Newform search results

Results (25 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	7	29
5684.2.a.a	$5684$	$2$	5684.a	1.a	$1$	$1$	$1$	$45.387$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+6q^{9}+2q^{11}-2q^{17}-q^{19}+\cdots\)
5684.2.a.b	$5684$	$2$	5684.a	1.a	$1$	$1$	$1$	$45.387$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-3\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-3q^{5}+q^{9}-q^{13}+6q^{15}+\cdots\)
5684.2.a.c	$5684$	$2$	5684.a	1.a	$1$	$1$	$1$	$45.387$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(2\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+2q^{5}+q^{9}-6q^{11}-2q^{13}+\cdots\)
5684.2.a.d	$5684$	$2$	5684.a	1.a	$1$	$1$	$1$	$45.387$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-3\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-3q^{5}-2q^{9}+3q^{11}-5q^{13}+\cdots\)
5684.2.a.e	$5684$	$2$	5684.a	1.a	$1$	$1$	$1$	$45.387$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-1\)	\(-1\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}-2q^{9}-5q^{11}-2q^{13}+\cdots\)
5684.2.a.f	$5684$	$2$	5684.a	1.a	$1$	$1$	$1$	$45.387$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(3\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+3q^{5}-2q^{9}-q^{11}+2q^{13}+\cdots\)
5684.2.a.g	$5684$	$2$	5684.a	1.a	$1$	$1$	$1$	$45.387$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-3\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-3q^{5}-2q^{9}-q^{11}-2q^{13}+\cdots\)
5684.2.a.h	$5684$	$2$	5684.a	1.a	$1$	$1$	$1$	$45.387$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(1\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}-2q^{9}-5q^{11}+2q^{13}+\cdots\)
5684.2.a.i	$5684$	$2$	5684.a	1.a	$1$	$1$	$1$	$45.387$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(1\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}-2q^{9}+q^{11}-q^{13}+q^{15}+\cdots\)
5684.2.a.j	$5684$	$2$	5684.a	1.a	$1$	$1$	$1$	$45.387$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(2\)	\(3\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+3q^{5}+q^{9}+q^{13}+6q^{15}+\cdots\)
5684.2.a.k	$5684$	$2$	5684.a	1.a	$1$	$1$	$1$	$45.387$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(-3\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-3q^{5}+6q^{9}-q^{11}+3q^{13}+\cdots\)
5684.2.a.l	$5684$	$2$	5684.a	1.a	$1$	$2$	$2$	$45.387$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-\beta q^{5}-q^{9}+6q^{11}+\beta q^{13}+\cdots\)
5684.2.a.m	$5684$	$2$	5684.a	1.a	$1$	$2$	$2$	$45.387$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$1$	\(0\)	\(2\)	\(1\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(1-\beta )q^{5}-2q^{9}+(1+\beta )q^{11}+\cdots\)
5684.2.a.n	$5684$	$2$	5684.a	1.a	$1$	$4$	$4$	$45.387$	\(\Q(\zeta_{24})^+\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(\beta _{1}+\beta _{3})q^{5}+(-1+\beta _{2}+\cdots)q^{9}+\cdots\)
5684.2.a.o	$5684$	$2$	5684.a	1.a	$1$	$4$	$4$	$45.387$	\(\Q(\zeta_{24})^+\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-\beta _{1}-2\beta _{3})q^{5}+(-1+\beta _{2}+\cdots)q^{9}+\cdots\)
5684.2.a.p	$5684$	$2$	5684.a	1.a	$1$	$4$	$4$	$45.387$	\(\Q(\sqrt{3}, \sqrt{11})\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+(\beta _{1}-\beta _{2})q^{5}+(-1-\beta _{3})q^{11}+\cdots\)
5684.2.a.q	$5684$	$2$	5684.a	1.a	$1$	$4$	$4$	$45.387$	4.4.17428.1	None	✓	$1$	$0$	\(0\)	\(3\)	\(1\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+\beta _{2}q^{5}+(1-2\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
5684.2.a.r	$5684$	$2$	5684.a	1.a	$1$	$6$	$6$	$45.387$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(1\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+\beta _{4}q^{5}+(2+\beta _{2})q^{9}+\cdots\)
5684.2.a.s	$5684$	$2$	5684.a	1.a	$1$	$6$	$6$	$45.387$	6.6.1255606272.1	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-\beta _{2}q^{5}+(3+\beta _{3}-\beta _{4})q^{9}+\cdots\)
5684.2.a.t	$5684$	$2$	5684.a	1.a	$1$	$7$	$7$	$45.387$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(5\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}-\beta _{2}+\beta _{3})q^{3}+(1+\beta _{2})q^{5}+\cdots\)
5684.2.a.u	$5684$	$2$	5684.a	1.a	$1$	$7$	$7$	$45.387$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(-5\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}+\beta _{2}-\beta _{3})q^{3}+(-1-\beta _{2})q^{5}+\cdots\)
5684.2.a.v	$5684$	$2$	5684.a	1.a	$1$	$8$	$8$	$45.387$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-1+\beta _{2})q^{5}+(1-\beta _{2}+\beta _{3}+\cdots)q^{9}+\cdots\)
5684.2.a.w	$5684$	$2$	5684.a	1.a	$1$	$8$	$8$	$45.387$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(1-\beta _{2})q^{5}+(1-\beta _{2}+\beta _{3}+\cdots)q^{9}+\cdots\)
5684.2.a.x	$5684$	$2$	5684.a	1.a	$1$	$10$	$10$	$45.387$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+\beta _{5}q^{5}+(1+\beta _{2})q^{9}+(1+\beta _{6}+\cdots)q^{11}+\cdots\)
5684.2.a.y	$5684$	$2$	5684.a	1.a	$1$	$12$	$12$	$45.387$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-\beta _{9}q^{5}+(2+\beta _{2})q^{9}+(-2+\cdots)q^{11}+\cdots\)