Newform search results

Results (24 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	37
2738.2.a.a	$2738$	$2$	2738.a	1.a	$1$	$1$	$1$	$21.863$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-2\)	\(3\)	\(-4\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}+3q^{5}+2q^{6}-4q^{7}+\cdots\)
2738.2.a.b	$2738$	$2$	2738.a	1.a	$1$	$1$	$1$	$21.863$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(2\)	\(-1\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2q^{3}+q^{4}-q^{5}-2q^{6}-q^{8}+\cdots\)
2738.2.a.c	$2738$	$2$	2738.a	1.a	$1$	$1$	$1$	$21.863$	\(\Q\)	None	✓	$1$	$2$	\(1\)	\(-2\)	\(-3\)	\(-4\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-2q^{3}+q^{4}-3q^{5}-2q^{6}-4q^{7}+\cdots\)
2738.2.a.d	$2738$	$2$	2738.a	1.a	$1$	$1$	$1$	$21.863$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(2\)	\(1\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+2q^{3}+q^{4}+q^{5}+2q^{6}+q^{8}+\cdots\)
2738.2.a.e	$2738$	$2$	2738.a	1.a	$1$	$2$	$2$	$21.863$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(-2\)	\(-2\)	\(0\)	\(-4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-1+\beta )q^{3}+q^{4}+\beta q^{5}+(1+\cdots)q^{6}+\cdots\)
2738.2.a.f	$2738$	$2$	2738.a	1.a	$1$	$2$	$2$	$21.863$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(-2\)	\(-2\)	\(0\)	\(8\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-1+\beta )q^{3}+q^{4}+\beta q^{5}+(1+\cdots)q^{6}+\cdots\)
2738.2.a.g	$2738$	$2$	2738.a	1.a	$1$	$2$	$2$	$21.863$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-2\)	\(-1\)	\(-1\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta q^{3}+q^{4}+(1-3\beta )q^{5}+\beta q^{6}+\cdots\)
2738.2.a.h	$2738$	$2$	2738.a	1.a	$1$	$2$	$2$	$21.863$	\(\Q(\sqrt{21}) \)	None	✓	$1$	$0$	\(-2\)	\(1\)	\(3\)	\(-4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta q^{3}+q^{4}+(1+\beta )q^{5}-\beta q^{6}+\cdots\)
2738.2.a.i	$2738$	$2$	2738.a	1.a	$1$	$2$	$2$	$21.863$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(2\)	\(-2\)	\(0\)	\(-4\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta )q^{3}+q^{4}-\beta q^{5}+(-1+\cdots)q^{6}+\cdots\)
2738.2.a.j	$2738$	$2$	2738.a	1.a	$1$	$2$	$2$	$21.863$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(2\)	\(-2\)	\(0\)	\(8\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta )q^{3}+q^{4}-\beta q^{5}+(-1+\cdots)q^{6}+\cdots\)
2738.2.a.k	$2738$	$2$	2738.a	1.a	$1$	$2$	$2$	$21.863$	\(\Q(\sqrt{21}) \)	None	✓	$1$	$1$	\(2\)	\(1\)	\(-3\)	\(-4\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta q^{3}+q^{4}+(-1-\beta )q^{5}+\beta q^{6}+\cdots\)
2738.2.a.l	$2738$	$2$	2738.a	1.a	$1$	$2$	$2$	$21.863$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(2\)	\(3\)	\(1\)	\(2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1+\beta )q^{3}+q^{4}+\beta q^{5}+(1+\beta )q^{6}+\cdots\)
2738.2.a.m	$2738$	$2$	2738.a	1.a	$1$	$3$	$3$	$21.863$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$1$	\(-3\)	\(0\)	\(-6\)	\(3\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}+(-2-\beta _{2})q^{5}+\cdots\)
2738.2.a.n	$2738$	$2$	2738.a	1.a	$1$	$3$	$3$	$21.863$	3.3.404.1	None	✓	$1$	$1$	\(-3\)	\(0\)	\(-1\)	\(0\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{2}q^{3}+q^{4}+\beta _{1}q^{5}+\beta _{2}q^{6}+\cdots\)
2738.2.a.o	$2738$	$2$	2738.a	1.a	$1$	$3$	$3$	$21.863$	3.3.404.1	None	✓	$1$	$0$	\(3\)	\(0\)	\(1\)	\(0\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{2}q^{3}+q^{4}-\beta _{1}q^{5}-\beta _{2}q^{6}+\cdots\)
2738.2.a.p	$2738$	$2$	2738.a	1.a	$1$	$3$	$3$	$21.863$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$0$	\(3\)	\(0\)	\(6\)	\(3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{1}q^{3}+q^{4}+(2+\beta _{2})q^{5}-\beta _{1}q^{6}+\cdots\)
2738.2.a.q	$2738$	$2$	2738.a	1.a	$1$	$6$	$6$	$21.863$	6.6.37902897.1	None	✓	$1$	$1$	\(-6\)	\(0\)	\(0\)	\(-3\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{3}q^{5}+\beta _{1}q^{6}+\cdots\)
2738.2.a.r	$2738$	$2$	2738.a	1.a	$1$	$6$	$6$	$21.863$	\(\Q(\zeta_{36})^+\)	None	✓	$1$	$0$	\(-6\)	\(0\)	\(6\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(\beta _{2}+\beta _{4})q^{3}+q^{4}+(1+\beta _{3}+\cdots)q^{5}+\cdots\)
2738.2.a.s	$2738$	$2$	2738.a	1.a	$1$	$6$	$6$	$21.863$	\(\Q(\zeta_{36})^+\)	None	✓	$1$	$1$	\(6\)	\(0\)	\(-6\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(\beta _{2}+\beta _{4})q^{3}+q^{4}+(-1-\beta _{3}+\cdots)q^{5}+\cdots\)
2738.2.a.t	$2738$	$2$	2738.a	1.a	$1$	$6$	$6$	$21.863$	6.6.37902897.1	None	✓	$1$	$0$	\(6\)	\(0\)	\(0\)	\(-3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{3}q^{5}-\beta _{1}q^{6}+\cdots\)
2738.2.a.u	$2738$	$2$	2738.a	1.a	$1$	$9$	$9$	$21.863$	\(\Q(\zeta_{38})^+\)	None	✓	$1$	$1$	\(-9\)	\(-7\)	\(7\)	\(-14\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-1+\beta _{1}-\beta _{4})q^{3}+q^{4}+(1+\cdots)q^{5}+\cdots\)
2738.2.a.v	$2738$	$2$	2738.a	1.a	$1$	$9$	$9$	$21.863$	\(\Q(\zeta_{38})^+\)	None	✓	$1$	$1$	\(9\)	\(-7\)	\(-7\)	\(-14\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta _{1}-\beta _{4})q^{3}+q^{4}+(-1+\cdots)q^{5}+\cdots\)
2738.2.a.w	$2738$	$2$	2738.a	1.a	$1$	$18$	$18$	$21.863$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$0$	\(-18\)	\(8\)	\(-9\)	\(18\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1-\beta _{1}+\beta _{12})q^{3}+q^{4}+(-1+\cdots)q^{5}+\cdots\)
2738.2.a.x	$2738$	$2$	2738.a	1.a	$1$	$18$	$18$	$21.863$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$0$	\(18\)	\(8\)	\(9\)	\(18\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1-\beta _{1}+\beta _{12})q^{3}+q^{4}+(1+\cdots)q^{5}+\cdots\)