Newform search results

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

Results (15 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	5	7
490.6.a.c	$490$	$6$	490.a	1.a	$1$	$1$	$1$	$78.588$	\(\Q\)	None	✓	$1$	$1$	\(-4\)	\(-11\)	\(25\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}-11q^{3}+2^{4}q^{4}+5^{2}q^{5}+44q^{6}+\cdots\)
490.6.a.d	$490$	$6$	490.a	1.a	$1$	$1$	$1$	$78.588$	\(\Q\)	None	✓	$1$	$1$	\(-4\)	\(-5\)	\(-25\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}-5q^{3}+2^{4}q^{4}-5^{2}q^{5}+20q^{6}+\cdots\)
490.6.a.e	$490$	$6$	490.a	1.a	$1$	$1$	$1$	$78.588$	\(\Q\)	None	✓	$1$	$1$	\(-4\)	\(3\)	\(25\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+3q^{3}+2^{4}q^{4}+5^{2}q^{5}-12q^{6}+\cdots\)
490.6.a.f	$490$	$6$	490.a	1.a	$1$	$1$	$1$	$78.588$	\(\Q\)	None	✓	$1$	$1$	\(-4\)	\(5\)	\(25\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+5q^{3}+2^{4}q^{4}+5^{2}q^{5}-20q^{6}+\cdots\)
490.6.a.j	$490$	$6$	490.a	1.a	$1$	$1$	$1$	$78.588$	\(\Q\)	None	✓	$1$	$1$	\(-4\)	\(26\)	\(25\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+26q^{3}+2^{4}q^{4}+5^{2}q^{5}-104q^{6}+\cdots\)
490.6.a.m	$490$	$6$	490.a	1.a	$1$	$1$	$1$	$78.588$	\(\Q\)	None	✓	$1$	$1$	\(4\)	\(17\)	\(-25\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}+17q^{3}+2^{4}q^{4}-5^{2}q^{5}+68q^{6}+\cdots\)
490.6.a.o	$490$	$6$	490.a	1.a	$1$	$2$	$2$	$78.588$	\(\Q(\sqrt{337}) \)	None	✓	$1$	$1$	\(-8\)	\(-20\)	\(50\)	\(0\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-4q^{2}+(-10-\beta )q^{3}+2^{4}q^{4}+5^{2}q^{5}+\cdots\)
490.6.a.p	$490$	$6$	490.a	1.a	$1$	$2$	$2$	$78.588$	\(\Q(\sqrt{79}) \)	None	✓	$1$	$1$	\(-8\)	\(-6\)	\(50\)	\(0\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-4q^{2}+(-3+\beta )q^{3}+2^{4}q^{4}+5^{2}q^{5}+\cdots\)
490.6.a.q	$490$	$6$	490.a	1.a	$1$	$2$	$2$	$78.588$	\(\Q(\sqrt{79}) \)	None	✓	$1$	$1$	\(-8\)	\(6\)	\(-50\)	\(0\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-4q^{2}+(3+\beta )q^{3}+2^{4}q^{4}-5^{2}q^{5}+\cdots\)
490.6.a.t	$490$	$6$	490.a	1.a	$1$	$2$	$2$	$78.588$	\(\Q(\sqrt{46}) \)	None	✓	$1$	$1$	\(8\)	\(-18\)	\(-50\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}+(-9+\beta )q^{3}+2^{4}q^{4}-5^{2}q^{5}+\cdots\)
490.6.a.u	$490$	$6$	490.a	1.a	$1$	$2$	$2$	$78.588$	\(\Q(\sqrt{1129}) \)	None	✓	$1$	$1$	\(8\)	\(-5\)	\(-50\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}+(-2-\beta )q^{3}+2^{4}q^{4}-5^{2}q^{5}+\cdots\)
490.6.a.w	$490$	$6$	490.a	1.a	$1$	$2$	$2$	$78.588$	\(\Q(\sqrt{46}) \)	None	✓	$1$	$1$	\(8\)	\(18\)	\(50\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}+(9+\beta )q^{3}+2^{4}q^{4}+5^{2}q^{5}+\cdots\)
490.6.a.y	$490$	$6$	490.a	1.a	$1$	$3$	$3$	$78.588$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(12\)	\(2\)	\(-75\)	\(0\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+4q^{2}+(1-\beta _{1})q^{3}+2^{4}q^{4}-5^{2}q^{5}+\cdots\)
490.6.a.z	$490$	$6$	490.a	1.a	$1$	$4$	$4$	$78.588$	\(\Q(\sqrt{2}, \sqrt{193})\)	None	✓	$1$	$1$	\(16\)	\(-40\)	\(100\)	\(0\)		$-$	$-$	$+$	$+$	$2^{2}\cdot 7$	$\mathrm{SU}(2)$	\(q+4q^{2}+(-10-\beta _{1})q^{3}+2^{4}q^{4}+5^{2}q^{5}+\cdots\)
490.6.a.be	$490$	$6$	490.a	1.a	$1$	$6$	$6$	$78.588$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$1$	\(-24\)	\(4\)	\(-150\)	\(0\)		$+$	$+$	$+$	$+$	$2^{2}\cdot 7^{5}$	$\mathrm{SU}(2)$	\(q-4q^{2}+(1+\beta _{2})q^{3}+2^{4}q^{4}-5^{2}q^{5}+\cdots\)