Newform search results

Results (26 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	11	13
6292.2.a.a	$6292$	$2$	6292.a	1.a	$1$	$1$	$1$	$50.242$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-3\)	\(-1\)	\(-4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-q^{5}-4q^{7}+6q^{9}-q^{13}+\cdots\)
6292.2.a.b	$6292$	$2$	6292.a	1.a	$1$	$1$	$1$	$50.242$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(-1\)	\(4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-q^{5}+4q^{7}+6q^{9}+q^{13}+\cdots\)
6292.2.a.c	$6292$	$2$	6292.a	1.a	$1$	$1$	$1$	$50.242$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(-4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-4q^{7}-2q^{9}-q^{13}+5q^{17}+\cdots\)
6292.2.a.d	$6292$	$2$	6292.a	1.a	$1$	$1$	$1$	$50.242$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(0\)	\(4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+4q^{7}-2q^{9}+q^{13}-5q^{17}+\cdots\)
6292.2.a.e	$6292$	$2$	6292.a	1.a	$1$	$1$	$1$	$50.242$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(4\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+4q^{5}-2q^{9}-q^{13}-4q^{15}+\cdots\)
6292.2.a.f	$6292$	$2$	6292.a	1.a	$1$	$1$	$1$	$50.242$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(4\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+4q^{5}-2q^{9}+q^{13}-4q^{15}+\cdots\)
6292.2.a.g	$6292$	$2$	6292.a	1.a	$1$	$1$	$1$	$50.242$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+2q^{7}-3q^{9}+q^{13}-6q^{17}+\cdots\)
6292.2.a.h	$6292$	$2$	6292.a	1.a	$1$	$1$	$1$	$50.242$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(-4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-4q^{7}-2q^{9}+q^{13}+3q^{17}+\cdots\)
6292.2.a.i	$6292$	$2$	6292.a	1.a	$1$	$1$	$1$	$50.242$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+4q^{7}-2q^{9}-q^{13}-3q^{17}+\cdots\)
6292.2.a.j	$6292$	$2$	6292.a	1.a	$1$	$1$	$1$	$50.242$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(3\)	\(-2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+3q^{5}-2q^{7}-2q^{9}-q^{13}+\cdots\)
6292.2.a.k	$6292$	$2$	6292.a	1.a	$1$	$2$	$2$	$50.242$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{3}+(2-\beta )q^{7}+(1+3\beta )q^{9}+\cdots\)
6292.2.a.l	$6292$	$2$	6292.a	1.a	$1$	$2$	$2$	$50.242$	\(\Q(\sqrt{7}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(-2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(-1+\beta )q^{5}+(-1-\beta )q^{7}+\cdots\)
6292.2.a.m	$6292$	$2$	6292.a	1.a	$1$	$2$	$2$	$50.242$	\(\Q(\sqrt{7}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(-1+\beta )q^{5}+(1+\beta )q^{7}+4q^{9}+\cdots\)
6292.2.a.n	$6292$	$2$	6292.a	1.a	$1$	$2$	$2$	$50.242$	\(\Q(\sqrt{21}) \)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-4\)	\(-3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-2q^{5}+(-1-\beta )q^{7}+(2+\beta )q^{9}+\cdots\)
6292.2.a.o	$6292$	$2$	6292.a	1.a	$1$	$2$	$2$	$50.242$	\(\Q(\sqrt{21}) \)	None	✓	$1$	$0$	\(0\)	\(1\)	\(4\)	\(-5\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+2q^{5}+(-3+\beta )q^{7}+(2+\beta )q^{9}+\cdots\)
6292.2.a.p	$6292$	$2$	6292.a	1.a	$1$	$3$	$3$	$50.242$	3.3.229.1	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-1\)	\(7\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{3}+(\beta _{1}+\beta _{2})q^{5}+(2+2\beta _{1}+\cdots)q^{7}+\cdots\)
6292.2.a.q	$6292$	$2$	6292.a	1.a	$1$	$4$	$4$	$50.242$	4.4.725.1	None	✓	$1$	$1$	\(0\)	\(2\)	\(-2\)	\(-6\)		$-$	$+$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-1-\beta _{1}-\beta _{3})q^{5}+(-2+\cdots)q^{7}+\cdots\)
6292.2.a.r	$6292$	$2$	6292.a	1.a	$1$	$4$	$4$	$50.242$	4.4.725.1	None	✓	$1$	$0$	\(0\)	\(2\)	\(-2\)	\(6\)		$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-1-\beta _{1}-\beta _{3})q^{5}+(2+\beta _{1}+\cdots)q^{7}+\cdots\)
6292.2.a.s	$6292$	$2$	6292.a	1.a	$1$	$5$	$5$	$50.242$	5.5.223824.1	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(-2\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{4}q^{3}-\beta _{3}q^{5}-\beta _{1}q^{7}+(-\beta _{2}+\beta _{4})q^{9}+\cdots\)
6292.2.a.t	$6292$	$2$	6292.a	1.a	$1$	$5$	$5$	$50.242$	5.5.223824.1	None	✓	$1$	$0$	\(0\)	\(-1\)	\(0\)	\(2\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{4}q^{3}-\beta _{3}q^{5}+\beta _{1}q^{7}+(-\beta _{2}+\beta _{4})q^{9}+\cdots\)
6292.2.a.u	$6292$	$2$	6292.a	1.a	$1$	$10$	$10$	$50.242$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-6\)	\(-4\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-1+\beta _{6})q^{5}-\beta _{4}q^{7}+(1+\cdots)q^{9}+\cdots\)
6292.2.a.v	$6292$	$2$	6292.a	1.a	$1$	$10$	$10$	$50.242$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-6\)	\(4\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-1+\beta _{6})q^{5}+\beta _{4}q^{7}+(1+\cdots)q^{9}+\cdots\)
6292.2.a.w	$6292$	$2$	6292.a	1.a	$1$	$10$	$10$	$50.242$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(-7\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-1+\beta _{9})q^{5}+(-\beta _{1}+\beta _{8}+\cdots)q^{7}+\cdots\)
6292.2.a.x	$6292$	$2$	6292.a	1.a	$1$	$10$	$10$	$50.242$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(-7\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-1+\beta _{9})q^{5}+(\beta _{1}-\beta _{8}+\cdots)q^{7}+\cdots\)
6292.2.a.y	$6292$	$2$	6292.a	1.a	$1$	$14$	$14$	$50.242$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(9\)	\(-3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(1-\beta _{11})q^{5}+(\beta _{5}-\beta _{8})q^{7}+\cdots\)
6292.2.a.z	$6292$	$2$	6292.a	1.a	$1$	$14$	$14$	$50.242$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(9\)	\(3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(1-\beta _{11})q^{5}+(-\beta _{5}+\beta _{8}+\cdots)q^{7}+\cdots\)