Newform search results

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

Results (15 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
1600.2.a.a	$1600$	$2$	1600.a	1.a	$1$	$1$	$1$	$12.776$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-2q^{7}+6q^{9}-q^{11}+4q^{13}+\cdots\)
1600.2.a.b	$1600$	$2$	1600.a	1.a	$1$	$1$	$1$	$12.776$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(-2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-2q^{7}+6q^{9}+q^{11}-4q^{13}+\cdots\)
1600.2.a.c	$1600$	$2$	1600.a	1.a	$1$	$1$	$1$	$12.776$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-2q^{7}+q^{9}+2q^{13}+6q^{17}+\cdots\)
1600.2.a.d	$1600$	$2$	1600.a	1.a	$1$	$1$	$1$	$12.776$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+2q^{7}+q^{9}-4q^{11}+4q^{13}+\cdots\)
1600.2.a.e	$1600$	$2$	1600.a	1.a	$1$	$1$	$1$	$12.776$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+2q^{7}+q^{9}+4q^{11}-6q^{13}+\cdots\)
1600.2.a.h	$1600$	$2$	1600.a	1.a	$1$	$1$	$1$	$12.776$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{7}-2q^{9}+5q^{11}-5q^{17}+\cdots\)
1600.2.a.l	$1600$	$2$	1600.a	1.a	$1$	$1$	$1$	$12.776$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-3q^{9}-4q^{13}+8q^{17}-10q^{29}+\cdots\)
1600.2.a.m	$1600$	$2$	1600.a	1.a	$1$	$1$	$1$	$12.776$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-3q^{9}+4q^{13}-8q^{17}-10q^{29}+\cdots\)
1600.2.a.o	$1600$	$2$	1600.a	1.a	$1$	$1$	$1$	$12.776$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(4\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{7}-3q^{9}-4q^{11}-2q^{13}-2q^{17}+\cdots\)
1600.2.a.p	$1600$	$2$	1600.a	1.a	$1$	$1$	$1$	$12.776$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(-2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{7}-2q^{9}-3q^{11}+4q^{13}+\cdots\)
1600.2.a.q	$1600$	$2$	1600.a	1.a	$1$	$1$	$1$	$12.776$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{7}-2q^{9}+3q^{11}-4q^{13}+\cdots\)
1600.2.a.r	$1600$	$2$	1600.a	1.a	$1$	$1$	$1$	$12.776$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{7}-2q^{9}-5q^{11}-5q^{17}+\cdots\)
1600.2.a.t	$1600$	$2$	1600.a	1.a	$1$	$1$	$1$	$12.776$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-2q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots\)
1600.2.a.u	$1600$	$2$	1600.a	1.a	$1$	$1$	$1$	$12.776$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(-2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-2q^{7}+q^{9}-4q^{11}-4q^{13}+\cdots\)
1600.2.a.ba	$1600$	$2$	1600.a	1.a	$1$	$2$	$2$	$12.776$	\(\Q(\sqrt{5}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+2\beta q^{7}+2q^{9}-\beta q^{11}-4q^{13}+\cdots\)