017.2.r \(\chi_{6017}(587, \cdot)\) n/a 4368 8
6017.2.s \(\chi_{6017}(716, \cdot)\) n/a 5472 12
6017.2.t \(\chi_{6017}(197, \cdot)\) n/a 6552 12
6017.2.y \(\chi_{6017}(41, \cdot)\) n/a 4368 8
6017.2.z \(\chi_{6017}(9, \cdot)\) n/a 13104 24
6017.2.ba \(\chi_{6017}(199, \cdot)\) n/a 10944 24
6017.2.bd \(\chi_{6017}(120, \cdot)\) n/a 6552 12
6017.2.be \(\chi_{6017}(350, \cdot)\) n/a 26208 48
6017.2.bh \(\chi_{6017}(365, \cdot)\) n/a 13104 24
6017.2.bk \(\chi_{6017}(692, \cdot)\) n/a 13104 24
6017.2.bl \(\chi_{6017}(100, \cdot)\) n/a 32976 72
6017.2.bm \(\chi_{6017}(14, \cdot)\) n/a 26208 48
6017.2.bp \(\chi_{6017}(28, \cdot)\) n/a 26208 48
6017.2.bs \(\chi_{6017}(65, \cdot)\) n/a 39312 72
6017.2.bt \(\chi_{6017}(47, \cdot)\) n/a 52416 96
6017.2.bu \(\chi_{6017}(39, \cdot)\) n/a 26208 48
6017.2.bx \(\chi_{6017}(34, \cdot)\) n/a 65664 144
6017.2.by \(\chi_{6017}(83, \cdot)\) n/a 52416 96
6017.2.cb \(\chi_{6017}(64, \cdot)\) n/a 157248 288
6017.2.cc \(\chi_{6017}(32, \cdot)\) n/a 78624 144
6017.2.cf \(\chi_{6017}(8, \cdot)\) n/a 157248 288
6017.2.ci \(\chi_{6017}(4, \cdot)\) n/a 314496 576
6017.2.cl \(\chi_{6017}(2, \cdot)\) n/a 314496 576

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(6017))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(6017)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(11))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(547))\)\(^{\oplus 2}\)