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Results (35 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	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	11	31
5456.2.a.a	$5456$	$2$	5456.a	1.a	$1$	$1$	$1$	$43.566$	\(\Q\)	None	✓		2728.2.a.d	$1$	$1$	\(0\)	\(-2\)	\(-3\)	\(-3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-3q^{5}-3q^{7}+q^{9}+q^{11}+\cdots\)
5456.2.a.b	$5456$	$2$	5456.a	1.a	$1$	$1$	$1$	$43.566$	\(\Q\)	None	✓		2728.2.a.e	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+3q^{7}+q^{9}+q^{11}-3q^{17}+\cdots\)
5456.2.a.c	$5456$	$2$	5456.a	1.a	$1$	$1$	$1$	$43.566$	\(\Q\)	None	✓		2728.2.a.c	$1$	$0$	\(0\)	\(0\)	\(-3\)	\(5\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{5}+5q^{7}-3q^{9}+q^{11}-6q^{13}+\cdots\)
5456.2.a.d	$5456$	$2$	5456.a	1.a	$1$	$1$	$1$	$43.566$	\(\Q\)	None	✓		682.2.a.b	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}+3q^{7}-3q^{9}-q^{11}-4q^{13}+\cdots\)
5456.2.a.e	$5456$	$2$	5456.a	1.a	$1$	$1$	$1$	$43.566$	\(\Q\)	None	✓		1364.2.a.b	$1$	$1$	\(0\)	\(0\)	\(1\)	\(3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+3q^{7}-3q^{9}-q^{11}+2q^{13}+\cdots\)
5456.2.a.f	$5456$	$2$	5456.a	1.a	$1$	$1$	$1$	$43.566$	\(\Q\)	None	✓		2728.2.a.b	$1$	$1$	\(0\)	\(2\)	\(-3\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-3q^{5}+q^{7}+q^{9}+q^{11}-4q^{13}+\cdots\)
5456.2.a.g	$5456$	$2$	5456.a	1.a	$1$	$1$	$1$	$43.566$	\(\Q\)	None	✓		2728.2.a.a	$1$	$0$	\(0\)	\(2\)	\(-3\)	\(5\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-3q^{5}+5q^{7}+q^{9}-q^{11}+\cdots\)
5456.2.a.h	$5456$	$2$	5456.a	1.a	$1$	$1$	$1$	$43.566$	\(\Q\)	None	✓		682.2.a.a	$1$	$1$	\(0\)	\(2\)	\(0\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{7}+q^{9}+q^{11}-4q^{13}+\cdots\)
5456.2.a.i	$5456$	$2$	5456.a	1.a	$1$	$1$	$1$	$43.566$	\(\Q\)	None	✓		1364.2.a.a	$1$	$1$	\(0\)	\(2\)	\(1\)	\(-1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{5}-q^{7}+q^{9}+q^{11}+2q^{15}+\cdots\)
5456.2.a.j	$5456$	$2$	5456.a	1.a	$1$	$2$	$2$	$43.566$	\(\Q(\sqrt{13}) \)	None	✓		1364.2.a.d	$1$	$1$	\(0\)	\(-2\)	\(1\)	\(3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(1-\beta )q^{5}+(2-\beta )q^{7}-2q^{9}+\cdots\)
5456.2.a.k	$5456$	$2$	5456.a	1.a	$1$	$2$	$2$	$43.566$	\(\Q(\sqrt{3}) \)	None	✓		2728.2.a.h	$1$	$0$	\(0\)	\(-2\)	\(2\)	\(-4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{3}+(1-\beta )q^{5}+(-2+\beta )q^{7}+\cdots\)
5456.2.a.l	$5456$	$2$	5456.a	1.a	$1$	$2$	$2$	$43.566$	\(\Q(\sqrt{3}) \)	None	✓		682.2.a.d	$1$	$1$	\(0\)	\(-2\)	\(2\)	\(4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{3}+(1-\beta )q^{5}+(2+\beta )q^{7}+\cdots\)
5456.2.a.m	$5456$	$2$	5456.a	1.a	$1$	$2$	$2$	$43.566$	\(\Q(\sqrt{5}) \)	None	✓		1364.2.a.c	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-2\beta )q^{3}+(-1-\beta )q^{5}+\beta q^{7}+\cdots\)
