Newform search results

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

Results (12 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	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	31
6975.2.a.e	$6975$	$2$	6975.a	1.a	$1$	$1$	$1$	$55.696$	\(\Q\)	None	✓				2325.2.a.e	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}-2q^{7}+3q^{8}-2q^{11}+\cdots\)
6975.2.a.g	$6975$	$2$	6975.a	1.a	$1$	$1$	$1$	$55.696$	\(\Q\)	None	✓				465.2.a.a	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+4q^{7}+3q^{8}+4q^{11}+\cdots\)
6975.2.a.l	$6975$	$2$	6975.a	1.a	$1$	$1$	$1$	$55.696$	\(\Q\)	None	✓				155.2.a.c	$1$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}+4q^{11}+6q^{13}+4q^{16}+5q^{17}+\cdots\)
6975.2.a.t	$6975$	$2$	6975.a	1.a	$1$	$2$	$2$	$55.696$	\(\Q(\sqrt{5}) \)	None	✓				93.2.a.a	$1$	$0$	\(-3\)	\(0\)	\(0\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}+3\beta q^{4}+(1+2\beta )q^{7}+\cdots\)
6975.2.a.v	$6975$	$2$	6975.a	1.a	$1$	$2$	$2$	$55.696$	\(\Q(\sqrt{3}) \)	None	✓				465.2.a.d	$1$	$0$	\(0\)	\(0\)	\(0\)	\(6\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{4}+(3+\beta )q^{7}-\beta q^{8}+(-2+\cdots)q^{11}+\cdots\)
6975.2.a.bb	$6975$	$2$	6975.a	1.a	$1$	$3$	$3$	$55.696$	3.3.229.1	None	✓				93.2.a.b	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1-\beta _{1}+\beta _{2})q^{7}+\cdots\)
6975.2.a.bd	$6975$	$2$	6975.a	1.a	$1$	$3$	$3$	$55.696$	3.3.148.1	None	✓				2325.2.a.t	$1$	$0$	\(0\)	\(0\)	\(0\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}+(1-\beta _{1}-\beta _{2})q^{4}+(1+\beta _{1}+\cdots)q^{7}+\cdots\)
6975.2.a.bi	$6975$	$2$	6975.a	1.a	$1$	$3$	$3$	$55.696$	3.3.148.1	None	✓				465.2.a.g	$1$	$0$	\(3\)	\(0\)	\(0\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+(-2\beta _{1}+\cdots)q^{7}+\cdots\)
6975.2.a.bn	$6975$	$2$	6975.a	1.a	$1$	$4$	$4$	$55.696$	4.4.8468.1	None	✓				155.2.a.e	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}+(1+\beta _{1}-\beta _{2}+\beta _{3})q^{4}+(-1+\cdots)q^{7}+\cdots\)
6975.2.a.bo	$6975$	$2$	6975.a	1.a	$1$	$4$	$4$	$55.696$	4.4.8468.1	None	✓				465.2.a.h	$1$	$0$	\(2\)	\(0\)	\(0\)	\(-4\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}+(2-\beta _{1})q^{4}+(-1+\beta _{1}-\beta _{3})q^{7}+\cdots\)
6975.2.a.by	$6975$	$2$	6975.a	1.a	$1$	$5$	$5$	$55.696$	5.5.144209.1	None	✓				775.2.a.h	$1$	$0$	\(4\)	\(0\)	\(0\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{3})q^{2}+(1-\beta _{1}-\beta _{3}-\beta _{4})q^{4}+\cdots\)
6975.2.a.ca	$6975$	$2$	6975.a	1.a	$1$	$6$	$6$	$55.696$	6.6.75968016.1	None	✓		✓		2325.2.a.y	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{4}+\beta _{5})q^{4}+(-\beta _{2}+\cdots)q^{7}+\cdots\)