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Properties

Label 2583.1
Level 2583
Weight 1
Dimension 34
Nonzero newspaces 2
Newform subspaces 6
Sturm bound 483840
Trace bound 1

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Defining parameters

Level: \( N \) = \( 2583 = 3^{2} \cdot 7 \cdot 41 \)
Weight: \( k \) = \( 1 \)
Nonzero newspaces: \( 2 \)
Newform subspaces: \( 6 \)
Sturm bound: \(483840\)
Trace bound: \(1\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(2583))\).

Total New Old
Modular forms 3894 1788 2106
Cusp forms 54 34 20
Eisenstein series 3840 1754 2086

The following table gives the dimensions of subspaces with specified projective image type.

\(D_n\) \(A_4\) \(S_4\) \(A_5\)
Dimension 34 0 0 0

Trace form

\( 34 q + 2 q^{2} - 10 q^{4} + 4 q^{8} + O(q^{10}) \) \( 34 q + 2 q^{2} - 10 q^{4} + 4 q^{8} - 12 q^{16} + 2 q^{23} - 8 q^{25} + 6 q^{32} - 2 q^{37} - 2 q^{43} - 4 q^{46} - 8 q^{49} + 2 q^{50} + 28 q^{64} + 28 q^{72} + 4 q^{74} - 14 q^{78} - 14 q^{84} + 4 q^{86} - 2 q^{91} - 36 q^{92} + 2 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{1}^{\mathrm{new}}(\Gamma_1(2583))\)

