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	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	23
5175.2.a.f	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+3q^{8}+4q^{13}-q^{16}+\cdots\)
5175.2.a.g	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+2q^{7}+3q^{8}+4q^{13}+\cdots\)
5175.2.a.n	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}+3q^{7}-2q^{11}-3q^{13}+4q^{16}+\cdots\)
5175.2.a.r	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(0\)	\(-3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-3q^{7}-3q^{8}+q^{11}+q^{13}+\cdots\)
5175.2.a.u	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}+q^{7}-3q^{8}+q^{11}+q^{13}+\cdots\)
5175.2.a.z	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(0\)	\(-1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}-q^{7}-2q^{13}-2q^{14}+\cdots\)
5175.2.a.bm	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(1+\beta )q^{4}+(1-\beta )q^{7}+3q^{8}+\cdots\)
5175.2.a.bq	$5175$	$2$	5175.a	1.a	$1$	$3$	$3$	$41.323$	3.3.229.1	None	✓	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{2}+(2+\beta _{1})q^{4}+\beta _{1}q^{7}+\cdots\)
5175.2.a.bt	$5175$	$2$	5175.a	1.a	$1$	$3$	$3$	$41.323$	3.3.148.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}+(1-\beta _{1}-\beta _{2})q^{4}+(1-2\beta _{1}+\cdots)q^{7}+\cdots\)
5175.2.a.bv	$5175$	$2$	5175.a	1.a	$1$	$4$	$4$	$41.323$	4.4.5744.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-6\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2}+\beta _{3})q^{4}+(-1+\cdots)q^{7}+\cdots\)
5175.2.a.ca	$5175$	$2$	5175.a	1.a	$1$	$7$	$7$	$41.323$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(-5\)		$-$	$-$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}+(2-\beta _{3})q^{4}+(-1-\beta _{5})q^{7}+\cdots\)