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	5	19
5415.2.a.a	$5415$	$2$	5415.a	1.a	$1$	$1$	$1$	$43.239$	\(\Q\)	None	✓	$1$	$2$	\(-2\)	\(-1\)	\(-1\)	\(-2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-q^{3}+2q^{4}-q^{5}+2q^{6}-2q^{7}+\cdots\)
5415.2.a.d	$5415$	$2$	5415.a	1.a	$1$	$1$	$1$	$43.239$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(-1\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}-q^{5}-q^{6}+2q^{7}+\cdots\)
5415.2.a.e	$5415$	$2$	5415.a	1.a	$1$	$1$	$1$	$43.239$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(1\)	\(4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}+q^{5}-q^{6}+4q^{7}+\cdots\)
5415.2.a.h	$5415$	$2$	5415.a	1.a	$1$	$1$	$1$	$43.239$	\(\Q\)	None	✓	$1$	$2$	\(1\)	\(-1\)	\(-1\)	\(-2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}-q^{4}-q^{5}-q^{6}-2q^{7}+\cdots\)
5415.2.a.j	$5415$	$2$	5415.a	1.a	$1$	$1$	$1$	$43.239$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(1\)	\(1\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}-q^{4}+q^{5}+q^{6}-3q^{8}+\cdots\)
5415.2.a.k	$5415$	$2$	5415.a	1.a	$1$	$1$	$1$	$43.239$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(1\)	\(-1\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+q^{3}+2q^{4}-q^{5}+2q^{6}-2q^{7}+\cdots\)
5415.2.a.n	$5415$	$2$	5415.a	1.a	$1$	$2$	$2$	$43.239$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(-2\)	\(-2\)	\(-2\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}-q^{3}+(1-2\beta )q^{4}-q^{5}+\cdots\)
5415.2.a.q	$5415$	$2$	5415.a	1.a	$1$	$2$	$2$	$43.239$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-1\)	\(2\)	\(-2\)	\(6\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}-q^{5}-\beta q^{6}+\cdots\)
5415.2.a.s	$5415$	$2$	5415.a	1.a	$1$	$2$	$2$	$43.239$	\(\Q(\sqrt{7}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(2\)	\(-2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{3}+5q^{4}+q^{5}+\beta q^{6}+(-1+\cdots)q^{7}+\cdots\)
5415.2.a.t	$5415$	$2$	5415.a	1.a	$1$	$2$	$2$	$43.239$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(1\)	\(-2\)	\(-2\)	\(6\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}-q^{5}-\beta q^{6}+\cdots\)
5415.2.a.v	$5415$	$2$	5415.a	1.a	$1$	$2$	$2$	$43.239$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(2\)	\(2\)	\(-2\)	\(-2\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}-q^{4}-q^{5}+q^{6}+(-1+\cdots)q^{7}+\cdots\)
5415.2.a.x	$5415$	$2$	5415.a	1.a	$1$	$3$	$3$	$43.239$	3.3.148.1	None	✓	$1$	$0$	\(1\)	\(-3\)	\(3\)	\(-4\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+q^{5}+\cdots\)
5415.2.a.y	$5415$	$2$	5415.a	1.a	$1$	$5$	$5$	$43.239$	5.5.8797896.1	None	✓	$1$	$0$	\(-1\)	\(-5\)	\(5\)	\(2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)
5415.2.a.z	$5415$	$2$	5415.a	1.a	$1$	$5$	$5$	$43.239$	5.5.8797896.1	None	✓	$1$	$0$	\(1\)	\(5\)	\(5\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)
5415.2.a.bf	$5415$	$2$	5415.a	1.a	$1$	$6$	$6$	$43.239$	6.6.5516125.1	None	✓	$1$	$0$	\(1\)	\(-6\)	\(-6\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{1}+\beta _{4}+\beta _{5})q^{4}+\cdots\)
5415.2.a.bg	$5415$	$2$	5415.a	1.a	$1$	$6$	$6$	$43.239$	6.6.2591125.1	None	✓	$1$	$0$	\(1\)	\(6\)	\(6\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(\beta _{2}-\beta _{3})q^{4}+q^{5}+\cdots\)
5415.2.a.bi	$5415$	$2$	5415.a	1.a	$1$	$6$	$6$	$43.239$	6.6.5061125.1	None	✓	$1$	$0$	\(3\)	\(-6\)	\(-6\)	\(6\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}-q^{3}+(2-\beta _{1}+\beta _{2}+\beta _{3}+\cdots)q^{4}+\cdots\)
5415.2.a.bj	$5415$	$2$	5415.a	1.a	$1$	$6$	$6$	$43.239$	6.6.966125.1	None	✓	$1$	$0$	\(3\)	\(6\)	\(6\)	\(4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{2})q^{2}+q^{3}+(2-\beta _{2}-\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots\)
5415.2.a.bo	$5415$	$2$	5415.a	1.a	$1$	$12$	$12$	$43.239$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(-3\)	\(-12\)	\(-12\)	\(6\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
5415.2.a.bp	$5415$	$2$	5415.a	1.a	$1$	$12$	$12$	$43.239$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(3\)	\(12\)	\(-12\)	\(6\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
5415.2.a.bq	$5415$	$2$	5415.a	1.a	$1$	$12$	$12$	$43.239$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(-12\)	\(12\)	\(-6\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{8}+\beta _{9})q^{4}+q^{5}+\cdots\)
5415.2.a.br	$5415$	$2$	5415.a	1.a	$1$	$12$	$12$	$43.239$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(12\)	\(-12\)	\(-10\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{9}q^{2}+q^{3}+(1+\beta _{7}-\beta _{9})q^{4}-q^{5}+\cdots\)
5415.2.a.bs	$5415$	$2$	5415.a	1.a	$1$	$15$	$15$	$43.239$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(-3\)	\(-15\)	\(15\)	\(6\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)
5415.2.a.bt	$5415$	$2$	5415.a	1.a	$1$	$15$	$15$	$43.239$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(3\)	\(15\)	\(15\)	\(6\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)