Newform search results

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

Results (10 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	23
1840.2.a.a	$1840$	$2$	1840.a	1.a	$1$	$1$	$1$	$14.692$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(-1\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-q^{5}-2q^{7}+6q^{9}-3q^{13}+\cdots\)
1840.2.a.b	$1840$	$2$	1840.a	1.a	$1$	$1$	$1$	$14.692$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-1\)	\(2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}+2q^{7}-2q^{9}+q^{13}+q^{15}+\cdots\)
1840.2.a.e	$1840$	$2$	1840.a	1.a	$1$	$1$	$1$	$14.692$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+q^{7}-3q^{9}-6q^{11}+6q^{13}+\cdots\)
1840.2.a.g	$1840$	$2$	1840.a	1.a	$1$	$1$	$1$	$14.692$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}-2q^{9}-2q^{11}-5q^{13}+\cdots\)
1840.2.a.l	$1840$	$2$	1840.a	1.a	$1$	$2$	$2$	$14.692$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(2\)	\(-1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+q^{5}+(-1+\beta )q^{7}+(-2+\beta )q^{9}+\cdots\)
1840.2.a.m	$1840$	$2$	1840.a	1.a	$1$	$2$	$2$	$14.692$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(2\)	\(-1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+q^{5}+(-1+\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
1840.2.a.p	$1840$	$2$	1840.a	1.a	$1$	$2$	$2$	$14.692$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(2\)	\(-2\)	\(2\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+(1+\beta )q^{7}-2q^{9}+(1-\beta )q^{11}+\cdots\)
1840.2.a.q	$1840$	$2$	1840.a	1.a	$1$	$3$	$3$	$14.692$	3.3.229.1	None	✓	$1$	$1$	\(0\)	\(-2\)	\(3\)	\(-7\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{3}+q^{5}+(-2+\beta _{2})q^{7}+\cdots\)
1840.2.a.r	$1840$	$2$	1840.a	1.a	$1$	$3$	$3$	$14.692$	3.3.1101.1	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-3\)	\(-3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-q^{5}+(-1+\beta _{1}+\beta _{2})q^{7}+\cdots\)
1840.2.a.t	$1840$	$2$	1840.a	1.a	$1$	$3$	$3$	$14.692$	3.3.621.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(-3\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-q^{5}+(-1-\beta _{1})q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)