Newform search results

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

Results (14 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.c	$735$	$4$	735.a	1.a	$1$	$1$	$1$	$43.366$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(-5\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-8q^{4}-5q^{5}+9q^{9}+42q^{11}+\cdots\)
735.4.a.g	$735$	$4$	735.a	1.a	$1$	$1$	$1$	$43.366$	\(\Q\)	None	✓	$1$	$0$	\(3\)	\(-3\)	\(-5\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{2}-3q^{3}+q^{4}-5q^{5}-9q^{6}+\cdots\)
735.4.a.j	$735$	$4$	735.a	1.a	$1$	$1$	$1$	$43.366$	\(\Q\)	None	✓	$1$	$0$	\(5\)	\(3\)	\(-5\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+5q^{2}+3q^{3}+17q^{4}-5q^{5}+15q^{6}+\cdots\)
735.4.a.l	$735$	$4$	735.a	1.a	$1$	$2$	$2$	$43.366$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(-4\)	\(-6\)	\(-10\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-2+\beta )q^{2}-3q^{3}+(-2-4\beta )q^{4}+\cdots\)
735.4.a.m	$735$	$4$	735.a	1.a	$1$	$2$	$2$	$43.366$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-4\)	\(-6\)	\(10\)	\(0\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-2-\beta )q^{2}-3q^{3}+(1+4\beta )q^{4}+\cdots\)
735.4.a.o	$735$	$4$	735.a	1.a	$1$	$2$	$2$	$43.366$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(-2\)	\(6\)	\(-10\)	\(0\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}+3q^{3}+(1-2\beta )q^{4}+\cdots\)
735.4.a.q	$735$	$4$	735.a	1.a	$1$	$2$	$2$	$43.366$	\(\Q(\sqrt{41}) \)	None	✓	$1$	$0$	\(3\)	\(-6\)	\(10\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}-3q^{3}+(3+3\beta )q^{4}+5q^{5}+\cdots\)
735.4.a.s	$735$	$4$	735.a	1.a	$1$	$3$	$3$	$43.366$	3.3.4892.1	None	✓	$1$	$0$	\(3\)	\(9\)	\(-15\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+3q^{3}+(-\beta _{1}+\beta _{2})q^{4}+\cdots\)
735.4.a.v	$735$	$4$	735.a	1.a	$1$	$4$	$4$	$43.366$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(-12\)	\(20\)	\(0\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-3q^{3}+(10+\beta _{2})q^{4}+5q^{5}+\cdots\)
735.4.a.w	$735$	$4$	735.a	1.a	$1$	$4$	$4$	$43.366$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(12\)	\(-20\)	\(0\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+3q^{3}+(10+\beta _{2})q^{4}-5q^{5}+\cdots\)
735.4.a.x	$735$	$4$	735.a	1.a	$1$	$5$	$5$	$43.366$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(-15\)	\(25\)	\(0\)		$+$	$-$	$-$	$+$	$2\cdot 7$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-3q^{3}+(4+\beta _{1}+\beta _{2})q^{4}+\cdots\)
735.4.a.ba	$735$	$4$	735.a	1.a	$1$	$5$	$5$	$43.366$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(3\)	\(15\)	\(25\)	\(0\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+3q^{3}+(5+\beta _{2})q^{4}+5q^{5}+\cdots\)
735.4.a.bb	$735$	$4$	735.a	1.a	$1$	$8$	$8$	$43.366$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(2\)	\(-24\)	\(-40\)	\(0\)		$+$	$+$	$+$	$+$	$2\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-3q^{3}+(6+\beta _{1}+\beta _{2})q^{4}+\cdots\)
735.4.a.bc	$735$	$4$	735.a	1.a	$1$	$8$	$8$	$43.366$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(2\)	\(24\)	\(40\)	\(0\)		$-$	$-$	$+$	$+$	$2\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+3q^{3}+(6+\beta _{1}+\beta _{2})q^{4}+\cdots\)