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

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	17
2312.4.a.c	$2312$	$4$	2312.a	1.a	$1$	$3$	$3$	$136.412$	3.3.1556.1	None	✓	$1$	$1$	\(0\)	\(-8\)	\(-2\)	\(-12\)		$-$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(-3+\beta _{2})q^{3}+(-1+\beta _{1})q^{5}+(-4+\cdots)q^{7}+\cdots\)
2312.4.a.d	$2312$	$4$	2312.a	1.a	$1$	$3$	$3$	$136.412$	3.3.8396.1	None	✓	$1$	$1$	\(0\)	\(4\)	\(8\)	\(2\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1-\beta _{2})q^{3}+(3-\beta _{1}+2\beta _{2})q^{5}+(2+\cdots)q^{7}+\cdots\)
2312.4.a.f	$2312$	$4$	2312.a	1.a	$1$	$6$	$6$	$136.412$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-7\)	\(-3\)	\(-7\)		$-$	$+$	$-$	$2^{6}$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{3}+(-1+\beta _{2})q^{5}+(-1+\cdots)q^{7}+\cdots\)
2312.4.a.g	$2312$	$4$	2312.a	1.a	$1$	$6$	$6$	$136.412$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-13\)	\(-1\)		$+$	$-$	$-$	$2^{6}$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{3}+(-2+\beta _{2})q^{5}+\beta _{1}q^{7}+(10+\cdots)q^{9}+\cdots\)
2312.4.a.h	$2312$	$4$	2312.a	1.a	$1$	$6$	$6$	$136.412$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2^{7}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+\beta _{4}q^{5}+(-\beta _{1}+\beta _{2}+\beta _{4}+\cdots)q^{7}+\cdots\)
2312.4.a.m	$2312$	$4$	2312.a	1.a	$1$	$14$	$14$	$136.412$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2^{19}$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{3}+(-\beta _{1}+\beta _{9})q^{5}+(\beta _{1}+\beta _{5}+\cdots)q^{7}+\cdots\)
2312.4.a.n	$2312$	$4$	2312.a	1.a	$1$	$18$	$18$	$136.412$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-18\)	\(0\)	\(-51\)		$-$	$+$	$-$	$2^{15}\cdot 17^{2}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}-\beta _{5}q^{5}+(-3-\beta _{4}+\cdots)q^{7}+\cdots\)
2312.4.a.o	$2312$	$4$	2312.a	1.a	$1$	$18$	$18$	$136.412$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-30\)	\(-33\)		$+$	$-$	$-$	$2^{15}\cdot 3^{2}\cdot 17^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-2-\beta _{11})q^{5}+(-2-\beta _{1}+\cdots)q^{7}+\cdots\)
2312.4.a.r	$2312$	$4$	2312.a	1.a	$1$	$24$	$24$	$136.412$		None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$		$\mathrm{SU}(2)$