Properties

Label 4923.2
Level 4923
Weight 2
Dimension 708162
Nonzero newspaces 40
Sturm bound 3590496

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Defining parameters

Level: \( N \) = \( 4923 = 3^{2} \cdot 547 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 40 \)
Sturm bound: \(3590496\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(4923))\).

Total New Old
Modular forms 901992 713066 188926
Cusp forms 893257 708162 185095
Eisenstein series 8735 4904 3831

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(4923))\)

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
4923.2.a \(\chi_{4923}(1, \cdot)\) 4923.2.a.a 1 1
4923.2.a.b 1
4923.2.a.c 1
4923.2.a.d 1
4923.2.a.e 2
4923.2.a.f 2
4923.2.a.g 2
4923.2.a.h 2
4923.2.a.i 3
4923.2.a.j 8
4923.2.a.k 17
4923.2.a.l 18
4923.2.a.m 24
4923.2.a.n 25
4923.2.a.o 31
4923.2.a.p 40
4923.2.a.q 50
4923.2.d \(\chi_{4923}(4922, \cdot)\) n/a 184 1
4923.2.e \(\chi_{4923}(3241, \cdot)\) n/a 454 2
4923.2.f \(\chi_{4923}(1642, \cdot)\) n/a 1092 2
4923.2.g \(\chi_{4923}(40, \cdot)\) n/a 1092 2
4923.2.h \(\chi_{4923}(1681, \cdot)\) n/a 1092 2
4923.2.k \(\chi_{4923}(1601, \cdot)\) n/a 364 2
4923.2.l \(\chi_{4923}(1640, \cdot)\) n/a 1092 2
4923.2.m \(\chi_{4923}(3323, \cdot)\) n/a 1092 2
4923.2.t \(\chi_{4923}(41, \cdot)\) n/a 1092 2
4923.2.u \(\chi_{4923}(1945, \cdot)\) n/a 1368 6
4923.2.v \(\chi_{4923}(46, \cdot)\) n/a 2736 12
4923.2.w \(\chi_{4923}(1097, \cdot)\) n/a 1104 6
4923.2.z \(\chi_{4923}(13, \cdot)\) n/a 6552 12
4923.2.ba \(\chi_{4923}(178, \cdot)\) n/a 6552 12
4923.2.bb \(\chi_{4923}(304, \cdot)\) n/a 6552 12
4923.2.bc \(\chi_{4923}(505, \cdot)\) n/a 2724 12
4923.2.bd \(\chi_{4923}(107, \cdot)\) n/a 2208 12
4923.2.bg \(\chi_{4923}(988, \cdot)\) n/a 13104 24
4923.2.bh \(\chi_{4923}(475, \cdot)\) n/a 13104 24
4923.2.bi \(\chi_{4923}(136, \cdot)\) n/a 5448 24
4923.2.bj \(\chi_{4923}(121, \cdot)\) n/a 13104 24
4923.2.bk \(\chi_{4923}(533, \cdot)\) n/a 6552 12
4923.2.br \(\chi_{4923}(734, \cdot)\) n/a 6552 12
4923.2.bs \(\chi_{4923}(365, \cdot)\) n/a 6552 12
4923.2.bt \(\chi_{4923}(971, \cdot)\) n/a 2184 12
4923.2.bw \(\chi_{4923}(59, \cdot)\) n/a 13104 24
4923.2.cd \(\chi_{4923}(38, \cdot)\) n/a 13104 24
4923.2.ce \(\chi_{4923}(26, \cdot)\) n/a 4368 24
4923.2.cf \(\chi_{4923}(83, \cdot)\) n/a 13104 24
4923.2.ci \(\chi_{4923}(10, \cdot)\) n/a 16416 72
4923.2.cl \(\chi_{4923}(8, \cdot)\) n/a 13248 72
4923.2.cm \(\chi_{4923}(4, \cdot)\) n/a 78624 144
4923.2.cn \(\chi_{4923}(19, \cdot)\) n/a 32688 144
4923.2.co \(\chi_{4923}(52, \cdot)\) n/a 78624 144
4923.2.cp \(\chi_{4923}(34, \cdot)\) n/a 78624 144
4923.2.cs \(\chi_{4923}(2, \cdot)\) n/a 78624 144
4923.2.ct \(\chi_{4923}(17, \cdot)\) n/a 26208 144
4923.2.cu \(\chi_{4923}(65, \cdot)\) n/a 78624 144
4923.2.db \(\chi_{4923}(95, \cdot)\) n/a 78624 144

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(4923))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(4923)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(547))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1641))\)\(^{\oplus 2}\)