Newform search results

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

Results (12 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	7	11
8624.2.a.b	$8624$	$2$	8624.a	1.a	$1$	$1$	$1$	$68.863$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(2\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+2q^{5}+6q^{9}+q^{11}-7q^{13}+\cdots\)
8624.2.a.k	$8624$	$2$	8624.a	1.a	$1$	$1$	$1$	$68.863$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{9}+q^{11}-q^{13}-6q^{17}+\cdots\)
8624.2.a.l	$8624$	$2$	8624.a	1.a	$1$	$1$	$1$	$68.863$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{9}+q^{11}+5q^{13}+6q^{17}+\cdots\)
8624.2.a.bd	$8624$	$2$	8624.a	1.a	$1$	$1$	$1$	$68.863$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(-4\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-4q^{5}+6q^{9}+q^{11}-q^{13}+\cdots\)
8624.2.a.bs	$8624$	$2$	8624.a	1.a	$1$	$2$	$2$	$68.863$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-3\beta q^{5}-q^{9}+q^{11}-6q^{15}+\cdots\)
8624.2.a.bv	$8624$	$2$	8624.a	1.a	$1$	$2$	$2$	$68.863$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+\beta q^{5}-q^{9}+q^{11}+2q^{15}+\cdots\)
8624.2.a.bw	$8624$	$2$	8624.a	1.a	$1$	$2$	$2$	$68.863$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+\beta q^{5}-q^{9}+q^{11}+2\beta q^{13}+\cdots\)
8624.2.a.bx	$8624$	$2$	8624.a	1.a	$1$	$2$	$2$	$68.863$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2\beta q^{3}-\beta q^{5}+5q^{9}+q^{11}+\beta q^{13}+\cdots\)
8624.2.a.bz	$8624$	$2$	8624.a	1.a	$1$	$2$	$2$	$68.863$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2\beta q^{3}+5q^{9}+q^{11}-3\beta q^{13}+2\beta q^{17}+\cdots\)
8624.2.a.ci	$8624$	$2$	8624.a	1.a	$1$	$3$	$3$	$68.863$	3.3.321.1	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-2\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+(-\beta _{1}+\beta _{2})q^{5}+(1-\beta _{1}+\cdots)q^{9}+\cdots\)
8624.2.a.cl	$8624$	$2$	8624.a	1.a	$1$	$3$	$3$	$68.863$	3.3.257.1	None	✓	$1$	$1$	\(0\)	\(1\)	\(-2\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-1+\beta _{1}-\beta _{2})q^{5}+\beta _{2}q^{9}+\cdots\)
8624.2.a.cs	$8624$	$2$	8624.a	1.a	$1$	$4$	$4$	$68.863$	\(\Q(\zeta_{24})^+\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-2\beta _{1}-\beta _{3})q^{5}+(-1+\beta _{2}+\cdots)q^{9}+\cdots\)