Newform search results

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

Results (12 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
2592.2.a.b	$2592$	$2$	2592.a	1.a	$1$	$1$	$1$	$20.697$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-4\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}+2q^{7}-5q^{11}-2q^{13}+3q^{17}+\cdots\)
2592.2.a.c	$2592$	$2$	2592.a	1.a	$1$	$1$	$1$	$20.697$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(-2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-2q^{7}+2q^{11}+q^{13}-3q^{17}+\cdots\)
2592.2.a.f	$2592$	$2$	2592.a	1.a	$1$	$1$	$1$	$20.697$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+2q^{7}+2q^{11}+q^{13}+3q^{17}+\cdots\)
2592.2.a.h	$2592$	$2$	2592.a	1.a	$1$	$1$	$1$	$20.697$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{5}+2q^{7}+5q^{11}-2q^{13}-3q^{17}+\cdots\)
2592.2.a.n	$2592$	$2$	2592.a	1.a	$1$	$2$	$2$	$20.697$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+(1+\beta )q^{7}+(-1+\beta )q^{11}+(1+\cdots)q^{13}+\cdots\)
2592.2.a.q	$2592$	$2$	2592.a	1.a	$1$	$2$	$2$	$20.697$	\(\Q(\sqrt{3}) \)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$-$	$+$	$-$	$2$	$N(\mathrm{U}(1))$	\(q+(1+\beta )q^{5}+(-3+\beta )q^{13}+(-1-2\beta )q^{17}+\cdots\)
2592.2.a.r	$2592$	$2$	2592.a	1.a	$1$	$2$	$2$	$20.697$	\(\Q(\sqrt{6}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{5}+\beta q^{7}+\beta q^{11}+3q^{13}+5q^{17}+\cdots\)
2592.2.a.s	$2592$	$2$	2592.a	1.a	$1$	$2$	$2$	$20.697$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(1+\beta )q^{7}+(1-\beta )q^{11}+(1+2\beta )q^{13}+\cdots\)
2592.2.a.t	$2592$	$2$	2592.a	1.a	$1$	$2$	$2$	$20.697$	\(\Q(\sqrt{3}) \)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$+$	$-$	$-$	$1$	$N(\mathrm{U}(1))$	\(q+(2+\beta )q^{5}+(3+2\beta )q^{13}+(4+\beta )q^{17}+\cdots\)
2592.2.a.u	$2592$	$2$	2592.a	1.a	$1$	$4$	$4$	$20.697$	4.4.13068.1	None	✓	$2$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$+$	$-$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{5}+\beta _{3}q^{7}-\beta _{2}q^{11}+\cdots\)
2592.2.a.w	$2592$	$2$	2592.a	1.a	$1$	$4$	$4$	$20.697$	\(\Q(\sqrt{3}, \sqrt{7})\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{5}+(\beta _{1}-\beta _{2})q^{7}+(1+\beta _{3})q^{11}+\cdots\)
2592.2.a.x	$2592$	$2$	2592.a	1.a	$1$	$4$	$4$	$20.697$	4.4.13068.1	None	✓	$2$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$+$	$-$	$-$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{5}+\beta _{3}q^{7}+\beta _{2}q^{11}+(1+\cdots)q^{13}+\cdots\)