Newform search results

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

Results (8 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	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	71
994.2.a.a	$994$	$2$	994.a	1.a	$1$	$1$	$1$	$7.937$	\(\Q\)	None	✓	✓			994.2.a.a	$1$	$0$	\(-1\)	\(-2\)	\(2\)	\(-1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}+2q^{5}+2q^{6}-q^{7}+\cdots\)
994.2.a.d	$994$	$2$	994.a	1.a	$1$	$1$	$1$	$7.937$	\(\Q\)	None	✓	✓			994.2.a.d	$1$	$0$	\(-1\)	\(2\)	\(-2\)	\(1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2q^{3}+q^{4}-2q^{5}-2q^{6}+q^{7}+\cdots\)
994.2.a.f	$994$	$2$	994.a	1.a	$1$	$1$	$1$	$7.937$	\(\Q\)	None	✓	✓			994.2.a.f	$1$	$0$	\(1\)	\(-2\)	\(4\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-2q^{3}+q^{4}+4q^{5}-2q^{6}-q^{7}+\cdots\)
994.2.a.h	$994$	$2$	994.a	1.a	$1$	$2$	$2$	$7.937$	\(\Q(\sqrt{3}) \)	None	✓	✓	✓		994.2.a.h	$1$	$0$	\(-2\)	\(2\)	\(-2\)	\(-2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1+\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots\)
994.2.a.i	$994$	$2$	994.a	1.a	$1$	$3$	$3$	$7.937$	3.3.564.1	None	✓	✓	✓		994.2.a.i	$1$	$0$	\(-3\)	\(-2\)	\(4\)	\(3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(1+\beta _{1}+\cdots)q^{5}+\cdots\)
994.2.a.l	$994$	$2$	994.a	1.a	$1$	$3$	$3$	$7.937$	3.3.1944.1	None	✓	✓			994.2.a.l	$1$	$0$	\(3\)	\(0\)	\(0\)	\(-3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}-q^{7}+\cdots\)
994.2.a.m	$994$	$2$	994.a	1.a	$1$	$3$	$3$	$7.937$	3.3.316.1	None	✓	✓			994.2.a.m	$1$	$0$	\(3\)	\(6\)	\(2\)	\(-3\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}+2q^{3}+q^{4}+(1-\beta _{1})q^{5}+2q^{6}+\cdots\)
994.2.a.o	$994$	$2$	994.a	1.a	$1$	$7$	$7$	$7.937$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	✓	✓	✓	994.2.a.o	$1$	$0$	\(7\)	\(0\)	\(2\)	\(7\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{2}q^{5}-\beta _{1}q^{6}+\cdots\)