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

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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Is maximal/largest

Coefficient field	Self-twists	CM/RM discriminant	Inner twist count	Is self-dual

Coefficient ring index	Coefficient ring gens.	Is twist minimal	Projective image

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Results (7 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	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	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	23	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
368.4.a.a	$368$	$4$	368.a	1.a	$1$	$1$	$1$	$21.713$	\(\Q\)	None	✓				184.4.a.b	$1$	$1$	\(0\)	\(-8\)	\(-4\)	\(4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-8q^{3}-4q^{5}+4q^{7}+37q^{9}-26q^{11}+\cdots\)
368.4.a.b	$368$	$4$	368.a	1.a	$1$	$1$	$1$	$21.713$	\(\Q\)	None	✓				46.4.a.a	$1$	$1$	\(0\)	\(1\)	\(-10\)	\(12\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-10q^{5}+12q^{7}-26q^{9}+42q^{11}+\cdots\)
368.4.a.d	$368$	$4$	368.a	1.a	$1$	$1$	$1$	$21.713$	\(\Q\)	None	✓				23.4.a.a	$1$	$1$	\(0\)	\(5\)	\(-6\)	\(8\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+5q^{3}-6q^{5}+8q^{7}-2q^{9}-34q^{11}+\cdots\)
368.4.a.f	$368$	$4$	368.a	1.a	$1$	$2$	$2$	$21.713$	\(\Q(\sqrt{73}) \)	None	✓				46.4.a.d	$1$	$1$	\(0\)	\(-3\)	\(10\)	\(-12\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{3}+(6-2\beta )q^{5}+(-8+4\beta )q^{7}+\cdots\)
368.4.a.h	$368$	$4$	368.a	1.a	$1$	$3$	$3$	$21.713$	3.3.28669.1	None	✓		✓		92.4.a.b	$1$	$1$	\(0\)	\(-8\)	\(0\)	\(-42\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-3-\beta _{2})q^{3}+\beta _{1}q^{5}+(-14+\beta _{1}+\cdots)q^{7}+\cdots\)
368.4.a.i	$368$	$4$	368.a	1.a	$1$	$3$	$3$	$21.713$	3.3.761.1	None	✓				184.4.a.d	$1$	$1$	\(0\)	\(-1\)	\(16\)	\(-18\)		$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(5+2\beta _{1}+\beta _{2})q^{5}+(-5+\cdots)q^{7}+\cdots\)
368.4.a.n	$368$	$4$	368.a	1.a	$1$	$4$	$4$	$21.713$	4.4.167313.1	None	✓		✓		184.4.a.e	$1$	$1$	\(0\)	\(-1\)	\(-20\)	\(10\)		$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+(-5+\beta _{2}+\beta _{3})q^{5}+(1+\beta _{1}+\cdots)q^{7}+\cdots\)

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