Newform search results

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

Results (18 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	3	7	11
1386.4.a.a	$1386$	$4$	1386.a	1.a	$1$	$1$	$1$	$81.777$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-18\)	\(7\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}-18q^{5}+7q^{7}-8q^{8}+\cdots\)
1386.4.a.b	$1386$	$4$	1386.a	1.a	$1$	$1$	$1$	$81.777$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-3\)	\(7\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}-3q^{5}+7q^{7}-8q^{8}+\cdots\)
1386.4.a.c	$1386$	$4$	1386.a	1.a	$1$	$1$	$1$	$81.777$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-3\)	\(7\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}-3q^{5}+7q^{7}-8q^{8}+\cdots\)
1386.4.a.f	$1386$	$4$	1386.a	1.a	$1$	$1$	$1$	$81.777$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(13\)	\(-7\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+13q^{5}-7q^{7}-8q^{8}+\cdots\)
1386.4.a.g	$1386$	$4$	1386.a	1.a	$1$	$1$	$1$	$81.777$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(14\)	\(7\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+14q^{5}+7q^{7}-8q^{8}+\cdots\)
1386.4.a.h	$1386$	$4$	1386.a	1.a	$1$	$1$	$1$	$81.777$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(17\)	\(7\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+17q^{5}+7q^{7}-8q^{8}+\cdots\)
1386.4.a.k	$1386$	$4$	1386.a	1.a	$1$	$1$	$1$	$81.777$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(1\)	\(-7\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}+q^{5}-7q^{7}+8q^{8}+\cdots\)
1386.4.a.l	$1386$	$4$	1386.a	1.a	$1$	$1$	$1$	$81.777$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(7\)	\(7\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}+7q^{5}+7q^{7}+8q^{8}+\cdots\)
1386.4.a.p	$1386$	$4$	1386.a	1.a	$1$	$2$	$2$	$81.777$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(2\)	\(14\)		$+$	$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(1+2\beta )q^{5}+7q^{7}+\cdots\)
1386.4.a.q	$1386$	$4$	1386.a	1.a	$1$	$2$	$2$	$81.777$	\(\Q(\sqrt{817}) \)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(3\)	\(-14\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(1+\beta )q^{5}-7q^{7}-8q^{8}+\cdots\)
1386.4.a.u	$1386$	$4$	1386.a	1.a	$1$	$2$	$2$	$81.777$	\(\Q(\sqrt{37}) \)	None	✓	$1$	$1$	\(4\)	\(0\)	\(-26\)	\(14\)		$-$	$-$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}+(-13-\beta )q^{5}+7q^{7}+\cdots\)
1386.4.a.w	$1386$	$4$	1386.a	1.a	$1$	$2$	$2$	$81.777$	\(\Q(\sqrt{217}) \)	None	✓	$1$	$1$	\(4\)	\(0\)	\(-7\)	\(-14\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}+(-3-\beta )q^{5}-7q^{7}+\cdots\)
1386.4.a.x	$1386$	$4$	1386.a	1.a	$1$	$2$	$2$	$81.777$	\(\Q(\sqrt{697}) \)	None	✓	$1$	$1$	\(4\)	\(0\)	\(-7\)	\(-14\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}+(-3-\beta )q^{5}-7q^{7}+\cdots\)
1386.4.a.y	$1386$	$4$	1386.a	1.a	$1$	$2$	$2$	$81.777$	\(\Q(\sqrt{177}) \)	None	✓	$1$	$1$	\(4\)	\(0\)	\(-3\)	\(14\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}+(-1-\beta )q^{5}+7q^{7}+\cdots\)
1386.4.a.z	$1386$	$4$	1386.a	1.a	$1$	$2$	$2$	$81.777$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(4\)	\(0\)	\(-2\)	\(14\)		$-$	$+$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}+(-1+2\beta )q^{5}+7q^{7}+\cdots\)
1386.4.a.bc	$1386$	$4$	1386.a	1.a	$1$	$3$	$3$	$81.777$	3.3.7636.1	None	✓	$1$	$1$	\(-6\)	\(0\)	\(-26\)	\(-21\)		$+$	$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(-9+\beta _{2})q^{5}-7q^{7}+\cdots\)
1386.4.a.be	$1386$	$4$	1386.a	1.a	$1$	$3$	$3$	$81.777$	3.3.21324.1	None	✓	$1$	$1$	\(-6\)	\(0\)	\(-8\)	\(-21\)		$+$	$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(-3+\beta _{2})q^{5}-7q^{7}+\cdots\)
1386.4.a.bj	$1386$	$4$	1386.a	1.a	$1$	$3$	$3$	$81.777$	3.3.21324.1	None	✓	$1$	$1$	\(6\)	\(0\)	\(8\)	\(-21\)		$-$	$+$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}+(3-\beta _{2})q^{5}-7q^{7}+\cdots\)