Newform search results

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

Results (13 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	83
5312.2.a.d	$5312$	$2$	5312.a	1.a	$1$	$1$	$1$	$42.417$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-1\)	\(0\)	\(-3\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-3q^{7}-2q^{9}-q^{11}-6q^{13}+\cdots\)
5312.2.a.l	$5312$	$2$	5312.a	1.a	$1$	$1$	$1$	$42.417$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(2\)	\(-3\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}-3q^{7}-2q^{9}-3q^{11}+\cdots\)
5312.2.a.n	$5312$	$2$	5312.a	1.a	$1$	$1$	$1$	$42.417$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(2\)	\(1\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}+q^{7}-2q^{9}+5q^{11}+\cdots\)
5312.2.a.p	$5312$	$2$	5312.a	1.a	$1$	$1$	$1$	$42.417$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(4\)	\(-5\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+4q^{5}-5q^{7}+6q^{9}+3q^{11}+\cdots\)
5312.2.a.t	$5312$	$2$	5312.a	1.a	$1$	$2$	$2$	$42.417$	\(\Q(\sqrt{7}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(1+\beta )q^{5}+\beta q^{7}+4q^{9}+(-2+\cdots)q^{11}+\cdots\)
5312.2.a.w	$5312$	$2$	5312.a	1.a	$1$	$2$	$2$	$42.417$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(-1\)	\(-1\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2\beta q^{3}-\beta q^{5}+(-1+\beta )q^{7}+(1+4\beta )q^{9}+\cdots\)
5312.2.a.y	$5312$	$2$	5312.a	1.a	$1$	$3$	$3$	$42.417$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(0\)	\(-4\)	\(-2\)	\(8\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{3}+2\beta _{2}q^{5}+(2+\beta _{1}+\cdots)q^{7}+\cdots\)
5312.2.a.z	$5312$	$2$	5312.a	1.a	$1$	$3$	$3$	$42.417$	3.3.229.1	None	✓	$1$	$0$	\(0\)	\(-1\)	\(1\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}+\beta _{2})q^{3}-\beta _{2}q^{5}+(1-2\beta _{1}+\cdots)q^{7}+\cdots\)
5312.2.a.bc	$5312$	$2$	5312.a	1.a	$1$	$3$	$3$	$42.417$	3.3.148.1	None	✓	$1$	$0$	\(0\)	\(1\)	\(4\)	\(5\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(1+\beta _{1}+2\beta _{2})q^{5}+(2-\beta _{1}+\cdots)q^{7}+\cdots\)
5312.2.a.bh	$5312$	$2$	5312.a	1.a	$1$	$4$	$4$	$42.417$	4.4.15529.1	None	✓	$1$	$0$	\(0\)	\(3\)	\(0\)	\(3\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(1-\beta _{1}-\beta _{3})q^{7}+(1+\cdots)q^{9}+\cdots\)
5312.2.a.bp	$5312$	$2$	5312.a	1.a	$1$	$6$	$6$	$42.417$	6.6.905177.1	None	✓	$1$	$0$	\(0\)	\(3\)	\(4\)	\(-5\)		$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{3}+(1-\beta _{2}-\beta _{3})q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
5312.2.a.br	$5312$	$2$	5312.a	1.a	$1$	$8$	$8$	$42.417$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-7\)	\(1\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-1-\beta _{7})q^{5}-\beta _{2}q^{7}+(2+\cdots)q^{9}+\cdots\)
5312.2.a.bv	$5312$	$2$	5312.a	1.a	$1$	$11$	$11$	$42.417$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-5\)	\(10\)		$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-\beta _{3}q^{5}+(1+\beta _{10})q^{7}+(2+\cdots)q^{9}+\cdots\)