Newform search results

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

Results (18 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.a	$1216$	$4$	1216.a	1.a	$1$	$1$	$1$	$71.746$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-5\)	\(12\)	\(-11\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-5q^{3}+12q^{5}-11q^{7}-2q^{9}-54q^{11}+\cdots\)
1216.4.a.b	$1216$	$4$	1216.a	1.a	$1$	$1$	$1$	$71.746$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(9\)	\(31\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+9q^{5}+31q^{7}-23q^{9}+57q^{11}+\cdots\)
1216.4.a.d	$1216$	$4$	1216.a	1.a	$1$	$1$	$1$	$71.746$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(8\)	\(-17\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+8q^{5}-17q^{7}-26q^{9}+70q^{11}+\cdots\)
1216.4.a.e	$1216$	$4$	1216.a	1.a	$1$	$1$	$1$	$71.746$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(2\)	\(9\)	\(-31\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+9q^{5}-31q^{7}-23q^{9}-57q^{11}+\cdots\)
1216.4.a.f	$1216$	$4$	1216.a	1.a	$1$	$1$	$1$	$71.746$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(5\)	\(12\)	\(11\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+5q^{3}+12q^{5}+11q^{7}-2q^{9}+54q^{11}+\cdots\)
1216.4.a.g	$1216$	$4$	1216.a	1.a	$1$	$2$	$2$	$71.746$	\(\Q(\sqrt{73}) \)	None	✓	$1$	$0$	\(0\)	\(-9\)	\(9\)	\(-18\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-4-\beta )q^{3}+(3+3\beta )q^{5}+(-7-4\beta )q^{7}+\cdots\)
1216.4.a.n	$1216$	$4$	1216.a	1.a	$1$	$2$	$2$	$71.746$	\(\Q(\sqrt{93}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(4\)	\(44\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+q^{3}+(2+2\beta )q^{5}+(22+\beta )q^{7}-26q^{9}+\cdots\)
1216.4.a.p	$1216$	$4$	1216.a	1.a	$1$	$2$	$2$	$71.746$	\(\Q(\sqrt{73}) \)	None	✓	$1$	$0$	\(0\)	\(9\)	\(9\)	\(18\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(5-\beta )q^{3}+(6-3\beta )q^{5}+(11-4\beta )q^{7}+\cdots\)
1216.4.a.q	$1216$	$4$	1216.a	1.a	$1$	$3$	$3$	$71.746$	3.3.3221.1	None	✓	$1$	$0$	\(0\)	\(-5\)	\(-2\)	\(35\)		$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(-2-\beta _{2})q^{3}+(-1+\beta _{1}-2\beta _{2})q^{5}+\cdots\)
1216.4.a.t	$1216$	$4$	1216.a	1.a	$1$	$3$	$3$	$71.746$	3.3.35529.1	None	✓	$1$	$0$	\(0\)	\(-1\)	\(-9\)	\(44\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}-\beta _{2})q^{3}+(-3-\beta _{2})q^{5}+(15+\cdots)q^{7}+\cdots\)
1216.4.a.v	$1216$	$4$	1216.a	1.a	$1$	$3$	$3$	$71.746$	3.3.35529.1	None	✓	$1$	$0$	\(0\)	\(1\)	\(-9\)	\(-44\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}+\beta _{2})q^{3}+(-3-\beta _{2})q^{5}+(-15+\cdots)q^{7}+\cdots\)
1216.4.a.x	$1216$	$4$	1216.a	1.a	$1$	$3$	$3$	$71.746$	3.3.3221.1	None	✓	$1$	$0$	\(0\)	\(5\)	\(-2\)	\(-35\)		$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(2+\beta _{2})q^{3}+(-1+\beta _{1}-2\beta _{2})q^{5}+\cdots\)
1216.4.a.z	$1216$	$4$	1216.a	1.a	$1$	$5$	$5$	$71.746$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(-27\)	\(-20\)		$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{3})q^{3}+(-5+\beta _{1})q^{5}+(-5+\cdots)q^{7}+\cdots\)
1216.4.a.ba	$1216$	$4$	1216.a	1.a	$1$	$5$	$5$	$71.746$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(22\)		$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}+(-\beta _{1}-\beta _{2})q^{5}+(4+\beta _{2}+\cdots)q^{7}+\cdots\)
1216.4.a.bb	$1216$	$4$	1216.a	1.a	$1$	$5$	$5$	$71.746$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(2\)	\(0\)	\(-22\)		$-$	$-$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+(-\beta _{1}-\beta _{2})q^{5}+(-4-\beta _{2}+\cdots)q^{7}+\cdots\)
1216.4.a.bd	$1216$	$4$	1216.a	1.a	$1$	$5$	$5$	$71.746$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(6\)	\(-5\)	\(7\)		$+$	$+$	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{3}+(-1+\beta _{2}-\beta _{3})q^{5}+\cdots\)
1216.4.a.bf	$1216$	$4$	1216.a	1.a	$1$	$7$	$7$	$71.746$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(17\)	\(42\)		$-$	$-$	$+$	$2^{6}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(2+\beta _{3})q^{5}+(6-\beta _{2}+\beta _{5}+\cdots)q^{7}+\cdots\)
1216.4.a.bh	$1216$	$4$	1216.a	1.a	$1$	$7$	$7$	$71.746$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(9\)	\(5\)	\(-28\)		$-$	$-$	$+$	$2^{6}$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{3}+(1-\beta _{5})q^{5}+(-4-\beta _{3}+\cdots)q^{7}+\cdots\)