Properties

Label 184.2
Level 184
Weight 2
Dimension 550
Nonzero newspaces 6
Newform subspaces 15
Sturm bound 4224
Trace bound 3

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Defining parameters

Level: \( N \) = \( 184 = 2^{3} \cdot 23 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 6 \)
Newform subspaces: \( 15 \)
Sturm bound: \(4224\)
Trace bound: \(3\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(184))\).

Total New Old
Modular forms 1188 634 554
Cusp forms 925 550 375
Eisenstein series 263 84 179

Trace form

\( 550 q - 22 q^{2} - 22 q^{3} - 22 q^{4} - 22 q^{6} - 22 q^{7} - 22 q^{8} - 44 q^{9} - 22 q^{10} - 22 q^{11} - 22 q^{12} - 22 q^{14} - 22 q^{15} - 22 q^{16} - 44 q^{17} - 22 q^{18} - 22 q^{19} - 22 q^{20}+ \cdots + 176 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(184))\)

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
184.2.a \(\chi_{184}(1, \cdot)\) 184.2.a.a 1 1
184.2.a.b 1
184.2.a.c 1
184.2.a.d 1
184.2.a.e 2
184.2.b \(\chi_{184}(93, \cdot)\) 184.2.b.a 2 1
184.2.b.b 8
184.2.b.c 12
184.2.c \(\chi_{184}(183, \cdot)\) None 0 1
184.2.h \(\chi_{184}(91, \cdot)\) 184.2.h.a 4 1
184.2.h.b 6
184.2.h.c 12
184.2.i \(\chi_{184}(9, \cdot)\) 184.2.i.a 30 10
184.2.i.b 30
184.2.j \(\chi_{184}(11, \cdot)\) 184.2.j.a 220 10
184.2.o \(\chi_{184}(7, \cdot)\) None 0 10
184.2.p \(\chi_{184}(13, \cdot)\) 184.2.p.a 220 10

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(184))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(184)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(1))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(4))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(8))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(23))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(46))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(92))\)\(^{\oplus 2}\)