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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	7
735.4.a.a	$735$	$4$	735.a	1.a	$1$	$1$	$1$	$43.366$	\(\Q\)	None	✓	$1$	$1$	\(-4\)	\(-3\)	\(-5\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}-3q^{3}+8q^{4}-5q^{5}+12q^{6}+\cdots\)
735.4.a.b	$735$	$4$	735.a	1.a	$1$	$1$	$1$	$43.366$	\(\Q\)	None	✓	$1$	$1$	\(-4\)	\(3\)	\(5\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+3q^{3}+8q^{4}+5q^{5}-12q^{6}+\cdots\)
735.4.a.d	$735$	$4$	735.a	1.a	$1$	$1$	$1$	$43.366$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-3\)	\(-5\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-3q^{3}-7q^{4}-5q^{5}-3q^{6}+\cdots\)
735.4.a.e	$735$	$4$	735.a	1.a	$1$	$1$	$1$	$43.366$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-3\)	\(-5\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-3q^{3}-7q^{4}-5q^{5}-3q^{6}+\cdots\)
735.4.a.f	$735$	$4$	735.a	1.a	$1$	$1$	$1$	$43.366$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(3\)	\(5\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+3q^{3}-7q^{4}+5q^{5}+3q^{6}+\cdots\)
735.4.a.h	$735$	$4$	735.a	1.a	$1$	$1$	$1$	$43.366$	\(\Q\)	None	✓	$1$	$1$	\(3\)	\(3\)	\(5\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{2}+3q^{3}+q^{4}+5q^{5}+9q^{6}+\cdots\)
735.4.a.i	$735$	$4$	735.a	1.a	$1$	$1$	$1$	$43.366$	\(\Q\)	None	✓	$1$	$1$	\(3\)	\(3\)	\(5\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{2}+3q^{3}+q^{4}+5q^{5}+9q^{6}+\cdots\)
735.4.a.k	$735$	$4$	735.a	1.a	$1$	$2$	$2$	$43.366$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(-7\)	\(6\)	\(10\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-3-\beta )q^{2}+3q^{3}+(5+7\beta )q^{4}+\cdots\)
735.4.a.n	$735$	$4$	735.a	1.a	$1$	$2$	$2$	$43.366$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-4\)	\(6\)	\(10\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-2+\beta )q^{2}+3q^{3}+(-2-4\beta )q^{4}+\cdots\)
735.4.a.p	$735$	$4$	735.a	1.a	$1$	$2$	$2$	$43.366$	\(\Q(\sqrt{65}) \)	None	✓	$1$	$1$	\(1\)	\(-6\)	\(-10\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-3q^{3}+(8+\beta )q^{4}-5q^{5}-3\beta q^{6}+\cdots\)
735.4.a.r	$735$	$4$	735.a	1.a	$1$	$3$	$3$	$43.366$	3.3.4892.1	None	✓	$1$	$1$	\(3\)	\(-9\)	\(15\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}-3q^{3}+(-\beta _{1}+\beta _{2})q^{4}+\cdots\)
735.4.a.t	$735$	$4$	735.a	1.a	$1$	$4$	$4$	$43.366$	4.4.51264.1	None	✓	$1$	$1$	\(-6\)	\(-12\)	\(20\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-2+\beta _{1}+\beta _{2})q^{2}-3q^{3}+(6-\beta _{1}+\cdots)q^{4}+\cdots\)
735.4.a.u	$735$	$4$	735.a	1.a	$1$	$4$	$4$	$43.366$	4.4.51264.1	None	✓	$1$	$1$	\(-6\)	\(12\)	\(-20\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-2+\beta _{1}+\beta _{2})q^{2}+3q^{3}+(6-\beta _{1}+\cdots)q^{4}+\cdots\)
735.4.a.y	$735$	$4$	735.a	1.a	$1$	$5$	$5$	$43.366$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(-1\)	\(15\)	\(-25\)	\(0\)		$-$	$+$	$+$	$-$	$2\cdot 7$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+3q^{3}+(4+\beta _{1}+\beta _{2})q^{4}+\cdots\)
735.4.a.z	$735$	$4$	735.a	1.a	$1$	$5$	$5$	$43.366$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(3\)	\(-15\)	\(-25\)	\(0\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}-3q^{3}+(5+\beta _{2})q^{4}-5q^{5}+\cdots\)