Newform search results

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

Results (9 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		7	11	13
1001.2.a.a	$1001$	$2$	1001.a	1.a	$1$	$1$	$1$	$7.993$	\(\Q\)	None	✓	$1$	$2$	\(-2\)	\(-3\)	\(-3\)	\(-1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+2q^{4}-3q^{5}+6q^{6}+\cdots\)
1001.2.a.b	$1001$	$2$	1001.a	1.a	$1$	$1$	$1$	$7.993$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-2\)	\(-1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}-2q^{5}-q^{7}+3q^{8}-3q^{9}+\cdots\)
1001.2.a.d	$1001$	$2$	1001.a	1.a	$1$	$2$	$2$	$7.993$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(3\)	\(3\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-2\beta )q^{2}+(2-\beta )q^{3}+3q^{4}+(1+\cdots)q^{5}+\cdots\)
1001.2.a.e	$1001$	$2$	1001.a	1.a	$1$	$2$	$2$	$7.993$	\(\Q(\sqrt{21}) \)	None	✓	$1$	$0$	\(2\)	\(1\)	\(-1\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1-\beta )q^{3}-q^{4}-\beta q^{5}+(1-\beta )q^{6}+\cdots\)
1001.2.a.f	$1001$	$2$	1001.a	1.a	$1$	$3$	$3$	$7.993$	3.3.1101.1	None	✓	$1$	$0$	\(3\)	\(-1\)	\(1\)	\(-3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{1}q^{3}-q^{4}+(1-\beta _{1}+\beta _{2})q^{5}+\cdots\)
1001.2.a.g	$1001$	$2$	1001.a	1.a	$1$	$4$	$4$	$7.993$	4.4.23301.1	None	✓	$1$	$0$	\(-2\)	\(-1\)	\(-5\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{3})q^{2}-\beta _{1}q^{3}+(2-\beta _{2})q^{4}+\cdots\)
1001.2.a.l	$1001$	$2$	1001.a	1.a	$1$	$7$	$7$	$7.993$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(6\)	\(9\)	\(-7\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{5}q^{2}+(1-\beta _{1})q^{3}+(4+\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots\)
1001.2.a.m	$1001$	$2$	1001.a	1.a	$1$	$8$	$8$	$7.993$	8.8.3212905625.1	None	✓	$1$	$0$	\(2\)	\(-1\)	\(-5\)	\(-8\)		$+$	$+$	$-$	$-$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	\(q+\beta _{7}q^{2}-\beta _{2}q^{3}+(2-\beta _{3})q^{4}+(-1+\cdots)q^{5}+\cdots\)
1001.2.a.n	$1001$	$2$	1001.a	1.a	$1$	$11$	$11$	$7.993$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(2\)	\(7\)	\(11\)		$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{8}q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{4}+\cdots)q^{5}+\cdots\)