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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 (6 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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		5	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
175.10.a.b	$175$	$10$	175.a	1.a	$1$	$2$	$2$	$90.131$	\(\Q(\sqrt{193}) \)	None	✓				7.10.a.a	$1$	$0$	\(6\)	\(86\)	\(0\)	\(4802\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(3+\beta )q^{2}+(43-11\beta )q^{3}+(-310+\cdots)q^{4}+\cdots\)
175.10.a.e	$175$	$10$	175.a	1.a	$1$	$4$	$4$	$90.131$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓				35.10.a.c	$1$	$0$	\(19\)	\(18\)	\(0\)	\(9604\)		$+$	$-$	$-$	$2\cdot 3^{2}\cdot 5$	$\mathrm{SU}(2)$	\(q+(5+\beta _{1})q^{2}+(4-\beta _{2})q^{3}+(435+9\beta _{1}+\cdots)q^{4}+\cdots\)
175.10.a.g	$175$	$10$	175.a	1.a	$1$	$6$	$6$	$90.131$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓				35.10.a.e	$1$	$0$	\(-15\)	\(124\)	\(0\)	\(14406\)		$+$	$-$	$-$	$2^{3}\cdot 3^{2}\cdot 5$	$\mathrm{SU}(2)$	\(q+(-3+\beta _{1})q^{2}+(20+\beta _{1}-\beta _{2})q^{3}+\cdots\)
175.10.a.j	$175$	$10$	175.a	1.a	$1$	$10$	$10$	$90.131$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	✓			175.10.a.j	$1$	$0$	\(-22\)	\(77\)	\(0\)	\(-24010\)		$-$	$+$	$-$	$2^{7}\cdot 3^{4}\cdot 5^{6}$	$\mathrm{SU}(2)$	\(q+(-2-\beta _{1})q^{2}+(8+\beta _{3})q^{3}+(237+\cdots)q^{4}+\cdots\)
175.10.a.k	$175$	$10$	175.a	1.a	$1$	$10$	$10$	$90.131$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	✓	✓		175.10.a.j	$1$	$0$	\(22\)	\(-77\)	\(0\)	\(24010\)		$+$	$-$	$-$	$2^{7}\cdot 3^{4}\cdot 5^{6}$	$\mathrm{SU}(2)$	\(q+(2+\beta _{1})q^{2}+(-8-\beta _{3})q^{3}+(237+\cdots)q^{4}+\cdots\)
175.10.a.m	$175$	$10$	175.a	1.a	$1$	$13$	$13$	$90.131$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓		✓		35.10.b.a	$1$	$0$	\(32\)	\(158\)	\(0\)	\(-31213\)		$-$	$+$	$-$	$2^{9}\cdot 3^{2}\cdot 5^{10}$	$\mathrm{SU}(2)$	\(q+(2+\beta _{1})q^{2}+(12-\beta _{3})q^{3}+(208+5\beta _{1}+\cdots)q^{4}+\cdots\)

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