Newform search results

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

Results (10 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	7
7938.2.a.c	$7938$	$2$	7938.a	1.a	$1$	$1$	$1$	$63.385$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(-3\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-3q^{5}-q^{8}+3q^{10}+3q^{11}+\cdots\)
7938.2.a.f	$7938$	$2$	7938.a	1.a	$1$	$1$	$1$	$63.385$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(-1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}+2q^{11}+\cdots\)
7938.2.a.i	$7938$	$2$	7938.a	1.a	$1$	$1$	$1$	$63.385$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{8}+3q^{11}-2q^{13}+\cdots\)
7938.2.a.k	$7938$	$2$	7938.a	1.a	$1$	$1$	$1$	$63.385$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}+2q^{11}+\cdots\)
7938.2.a.bg	$7938$	$2$	7938.a	1.a	$1$	$2$	$2$	$63.385$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-4\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(-2+\beta )q^{5}-q^{8}+(2+\cdots)q^{10}+\cdots\)
7938.2.a.bi	$7938$	$2$	7938.a	1.a	$1$	$2$	$2$	$63.385$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+\beta q^{5}-q^{8}-\beta q^{10}+(-3+\cdots)q^{11}+\cdots\)
7938.2.a.bm	$7938$	$2$	7938.a	1.a	$1$	$2$	$2$	$63.385$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(1+\beta )q^{5}-q^{8}+(-1+\cdots)q^{10}+\cdots\)
7938.2.a.bx	$7938$	$2$	7938.a	1.a	$1$	$3$	$3$	$63.385$	3.3.321.1	None	✓	$1$	$1$	\(-3\)	\(0\)	\(5\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(2-\beta _{1})q^{5}-q^{8}+(-2+\cdots)q^{10}+\cdots\)
7938.2.a.cc	$7938$	$2$	7938.a	1.a	$1$	$4$	$4$	$63.385$	4.4.21312.1	None	✓	$1$	$1$	\(-4\)	\(0\)	\(-4\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(-1+\beta _{3})q^{5}-q^{8}+(1+\cdots)q^{10}+\cdots\)
7938.2.a.cf	$7938$	$2$	7938.a	1.a	$1$	$4$	$4$	$63.385$	4.4.21312.1	None	✓	$2$	$1$	\(-4\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+\beta _{3}q^{5}-q^{8}-\beta _{3}q^{10}+\cdots\)