Newform search results

Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (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	19
1216.4.a.c	$1216$	$4$	1216.a	1.a	$1$	$1$	$1$	$71.746$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(8\)	\(17\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+8q^{5}+17q^{7}-26q^{9}-70q^{11}+\cdots\)
1216.4.a.i	$1216$	$4$	1216.a	1.a	$1$	$2$	$2$	$71.746$	\(\Q(\sqrt{93}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(4\)	\(-44\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}+(2+2\beta )q^{5}+(-22-\beta )q^{7}+\cdots\)
1216.4.a.j	$1216$	$4$	1216.a	1.a	$1$	$2$	$2$	$71.746$	\(\Q(\sqrt{177}) \)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-10\)	\(57\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+(-6+2\beta )q^{5}+(28+\beta )q^{7}+\cdots\)
1216.4.a.m	$1216$	$4$	1216.a	1.a	$1$	$2$	$2$	$71.746$	\(\Q(\sqrt{57}) \)	None	✓	$1$	$1$	\(0\)	\(1\)	\(5\)	\(-6\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(3-\beta )q^{5}+(-5+4\beta )q^{7}+\cdots\)
1216.4.a.o	$1216$	$4$	1216.a	1.a	$1$	$2$	$2$	$71.746$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$1$	\(0\)	\(5\)	\(5\)	\(-30\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(3-\beta )q^{3}+5\beta q^{5}+(-17+4\beta )q^{7}+\cdots\)
1216.4.a.r	$1216$	$4$	1216.a	1.a	$1$	$3$	$3$	$71.746$	3.3.7057.1	None	✓	$1$	$1$	\(0\)	\(-4\)	\(-7\)	\(7\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{3}+(-2-2\beta _{1}-\beta _{2})q^{5}+\cdots\)
1216.4.a.s	$1216$	$4$	1216.a	1.a	$1$	$3$	$3$	$71.746$	3.3.3144.1	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-14\)	\(-35\)		$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}+(-4+\beta _{1}-\beta _{2})q^{5}+(-11+\cdots)q^{7}+\cdots\)
1216.4.a.y	$1216$	$4$	1216.a	1.a	$1$	$5$	$5$	$71.746$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-6\)	\(-5\)	\(-7\)		$+$	$-$	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{3}+(-1+\beta _{2}-\beta _{3})q^{5}+\cdots\)
1216.4.a.bc	$1216$	$4$	1216.a	1.a	$1$	$5$	$5$	$71.746$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(-27\)	\(20\)		$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(1+\beta _{3})q^{3}+(-5+\beta _{1})q^{5}+(5-\beta _{1}+\cdots)q^{7}+\cdots\)