5456.2.a.n	$5456$	$2$	5456.a	1.a	$1$	$2$	$2$	$43.566$	\(\Q(\sqrt{2}) \)	None	✓		682.2.a.c	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-\beta q^{5}+(-1+\beta )q^{7}-q^{9}+\cdots\)
5456.2.a.o	$5456$	$2$	5456.a	1.a	$1$	$2$	$2$	$43.566$	\(\Q(\sqrt{6}) \)	None	✓		682.2.a.e	$1$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+\beta q^{5}+(1+\beta )q^{7}+3q^{9}-q^{11}+\cdots\)
5456.2.a.p	$5456$	$2$	5456.a	1.a	$1$	$2$	$2$	$43.566$	\(\Q(\sqrt{17}) \)	None	✓		2728.2.a.g	$1$	$1$	\(0\)	\(0\)	\(3\)	\(2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{5}+q^{7}-3q^{9}-q^{11}+(2+\cdots)q^{13}+\cdots\)
5456.2.a.q	$5456$	$2$	5456.a	1.a	$1$	$2$	$2$	$43.566$	\(\Q(\sqrt{21}) \)	None	✓		2728.2.a.f	$1$	$1$	\(0\)	\(2\)	\(-3\)	\(-3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-1-\beta )q^{5}+(-2+\beta )q^{7}+\cdots\)
5456.2.a.r	$5456$	$2$	5456.a	1.a	$1$	$2$	$2$	$43.566$	\(\Q(\sqrt{5}) \)	None	✓		341.2.a.a	$1$	$0$	\(0\)	\(2\)	\(-3\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-1-\beta )q^{5}+(-2+3\beta )q^{7}+\cdots\)
5456.2.a.s	$5456$	$2$	5456.a	1.a	$1$	$3$	$3$	$43.566$	3.3.257.1	None	✓		682.2.a.f	$1$	$0$	\(0\)	\(-1\)	\(1\)	\(-5\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(\beta _{1}-\beta _{2})q^{5}+(-2+\beta _{1}+\cdots)q^{7}+\cdots\)
5456.2.a.t	$5456$	$2$	5456.a	1.a	$1$	$3$	$3$	$43.566$	3.3.169.1	None	✓		2728.2.a.i	$1$	$1$	\(0\)	\(1\)	\(1\)	\(-1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1}+\beta _{2})q^{3}+\beta _{1}q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
5456.2.a.u	$5456$	$2$	5456.a	1.a	$1$	$4$	$4$	$43.566$	4.4.2225.1	None	✓		341.2.a.b	$1$	$0$	\(0\)	\(2\)	\(-1\)	\(5\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{3}+(\beta _{1}+\beta _{2})q^{5}+(1+\beta _{1}+\cdots)q^{7}+\cdots\)
5456.2.a.v	$5456$	$2$	5456.a	1.a	$1$	$4$	$4$	$43.566$	4.4.10889.1	None	✓		682.2.a.g	$1$	$0$	\(0\)	\(3\)	\(-3\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(-\beta _{1}-\beta _{3})q^{5}+(1+\beta _{2}+\cdots)q^{7}+\cdots\)
5456.2.a.w	$5456$	$2$	5456.a	1.a	$1$	$4$	$4$	$43.566$	4.4.10889.1	None	✓		682.2.a.h	$1$	$0$	\(0\)	\(3\)	\(-1\)	\(6\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}+\beta _{3})q^{3}+(\beta _{1}+\beta _{2})q^{5}+(2+\beta _{2}+\cdots)q^{7}+\cdots\)
5456.2.a.x	$5456$	$2$	5456.a	1.a	$1$	$5$	$5$	$43.566$	5.5.356789.1	None	✓		2728.2.a.j	$1$	$1$	\(0\)	\(3\)	\(-2\)	\(-2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1}+\beta _{3})q^{3}+\beta _{3}q^{5}+(\beta _{2}-\beta _{4})q^{7}+\cdots\)
5456.2.a.y	$5456$	$2$	5456.a	1.a	$1$	$6$	$6$	$43.566$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓		682.2.a.i	$1$	$0$	\(0\)	\(-1\)	\(5\)	\(-1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(1+\beta _{3})q^{5}+\beta _{5}q^{7}+(2-\beta _{3}+\cdots)q^{9}+\cdots\)
