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Properties

Label 5025.2
Level 5025
Weight 2
Dimension 617522
Nonzero newspaces 48
Sturm bound 3590400

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Defining parameters

Level: \( N \) = \( 5025 = 3 \cdot 5^{2} \cdot 67 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 48 \)
Sturm bound: \(3590400\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(5025))\).

Total New Old
Modular forms 904992 622854 282138
Cusp forms 890209 617522 272687
Eisenstein series 14783 5332 9451

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(5025))\)

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
5025.2.a \(\chi_{5025}(1, \cdot)\) 5025.2.a.a 1 1
5025.2.a.b 1
5025.2.a.c 1
5025.2.a.d 1
5025.2.a.e 1
5025.2.a.f 1
5025.2.a.g 1
5025.2.a.h 1
5025.2.a.i 1
5025.2.a.j 2
5025.2.a.k 2
5025.2.a.l 3
5025.2.a.m 3
5025.2.a.n 3
5025.2.a.o 3
5025.2.a.p 3
5025.2.a.q 3
5025.2.a.r 3
5025.2.a.s 4
5025.2.a.t 4
5025.2.a.u 4
5025.2.a.v 4
5025.2.a.w 5
5025.2.a.x 5
5025.2.a.y 5
5025.2.a.z 6
5025.2.a.ba 6
5025.2.a.bb 7
5025.2.a.bc 8
5025.2.a.bd 8
5025.2.a.be 8
5025.2.a.bf 10
5025.2.a.bg 10
5025.2.a.bh 10
5025.2.a.bi 10
5025.2.a.bj 14
5025.2.a.bk 14
5025.2.a.bl 17
5025.2.a.bm 17
5025.2.c \(\chi_{5025}(4624, \cdot)\) n/a 196 1
5025.2.e \(\chi_{5025}(5024, \cdot)\) n/a 404 1
5025.2.g \(\chi_{5025}(401, \cdot)\) n/a 424 1
5025.2.i \(\chi_{5025}(2776, \cdot)\) n/a 430 2
5025.2.j \(\chi_{5025}(2143, \cdot)\) n/a 408 2
5025.2.k \(\chi_{5025}(68, \cdot)\) n/a 792 2
5025.2.n \(\chi_{5025}(1006, \cdot)\) n/a 1312 4
5025.2.p \(\chi_{5025}(2576, \cdot)\) n/a 850 2
5025.2.r \(\chi_{5025}(2174, \cdot)\) n/a 808 2
5025.2.t \(\chi_{5025}(2374, \cdot)\) n/a 408 2
5025.2.v \(\chi_{5025}(1406, \cdot)\) n/a 2704 4
5025.2.y \(\chi_{5025}(604, \cdot)\) n/a 1328 4
5025.2.ba \(\chi_{5025}(1004, \cdot)\) n/a 2704 4
5025.2.bc \(\chi_{5025}(76, \cdot)\) n/a 2160 10
5025.2.bf \(\chi_{5025}(2107, \cdot)\) n/a 816 4
5025.2.bg \(\chi_{5025}(632, \cdot)\) n/a 1616 4
5025.2.bh \(\chi_{5025}(766, \cdot)\) n/a 2720 8
5025.2.bk \(\chi_{5025}(872, \cdot)\) n/a 5280 8
5025.2.bl \(\chi_{5025}(133, \cdot)\) n/a 2720 8
5025.2.bn \(\chi_{5025}(176, \cdot)\) n/a 4240 10
5025.2.bp \(\chi_{5025}(1124, \cdot)\) n/a 4040 10
5025.2.br \(\chi_{5025}(349, \cdot)\) n/a 2040 10
5025.2.bu \(\chi_{5025}(164, \cdot)\) n/a 5408 8
5025.2.bw \(\chi_{5025}(364, \cdot)\) n/a 2720 8
5025.2.bz \(\chi_{5025}(566, \cdot)\) n/a 5408 8
5025.2.ca \(\chi_{5025}(151, \cdot)\) n/a 4300 20
5025.2.cd \(\chi_{5025}(107, \cdot)\) n/a 8080 20
5025.2.ce \(\chi_{5025}(43, \cdot)\) n/a 4080 20
5025.2.cf \(\chi_{5025}(91, \cdot)\) n/a 13600 40
5025.2.cg \(\chi_{5025}(833, \cdot)\) n/a 10816 16
5025.2.ch \(\chi_{5025}(97, \cdot)\) n/a 5440 16
5025.2.cl \(\chi_{5025}(49, \cdot)\) n/a 4080 20
5025.2.cn \(\chi_{5025}(74, \cdot)\) n/a 8080 20
5025.2.cp \(\chi_{5025}(101, \cdot)\) n/a 8500 20
5025.2.cs \(\chi_{5025}(119, \cdot)\) n/a 27040 40
5025.2.cu \(\chi_{5025}(64, \cdot)\) n/a 13600 40
5025.2.cx \(\chi_{5025}(161, \cdot)\) n/a 27040 40
5025.2.cy \(\chi_{5025}(218, \cdot)\) n/a 16160 40
5025.2.cz \(\chi_{5025}(7, \cdot)\) n/a 8160 40
5025.2.dc \(\chi_{5025}(16, \cdot)\) n/a 27200 80
5025.2.dd \(\chi_{5025}(52, \cdot)\) n/a 27200 80
5025.2.de \(\chi_{5025}(62, \cdot)\) n/a 54080 80
5025.2.dh \(\chi_{5025}(11, \cdot)\) n/a 54080 80
5025.2.dk \(\chi_{5025}(4, \cdot)\) n/a 27200 80
5025.2.dm \(\chi_{5025}(44, \cdot)\) n/a 54080 80
5025.2.dq \(\chi_{5025}(13, \cdot)\) n/a 54400 160
5025.2.dr \(\chi_{5025}(17, \cdot)\) n/a 108160 160

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(5025))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(5025)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(1))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(3))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(5))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(15))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(25))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(67))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(75))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(201))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(335))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1005))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1675))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(5025))\)\(^{\oplus 1}\)