We only show spaces with odd 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
2583.1.b \(\chi_{2583}(575, \cdot)\) None 0 1
2583.1.c \(\chi_{2583}(2213, \cdot)\) None 0 1
2583.1.f \(\chi_{2583}(2008, \cdot)\) 2583.1.f.a 3 1
2583.1.f.b 3
2583.1.g \(\chi_{2583}(370, \cdot)\) None 0 1
2583.1.n \(\chi_{2583}(811, \cdot)\) None 0 2
2583.1.p \(\chi_{2583}(1016, \cdot)\) None 0 2
2583.1.t \(\chi_{2583}(1598, \cdot)\) None 0 2
2583.1.u \(\chi_{2583}(452, \cdot)\) None 0 2
2583.1.v \(\chi_{2583}(409, \cdot)\) None 0 2
2583.1.w \(\chi_{2583}(124, \cdot)\) None 0 2
2583.1.z \(\chi_{2583}(1231, \cdot)\) None 0 2
2583.1.ba \(\chi_{2583}(286, \cdot)\) 2583.1.ba.a 2 2
2583.1.ba.b 2
2583.1.ba.c 12
2583.1.ba.d 12
2583.1.bb \(\chi_{2583}(1846, \cdot)\) None 0 2
2583.1.bc \(\chi_{2583}(901, \cdot)\) None 0 2
2583.1.be \(\chi_{2583}(821, \cdot)\) None 0 2
2583.1.bf \(\chi_{2583}(1229, \cdot)\) None 0 2
2583.1.bk \(\chi_{2583}(368, \cdot)\) None 0 2
2583.1.bl \(\chi_{2583}(1313, \cdot)\) None 0 2
2583.1.bm \(\chi_{2583}(491, \cdot)\) None 0 2
2583.1.bn \(\chi_{2583}(1436, \cdot)\) None 0 2
2583.1.br \(\chi_{2583}(493, \cdot)\) None 0 2
2583.1.bs \(\chi_{2583}(40, \cdot)\) None 0 2
2583.1.bu \(\chi_{2583}(314, \cdot)\) None 0 4
2583.1.bv \(\chi_{2583}(694, \cdot)\) None 0 4
2583.1.by \(\chi_{2583}(748, \cdot)\) None 0 4
2583.1.bz \(\chi_{2583}(433, \cdot)\) None 0 4
2583.1.cc \(\chi_{2583}(638, \cdot)\) None 0 4
2583.1.cd \(\chi_{2583}(953, \cdot)\) None 0 4
2583.1.ce \(\chi_{2583}(934, \cdot)\) None 0 4
2583.1.ch \(\chi_{2583}(296, \cdot)\) None 0 4
2583.1.ci \(\chi_{2583}(50, \cdot)\) None 0 4
2583.1.cl \(\chi_{2583}(32, \cdot)\) None 0 4
2583.1.cn \(\chi_{2583}(706, \cdot)\) None 0 4
2583.1.co \(\chi_{2583}(73, \cdot)\) None 0 4
2583.1.cr \(\chi_{2583}(565, \cdot)\) None 0 4
2583.1.cs \(\chi_{2583}(401, \cdot)\) None 0 4
2583.1.cy \(\chi_{2583}(8, \cdot)\) None 0 8
2583.1.da \(\chi_{2583}(118, \cdot)\) None 0 8
2583.1.dd \(\chi_{2583}(940, \cdot)\) None 0 8
2583.1.de \(\chi_{2583}(38, \cdot)\) None 0 8
2583.1.dg \(\chi_{2583}(167, \cdot)\) None 0 8
2583.1.di \(\chi_{2583}(79, \cdot)\) None 0 8
2583.1.dk \(\chi_{2583}(109, \cdot)\) None 0 8
2583.1.dn \(\chi_{2583}(530, \cdot)\) None 0 8
2583.1.dp \(\chi_{2583}(437, \cdot)\) None 0 8
2583.1.dr \(\chi_{2583}(85, \cdot)\) None 0 8
2583.1.ds \(\chi_{2583}(556, \cdot)\) None 0 8
2583.1.dt \(\chi_{2583}(871, \cdot)\) None 0 8
2583.1.dx \(\chi_{2583}(92, \cdot)\) None 0 8
2583.1.dy \(\chi_{2583}(113, \cdot)\) None 0 8
2583.1.dz \(\chi_{2583}(242, \cdot)\) None 0 8
2583.1.ea \(\chi_{2583}(107, \cdot)\) None 0 8
2583.1.ef \(\chi_{2583}(599, \cdot)\) None 0 8
2583.1.eg \(\chi_{2583}(221, \cdot)\) None 0 8
2583.1.ei \(\chi_{2583}(271, \cdot)\) None 0 8
2583.1.ej \(\chi_{2583}(10, \cdot)\) None 0 8
2583.1.ek \(\chi_{2583}(517, \cdot)\) None 0 8
2583.1.el \(\chi_{2583}(139, \cdot)\) None 0 8
2583.1.eo \(\chi_{2583}(283, \cdot)\) None 0 8
2583.1.ep \(\chi_{2583}(31, \cdot)\) None 0 8
2583.1.eq \(\chi_{2583}(338, \cdot)\) None 0 8
2583.1.er \(\chi_{2583}(23, \cdot)\) None 0 8
2583.1.ev \(\chi_{2583}(190, \cdot)\) None 0 16
2583.1.ew \(\chi_{2583}(188, \cdot)\) None 0 16
2583.1.ez \(\chi_{2583}(74, \cdot)\) None 0 16
2583.1.fa \(\chi_{2583}(61, \cdot)\) None 0 16
2583.1.fd \(\chi_{2583}(964, \cdot)\) None 0 16
2583.1.fe \(\chi_{2583}(349, \cdot)\) None 0 16
2583.1.fg \(\chi_{2583}(2, \cdot)\) None 0 16
2583.1.fj \(\chi_{2583}(554, \cdot)\) None 0 16
2583.1.fk \(\chi_{2583}(431, \cdot)\) None 0 16
2583.1.fn \(\chi_{2583}(103, \cdot)\) None 0 16
2583.1.fo \(\chi_{2583}(22, \cdot)\) None 0 32
2583.1.fq \(\chi_{2583}(47, \cdot)\) None 0 32
2583.1.fs \(\chi_{2583}(17, \cdot)\) None 0 32
2583.1.fv \(\chi_{2583}(235, \cdot)\) None 0 32
2583.1.fx \(\chi_{2583}(67, \cdot)\) None 0 32
2583.1.fz \(\chi_{2583}(104, \cdot)\) None 0 32
2583.1.gb \(\chi_{2583}(101, \cdot)\) None 0 32
2583.1.gc \(\chi_{2583}(58, \cdot)\) None 0 32

Decomposition of \(S_{1}^{\mathrm{old}}(\Gamma_1(2583))\) into lower level spaces

\( S_{1}^{\mathrm{old}}(\Gamma_1(2583)) \cong \) \(S_{1}^{\mathrm{new}}(\Gamma_1(63))\)\(^{\oplus 2}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(287))\)\(^{\oplus 3}\)