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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

Results (23 matches)

 

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	17	23
6256.2.a.a	$6256$	$2$	6256.a	1.a	$1$	$1$	$1$	$49.954$	\(\Q\)	None	✓				782.2.a.e	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+q^{7}+6q^{9}+2q^{11}+2q^{13}+\cdots\)
6256.2.a.b	$6256$	$2$	6256.a	1.a	$1$	$1$	$1$	$49.954$	\(\Q\)	None	✓				1564.2.a.b	$1$	$1$	\(0\)	\(-3\)	\(2\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+2q^{5}+6q^{9}+3q^{13}-6q^{15}+\cdots\)
6256.2.a.c	$6256$	$2$	6256.a	1.a	$1$	$1$	$1$	$49.954$	\(\Q\)	None	✓				782.2.a.d	$1$	$1$	\(0\)	\(-1\)	\(-4\)	\(-3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-4q^{5}-3q^{7}-2q^{9}-6q^{11}+\cdots\)
6256.2.a.d	$6256$	$2$	6256.a	1.a	$1$	$1$	$1$	$49.954$	\(\Q\)	None	✓				3128.2.a.b	$1$	$1$	\(0\)	\(-1\)	\(-2\)	\(-4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}-4q^{7}-2q^{9}-q^{13}+\cdots\)
6256.2.a.f	$6256$	$2$	6256.a	1.a	$1$	$1$	$1$	$49.954$	\(\Q\)	None	✓				782.2.a.c	$1$	$1$	\(0\)	\(0\)	\(2\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-3q^{9}+6q^{13}+q^{17}-4q^{19}+\cdots\)
6256.2.a.g	$6256$	$2$	6256.a	1.a	$1$	$1$	$1$	$49.954$	\(\Q\)	None	✓				3128.2.a.a	$1$	$1$	\(0\)	\(2\)	\(-4\)	\(4\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-4q^{5}+4q^{7}+q^{9}-2q^{11}+\cdots\)
6256.2.a.h	$6256$	$2$	6256.a	1.a	$1$	$1$	$1$	$49.954$	\(\Q\)	None	✓				782.2.a.b	$1$	$1$	\(0\)	\(2\)	\(0\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-4q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots\)
6256.2.a.i	$6256$	$2$	6256.a	1.a	$1$	$1$	$1$	$49.954$	\(\Q\)	None	✓				782.2.a.a	$1$	$1$	\(0\)	\(2\)	\(2\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+2q^{5}+q^{9}-6q^{13}+4q^{15}+\cdots\)
6256.2.a.j	$6256$	$2$	6256.a	1.a	$1$	$1$	$1$	$49.954$	\(\Q\)	None	✓				1564.2.a.a	$1$	$1$	\(0\)	\(3\)	\(0\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-2q^{7}+6q^{9}-4q^{11}-q^{13}+\cdots\)
6256.2.a.k	$6256$	$2$	6256.a	1.a	$1$	$2$	$2$	$49.954$	\(\Q(\sqrt{5}) \)	None	✓				391.2.a.a	$1$	$1$	\(0\)	\(-2\)	\(-2\)	\(2\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}+(-1-\beta )q^{5}+(1-\beta )q^{7}-2q^{9}+\cdots\)
6256.2.a.l	$6256$	$2$	6256.a	1.a	$1$	$2$	$2$	$49.954$	\(\Q(\sqrt{21}) \)	None	✓				782.2.a.g	$1$	$1$	\(0\)	\(-2\)	\(-2\)	\(3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}+(2-\beta )q^{7}-2q^{9}+(-2+\cdots)q^{11}+\cdots\)
6256.2.a.m	$6256$	$2$	6256.a	1.a	$1$	$2$	$2$	$49.954$	\(\Q(\sqrt{37}) \)	None	✓				782.2.a.i	$1$	$1$	\(0\)	\(-2\)	\(6\)	\(-3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+3q^{5}+(-2+\beta )q^{7}-2q^{9}+\cdots\)
