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Properties

Label 7018.2
Level 7018
Weight 2
Dimension 498643
Nonzero newspaces 24
Sturm bound 6098400

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Defining parameters

Level: \( N \) = \( 7018 = 2 \cdot 11^{2} \cdot 29 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 24 \)
Sturm bound: \(6098400\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(7018))\).

Total New Old
Modular forms 1533560 498643 1034917
Cusp forms 1515641 498643 1016998
Eisenstein series 17919 0 17919

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(7018))\)

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
7018.2.a \(\chi_{7018}(1, \cdot)\) 7018.2.a.a 1 1
7018.2.a.b 1
7018.2.a.c 1
7018.2.a.d 1
7018.2.a.e 2
7018.2.a.f 2
7018.2.a.g 2
7018.2.a.h 2
7018.2.a.i 2
7018.2.a.j 2
7018.2.a.k 2
7018.2.a.l 2
7018.2.a.m 2
7018.2.a.n 2
7018.2.a.o 2
7018.2.a.p 2
7018.2.a.q 3
7018.2.a.r 3
7018.2.a.s 3
7018.2.a.t 3
7018.2.a.u 4
7018.2.a.v 4
7018.2.a.w 4
7018.2.a.x 4
7018.2.a.y 4
7018.2.a.z 5
7018.2.a.ba 6
7018.2.a.bb 6
7018.2.a.bc 6
7018.2.a.bd 6
7018.2.a.be 6
7018.2.a.bf 6
7018.2.a.bg 6
7018.2.a.bh 6
7018.2.a.bi 6
7018.2.a.bj 6
7018.2.a.bk 8
7018.2.a.bl 8
7018.2.a.bm 10
7018.2.a.bn 10
7018.2.a.bo 12
7018.2.a.bp 12
7018.2.a.bq 16
7018.2.a.br 16
7018.2.a.bs 18
7018.2.a.bt 18
7018.2.c \(\chi_{7018}(5567, \cdot)\) n/a 272 1
7018.2.e \(\chi_{7018}(2419, \cdot)\) n/a 540 2
7018.2.g \(\chi_{7018}(1219, \cdot)\) n/a 1008 4
7018.2.h \(\chi_{7018}(1937, \cdot)\) n/a 1638 6
7018.2.j \(\chi_{7018}(753, \cdot)\) n/a 1080 4
7018.2.l \(\chi_{7018}(639, \cdot)\) n/a 3080 10
7018.2.n \(\chi_{7018}(1211, \cdot)\) n/a 1632 6
7018.2.q \(\chi_{7018}(215, \cdot)\) n/a 2160 8
7018.2.r \(\chi_{7018}(463, \cdot)\) n/a 3300 10
7018.2.v \(\chi_{7018}(483, \cdot)\) n/a 3240 12
7018.2.w \(\chi_{7018}(81, \cdot)\) n/a 6480 24
7018.2.y \(\chi_{7018}(307, \cdot)\) n/a 6600 20
7018.2.z \(\chi_{7018}(59, \cdot)\) n/a 12320 40
7018.2.bb \(\chi_{7018}(9, \cdot)\) n/a 6480 24
7018.2.bd \(\chi_{7018}(23, \cdot)\) n/a 19800 60
7018.2.bg \(\chi_{7018}(115, \cdot)\) n/a 13200 40
7018.2.bh \(\chi_{7018}(403, \cdot)\) n/a 12960 48
7018.2.bl \(\chi_{7018}(67, \cdot)\) n/a 19800 60
7018.2.bm \(\chi_{7018}(17, \cdot)\) n/a 26400 80
7018.2.bo \(\chi_{7018}(21, \cdot)\) n/a 39600 120
7018.2.bq \(\chi_{7018}(25, \cdot)\) n/a 79200 240
7018.2.br \(\chi_{7018}(5, \cdot)\) n/a 79200 240
7018.2.bv \(\chi_{7018}(19, \cdot)\) n/a 158400 480

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(7018))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(7018)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(11))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(22))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(29))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(58))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(121))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(242))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(319))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(638))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(3509))\)\(^{\oplus 2}\)