Newform search results

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

Results (7 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	19
1216.4.a.h	$1216$	$4$	1216.a	1.a	$1$	$2$	$2$	$71.746$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$1$	\(0\)	\(-5\)	\(5\)	\(30\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-2-\beta )q^{3}+(5-5\beta )q^{5}+(13+4\beta )q^{7}+\cdots\)
1216.4.a.k	$1216$	$4$	1216.a	1.a	$1$	$2$	$2$	$71.746$	\(\Q(\sqrt{57}) \)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(5\)	\(6\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+(3-\beta )q^{5}+(5-4\beta )q^{7}+(-13+\cdots)q^{9}+\cdots\)
1216.4.a.l	$1216$	$4$	1216.a	1.a	$1$	$2$	$2$	$71.746$	\(\Q(\sqrt{177}) \)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-10\)	\(-57\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(-6+2\beta )q^{5}+(-28-\beta )q^{7}+\cdots\)
1216.4.a.u	$1216$	$4$	1216.a	1.a	$1$	$3$	$3$	$71.746$	3.3.3144.1	None	✓	$1$	$1$	\(0\)	\(1\)	\(-14\)	\(35\)		$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+(-4+\beta _{1}-\beta _{2})q^{5}+(11+\cdots)q^{7}+\cdots\)
1216.4.a.w	$1216$	$4$	1216.a	1.a	$1$	$3$	$3$	$71.746$	3.3.7057.1	None	✓	$1$	$1$	\(0\)	\(4\)	\(-7\)	\(-7\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{3}+(-2-2\beta _{1}-\beta _{2})q^{5}+\cdots\)
1216.4.a.be	$1216$	$4$	1216.a	1.a	$1$	$7$	$7$	$71.746$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-9\)	\(5\)	\(28\)		$-$	$+$	$-$	$2^{6}$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{3}+(1-\beta _{5})q^{5}+(4+\beta _{3}+\cdots)q^{7}+\cdots\)
1216.4.a.bg	$1216$	$4$	1216.a	1.a	$1$	$7$	$7$	$71.746$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(17\)	\(-42\)		$-$	$+$	$-$	$2^{6}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(2+\beta _{3})q^{5}+(-6+\beta _{2}-\beta _{5}+\cdots)q^{7}+\cdots\)