Newform search results

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

Results (10 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
7168.2.a.b	$7168$	$2$	7168.a	1.a	$1$	$2$	$2$	$57.237$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2\beta q^{5}-q^{7}-3q^{9}-\beta q^{11}+2q^{17}+\cdots\)
7168.2.a.d	$7168$	$2$	7168.a	1.a	$1$	$2$	$2$	$57.237$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-2\beta q^{5}-q^{7}-q^{9}+2\beta q^{11}+\cdots\)
7168.2.a.f	$7168$	$2$	7168.a	1.a	$1$	$2$	$2$	$57.237$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+2\beta q^{5}-q^{7}-q^{9}+4\beta q^{11}+\cdots\)
7168.2.a.g	$7168$	$2$	7168.a	1.a	$1$	$2$	$2$	$57.237$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+2\beta q^{5}-q^{7}-q^{9}-2\beta q^{11}+\cdots\)
7168.2.a.h	$7168$	$2$	7168.a	1.a	$1$	$2$	$2$	$57.237$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2\beta q^{3}+\beta q^{5}-q^{7}+5q^{9}-4\beta q^{11}+\cdots\)
7168.2.a.s	$7168$	$2$	7168.a	1.a	$1$	$4$	$4$	$57.237$	4.4.4352.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(-4\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}+\beta _{3})q^{3}+(-1-\beta _{2}+\beta _{3})q^{5}+\cdots\)
7168.2.a.y	$7168$	$2$	7168.a	1.a	$1$	$6$	$6$	$57.237$	6.6.12781568.1	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-6\)		$+$	$+$	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q-\beta _{4}q^{3}+(\beta _{2}+\beta _{4})q^{5}-q^{7}+(3+\beta _{5})q^{9}+\cdots\)
7168.2.a.ba	$7168$	$2$	7168.a	1.a	$1$	$8$	$8$	$57.237$	8.8.9433055232.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-8\)	\(-8\)		$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{5}q^{3}+(-1-\beta _{2})q^{5}-q^{7}+(2+\beta _{1}+\cdots)q^{9}+\cdots\)
7168.2.a.bc	$7168$	$2$	7168.a	1.a	$1$	$8$	$8$	$57.237$	8.8.\(\cdots\).1	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-8\)		$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{7}q^{3}-\beta _{3}q^{5}-q^{7}+(1+\beta _{2})q^{9}+\cdots\)
7168.2.a.bg	$7168$	$2$	7168.a	1.a	$1$	$12$	$12$	$57.237$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-8\)	\(0\)	\(-12\)		$+$	$+$	$+$	$2^{7}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+\beta _{5}q^{5}-q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots\)