5456.2.a.z	$5456$	$2$	5456.a	1.a	$1$	$7$	$7$	$43.566$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓		2728.2.a.k	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(-6\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+\beta _{6}q^{5}+(-1+\beta _{3}-\beta _{5}+\cdots)q^{7}+\cdots\)
5456.2.a.ba	$5456$	$2$	5456.a	1.a	$1$	$8$	$8$	$43.566$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓		341.2.a.c	$1$	$1$	\(0\)	\(-4\)	\(-5\)	\(-7\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+(-1+\beta _{4})q^{5}+(-1+\cdots)q^{7}+\cdots\)
5456.2.a.bb	$5456$	$2$	5456.a	1.a	$1$	$8$	$8$	$43.566$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓		2728.2.a.l	$1$	$1$	\(0\)	\(-1\)	\(3\)	\(-9\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+\beta _{4}q^{5}+(-1+\beta _{3})q^{7}+(1+\cdots)q^{9}+\cdots\)
5456.2.a.bc	$5456$	$2$	5456.a	1.a	$1$	$9$	$9$	$43.566$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓		2728.2.a.n	$1$	$0$	\(0\)	\(-2\)	\(9\)	\(5\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(1+\beta _{2})q^{5}+(1+\beta _{3}-\beta _{7}+\cdots)q^{7}+\cdots\)
5456.2.a.bd	$5456$	$2$	5456.a	1.a	$1$	$9$	$9$	$43.566$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓		2728.2.a.m	$1$	$0$	\(0\)	\(0\)	\(-3\)	\(6\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}-\beta _{3}q^{5}+(1-\beta _{2}-\beta _{3}+\beta _{4}+\cdots)q^{7}+\cdots\)
5456.2.a.be	$5456$	$2$	5456.a	1.a	$1$	$10$	$10$	$43.566$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓		1364.2.a.f	$1$	$0$	\(0\)	\(-2\)	\(6\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(1-\beta _{5})q^{5}-\beta _{2}q^{7}+(2+\beta _{4}+\cdots)q^{9}+\cdots\)
5456.2.a.bf	$5456$	$2$	5456.a	1.a	$1$	$10$	$10$	$43.566$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓		1364.2.a.e	$1$	$0$	\(0\)	\(2\)	\(2\)	\(-4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-\beta _{8}q^{5}+\beta _{7}q^{7}+(2-\beta _{3}+\cdots)q^{9}+\cdots\)
5456.2.a.bg	$5456$	$2$	5456.a	1.a	$1$	$10$	$10$	$43.566$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓		2728.2.a.o	$1$	$0$	\(0\)	\(4\)	\(0\)	\(3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+\beta _{6}q^{5}-\beta _{8}q^{7}+(1+2\beta _{1}+\cdots)q^{9}+\cdots\)
5456.2.a.bh	$5456$	$2$	5456.a	1.a	$1$	$11$	$11$	$43.566$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓		341.2.a.d	$1$	$1$	\(0\)	\(-4\)	\(3\)	\(-5\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{6}q^{3}-\beta _{2}q^{5}+\beta _{7}q^{7}+(3+\beta _{2}+\cdots)q^{9}+\cdots\)
5456.2.a.bi	$5456$	$2$	5456.a	1.a	$1$	$12$	$12$	$43.566$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓		2728.2.a.p	$1$	$0$	\(0\)	\(-2\)	\(2\)	\(-2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-\beta _{6}q^{5}+\beta _{11}q^{7}+(1+\beta _{2}+\cdots)q^{9}+\cdots\)