Newform search results

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

Results (15 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.a	$3136$	$2$	3136.a	1.a	$1$	$1$	$1$	$25.041$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(-1\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-q^{5}+6q^{9}-q^{11}+2q^{13}+\cdots\)
3136.2.a.c	$3136$	$2$	3136.a	1.a	$1$	$1$	$1$	$25.041$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-4\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-4q^{5}+q^{9}+8q^{15}+2q^{17}+\cdots\)
3136.2.a.f	$3136$	$2$	3136.a	1.a	$1$	$1$	$1$	$25.041$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{9}+4q^{11}-4q^{13}+2q^{17}+\cdots\)
3136.2.a.k	$3136$	$2$	3136.a	1.a	$1$	$1$	$1$	$25.041$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(3\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+3q^{5}-2q^{9}-3q^{11}+2q^{13}+\cdots\)
3136.2.a.l	$3136$	$2$	3136.a	1.a	$1$	$1$	$1$	$25.041$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(-4\)	\(0\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-4q^{5}-3q^{9}+4q^{13}+8q^{17}+11q^{25}+\cdots\)
3136.2.a.m	$3136$	$2$	3136.a	1.a	$1$	$1$	$1$	$25.041$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-2q^{5}-3q^{9}+6q^{13}-2q^{17}-q^{25}+\cdots\)
3136.2.a.o	$3136$	$2$	3136.a	1.a	$1$	$1$	$1$	$25.041$	\(\Q\)	\(\Q(\sqrt{-7}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-3q^{9}+4q^{11}-8q^{23}-5q^{25}-2q^{29}+\cdots\)
3136.2.a.p	$3136$	$2$	3136.a	1.a	$1$	$1$	$1$	$25.041$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-3q^{9}-4q^{11}+2q^{13}+6q^{17}+\cdots\)
3136.2.a.r	$3136$	$2$	3136.a	1.a	$1$	$1$	$1$	$25.041$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(4\)	\(0\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+4q^{5}-3q^{9}-4q^{13}-8q^{17}+11q^{25}+\cdots\)
3136.2.a.t	$3136$	$2$	3136.a	1.a	$1$	$1$	$1$	$25.041$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-1\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}-2q^{9}+3q^{11}-6q^{13}+\cdots\)
3136.2.a.y	$3136$	$2$	3136.a	1.a	$1$	$1$	$1$	$25.041$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{9}-4q^{11}-4q^{13}+2q^{17}+\cdots\)
3136.2.a.z	$3136$	$2$	3136.a	1.a	$1$	$1$	$1$	$25.041$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{9}-4q^{13}-6q^{17}-2q^{19}+\cdots\)
3136.2.a.bg	$3136$	$2$	3136.a	1.a	$1$	$2$	$2$	$25.041$	\(\Q(\sqrt{7}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(-6\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-3q^{5}+4q^{9}+\beta q^{11}-4q^{13}+\cdots\)
3136.2.a.bq	$3136$	$2$	3136.a	1.a	$1$	$2$	$2$	$25.041$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-\beta q^{5}+5q^{9}-4q^{11}+\beta q^{13}+\cdots\)
3136.2.a.bu	$3136$	$2$	3136.a	1.a	$1$	$2$	$2$	$25.041$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(2\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+q^{5}-3\beta q^{11}+\beta q^{15}-5q^{17}+\cdots\)