Newform search results

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

Results (8 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	13
1690.4.a.b	$1690$	$4$	1690.a	1.a	$1$	$1$	$1$	$99.713$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(-5\)	\(5\)	\(7\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-5q^{3}+4q^{4}+5q^{5}+10q^{6}+\cdots\)
1690.4.a.c	$1690$	$4$	1690.a	1.a	$1$	$1$	$1$	$99.713$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(-4\)	\(5\)	\(8\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-4q^{3}+4q^{4}+5q^{5}+8q^{6}+\cdots\)
1690.4.a.d	$1690$	$4$	1690.a	1.a	$1$	$1$	$1$	$99.713$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(-2\)	\(5\)	\(-5\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-2q^{3}+4q^{4}+5q^{5}+4q^{6}+\cdots\)
1690.4.a.f	$1690$	$4$	1690.a	1.a	$1$	$1$	$1$	$99.713$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(4\)	\(5\)	\(23\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{3}+4q^{4}+5q^{5}-8q^{6}+\cdots\)
1690.4.a.g	$1690$	$4$	1690.a	1.a	$1$	$1$	$1$	$99.713$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(5\)	\(5\)	\(-19\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+5q^{3}+4q^{4}+5q^{5}-10q^{6}+\cdots\)
1690.4.a.n	$1690$	$4$	1690.a	1.a	$1$	$2$	$2$	$99.713$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(-4\)	\(-2\)	\(10\)	\(10\)		$+$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-2q^{2}+(-1+\beta )q^{3}+4q^{4}+5q^{5}+\cdots\)
1690.4.a.o	$1690$	$4$	1690.a	1.a	$1$	$2$	$2$	$99.713$	\(\Q(\sqrt{51}) \)	None	✓	$1$	$1$	\(-4\)	\(2\)	\(10\)	\(-16\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+(1+\beta )q^{3}+4q^{4}+5q^{5}+(-2+\cdots)q^{6}+\cdots\)
1690.4.a.bi	$1690$	$4$	1690.a	1.a	$1$	$9$	$9$	$99.713$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(-18\)	\(1\)	\(45\)	\(-3\)		$+$	$-$	$+$	$-$	$13^{2}$	$\mathrm{SU}(2)$	\(q-2q^{2}-\beta _{2}q^{3}+4q^{4}+5q^{5}+2\beta _{2}q^{6}+\cdots\)