Newform search results

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

Results (8 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	13	103
4017.2.a.a	$4017$	$2$	4017.a	1.a	$1$	$1$	$1$	$32.076$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(2\)	\(-2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}+2q^{5}+q^{6}-2q^{7}+\cdots\)
4017.2.a.b	$4017$	$2$	4017.a	1.a	$1$	$1$	$1$	$32.076$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(2\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}+2q^{5}-q^{6}-2q^{7}+\cdots\)
4017.2.a.c	$4017$	$2$	4017.a	1.a	$1$	$1$	$1$	$32.076$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(1\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}+q^{5}+2q^{7}+q^{9}-2q^{12}+\cdots\)
4017.2.a.d	$4017$	$2$	4017.a	1.a	$1$	$2$	$2$	$32.076$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-2\)	\(-2\)	\(-4\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}-q^{3}+(1-2\beta )q^{4}+(-2+\cdots)q^{5}+\cdots\)
4017.2.a.e	$4017$	$2$	4017.a	1.a	$1$	$16$	$16$	$32.076$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(16\)	\(-6\)	\(-13\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{12}q^{5}+\cdots\)
4017.2.a.f	$4017$	$2$	4017.a	1.a	$1$	$19$	$19$	$32.076$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	None	✓	$1$	$1$	\(-4\)	\(19\)	\(-3\)	\(-23\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{16}q^{5}+\cdots\)
4017.2.a.h	$4017$	$2$	4017.a	1.a	$1$	$25$	$25$	$32.076$		None	✓	$1$	$1$	\(-4\)	\(-25\)	\(-5\)	\(-7\)		$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
4017.2.a.i	$4017$	$2$	4017.a	1.a	$1$	$25$	$25$	$32.076$		None	✓	$1$	$1$	\(-2\)	\(-25\)	\(-3\)	\(-11\)		$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$