Newform search results

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

Results (10 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	7
784.6.a.e	$784$	$6$	784.a	1.a	$1$	$1$	$1$	$125.741$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-6\)	\(-4\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-6q^{3}-4q^{5}-207q^{9}+240q^{11}+\cdots\)
784.6.a.l	$784$	$6$	784.a	1.a	$1$	$1$	$1$	$125.741$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(20\)	\(74\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+20q^{3}+74q^{5}+157q^{9}-124q^{11}+\cdots\)
784.6.a.n	$784$	$6$	784.a	1.a	$1$	$1$	$1$	$125.741$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(30\)	\(-32\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+30q^{3}-2^{5}q^{5}+657q^{9}+624q^{11}+\cdots\)
784.6.a.p	$784$	$6$	784.a	1.a	$1$	$2$	$2$	$125.741$	\(\Q(\sqrt{177}) \)	None	✓	$1$	$0$	\(0\)	\(-26\)	\(62\)	\(0\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-13-\beta )q^{3}+(31+5\beta )q^{5}+(103+\cdots)q^{9}+\cdots\)
784.6.a.q	$784$	$6$	784.a	1.a	$1$	$2$	$2$	$125.741$	\(\Q(\sqrt{193}) \)	None	✓	$1$	$0$	\(0\)	\(-14\)	\(-42\)	\(0\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-7-\beta )q^{3}+(-21-5\beta )q^{5}+(-1+\cdots)q^{9}+\cdots\)
784.6.a.u	$784$	$6$	784.a	1.a	$1$	$2$	$2$	$125.741$	\(\Q(\sqrt{345}) \)	None	✓	$1$	$0$	\(0\)	\(-6\)	\(-82\)	\(0\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-3-\beta )q^{3}+(-41+3\beta )q^{5}+(111+\cdots)q^{9}+\cdots\)
784.6.a.be	$784$	$6$	784.a	1.a	$1$	$4$	$4$	$125.741$	\(\Q(\sqrt{86}, \sqrt{134})\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$2^{7}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-\beta _{2}q^{5}+(-23+\beta _{3})q^{9}+\cdots\)
784.6.a.bh	$784$	$6$	784.a	1.a	$1$	$4$	$4$	$125.741$	4.4.2732674592.1	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$2^{7}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+(\beta _{1}+2\beta _{2})q^{5}+(209-\beta _{3})q^{9}+\cdots\)
784.6.a.bl	$784$	$6$	784.a	1.a	$1$	$5$	$5$	$125.741$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(5\)	\(81\)	\(0\)		$+$	$-$	$-$	$2^{9}\cdot 7$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{3}+(2^{4}+\beta _{1}+\beta _{2})q^{5}+(78+\cdots)q^{9}+\cdots\)
784.6.a.bm	$784$	$6$	784.a	1.a	$1$	$5$	$5$	$125.741$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(13\)	\(-31\)	\(0\)		$+$	$-$	$-$	$2^{9}\cdot 7$	$\mathrm{SU}(2)$	\(q+(3-\beta _{1})q^{3}+(-6-\beta _{3})q^{5}+(47-4\beta _{1}+\cdots)q^{9}+\cdots\)