Newform search results

Results (16 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		83
6889.2.a.a	$6889$	$2$	6889.a	1.a	$1$	$1$	$1$	$55.009$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-1\)	\(2\)	\(-3\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}-q^{4}+2q^{5}-q^{6}-3q^{7}+\cdots\)
6889.2.a.b	$6889$	$2$	6889.a	1.a	$1$	$2$	$2$	$55.009$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(4\)	\(0\)	\(4\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+2q^{3}+q^{4}+2\beta q^{6}+2q^{7}+\cdots\)
6889.2.a.c	$6889$	$2$	6889.a	1.a	$1$	$3$	$3$	$55.009$	3.3.2241.1	\(\Q(\sqrt{-83}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+\beta _{1}q^{3}-2q^{4}+\beta _{2}q^{7}+(3+\beta _{1}+\beta _{2})q^{9}+\cdots\)
6889.2.a.d	$6889$	$2$	6889.a	1.a	$1$	$4$	$4$	$55.009$	4.4.23552.1	None	✓	$2$	$1$	\(0\)	\(-4\)	\(0\)	\(4\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(-1-\beta _{2})q^{3}+(3+\beta _{2})q^{4}+\cdots\)
6889.2.a.e	$6889$	$2$	6889.a	1.a	$1$	$6$	$6$	$55.009$	6.6.9059636.1	None	✓	$1$	$0$	\(-1\)	\(1\)	\(-2\)	\(3\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}+\beta _{2})q^{2}-\beta _{3}q^{3}+(1-\beta _{5})q^{4}+\cdots\)
6889.2.a.f	$6889$	$2$	6889.a	1.a	$1$	$7$	$7$	$55.009$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(-3\)	\(3\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{4}q^{3}+(1+\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
6889.2.a.g	$6889$	$2$	6889.a	1.a	$1$	$7$	$7$	$55.009$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(3\)	\(3\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-\beta _{4}q^{3}+(1+\beta _{2})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots\)
6889.2.a.h	$6889$	$2$	6889.a	1.a	$1$	$10$	$10$	$55.009$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$2$	$1$	\(0\)	\(-10\)	\(0\)	\(-6\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(-1-\beta _{3})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
6889.2.a.i	$6889$	$2$	6889.a	1.a	$1$	$24$	$24$	$55.009$		None	✓	$1$	$0$	\(-2\)	\(5\)	\(3\)	\(3\)		$-$	$-$		$\mathrm{SU}(2)$
6889.2.a.j	$6889$	$2$	6889.a	1.a	$1$	$24$	$24$	$55.009$		None	✓	$1$	$0$	\(2\)	\(5\)	\(-3\)	\(3\)		$-$	$-$		$\mathrm{SU}(2)$
6889.2.a.k	$6889$	$2$	6889.a	1.a	$1$	$42$	$42$	$55.009$		None	✓	$1$	$0$	\(-7\)	\(4\)	\(3\)	\(11\)		$-$	$-$		$\mathrm{SU}(2)$
6889.2.a.l	$6889$	$2$	6889.a	1.a	$1$	$42$	$42$	$55.009$		None	✓	$2$	$1$	\(0\)	\(-10\)	\(0\)	\(-18\)		$+$	$+$		$\mathrm{SU}(2)$
6889.2.a.m	$6889$	$2$	6889.a	1.a	$1$	$42$	$42$	$55.009$		None	✓	$1$	$0$	\(7\)	\(4\)	\(-3\)	\(11\)		$-$	$-$		$\mathrm{SU}(2)$
6889.2.a.n	$6889$	$2$	6889.a	1.a	$1$	$72$	$72$	$55.009$		None	✓	$2$	$1$	\(0\)	\(-8\)	\(0\)	\(-26\)		$+$	$+$		$\mathrm{SU}(2)$
6889.2.a.o	$6889$	$2$	6889.a	1.a	$1$	$120$	$120$	$55.009$		None	✓	$1$	$1$	\(-19\)	\(2\)	\(-38\)	\(4\)		$+$	$+$		$\mathrm{SU}(2)$
6889.2.a.p	$6889$	$2$	6889.a	1.a	$1$	$120$	$120$	$55.009$		None	✓	$1$	$0$	\(19\)	\(2\)	\(38\)	\(4\)		$-$	$-$		$\mathrm{SU}(2)$