Newform search results

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

Results (11 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Minimal twist	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	7	53
5194.2.a.b	$5194$	$2$	5194.a	1.a	$1$	$1$	$1$	$41.474$	\(\Q\)	None	✓		742.2.a.d	$1$	$1$	\(-1\)	\(-2\)	\(-4\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}-4q^{5}+2q^{6}-q^{8}+\cdots\)
5194.2.a.c	$5194$	$2$	5194.a	1.a	$1$	$1$	$1$	$41.474$	\(\Q\)	None	✓		106.2.a.b	$1$	$1$	\(-1\)	\(-2\)	\(-1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}-q^{5}+2q^{6}-q^{8}+\cdots\)
5194.2.a.e	$5194$	$2$	5194.a	1.a	$1$	$1$	$1$	$41.474$	\(\Q\)	None	✓		742.2.a.c	$1$	$1$	\(-1\)	\(-2\)	\(4\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}+4q^{5}+2q^{6}-q^{8}+\cdots\)
5194.2.a.r	$5194$	$2$	5194.a	1.a	$1$	$2$	$2$	$41.474$	\(\Q(\sqrt{2}) \)	None	✓		742.2.e.d	$1$	$1$	\(-2\)	\(-4\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-2+\beta )q^{3}+q^{4}+2\beta q^{5}+\cdots\)
5194.2.a.s	$5194$	$2$	5194.a	1.a	$1$	$2$	$2$	$41.474$	\(\Q(\sqrt{2}) \)	None	✓	✓	5194.2.a.s	$1$	$1$	\(-2\)	\(-2\)	\(-4\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+(-2+\beta )q^{5}+q^{6}+\cdots\)
5194.2.a.v	$5194$	$2$	5194.a	1.a	$1$	$2$	$2$	$41.474$	\(\Q(\sqrt{2}) \)	None	✓	✓	5194.2.a.v	$2$	$1$	\(-2\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta q^{3}+q^{4}-\beta q^{5}-\beta q^{6}-q^{8}+\cdots\)
5194.2.a.x	$5194$	$2$	5194.a	1.a	$1$	$2$	$2$	$41.474$	\(\Q(\sqrt{2}) \)	None	✓		742.2.a.i	$1$	$1$	\(-2\)	\(2\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1+\beta )q^{3}+q^{4}+\beta q^{5}+(-1+\cdots)q^{6}+\cdots\)
5194.2.a.y	$5194$	$2$	5194.a	1.a	$1$	$2$	$2$	$41.474$	\(\Q(\sqrt{2}) \)	None	✓		742.2.a.h	$1$	$1$	\(-2\)	\(2\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1+\beta )q^{3}+q^{4}-\beta q^{5}+(-1+\cdots)q^{6}+\cdots\)
5194.2.a.z	$5194$	$2$	5194.a	1.a	$1$	$2$	$2$	$41.474$	\(\Q(\sqrt{2}) \)	None	✓	✓	5194.2.a.s	$1$	$1$	\(-2\)	\(2\)	\(4\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+(2+\beta )q^{5}-q^{6}+\cdots\)
5194.2.a.bd	$5194$	$2$	5194.a	1.a	$1$	$3$	$3$	$41.474$	3.3.257.1	None	✓		742.2.e.e	$1$	$1$	\(-3\)	\(-2\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-1+\beta _{1}+\beta _{2})q^{3}+q^{4}-\beta _{2}q^{5}+\cdots\)
5194.2.a.bm	$5194$	$2$	5194.a	1.a	$1$	$4$	$4$	$41.474$	4.4.147069.1	None	✓		742.2.e.f	$1$	$1$	\(-4\)	\(4\)	\(-5\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+(-1-\beta _{1})q^{5}-q^{6}+\cdots\)