Newform search results

Results (16 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	3	5
2160.4.a.be	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.5637.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-15\)	\(-44\)		$-$	$-$	$+$	$+$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q-5q^{5}+(-15-\beta _{1})q^{7}+(12-\beta _{1}+\cdots)q^{11}+\cdots\)
2160.4.a.bf	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.47977.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-15\)	\(-9\)		$+$	$+$	$+$	$+$	$2\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q-5q^{5}+(-3-\beta _{2})q^{7}+(6+\beta _{1}-\beta _{2})q^{11}+\cdots\)
2160.4.a.bg	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.985.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-15\)	\(-6\)		$+$	$-$	$+$	$-$	$2^{3}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q-5q^{5}+(-2+\beta _{2})q^{7}+(4-\beta _{1}-\beta _{2})q^{11}+\cdots\)
2160.4.a.bh	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.1765.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-15\)	\(0\)		$+$	$-$	$+$	$-$	$2^{2}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q-5q^{5}+\beta _{1}q^{7}+(-9-\beta _{1}+2\beta _{2})q^{11}+\cdots\)
2160.4.a.bi	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.1772.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-15\)	\(4\)		$-$	$+$	$+$	$-$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	\(q-5q^{5}+(3\beta _{1}+\beta _{2})q^{7}+(3-5\beta _{1}+\beta _{2})q^{11}+\cdots\)
2160.4.a.bj	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.4281.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-15\)	\(8\)		$+$	$+$	$+$	$+$	$2^{3}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q-5q^{5}+(3-\beta _{1})q^{7}+(-4+\beta _{1}-\beta _{2})q^{11}+\cdots\)
2160.4.a.bk	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.1257.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-15\)	\(10\)		$+$	$-$	$+$	$-$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q-5q^{5}+(4-\beta _{1}-\beta _{2})q^{7}+(11-5\beta _{1}+\cdots)q^{11}+\cdots\)
2160.4.a.bl	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.697.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-15\)	\(24\)		$+$	$+$	$+$	$+$	$2^{3}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q-5q^{5}+(8+\beta _{2})q^{7}+(2-\beta _{1}+3\beta _{2})q^{11}+\cdots\)
2160.4.a.bm	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.5637.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(15\)	\(-44\)		$-$	$+$	$-$	$+$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q+5q^{5}+(-15-\beta _{1})q^{7}+(-12+\beta _{1}+\cdots)q^{11}+\cdots\)
2160.4.a.bn	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.47977.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(15\)	\(-9\)		$+$	$+$	$-$	$-$	$2\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+5q^{5}+(-3-\beta _{2})q^{7}+(-6-\beta _{1}+\cdots)q^{11}+\cdots\)
2160.4.a.bo	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.985.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(15\)	\(-6\)		$+$	$+$	$-$	$-$	$2^{3}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+5q^{5}+(-2+\beta _{2})q^{7}+(-4+\beta _{1}+\cdots)q^{11}+\cdots\)
2160.4.a.bp	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.1765.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(15\)	\(0\)		$+$	$-$	$-$	$+$	$2^{2}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+5q^{5}+\beta _{1}q^{7}+(9+\beta _{1}-2\beta _{2})q^{11}+\cdots\)
2160.4.a.bq	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.1772.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(15\)	\(4\)		$-$	$+$	$-$	$+$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	\(q+5q^{5}+(3\beta _{1}+\beta _{2})q^{7}+(-3+5\beta _{1}+\cdots)q^{11}+\cdots\)
2160.4.a.br	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.4281.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(15\)	\(8\)		$+$	$-$	$-$	$+$	$2^{3}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+5q^{5}+(3-\beta _{1})q^{7}+(4-\beta _{1}+\beta _{2})q^{11}+\cdots\)
2160.4.a.bs	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.1257.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(15\)	\(10\)		$+$	$+$	$-$	$-$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q+5q^{5}+(4-\beta _{1}-\beta _{2})q^{7}+(-11+5\beta _{1}+\cdots)q^{11}+\cdots\)
2160.4.a.bt	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.697.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(15\)	\(24\)		$+$	$-$	$-$	$+$	$2^{3}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+5q^{5}+(8+\beta _{2})q^{7}+(-2+\beta _{1}-3\beta _{2})q^{11}+\cdots\)