6256.2.a.n	$6256$	$2$	6256.a	1.a	$1$	$2$	$2$	$49.954$	\(\Q(\sqrt{5}) \)	None	✓				782.2.a.f	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-2\beta )q^{3}-q^{5}+(1+\beta )q^{7}+2q^{9}+\cdots\)
6256.2.a.p	$6256$	$2$	6256.a	1.a	$1$	$2$	$2$	$49.954$	\(\Q(\sqrt{5}) \)	None	✓				3128.2.a.d	$1$	$1$	\(0\)	\(2\)	\(4\)	\(-7\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(1+2\beta )q^{5}+(-3-\beta )q^{7}-2q^{9}+\cdots\)
6256.2.a.q	$6256$	$2$	6256.a	1.a	$1$	$3$	$3$	$49.954$	3.3.169.1	None	✓				391.2.a.c	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(5\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{5}+(2+\beta _{2})q^{7}-3q^{9}+(1-\beta _{1}+\cdots)q^{11}+\cdots\)
6256.2.a.s	$6256$	$2$	6256.a	1.a	$1$	$3$	$3$	$49.954$	3.3.257.1	None	✓				391.2.a.b	$1$	$1$	\(0\)	\(6\)	\(-3\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+(-1-\beta _{2})q^{5}-\beta _{1}q^{7}+q^{9}+\cdots\)
6256.2.a.t	$6256$	$2$	6256.a	1.a	$1$	$4$	$4$	$49.954$	4.4.7625.1	None	✓				782.2.a.k	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(-5\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}+\beta _{3}q^{5}+(-1-\beta _{1})q^{7}+2q^{9}+\cdots\)
6256.2.a.v	$6256$	$2$	6256.a	1.a	$1$	$6$	$6$	$49.954$	6.6.100211904.1	None	✓		✓		1564.2.a.d	$1$	$1$	\(0\)	\(-6\)	\(2\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{3})q^{3}+(-\beta _{2}+\beta _{3})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
6256.2.a.x	$6256$	$2$	6256.a	1.a	$1$	$6$	$6$	$49.954$	6.6.298607104.1	None	✓		✓		1564.2.a.c	$1$	$1$	\(0\)	\(0\)	\(2\)	\(-2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+\beta _{1}q^{5}-\beta _{3}q^{7}-q^{9}+(-1+\cdots)q^{11}+\cdots\)
6256.2.a.ba	$6256$	$2$	6256.a	1.a	$1$	$8$	$8$	$49.954$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓				3128.2.a.e	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(9\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{3}+\beta _{2}q^{5}+(1+\beta _{1}+\beta _{3}+\beta _{6}+\cdots)q^{7}+\cdots\)
6256.2.a.bb	$6256$	$2$	6256.a	1.a	$1$	$9$	$9$	$49.954$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓				3128.2.a.g	$1$	$1$	\(0\)	\(-3\)	\(-2\)	\(3\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-\beta _{4}q^{5}+(\beta _{1}+\beta _{2})q^{7}+(1+\cdots)q^{9}+\cdots\)
6256.2.a.bf	$6256$	$2$	6256.a	1.a	$1$	$11$	$11$	$49.954$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓		✓		3128.2.a.i	$1$	$1$	\(0\)	\(-5\)	\(-10\)	\(0\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-1+\beta _{5})q^{5}+\beta _{4}q^{7}+(2+\cdots)q^{9}+\cdots\)
6256.2.a.bg	$6256$	$2$	6256.a	1.a	$1$	$12$	$12$	$49.954$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓		✓		3128.2.a.l	$1$	$1$	\(0\)	\(-3\)	\(-2\)	\(-9\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-\beta _{6}q^{5}+(-1+\beta _{3})q^{7}+(1+\cdots)q^{9}+\cdots\)