Newform search results

Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (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	3
5184.2.a.d	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(0\)	\(-3\)	\(-2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{5}-2q^{7}-6q^{11}-5q^{13}-3q^{17}+\cdots\)
5184.2.a.f	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-3\)	\(1\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{5}+q^{7}+3q^{11}+q^{13}+6q^{17}+\cdots\)
5184.2.a.h	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-3\)	\(4\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{5}+4q^{7}+q^{13}+3q^{17}-4q^{19}+\cdots\)
5184.2.a.l	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+4q^{11}+5q^{13}+5q^{17}+8q^{19}+\cdots\)
5184.2.a.o	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{7}-3q^{11}-2q^{13}-3q^{17}-q^{19}+\cdots\)
5184.2.a.u	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-4q^{11}+5q^{13}-5q^{17}+8q^{19}+\cdots\)
5184.2.a.x	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+3q^{7}+5q^{11}+5q^{13}-2q^{17}+\cdots\)
5184.2.a.z	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(3\)	\(-2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{5}-2q^{7}+6q^{11}-5q^{13}+3q^{17}+\cdots\)
5184.2.a.bd	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(3\)	\(4\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{5}+4q^{7}+q^{13}-3q^{17}-4q^{19}+\cdots\)
5184.2.a.bk	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	\(\Q(\sqrt{6}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{5}-\beta q^{7}+\beta q^{11}-3q^{13}+5q^{17}+\cdots\)
5184.2.a.bm	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	\(\Q(\sqrt{3}) \)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$+$	$-$	$2$	$N(\mathrm{U}(1))$	\(q+(-1+\beta )q^{5}+(3+\beta )q^{13}+(-1+2\beta )q^{17}+\cdots\)
5184.2.a.bs	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(-3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+(-2+\beta )q^{7}+q^{11}+(-2+\cdots)q^{13}+\cdots\)
5184.2.a.bv	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	\(\Q(\sqrt{6}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{5}-\beta q^{7}-\beta q^{11}-3q^{13}-5q^{17}+\cdots\)
5184.2.a.bw	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	\(\Q(\sqrt{3}) \)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$-$	$+$	$-$	$2$	$N(\mathrm{U}(1))$	\(q+(1+\beta )q^{5}+(3-\beta )q^{13}+(1+2\beta )q^{17}+\cdots\)
5184.2.a.bx	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+\beta q^{7}+\beta q^{11}+3q^{13}+4q^{17}+\cdots\)
5184.2.a.cf	$5184$	$2$	5184.a	1.a	$1$	$4$	$4$	$41.394$	4.4.13068.1	None	✓	$2$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$-$	$+$	$-$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{5}+\beta _{3}q^{7}+\beta _{2}q^{11}+(-1+\cdots)q^{13}+\cdots\)