Newform search results

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

Results (11 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	7	11
462.4.a.a	$462$	$4$	462.a	1.a	$1$	$1$	$1$	$27.259$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(-3\)	\(-21\)	\(7\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}-21q^{5}+6q^{6}+\cdots\)
462.4.a.b	$462$	$4$	462.a	1.a	$1$	$1$	$1$	$27.259$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(-3\)	\(-14\)	\(-7\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}-14q^{5}+6q^{6}+\cdots\)
462.4.a.c	$462$	$4$	462.a	1.a	$1$	$1$	$1$	$27.259$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(-3\)	\(11\)	\(-7\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}+11q^{5}+6q^{6}+\cdots\)
462.4.a.d	$462$	$4$	462.a	1.a	$1$	$1$	$1$	$27.259$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(3\)	\(-7\)	\(7\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}-7q^{5}-6q^{6}+\cdots\)
462.4.a.e	$462$	$4$	462.a	1.a	$1$	$1$	$1$	$27.259$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(-3\)	\(-4\)	\(-7\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}-4q^{5}-6q^{6}+\cdots\)
462.4.a.f	$462$	$4$	462.a	1.a	$1$	$1$	$1$	$27.259$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(-3\)	\(1\)	\(-7\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}+q^{5}-6q^{6}+\cdots\)
462.4.a.h	$462$	$4$	462.a	1.a	$1$	$1$	$1$	$27.259$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(3\)	\(-17\)	\(7\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+3q^{3}+4q^{4}-17q^{5}+6q^{6}+\cdots\)
462.4.a.i	$462$	$4$	462.a	1.a	$1$	$1$	$1$	$27.259$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(3\)	\(-13\)	\(-7\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+3q^{3}+4q^{4}-13q^{5}+6q^{6}+\cdots\)
462.4.a.l	$462$	$4$	462.a	1.a	$1$	$2$	$2$	$27.259$	\(\Q(\sqrt{113}) \)	None	✓	$1$	$1$	\(-4\)	\(-6\)	\(14\)	\(14\)		$+$	$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}+(7-\beta )q^{5}+6q^{6}+\cdots\)
462.4.a.m	$462$	$4$	462.a	1.a	$1$	$2$	$2$	$27.259$	\(\Q(\sqrt{217}) \)	None	✓	$1$	$1$	\(-4\)	\(6\)	\(7\)	\(-14\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}+(4-\beta )q^{5}-6q^{6}+\cdots\)
462.4.a.n	$462$	$4$	462.a	1.a	$1$	$2$	$2$	$27.259$	\(\Q(\sqrt{89}) \)	None	✓	$1$	$1$	\(4\)	\(-6\)	\(-17\)	\(14\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}+(-8-\beta )q^{5}+\cdots\)