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Results (22 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
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	43
3698.2.a.a	$3698$	$2$	3698.a	1.a	$1$	$1$	$1$	$29.529$	\(\Q\)	None	✓				86.2.c.a	$1$	$1$	\(-1\)	\(1\)	\(3\)	\(-1\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+3q^{5}-q^{6}-q^{7}+\cdots\)
3698.2.a.b	$3698$	$2$	3698.a	1.a	$1$	$1$	$1$	$29.529$	\(\Q\)	None	✓				86.2.c.a	$1$	$1$	\(1\)	\(-1\)	\(-3\)	\(1\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-3q^{5}-q^{6}+q^{7}+\cdots\)
3698.2.a.c	$3698$	$2$	3698.a	1.a	$1$	$2$	$2$	$29.529$	\(\Q(\sqrt{13}) \)	None	✓	✓			3698.2.a.c	$1$	$1$	\(-2\)	\(-1\)	\(-5\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta q^{3}+q^{4}+(-3+\beta )q^{5}+\beta q^{6}+\cdots\)
3698.2.a.d	$3698$	$2$	3698.a	1.a	$1$	$2$	$2$	$29.529$	\(\Q(\sqrt{17}) \)	None	✓				86.2.c.b	$1$	$0$	\(-2\)	\(-1\)	\(-3\)	\(-3\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta q^{3}+q^{4}+(-2+\beta )q^{5}+\beta q^{6}+\cdots\)
3698.2.a.e	$3698$	$2$	3698.a	1.a	$1$	$2$	$2$	$29.529$	\(\Q(\sqrt{5}) \)	None	✓				86.2.a.b	$1$	$0$	\(-2\)	\(-1\)	\(3\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta q^{3}+q^{4}+(1+\beta )q^{5}+\beta q^{6}+\cdots\)
3698.2.a.f	$3698$	$2$	3698.a	1.a	$1$	$2$	$2$	$29.529$	\(\Q(\sqrt{21}) \)	None	✓				86.2.a.a	$1$	$1$	\(2\)	\(1\)	\(-3\)	\(-4\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta q^{3}+q^{4}+(-1-\beta )q^{5}+\beta q^{6}+\cdots\)
3698.2.a.g	$3698$	$2$	3698.a	1.a	$1$	$2$	$2$	$29.529$	\(\Q(\sqrt{17}) \)	None	✓				86.2.c.b	$1$	$0$	\(2\)	\(1\)	\(3\)	\(3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta q^{3}+q^{4}+(2-\beta )q^{5}+\beta q^{6}+\cdots\)
3698.2.a.h	$3698$	$2$	3698.a	1.a	$1$	$2$	$2$	$29.529$	\(\Q(\sqrt{13}) \)	None	✓	✓			3698.2.a.c	$1$	$0$	\(2\)	\(1\)	\(5\)	\(2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta q^{3}+q^{4}+(3-\beta )q^{5}+\beta q^{6}+\cdots\)
3698.2.a.i	$3698$	$2$	3698.a	1.a	$1$	$5$	$5$	$29.529$	\(\Q(\zeta_{22})^+\)	None	✓	✓			3698.2.a.i	$1$	$0$	\(-5\)	\(4\)	\(1\)	\(7\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1-\beta _{1})q^{3}+q^{4}+(-\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots\)
3698.2.a.j	$3698$	$2$	3698.a	1.a	$1$	$5$	$5$	$29.529$	\(\Q(\zeta_{22})^+\)	None	✓	✓			3698.2.a.i	$1$	$1$	\(5\)	\(-4\)	\(-1\)	\(-7\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(\beta _{1}-\beta _{3}+\cdots)q^{5}+\cdots\)
3698.2.a.k	$3698$	$2$	3698.a	1.a	$1$	$6$	$6$	$29.529$	\(\Q(\zeta_{21})^+\)	None	✓				86.2.g.a	$1$	$1$	\(-6\)	\(-1\)	\(4\)	\(1\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(\beta _{3}+\beta _{4})q^{3}+q^{4}+(1+\beta _{3}+\cdots)q^{5}+\cdots\)
