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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 (14 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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	31	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
6975.2.a.a	$6975$	$2$	6975.a	1.a	$1$	$1$	$1$	$55.696$	\(\Q\)	None	✓				2325.2.a.a	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}-4q^{7}+q^{11}-6q^{13}+\cdots\)
6975.2.a.b	$6975$	$2$	6975.a	1.a	$1$	$1$	$1$	$55.696$	\(\Q\)	None	✓				155.2.a.a	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}+2q^{7}-2q^{11}+6q^{13}+\cdots\)
6975.2.a.d	$6975$	$2$	6975.a	1.a	$1$	$1$	$1$	$55.696$	\(\Q\)	None	✓				155.2.a.b	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}-4q^{7}+3q^{8}-4q^{11}+\cdots\)
6975.2.a.f	$6975$	$2$	6975.a	1.a	$1$	$1$	$1$	$55.696$	\(\Q\)	None	✓				2325.2.a.c	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+2q^{7}+3q^{8}+2q^{11}+\cdots\)
6975.2.a.j	$6975$	$2$	6975.a	1.a	$1$	$1$	$1$	$55.696$	\(\Q\)	None	✓				2325.2.a.f	$1$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}+3q^{11}-4q^{13}+4q^{16}-7q^{17}+\cdots\)
6975.2.a.q	$6975$	$2$	6975.a	1.a	$1$	$1$	$1$	$55.696$	\(\Q\)	None	✓				465.2.a.b	$1$	$1$	\(1\)	\(0\)	\(0\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}+2q^{7}-3q^{8}+4q^{11}+\cdots\)
6975.2.a.r	$6975$	$2$	6975.a	1.a	$1$	$1$	$1$	$55.696$	\(\Q\)	None	✓				2325.2.a.b	$1$	$1$	\(2\)	\(0\)	\(0\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}-4q^{7}+5q^{11}+6q^{13}+\cdots\)
6975.2.a.u	$6975$	$2$	6975.a	1.a	$1$	$2$	$2$	$55.696$	\(\Q(\sqrt{2}) \)	None	✓				465.2.a.c	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}+(1-2\beta )q^{4}+(2+\beta )q^{7}+\cdots\)
6975.2.a.y	$6975$	$2$	6975.a	1.a	$1$	$2$	$2$	$55.696$	\(\Q(\sqrt{5}) \)	None	✓				31.2.a.a	$1$	$1$	\(1\)	\(0\)	\(0\)	\(4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(-1+\beta )q^{4}+(3-2\beta )q^{7}+\cdots\)
6975.2.a.be	$6975$	$2$	6975.a	1.a	$1$	$3$	$3$	$55.696$	3.3.148.1	None	✓				465.2.a.f	$1$	$1$	\(1\)	\(0\)	\(0\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
6975.2.a.bf	$6975$	$2$	6975.a	1.a	$1$	$3$	$3$	$55.696$	3.3.564.1	None	✓				465.2.a.e	$1$	$1$	\(1\)	\(0\)	\(0\)	\(-8\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-3+\beta _{1})q^{7}+\cdots\)
6975.2.a.bj	$6975$	$2$	6975.a	1.a	$1$	$4$	$4$	$55.696$	4.4.20308.1	None	✓				155.2.a.d	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(2+\beta _{1}+\beta _{2})q^{4}-\beta _{2}q^{7}+\cdots\)
6975.2.a.bq	$6975$	$2$	6975.a	1.a	$1$	$5$	$5$	$55.696$	5.5.205225.1	None	✓				775.2.a.i	$1$	$1$	\(-4\)	\(0\)	\(0\)	\(6\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2}+\beta _{3}+\cdots)q^{4}+\cdots\)
6975.2.a.bz	$6975$	$2$	6975.a	1.a	$1$	$6$	$6$	$55.696$	6.6.136751504.1	None	✓		✓		2325.2.a.z	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(-6\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1-\beta _{3})q^{7}+\cdots\)

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