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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

Level	Weight	Analytic conductor	\(Nk^2\)	Dim.
Bad \(p\)	Char.	Primitive character	Character order	Coefficient field
Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank
Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Results (6 matches)

 

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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	7	23
1932.2.a.a	$1932$	$2$	1932.a	1.a	$1$	$1$	$1$	$15.427$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(0\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{7}+q^{9}-5q^{11}-6q^{13}+\cdots\)
1932.2.a.b	$1932$	$2$	1932.a	1.a	$1$	$1$	$1$	$15.427$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(1\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{7}+q^{9}+3q^{11}+2q^{13}+\cdots\)
1932.2.a.c	$1932$	$2$	1932.a	1.a	$1$	$2$	$2$	$15.427$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-5\)	\(-2\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(-2-\beta )q^{5}-q^{7}+q^{9}+(3+\cdots)q^{11}+\cdots\)
1932.2.a.h	$1932$	$2$	1932.a	1.a	$1$	$2$	$2$	$15.427$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(1\)	\(2\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-1+3\beta )q^{5}+q^{7}+q^{9}+3q^{11}+\cdots\)
1932.2.a.i	$1932$	$2$	1932.a	1.a	$1$	$3$	$3$	$15.427$	3.3.1509.1	None	✓	$1$	$0$	\(0\)	\(-3\)	\(-1\)	\(3\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-\beta _{1}q^{5}+q^{7}+q^{9}+(1-2\beta _{1}+\cdots)q^{11}+\cdots\)
1932.2.a.j	$1932$	$2$	1932.a	1.a	$1$	$3$	$3$	$15.427$	3.3.1101.1	None	✓	$1$	$0$	\(0\)	\(3\)	\(1\)	\(-3\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+\beta _{1}q^{5}-q^{7}+q^{9}+q^{11}+(-1+\cdots)q^{13}+\cdots\)