LMFDB - Space of modular forms of level 152, weight 2, and trivial character

Defining parameters

The following table gives the dimensions of various subspaces of $M_{2}(\Gamma_0(152))$.

The following table gives the dimensions of the cuspidal new subspaces with specified eigenvalues for the Atkin-Lehner operators and the Fricke involution.

$2$	$19$	Fricke	Dim
$+$	$+$	$+$	$1$
$+$	$-$	$-$	$1$
$-$	$+$	$-$	$3$
Plus space		$+$	$1$
Minus space		$-$	$4$

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				A-L signs		Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	2	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
152.2.a.a	$152$	$2$	152.a	1.a	$1$	$1$	$1$	$1.214$	$\Q$	None	✓	$1$	$1$	$0$	$-2$	$-1$	$-3$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-q^{5}-3q^{7}+q^{9}-3q^{11}+\cdots$
152.2.a.b	$152$	$2$	152.a	1.a	$1$	$1$	$1$	$1.214$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$3$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+3q^{7}-2q^{9}+2q^{11}+q^{13}+\cdots$
152.2.a.c	$152$	$2$	152.a	1.a	$1$	$3$	$3$	$1.214$	3.3.961.1	None	✓	$1$	$0$	$0$	$1$	$1$	$4$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}-\beta _{2}q^{5}+(2-\beta _{1}+\beta _{2})q^{7}+\cdots$

$ S_{2}^{\mathrm{old}}(\Gamma_0(152)) \cong $ $S_{2}^{\mathrm{new}}(\Gamma_0(19))$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_0(38))$$^{\oplus 3}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_0(76))$$^{\oplus 2}$

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\(2\)	\(19\)	Fricke	Dim
\(+\)	\(+\)	$+$	\(1\)
\(+\)	\(-\)	$-$	\(1\)
\(-\)	\(+\)	$-$	\(3\)
Plus space		\(+\)	\(1\)
Minus space		\(-\)	\(4\)