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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	7	11
1617.2.a.b	$1617$	$2$	1617.a	1.a	$1$	$1$	$1$	$12.912$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(1\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+q^{3}+2q^{4}-2q^{6}+q^{9}-q^{11}+\cdots\)
1617.2.a.d	$1617$	$2$	1617.a	1.a	$1$	$1$	$1$	$12.912$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(-4\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}-4q^{5}-q^{6}+3q^{8}+\cdots\)
1617.2.a.e	$1617$	$2$	1617.a	1.a	$1$	$1$	$1$	$12.912$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(2\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}+2q^{5}-q^{6}+3q^{8}+\cdots\)
1617.2.a.h	$1617$	$2$	1617.a	1.a	$1$	$1$	$1$	$12.912$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(1\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}-q^{4}+q^{6}-3q^{8}+q^{9}+\cdots\)
1617.2.a.i	$1617$	$2$	1617.a	1.a	$1$	$1$	$1$	$12.912$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(1\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}-q^{4}+q^{6}-3q^{8}+q^{9}+\cdots\)
1617.2.a.l	$1617$	$2$	1617.a	1.a	$1$	$2$	$2$	$12.912$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-3\)	\(2\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}+q^{3}+3\beta q^{4}+(-1+\cdots)q^{5}+\cdots\)
1617.2.a.o	$1617$	$2$	1617.a	1.a	$1$	$2$	$2$	$12.912$	\(\Q(\sqrt{21}) \)	None	✓	$1$	$1$	\(-1\)	\(2\)	\(-6\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+q^{3}+(3+\beta )q^{4}-3q^{5}-\beta q^{6}+\cdots\)