Newform search results

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

Results (24 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	7	19
7581.2.a.a	$7581$	$2$	7581.a	1.a	$1$	$1$	$1$	$60.535$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(1\)	\(-4\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}-4q^{5}-q^{6}-q^{7}+\cdots\)
7581.2.a.d	$7581$	$2$	7581.a	1.a	$1$	$1$	$1$	$60.535$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-1\)	\(-2\)	\(-1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}-q^{4}-2q^{5}-q^{6}-q^{7}+\cdots\)
7581.2.a.e	$7581$	$2$	7581.a	1.a	$1$	$1$	$1$	$60.535$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-1\)	\(4\)	\(-1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}-q^{4}+4q^{5}-q^{6}-q^{7}+\cdots\)
7581.2.a.f	$7581$	$2$	7581.a	1.a	$1$	$1$	$1$	$60.535$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(1\)	\(0\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}-q^{4}+q^{6}+q^{7}-3q^{8}+\cdots\)
7581.2.a.i	$7581$	$2$	7581.a	1.a	$1$	$2$	$2$	$60.535$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(1\)	\(-2\)	\(-4\)	\(-2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}+(-3+2\beta )q^{5}+\cdots\)
7581.2.a.j	$7581$	$2$	7581.a	1.a	$1$	$2$	$2$	$60.535$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(2\)	\(-2\)	\(3\)	\(-2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}-q^{4}+(2-\beta )q^{5}-q^{6}+\cdots\)
7581.2.a.l	$7581$	$2$	7581.a	1.a	$1$	$3$	$3$	$60.535$	3.3.404.1	None	✓	$1$	$0$	\(-1\)	\(-3\)	\(0\)	\(-3\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}-q^{3}+(3+\beta _{1}-\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
7581.2.a.o	$7581$	$2$	7581.a	1.a	$1$	$3$	$3$	$60.535$	3.3.148.1	None	✓	$1$	$0$	\(1\)	\(-3\)	\(2\)	\(3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{2})q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots\)
7581.2.a.v	$7581$	$2$	7581.a	1.a	$1$	$4$	$4$	$60.535$	4.4.6224.1	None	✓	$1$	$0$	\(2\)	\(4\)	\(6\)	\(-4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{3})q^{2}+q^{3}+(1-\beta _{1}-\beta _{2})q^{4}+\cdots\)
7581.2.a.w	$7581$	$2$	7581.a	1.a	$1$	$5$	$5$	$60.535$	5.5.368464.1	None	✓	$1$	$0$	\(-3\)	\(5\)	\(4\)	\(5\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+q^{3}+(2-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
7581.2.a.z	$7581$	$2$	7581.a	1.a	$1$	$6$	$6$	$60.535$	6.6.8512625.1	None	✓	$1$	$0$	\(-2\)	\(-6\)	\(-5\)	\(-6\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(2+\beta _{3}+\beta _{4})q^{4}+(-1+\cdots)q^{5}+\cdots\)
7581.2.a.ba	$7581$	$2$	7581.a	1.a	$1$	$6$	$6$	$60.535$	6.6.343395288.1	None	✓	$1$	$0$	\(-1\)	\(-6\)	\(0\)	\(-6\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+\beta _{3}q^{5}+\cdots\)
7581.2.a.bb	$7581$	$2$	7581.a	1.a	$1$	$6$	$6$	$60.535$	6.6.130040728.1	None	✓	$1$	$0$	\(-1\)	\(-6\)	\(4\)	\(6\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+(1+\beta _{5})q^{5}+\cdots\)
7581.2.a.bc	$7581$	$2$	7581.a	1.a	$1$	$6$	$6$	$60.535$	6.6.343395288.1	None	✓	$1$	$0$	\(1\)	\(6\)	\(0\)	\(-6\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+\beta _{3}q^{5}+\cdots\)
7581.2.a.bd	$7581$	$2$	7581.a	1.a	$1$	$6$	$6$	$60.535$	6.6.130040728.1	None	✓	$1$	$0$	\(1\)	\(6\)	\(4\)	\(6\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+(1+\beta _{5})q^{5}+\cdots\)
7581.2.a.bf	$7581$	$2$	7581.a	1.a	$1$	$6$	$6$	$60.535$	6.6.5953625.1	None	✓	$1$	$0$	\(3\)	\(-6\)	\(2\)	\(-6\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{3})q^{2}-q^{3}+(2-\beta _{1}+\beta _{3}-\beta _{4}+\cdots)q^{4}+\cdots\)
7581.2.a.bn	$7581$	$2$	7581.a	1.a	$1$	$12$	$12$	$60.535$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(12\)	\(-2\)	\(12\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{10}q^{5}+\cdots\)
7581.2.a.bo	$7581$	$2$	7581.a	1.a	$1$	$12$	$12$	$60.535$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(3\)	\(12\)	\(-2\)	\(12\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(\beta _{1}+\beta _{4}+\cdots)q^{5}+\cdots\)
7581.2.a.bp	$7581$	$2$	7581.a	1.a	$1$	$12$	$12$	$60.535$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(-12\)	\(-2\)	\(12\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{4}-\beta _{5})q^{4}+\cdots\)
7581.2.a.bq	$7581$	$2$	7581.a	1.a	$1$	$18$	$18$	$60.535$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-18\)	\(0\)	\(-18\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{12}q^{5}+\cdots\)
7581.2.a.br	$7581$	$2$	7581.a	1.a	$1$	$18$	$18$	$60.535$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-18\)	\(12\)	\(18\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{9}+\cdots)q^{5}+\cdots\)
7581.2.a.bs	$7581$	$2$	7581.a	1.a	$1$	$18$	$18$	$60.535$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(18\)	\(0\)	\(-18\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{12}q^{5}+\cdots\)
7581.2.a.bt	$7581$	$2$	7581.a	1.a	$1$	$18$	$18$	$60.535$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(18\)	\(12\)	\(18\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{9}+\cdots)q^{5}+\cdots\)
7581.2.a.bv	$7581$	$2$	7581.a	1.a	$1$	$20$	$20$	$60.535$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(20\)	\(-2\)	\(-20\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{12}q^{5}+\cdots\)