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.b	$7581$	$2$	7581.a	1.a	$1$	$1$	$1$	$60.535$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(0\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}-q^{6}-q^{7}+3q^{8}+\cdots\)
7581.2.a.c	$7581$	$2$	7581.a	1.a	$1$	$1$	$1$	$60.535$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-1\)	\(-4\)	\(-1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}-q^{4}-4q^{5}-q^{6}-q^{7}+\cdots\)
7581.2.a.g	$7581$	$2$	7581.a	1.a	$1$	$2$	$2$	$60.535$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-2\)	\(2\)	\(3\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}+(1+\beta )q^{5}-q^{6}+\cdots\)
7581.2.a.h	$7581$	$2$	7581.a	1.a	$1$	$2$	$2$	$60.535$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-1\)	\(2\)	\(-4\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}+(-3+2\beta )q^{5}+\cdots\)
7581.2.a.k	$7581$	$2$	7581.a	1.a	$1$	$3$	$3$	$60.535$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$1$	\(-3\)	\(3\)	\(0\)	\(-3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}+(-\beta _{1}-\beta _{2})q^{5}+\cdots\)
7581.2.a.m	$7581$	$2$	7581.a	1.a	$1$	$3$	$3$	$60.535$	3.3.148.1	None	✓	$1$	$1$	\(-1\)	\(3\)	\(2\)	\(3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots\)
7581.2.a.n	$7581$	$2$	7581.a	1.a	$1$	$3$	$3$	$60.535$	3.3.148.1	None	✓	$1$	$1$	\(-1\)	\(3\)	\(4\)	\(-3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}+(1+\beta _{1}+\cdots)q^{5}+\cdots\)
7581.2.a.p	$7581$	$2$	7581.a	1.a	$1$	$3$	$3$	$60.535$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$1$	\(3\)	\(-3\)	\(0\)	\(-3\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}-q^{4}+(2\beta _{1}-\beta _{2})q^{5}-q^{6}+\cdots\)
7581.2.a.q	$7581$	$2$	7581.a	1.a	$1$	$4$	$4$	$60.535$	4.4.6224.1	None	✓	$1$	$1$	\(-2\)	\(-4\)	\(6\)	\(-4\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{3})q^{2}-q^{3}+(1-\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots\)
7581.2.a.r	$7581$	$2$	7581.a	1.a	$1$	$4$	$4$	$60.535$	4.4.1957.1	None	✓	$1$	$1$	\(-1\)	\(-4\)	\(-2\)	\(-4\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{2}-q^{3}+(1-\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
7581.2.a.s	$7581$	$2$	7581.a	1.a	$1$	$4$	$4$	$60.535$	4.4.12197.1	None	✓	$1$	$1$	\(-1\)	\(-4\)	\(-2\)	\(4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2}-\beta _{3})q^{4}+(-1+\cdots)q^{5}+\cdots\)
7581.2.a.t	$7581$	$2$	7581.a	1.a	$1$	$4$	$4$	$60.535$	4.4.1957.1	None	✓	$1$	$1$	\(1\)	\(4\)	\(-2\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{2}+q^{3}+(1-\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
7581.2.a.u	$7581$	$2$	7581.a	1.a	$1$	$4$	$4$	$60.535$	4.4.12197.1	None	✓	$1$	$1$	\(1\)	\(4\)	\(-2\)	\(4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2}-\beta _{3})q^{4}+(-1+\cdots)q^{5}+\cdots\)
7581.2.a.x	$7581$	$2$	7581.a	1.a	$1$	$5$	$5$	$60.535$	5.5.1240016.1	None	✓	$1$	$1$	\(-1\)	\(-5\)	\(-2\)	\(5\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{2}-q^{3}+(1+\beta _{4})q^{4}+\beta _{2}q^{5}+\cdots\)
7581.2.a.y	$7581$	$2$	7581.a	1.a	$1$	$6$	$6$	$60.535$	6.6.5953625.1	None	✓	$1$	$1$	\(-3\)	\(6\)	\(2\)	\(-6\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{3})q^{2}+q^{3}+(2-\beta _{1}+\beta _{3}+\cdots)q^{4}+\cdots\)
7581.2.a.be	$7581$	$2$	7581.a	1.a	$1$	$6$	$6$	$60.535$	6.6.8512625.1	None	✓	$1$	$1$	\(2\)	\(6\)	\(-5\)	\(-6\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{3}+\beta _{4})q^{4}+(-1+\cdots)q^{5}+\cdots\)
7581.2.a.bg	$7581$	$2$	7581.a	1.a	$1$	$9$	$9$	$60.535$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(-3\)	\(-9\)	\(0\)	\(-9\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1-\beta _{5}-\beta _{7}+\beta _{8})q^{4}+\cdots\)
7581.2.a.bh	$7581$	$2$	7581.a	1.a	$1$	$9$	$9$	$60.535$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(3\)	\(9\)	\(0\)	\(-9\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(1-\beta _{5}-\beta _{7}+\beta _{8})q^{4}+\cdots\)
7581.2.a.bi	$7581$	$2$	7581.a	1.a	$1$	$12$	$12$	$60.535$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(-4\)	\(12\)	\(-2\)	\(12\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{4}-\beta _{5})q^{4}+\cdots\)
7581.2.a.bj	$7581$	$2$	7581.a	1.a	$1$	$12$	$12$	$60.535$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(-3\)	\(-12\)	\(-2\)	\(12\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(\beta _{1}+\beta _{4}+\cdots)q^{5}+\cdots\)
7581.2.a.bk	$7581$	$2$	7581.a	1.a	$1$	$12$	$12$	$60.535$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(-1\)	\(-12\)	\(-2\)	\(12\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{10}q^{5}+\cdots\)
7581.2.a.bl	$7581$	$2$	7581.a	1.a	$1$	$12$	$12$	$60.535$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-12\)	\(-12\)	\(12\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-1-\beta _{4}+\cdots)q^{5}+\cdots\)
7581.2.a.bm	$7581$	$2$	7581.a	1.a	$1$	$12$	$12$	$60.535$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(12\)	\(-12\)	\(12\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(-1-\beta _{4}+\cdots)q^{5}+\cdots\)
7581.2.a.bu	$7581$	$2$	7581.a	1.a	$1$	$20$	$20$	$60.535$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	$1$	$1$	\(-4\)	\(-20\)	\(-2\)	\(-20\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{12}q^{5}+\cdots\)