Newform search results

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

Results (13 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.b	$7938$	$2$	7938.a	1.a	$1$	$1$	$1$	$63.385$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-3\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-3q^{5}-q^{8}+3q^{10}-3q^{11}+\cdots\)
7938.2.a.d	$7938$	$2$	7938.a	1.a	$1$	$1$	$1$	$63.385$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-3\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-3q^{5}-q^{8}+3q^{10}+6q^{11}+\cdots\)
7938.2.a.e	$7938$	$2$	7938.a	1.a	$1$	$1$	$1$	$63.385$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-2\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-2q^{5}-q^{8}+2q^{10}+q^{11}+\cdots\)
7938.2.a.h	$7938$	$2$	7938.a	1.a	$1$	$1$	$1$	$63.385$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{8}+4q^{13}+q^{16}+6q^{17}+\cdots\)
7938.2.a.j	$7938$	$2$	7938.a	1.a	$1$	$1$	$1$	$63.385$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(1\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-2q^{11}+\cdots\)
7938.2.a.l	$7938$	$2$	7938.a	1.a	$1$	$1$	$1$	$63.385$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(3\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+3q^{5}-q^{8}-3q^{10}-6q^{11}+\cdots\)
7938.2.a.n	$7938$	$2$	7938.a	1.a	$1$	$1$	$1$	$63.385$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(3\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+3q^{5}-q^{8}-3q^{10}+q^{13}+\cdots\)
7938.2.a.p	$7938$	$2$	7938.a	1.a	$1$	$1$	$1$	$63.385$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(4\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+4q^{5}-q^{8}-4q^{10}-2q^{11}+\cdots\)
7938.2.a.bh	$7938$	$2$	7938.a	1.a	$1$	$2$	$2$	$63.385$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(-3\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(-1-\beta )q^{5}-q^{8}+(1+\cdots)q^{10}+\cdots\)
7938.2.a.bj	$7938$	$2$	7938.a	1.a	$1$	$2$	$2$	$63.385$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$3$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{8}-\beta q^{11}+(-2-\beta )q^{13}+\cdots\)
7938.2.a.bl	$7938$	$2$	7938.a	1.a	$1$	$2$	$2$	$63.385$	\(\Q(\sqrt{7}) \)	None	✓	$2$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+\beta q^{5}-q^{8}-\beta q^{10}+2q^{11}+\cdots\)
7938.2.a.bw	$7938$	$2$	7938.a	1.a	$1$	$3$	$3$	$63.385$	3.3.321.1	None	✓	$1$	$0$	\(-3\)	\(0\)	\(1\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-\beta _{2}q^{5}-q^{8}+\beta _{2}q^{10}+\cdots\)
7938.2.a.ch	$7938$	$2$	7938.a	1.a	$1$	$4$	$4$	$63.385$	\(\Q(\sqrt{7}, \sqrt{15})\)	None	✓	$2$	$0$	\(-4\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+\beta _{3}q^{5}-q^{8}-\beta _{3}q^{10}+\cdots\)