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Properties

Label 2673.1
Level 2673
Weight 1
Dimension 144
Nonzero newspaces 5
Newform subspaces 10
Sturm bound 524880
Trace bound 1

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Defining parameters

Level: \( N \) = \( 2673 = 3^{5} \cdot 11 \)
Weight: \( k \) = \( 1 \)
Nonzero newspaces: \( 5 \)
Newform subspaces: \( 10 \)
Sturm bound: \(524880\)
Trace bound: \(1\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(2673))\).

Total New Old
Modular forms 4014 1872 2142
Cusp forms 234 144 90
Eisenstein series 3780 1728 2052

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

\(D_n\) \(A_4\) \(S_4\) \(A_5\)
Dimension 96 0 0 48

Trace form

\( 144 q + O(q^{10}) \) \( 144 q + 24 q^{10} - 12 q^{19} + 9 q^{20} + 6 q^{25} + 6 q^{31} - 12 q^{46} + 6 q^{55} + 6 q^{64} - 21 q^{67} - 24 q^{73} - 27 q^{75} - 30 q^{82} - 45 q^{89} - 18 q^{91} - 21 q^{97} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{1}^{\mathrm{new}}(\Gamma_1(2673))\)

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
2673.1.b \(\chi_{2673}(485, \cdot)\) None 0 1
2673.1.c \(\chi_{2673}(2188, \cdot)\) None 0 1
2673.1.h \(\chi_{2673}(406, \cdot)\) None 0 2
2673.1.i \(\chi_{2673}(1376, \cdot)\) None 0 2
2673.1.l \(\chi_{2673}(244, \cdot)\) None 0 4
2673.1.m \(\chi_{2673}(971, \cdot)\) 2673.1.m.a 8 4
2673.1.m.b 8
2673.1.p \(\chi_{2673}(188, \cdot)\) None 0 6
2673.1.q \(\chi_{2673}(109, \cdot)\) 2673.1.q.a 6 6
2673.1.q.b 6
2673.1.q.c 6
2673.1.q.d 6
2673.1.s \(\chi_{2673}(80, \cdot)\) 2673.1.s.a 16 8
2673.1.s.b 16
2673.1.t \(\chi_{2673}(325, \cdot)\) None 0 8
2673.1.w \(\chi_{2673}(10, \cdot)\) 2673.1.w.a 18 18
2673.1.x \(\chi_{2673}(89, \cdot)\) None 0 18
2673.1.ba \(\chi_{2673}(26, \cdot)\) None 0 24
2673.1.bb \(\chi_{2673}(28, \cdot)\) None 0 24
2673.1.be \(\chi_{2673}(43, \cdot)\) 2673.1.be.a 54 54
2673.1.bg \(\chi_{2673}(23, \cdot)\) None 0 54
2673.1.bi \(\chi_{2673}(71, \cdot)\) None 0 72
2673.1.bj \(\chi_{2673}(19, \cdot)\) None 0 72
2673.1.bl \(\chi_{2673}(5, \cdot)\) None 0 216
2673.1.bn \(\chi_{2673}(7, \cdot)\) None 0 216

Decomposition of \(S_{1}^{\mathrm{old}}(\Gamma_1(2673))\) into lower level spaces

\( S_{1}^{\mathrm{old}}(\Gamma_1(2673)) \cong \) \(S_{1}^{\mathrm{new}}(\Gamma_1(1))\)\(^{\oplus 12}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(3))\)\(^{\oplus 10}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(9))\)\(^{\oplus 8}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(11))\)\(^{\oplus 6}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(27))\)\(^{\oplus 6}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(33))\)\(^{\oplus 5}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(81))\)\(^{\oplus 4}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(99))\)\(^{\oplus 4}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(243))\)\(^{\oplus 2}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(297))\)\(^{\oplus 3}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(891))\)\(^{\oplus 2}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(2673))\)\(^{\oplus 1}\)