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Results (9 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	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	3	503
6036.2.a.a	$6036$	$2$	6036.a	1.a	$1$	$1$	$1$	$48.198$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-3\)	\(3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-3q^{5}+3q^{7}+q^{9}+6q^{11}+\cdots\)
6036.2.a.b	$6036$	$2$	6036.a	1.a	$1$	$1$	$1$	$48.198$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(3\)	\(1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+3q^{5}+q^{7}+q^{9}-2q^{11}-5q^{13}+\cdots\)
6036.2.a.c	$6036$	$2$	6036.a	1.a	$1$	$1$	$1$	$48.198$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(1\)	\(-3\)	\(-5\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-3q^{5}-5q^{7}+q^{9}-6q^{11}+\cdots\)
6036.2.a.d	$6036$	$2$	6036.a	1.a	$1$	$1$	$1$	$48.198$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-1\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+q^{7}+q^{9}+6q^{11}+3q^{13}+\cdots\)
6036.2.a.e	$6036$	$2$	6036.a	1.a	$1$	$1$	$1$	$48.198$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(1\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+q^{7}+q^{9}-2q^{11}+3q^{13}+\cdots\)
6036.2.a.f	$6036$	$2$	6036.a	1.a	$1$	$14$	$14$	$48.198$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-14\)	\(-6\)	\(-7\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-\beta _{1}q^{5}+\beta _{2}q^{7}+q^{9}+\beta _{3}q^{11}+\cdots\)
6036.2.a.g	$6036$	$2$	6036.a	1.a	$1$	$15$	$15$	$48.198$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(15\)	\(-11\)	\(-4\)		$-$	$-$	$+$	$+$	$3$	$\mathrm{SU}(2)$	\(q+q^{3}+(-1+\beta _{1})q^{5}-\beta _{8}q^{7}+q^{9}+\cdots\)
6036.2.a.h	$6036$	$2$	6036.a	1.a	$1$	$24$	$24$	$48.198$		None	✓	$1$	$0$	\(0\)	\(24\)	\(18\)	\(9\)		$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
6036.2.a.i	$6036$	$2$	6036.a	1.a	$1$	$26$	$26$	$48.198$		None	✓	$1$	$0$	\(0\)	\(-26\)	\(6\)	\(5\)		$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$