Newform search results

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

Results (11 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	5
675.2.a.a	$675$	$2$	675.a	1.a	$1$	$1$	$1$	$5.390$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(0\)	\(3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}+3q^{7}+2q^{11}+5q^{13}+\cdots\)
675.2.a.c	$675$	$2$	675.a	1.a	$1$	$1$	$1$	$5.390$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+3q^{8}+5q^{11}-5q^{13}+\cdots\)
675.2.a.d	$675$	$2$	675.a	1.a	$1$	$1$	$1$	$5.390$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)		$+$	$-$	$-$	$1$	$N(\mathrm{U}(1))$	\(q-2q^{4}-4q^{7}+5q^{13}+4q^{16}+8q^{19}+\cdots\)
675.2.a.f	$675$	$2$	675.a	1.a	$1$	$1$	$1$	$5.390$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(4\)		$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q-2q^{4}+4q^{7}-5q^{13}+4q^{16}+8q^{19}+\cdots\)
675.2.a.h	$675$	$2$	675.a	1.a	$1$	$1$	$1$	$5.390$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-3q^{8}+5q^{11}+5q^{13}+\cdots\)
675.2.a.i	$675$	$2$	675.a	1.a	$1$	$1$	$1$	$5.390$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(0\)	\(0\)	\(3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}+3q^{7}-2q^{11}+5q^{13}+\cdots\)
675.2.a.m	$675$	$2$	675.a	1.a	$1$	$2$	$2$	$5.390$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(6\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+3q^{7}-2\beta q^{8}+3\beta q^{11}+3q^{13}+\cdots\)
675.2.a.n	$675$	$2$	675.a	1.a	$1$	$2$	$2$	$5.390$	\(\Q(\sqrt{7}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-6\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+5q^{4}-3q^{7}+3\beta q^{8}+2\beta q^{11}+\cdots\)
675.2.a.o	$675$	$2$	675.a	1.a	$1$	$2$	$2$	$5.390$	\(\Q(\sqrt{7}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(6\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+5q^{4}+3q^{7}+3\beta q^{8}-2\beta q^{11}+\cdots\)
675.2.a.p	$675$	$2$	675.a	1.a	$1$	$2$	$2$	$5.390$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(1+\beta )q^{4}+(-2+2\beta )q^{7}+\cdots\)
675.2.a.q	$675$	$2$	675.a	1.a	$1$	$2$	$2$	$5.390$	\(\Q(\sqrt{5}) \)	\(\Q(\sqrt{-15}) \)	✓	$2$	$0$	\(3\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$1$	$N(\mathrm{U}(1))$	\(q+(1+\beta )q^{2}+3\beta q^{4}+(1+4\beta )q^{8}+(5+\cdots)q^{16}+\cdots\)