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Properties

Label 1895.1
Level 1895
Weight 1
Dimension 25
Nonzero newspaces 1
Newform subspaces 9
Sturm bound 287280
Trace bound 0

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Defining parameters

Level: \( N \) = \( 1895 = 5 \cdot 379 \)
Weight: \( k \) = \( 1 \)
Nonzero newspaces: \( 1 \)
Newform subspaces: \( 9 \)
Sturm bound: \(287280\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(1895))\).

Total New Old
Modular forms 1539 1155 384
Cusp forms 27 25 2
Eisenstein series 1512 1130 382

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

\(D_n\) \(A_4\) \(S_4\) \(A_5\)
Dimension 25 0 0 0

Trace form

\( 25 q + 19 q^{4} - 2 q^{5} - 4 q^{6} + 19 q^{9} + O(q^{10}) \) \( 25 q + 19 q^{4} - 2 q^{5} - 4 q^{6} + 19 q^{9} - 4 q^{14} + 21 q^{16} - 4 q^{19} - 2 q^{20} - 4 q^{21} - 8 q^{24} + 22 q^{25} - 4 q^{26} - 4 q^{30} - 4 q^{34} + 17 q^{36} - 4 q^{39} - 4 q^{41} - 2 q^{45} + 19 q^{49} - 4 q^{51} - 8 q^{54} - 8 q^{56} - 4 q^{61} + 15 q^{64} - 4 q^{70} - 4 q^{76} - 6 q^{80} + 21 q^{81} - 12 q^{84} - 4 q^{86} - 4 q^{91} - 4 q^{94} - q^{95} - 12 q^{96} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{1}^{\mathrm{new}}(\Gamma_1(1895))\)

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
1895.1.b \(\chi_{1895}(1136, \cdot)\) None 0 1
1895.1.d \(\chi_{1895}(1894, \cdot)\) 1895.1.d.a 1 1
1895.1.d.b 1
1895.1.d.c 1
1895.1.d.d 2
1895.1.d.e 2
1895.1.d.f 2
1895.1.d.g 4
1895.1.d.h 4
1895.1.d.i 8
1895.1.g \(\chi_{1895}(1138, \cdot)\) None 0 2
1895.1.h \(\chi_{1895}(1189, \cdot)\) None 0 2
1895.1.j \(\chi_{1895}(431, \cdot)\) None 0 2
1895.1.m \(\chi_{1895}(327, \cdot)\) None 0 4
1895.1.o \(\chi_{1895}(184, \cdot)\) None 0 6
1895.1.p \(\chi_{1895}(241, \cdot)\) None 0 6
1895.1.r \(\chi_{1895}(194, \cdot)\) None 0 6
1895.1.s \(\chi_{1895}(1331, \cdot)\) None 0 6
1895.1.x \(\chi_{1895}(138, \cdot)\) None 0 12
1895.1.z \(\chi_{1895}(463, \cdot)\) None 0 12
1895.1.bb \(\chi_{1895}(286, \cdot)\) None 0 12
1895.1.bc \(\chi_{1895}(124, \cdot)\) None 0 12
1895.1.bd \(\chi_{1895}(69, \cdot)\) None 0 18
1895.1.be \(\chi_{1895}(11, \cdot)\) None 0 18
1895.1.bh \(\chi_{1895}(93, \cdot)\) None 0 24
1895.1.bk \(\chi_{1895}(87, \cdot)\) None 0 36
1895.1.bm \(\chi_{1895}(181, \cdot)\) None 0 36
1895.1.bn \(\chi_{1895}(29, \cdot)\) None 0 36
1895.1.bp \(\chi_{1895}(23, \cdot)\) None 0 72
1895.1.br \(\chi_{1895}(74, \cdot)\) None 0 108
1895.1.bt \(\chi_{1895}(31, \cdot)\) None 0 108
1895.1.bu \(\chi_{1895}(22, \cdot)\) None 0 216

Decomposition of \(S_{1}^{\mathrm{old}}(\Gamma_1(1895))\) into lower level spaces

\( S_{1}^{\mathrm{old}}(\Gamma_1(1895)) \cong \) \(S_{1}^{\mathrm{new}}(\Gamma_1(1))\)\(^{\oplus 4}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(5))\)\(^{\oplus 2}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(379))\)\(^{\oplus 2}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(1895))\)\(^{\oplus 1}\)