Newform search results

Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (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	5	7	71
4970.2.a.g	$4970$	$2$	4970.a	1.a	$1$	$1$	$1$	$39.686$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(-1\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-3q^{9}+\cdots\)
4970.2.a.h	$4970$	$2$	4970.a	1.a	$1$	$1$	$1$	$39.686$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(-1\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-3q^{9}+\cdots\)
4970.2.a.i	$4970$	$2$	4970.a	1.a	$1$	$1$	$1$	$39.686$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(-1\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-3q^{9}+\cdots\)
4970.2.a.k	$4970$	$2$	4970.a	1.a	$1$	$1$	$1$	$39.686$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(2\)	\(1\)	\(-1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+2q^{3}+q^{4}+q^{5}+2q^{6}-q^{7}+\cdots\)
4970.2.a.o	$4970$	$2$	4970.a	1.a	$1$	$4$	$4$	$39.686$	4.4.133593.1	None	✓	$1$	$0$	\(-4\)	\(1\)	\(4\)	\(4\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}+q^{5}-\beta _{1}q^{6}+\cdots\)
4970.2.a.q	$4970$	$2$	4970.a	1.a	$1$	$5$	$5$	$39.686$	5.5.729621.1	None	✓	$1$	$0$	\(-5\)	\(5\)	\(5\)	\(5\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1-\beta _{1})q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
4970.2.a.w	$4970$	$2$	4970.a	1.a	$1$	$7$	$7$	$39.686$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(7\)	\(-2\)	\(-7\)	\(-7\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-\beta _{1}+\beta _{2})q^{3}+q^{4}-q^{5}+\cdots\)
4970.2.a.y	$4970$	$2$	4970.a	1.a	$1$	$8$	$8$	$39.686$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(-8\)	\(4\)	\(8\)	\(-8\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1-\beta _{1})q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
4970.2.a.z	$4970$	$2$	4970.a	1.a	$1$	$9$	$9$	$39.686$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(9\)	\(4\)	\(-9\)	\(9\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
4970.2.a.ba	$4970$	$2$	4970.a	1.a	$1$	$11$	$11$	$39.686$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(-11\)	\(2\)	\(-11\)	\(11\)		$+$	$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
4970.2.a.bb	$4970$	$2$	4970.a	1.a	$1$	$11$	$11$	$39.686$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(11\)	\(-2\)	\(11\)	\(-11\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{1}q^{3}+q^{4}+q^{5}-\beta _{1}q^{6}+\cdots\)
4970.2.a.bc	$4970$	$2$	4970.a	1.a	$1$	$12$	$12$	$39.686$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(-12\)	\(0\)	\(-12\)	\(-12\)		$+$	$+$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
4970.2.a.bd	$4970$	$2$	4970.a	1.a	$1$	$13$	$13$	$39.686$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$0$	\(13\)	\(6\)	\(13\)	\(13\)		$-$	$-$	$-$	$+$	$-$	$2^{2}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)