Newform search results

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

Results (11 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
3136.2.a.j	$3136$	$2$	3136.a	1.a	$1$	$1$	$1$	$25.041$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(1\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}-2q^{9}+3q^{11}+6q^{13}+\cdots\)
3136.2.a.s	$3136$	$2$	3136.a	1.a	$1$	$1$	$1$	$25.041$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-3\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-3q^{5}-2q^{9}-3q^{11}-2q^{13}+\cdots\)
3136.2.a.bc	$3136$	$2$	3136.a	1.a	$1$	$1$	$1$	$25.041$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(1\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+q^{5}+6q^{9}-q^{11}-2q^{13}+\cdots\)
3136.2.a.bh	$3136$	$2$	3136.a	1.a	$1$	$2$	$2$	$25.041$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-q^{5}+3\beta q^{11}-\beta q^{15}+5q^{17}+\cdots\)
3136.2.a.bi	$3136$	$2$	3136.a	1.a	$1$	$2$	$2$	$25.041$	\(\Q(\sqrt{2}) \)	\(\Q(\sqrt{-1}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q+\beta q^{5}-3q^{9}-\beta q^{13}+5\beta q^{17}-3q^{25}+\cdots\)
3136.2.a.bj	$3136$	$2$	3136.a	1.a	$1$	$2$	$2$	$25.041$	\(\Q(\sqrt{2}) \)	\(\Q(\sqrt{-1}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q-3\beta q^{5}-3q^{9}-5\beta q^{13}-3\beta q^{17}+\cdots\)
3136.2.a.bm	$3136$	$2$	3136.a	1.a	$1$	$2$	$2$	$25.041$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+2\beta q^{5}-q^{9}-2q^{11}+4q^{15}+\cdots\)
3136.2.a.bp	$3136$	$2$	3136.a	1.a	$1$	$2$	$2$	$25.041$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-2\beta q^{5}-q^{9}+6q^{11}+4\beta q^{13}+\cdots\)
3136.2.a.bs	$3136$	$2$	3136.a	1.a	$1$	$2$	$2$	$25.041$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2\beta q^{3}+\beta q^{5}+5q^{9}+4q^{11}+3\beta q^{13}+\cdots\)
3136.2.a.bv	$3136$	$2$	3136.a	1.a	$1$	$2$	$2$	$25.041$	\(\Q(\sqrt{7}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(6\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+3q^{5}+4q^{9}-\beta q^{11}+4q^{13}+\cdots\)
3136.2.a.bz	$3136$	$2$	3136.a	1.a	$1$	$4$	$4$	$25.041$	\(\Q(\sqrt{2}, \sqrt{5})\)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}+2\beta _{1}q^{5}+7q^{9}-\beta _{3}q^{11}+\cdots\)