Newform search results

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

Results (17 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	5
1440.4.a.a	$1440$	$4$	1440.a	1.a	$1$	$1$	$1$	$84.963$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-5\)	\(-32\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-5q^{5}-2^{5}q^{7}+2^{6}q^{11}-6q^{13}+\cdots\)
1440.4.a.c	$1440$	$4$	1440.a	1.a	$1$	$1$	$1$	$84.963$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-5\)	\(-16\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-5q^{5}-2^{4}q^{7}+24q^{11}-14q^{13}+\cdots\)
1440.4.a.f	$1440$	$4$	1440.a	1.a	$1$	$1$	$1$	$84.963$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-5\)	\(4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-5q^{5}+4q^{7}+40q^{11}-90q^{13}+\cdots\)
1440.4.a.g	$1440$	$4$	1440.a	1.a	$1$	$1$	$1$	$84.963$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-5\)	\(12\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-5q^{5}+12q^{7}-24q^{11}+38q^{13}+\cdots\)
1440.4.a.h	$1440$	$4$	1440.a	1.a	$1$	$1$	$1$	$84.963$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-5\)	\(16\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-5q^{5}+2^{4}q^{7}-24q^{11}-14q^{13}+\cdots\)
1440.4.a.l	$1440$	$4$	1440.a	1.a	$1$	$1$	$1$	$84.963$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(5\)	\(-12\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+5q^{5}-12q^{7}-20q^{11}-58q^{13}+\cdots\)
1440.4.a.m	$1440$	$4$	1440.a	1.a	$1$	$1$	$1$	$84.963$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(5\)	\(-8\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+5q^{5}-8q^{7}-4q^{11}-6q^{13}+2q^{17}+\cdots\)
1440.4.a.o	$1440$	$4$	1440.a	1.a	$1$	$1$	$1$	$84.963$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(5\)	\(6\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+5q^{5}+6q^{7}-60q^{11}+50q^{13}+\cdots\)
1440.4.a.q	$1440$	$4$	1440.a	1.a	$1$	$1$	$1$	$84.963$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(5\)	\(12\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+5q^{5}+12q^{7}+20q^{11}-58q^{13}+\cdots\)
1440.4.a.u	$1440$	$4$	1440.a	1.a	$1$	$2$	$2$	$84.963$	\(\Q(\sqrt{65}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(-10\)	\(0\)		$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-5q^{5}-\beta q^{7}+\beta q^{11}-8q^{13}+26q^{17}+\cdots\)
1440.4.a.v	$1440$	$4$	1440.a	1.a	$1$	$2$	$2$	$84.963$	\(\Q(\sqrt{10}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(-10\)	\(0\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-5q^{5}+3\beta q^{7}+2\beta q^{11}+38q^{13}+\cdots\)
1440.4.a.x	$1440$	$4$	1440.a	1.a	$1$	$2$	$2$	$84.963$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-10\)	\(8\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-5q^{5}+(4+5\beta )q^{7}+(-2^{5}+6\beta )q^{11}+\cdots\)
1440.4.a.ba	$1440$	$4$	1440.a	1.a	$1$	$2$	$2$	$84.963$	\(\Q(\sqrt{201}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(10\)	\(-4\)		$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+5q^{5}+(-2-\beta )q^{7}+20q^{11}+(-12+\cdots)q^{13}+\cdots\)
1440.4.a.bc	$1440$	$4$	1440.a	1.a	$1$	$2$	$2$	$84.963$	\(\Q(\sqrt{65}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(10\)	\(0\)		$+$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+5q^{5}-\beta q^{7}-\beta q^{11}-8q^{13}-26q^{17}+\cdots\)
1440.4.a.bd	$1440$	$4$	1440.a	1.a	$1$	$2$	$2$	$84.963$	\(\Q(\sqrt{13}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(10\)	\(0\)		$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+5q^{5}-\beta q^{7}+6\beta q^{11}+34q^{13}+\cdots\)
1440.4.a.bh	$1440$	$4$	1440.a	1.a	$1$	$3$	$3$	$84.963$	3.3.16773.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-15\)	\(-14\)		$-$	$+$	$+$	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q-5q^{5}+(-5+\beta _{1})q^{7}+(7+2\beta _{1}+\beta _{2})q^{11}+\cdots\)
1440.4.a.bj	$1440$	$4$	1440.a	1.a	$1$	$3$	$3$	$84.963$	3.3.16773.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(15\)	\(-14\)		$+$	$+$	$-$	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q+5q^{5}+(-5+\beta _{1})q^{7}+(-7-2\beta _{1}+\cdots)q^{11}+\cdots\)