3698.2.a.l	$3698$	$2$	3698.a	1.a	$1$	$6$	$6$	$29.529$	6.6.6369853.1	None	✓				86.2.e.a	$1$	$1$	\(-6\)	\(4\)	\(2\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1+\beta _{1}+\beta _{2}+\beta _{3})q^{3}+q^{4}+\cdots\)
3698.2.a.m	$3698$	$2$	3698.a	1.a	$1$	$6$	$6$	$29.529$	6.6.6369853.1	None	✓				86.2.e.a	$1$	$1$	\(6\)	\(-4\)	\(-2\)	\(2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1-\beta _{1}-\beta _{2}-\beta _{3})q^{3}+q^{4}+\cdots\)
3698.2.a.n	$3698$	$2$	3698.a	1.a	$1$	$6$	$6$	$29.529$	\(\Q(\zeta_{21})^+\)	None	✓				86.2.g.a	$1$	$1$	\(6\)	\(1\)	\(-4\)	\(-1\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-\beta _{2}+\beta _{5})q^{3}+q^{4}+(-1+\cdots)q^{5}+\cdots\)
3698.2.a.o	$3698$	$2$	3698.a	1.a	$1$	$9$	$9$	$29.529$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓				86.2.e.b	$1$	$0$	\(-9\)	\(-1\)	\(-2\)	\(4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{4}q^{5}+\beta _{1}q^{6}+\cdots\)
3698.2.a.p	$3698$	$2$	3698.a	1.a	$1$	$9$	$9$	$29.529$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓				86.2.e.b	$1$	$0$	\(9\)	\(1\)	\(2\)	\(-4\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{4}q^{5}+\beta _{1}q^{6}+\cdots\)
3698.2.a.q	$3698$	$2$	3698.a	1.a	$1$	$10$	$10$	$29.529$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	✓			3698.2.a.q	$1$	$0$	\(-10\)	\(6\)	\(4\)	\(9\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1+\beta _{8})q^{3}+q^{4}+(1-\beta _{2}-\beta _{3}+\cdots)q^{5}+\cdots\)
3698.2.a.r	$3698$	$2$	3698.a	1.a	$1$	$10$	$10$	$29.529$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	✓	✓		3698.2.a.q	$1$	$1$	\(10\)	\(-6\)	\(-4\)	\(-9\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1-\beta _{8})q^{3}+q^{4}+(-1+\beta _{2}+\cdots)q^{5}+\cdots\)
3698.2.a.s	$3698$	$2$	3698.a	1.a	$1$	$12$	$12$	$29.529$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓		✓		86.2.g.b	$1$	$0$	\(-12\)	\(1\)	\(-4\)	\(3\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1-\beta _{1}-\beta _{5}+\beta _{9})q^{3}+q^{4}+\cdots\)
3698.2.a.t	$3698$	$2$	3698.a	1.a	$1$	$12$	$12$	$29.529$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓				86.2.g.b	$1$	$0$	\(12\)	\(-1\)	\(4\)	\(-3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta _{1}+\beta _{5}-\beta _{9})q^{3}+q^{4}+\cdots\)
3698.2.a.u	$3698$	$2$	3698.a	1.a	$1$	$20$	$20$	$29.529$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	✓	✓		3698.2.a.u	$1$	$1$	\(-20\)	\(-10\)	\(-6\)	\(-20\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(\beta _{11}-\beta _{17}+\cdots)q^{5}+\cdots\)
3698.2.a.v	$3698$	$2$	3698.a	1.a	$1$	$20$	$20$	$29.529$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	✓	✓		3698.2.a.u	$1$	$0$	\(20\)	\(10\)	\(6\)	\(20\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1-\beta _{1})q^{3}+q^{4}+(-\beta _{11}+\beta _{17}+\cdots)q^{5}+\cdots\)

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