Newform search results

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

Results (6 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	5
800.2.a.a	$800$	$2$	800.a	1.a	$1$	$1$	$1$	$6.388$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-2q^{7}+q^{9}+4q^{11}+6q^{13}+\cdots\)
800.2.a.b	$800$	$2$	800.a	1.a	$1$	$1$	$1$	$6.388$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{7}-2q^{9}-5q^{11}+5q^{17}+\cdots\)
800.2.a.d	$800$	$2$	800.a	1.a	$1$	$1$	$1$	$6.388$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-3q^{9}-6q^{13}-2q^{17}-10q^{29}+\cdots\)
800.2.a.e	$800$	$2$	800.a	1.a	$1$	$1$	$1$	$6.388$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-3q^{9}-4q^{13}-8q^{17}+10q^{29}+\cdots\)
800.2.a.g	$800$	$2$	800.a	1.a	$1$	$1$	$1$	$6.388$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{7}-2q^{9}-5q^{11}-5q^{17}+\cdots\)
800.2.a.j	$800$	$2$	800.a	1.a	$1$	$2$	$2$	$6.388$	\(\Q(\sqrt{5}) \)	\(\Q(\sqrt{-5}) \)	✓	$2$	$1$	\(0\)	\(-2\)	\(0\)	\(-6\)		$-$	$-$	$+$	$2$	$N(\mathrm{U}(1))$	\(q+(-1-\beta )q^{3}+(-3+\beta )q^{7}+(3+2\beta )q^{9}+\cdots\)