Newform search results

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

Results (16 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	17	59
8024.2.a.a	$8024$	$2$	8024.a	1.a	$1$	$1$	$1$	$64.072$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(1\)	\(-1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+q^{5}-q^{7}+6q^{9}+4q^{13}+\cdots\)
8024.2.a.b	$8024$	$2$	8024.a	1.a	$1$	$1$	$1$	$64.072$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-3\)	\(-3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-3q^{5}-3q^{7}-2q^{9}-4q^{11}+\cdots\)
8024.2.a.c	$8024$	$2$	8024.a	1.a	$1$	$1$	$1$	$64.072$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-3\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-3q^{5}+q^{7}-2q^{9}-4q^{11}+\cdots\)
8024.2.a.g	$8024$	$2$	8024.a	1.a	$1$	$1$	$1$	$64.072$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(3\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+3q^{5}+q^{7}-2q^{9}-4q^{11}+\cdots\)
8024.2.a.i	$8024$	$2$	8024.a	1.a	$1$	$1$	$1$	$64.072$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-3q^{9}+2q^{11}-6q^{13}-q^{17}+\cdots\)
8024.2.a.j	$8024$	$2$	8024.a	1.a	$1$	$1$	$1$	$64.072$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(1\)	\(-1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}-q^{7}-2q^{9}+4q^{11}+2q^{13}+\cdots\)
8024.2.a.l	$8024$	$2$	8024.a	1.a	$1$	$1$	$1$	$64.072$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(-2\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-2q^{5}+2q^{7}+q^{9}+2q^{13}+\cdots\)
8024.2.a.m	$8024$	$2$	8024.a	1.a	$1$	$1$	$1$	$64.072$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(2\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+2q^{5}-2q^{7}+q^{9}+3q^{11}+\cdots\)
8024.2.a.o	$8024$	$2$	8024.a	1.a	$1$	$1$	$1$	$64.072$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(1\)	\(-1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+q^{5}-q^{7}+6q^{9}-6q^{11}+\cdots\)
8024.2.a.p	$8024$	$2$	8024.a	1.a	$1$	$2$	$2$	$64.072$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-3\)	\(-3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(-2+\beta )q^{5}+(-2+\beta )q^{7}+\cdots\)
8024.2.a.q	$8024$	$2$	8024.a	1.a	$1$	$2$	$2$	$64.072$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-1\)	\(-3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-\beta q^{5}+(-2+\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
8024.2.a.r	$8024$	$2$	8024.a	1.a	$1$	$2$	$2$	$64.072$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(2\)	\(-4\)	\(0\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+q^{3}+(-2-\beta )q^{5}+\beta q^{7}-2q^{9}+\cdots\)
8024.2.a.w	$8024$	$2$	8024.a	1.a	$1$	$20$	$20$	$64.072$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-2\)	\(5\)		$-$	$-$	$+$	$+$	$2^{8}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+\beta _{17}q^{5}+\beta _{15}q^{7}+\beta _{2}q^{9}+\cdots\)
8024.2.a.x	$8024$	$2$	8024.a	1.a	$1$	$22$	$22$	$64.072$		None	✓	$1$	$1$	\(0\)	\(-3\)	\(3\)	\(0\)		$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
8024.2.a.y	$8024$	$2$	8024.a	1.a	$1$	$23$	$23$	$64.072$		None	✓	$1$	$1$	\(0\)	\(-6\)	\(0\)	\(-1\)		$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
8024.2.a.z	$8024$	$2$	8024.a	1.a	$1$	$24$	$24$	$64.072$		None	✓	$1$	$1$	\(0\)	\(-5\)	\(-7\)	\(-12\)		$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$