Newform search results

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

Results (34 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	5	37
8880.2.a.a	$8880$	$2$	8880.a	1.a	$1$	$1$	$1$	$70.907$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(-1\)	\(-4\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}-4q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
8880.2.a.d	$8880$	$2$	8880.a	1.a	$1$	$1$	$1$	$70.907$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(-1\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}-q^{7}+q^{9}+5q^{11}+2q^{13}+\cdots\)
8880.2.a.e	$8880$	$2$	8880.a	1.a	$1$	$1$	$1$	$70.907$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(-1\)	\(0\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}+q^{9}-4q^{11}+6q^{13}+\cdots\)
8880.2.a.h	$8880$	$2$	8880.a	1.a	$1$	$1$	$1$	$70.907$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(-1\)	\(2\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}+2q^{7}+q^{9}-4q^{11}+5q^{13}+\cdots\)
8880.2.a.i	$8880$	$2$	8880.a	1.a	$1$	$1$	$1$	$70.907$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(-1\)	\(5\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}+5q^{7}+q^{9}+5q^{11}-q^{13}+\cdots\)
8880.2.a.j	$8880$	$2$	8880.a	1.a	$1$	$1$	$1$	$70.907$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(1\)	\(-3\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}-3q^{7}+q^{9}+q^{11}+3q^{13}+\cdots\)
8880.2.a.k	$8880$	$2$	8880.a	1.a	$1$	$1$	$1$	$70.907$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(1\)	\(-2\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}-2q^{7}+q^{9}-q^{13}-q^{15}+\cdots\)
8880.2.a.m	$8880$	$2$	8880.a	1.a	$1$	$1$	$1$	$70.907$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(1\)	\(2\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}+2q^{7}+q^{9}-3q^{13}-q^{15}+\cdots\)
8880.2.a.n	$8880$	$2$	8880.a	1.a	$1$	$1$	$1$	$70.907$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(1\)	\(4\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}+4q^{7}+q^{9}-6q^{11}+2q^{13}+\cdots\)
8880.2.a.t	$8880$	$2$	8880.a	1.a	$1$	$1$	$1$	$70.907$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-1\)	\(0\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+q^{9}-2q^{11}+6q^{13}+\cdots\)
8880.2.a.x	$8880$	$2$	8880.a	1.a	$1$	$1$	$1$	$70.907$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-1\)	\(4\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+4q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
8880.2.a.bb	$8880$	$2$	8880.a	1.a	$1$	$1$	$1$	$70.907$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(1\)	\(0\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+q^{9}+6q^{13}+q^{15}+2q^{17}+\cdots\)
8880.2.a.bc	$8880$	$2$	8880.a	1.a	$1$	$1$	$1$	$70.907$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(1\)	\(3\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+3q^{7}+q^{9}+5q^{11}-2q^{13}+\cdots\)
8880.2.a.bd	$8880$	$2$	8880.a	1.a	$1$	$2$	$2$	$70.907$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-2\)	\(-2\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}-q^{7}+q^{9}-\beta q^{11}+(1+\cdots)q^{13}+\cdots\)
8880.2.a.bg	$8880$	$2$	8880.a	1.a	$1$	$2$	$2$	$70.907$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-2\)	\(3\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}+(1+\beta )q^{7}+q^{9}+(1-\beta )q^{11}+\cdots\)
8880.2.a.bh	$8880$	$2$	8880.a	1.a	$1$	$2$	$2$	$70.907$	\(\Q(\sqrt{113}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(2\)	\(-6\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}-3q^{7}+q^{9}+q^{11}+(1+\cdots)q^{13}+\cdots\)
8880.2.a.bk	$8880$	$2$	8880.a	1.a	$1$	$2$	$2$	$70.907$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(2\)	\(4\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}+(1+2\beta )q^{7}+q^{9}+(4-3\beta )q^{11}+\cdots\)
8880.2.a.bl	$8880$	$2$	8880.a	1.a	$1$	$2$	$2$	$70.907$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(2\)	\(6\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}+3q^{7}+q^{9}+(4-3\beta )q^{11}+\cdots\)
8880.2.a.bo	$8880$	$2$	8880.a	1.a	$1$	$2$	$2$	$70.907$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(-2\)	\(2\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+q^{7}+q^{9}+\beta q^{11}+q^{13}+\cdots\)
8880.2.a.bp	$8880$	$2$	8880.a	1.a	$1$	$2$	$2$	$70.907$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(-2\)	\(2\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+q^{7}+q^{9}+(1+2\beta )q^{11}+\cdots\)
8880.2.a.br	$8880$	$2$	8880.a	1.a	$1$	$2$	$2$	$70.907$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(2\)	\(1\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+\beta q^{7}+q^{9}+(-2+\beta )q^{11}+\cdots\)
8880.2.a.bs	$8880$	$2$	8880.a	1.a	$1$	$2$	$2$	$70.907$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(2\)	\(2\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+2\beta q^{7}+q^{9}+4q^{11}+\cdots\)
8880.2.a.bu	$8880$	$2$	8880.a	1.a	$1$	$3$	$3$	$70.907$	3.3.621.1	None	✓	$1$	$0$	\(0\)	\(-3\)	\(-3\)	\(0\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}+\beta _{2}q^{7}+q^{9}+(1-\beta _{1}+\cdots)q^{11}+\cdots\)
8880.2.a.bv	$8880$	$2$	8880.a	1.a	$1$	$3$	$3$	$70.907$	3.3.469.1	None	✓	$1$	$0$	\(0\)	\(-3\)	\(-3\)	\(2\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}+(\beta _{1}-\beta _{2})q^{7}+q^{9}+(-2\beta _{1}+\cdots)q^{11}+\cdots\)
8880.2.a.bx	$8880$	$2$	8880.a	1.a	$1$	$3$	$3$	$70.907$	3.3.229.1	None	✓	$1$	$0$	\(0\)	\(-3\)	\(3\)	\(4\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}+(1+\beta _{1}-\beta _{2})q^{7}+q^{9}+\cdots\)
8880.2.a.by	$8880$	$2$	8880.a	1.a	$1$	$3$	$3$	$70.907$	3.3.2429.1	None	✓	$1$	$0$	\(0\)	\(3\)	\(-3\)	\(-2\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+(-1+\beta _{1})q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)
8880.2.a.ca	$8880$	$2$	8880.a	1.a	$1$	$3$	$3$	$70.907$	3.3.469.1	None	✓	$1$	$0$	\(0\)	\(3\)	\(3\)	\(-4\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+(-2+\beta _{1}-\beta _{2})q^{7}+q^{9}+\cdots\)
8880.2.a.cc	$8880$	$2$	8880.a	1.a	$1$	$3$	$3$	$70.907$	3.3.2677.1	None	✓	$1$	$0$	\(0\)	\(3\)	\(3\)	\(3\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+q^{7}+q^{9}+\beta _{1}q^{11}+(-1+\cdots)q^{13}+\cdots\)
8880.2.a.cd	$8880$	$2$	8880.a	1.a	$1$	$3$	$3$	$70.907$	3.3.1101.1	None	✓	$1$	$0$	\(0\)	\(3\)	\(3\)	\(4\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+(1-\beta _{2})q^{7}+q^{9}-\beta _{1}q^{11}+\cdots\)
8880.2.a.cj	$8880$	$2$	8880.a	1.a	$1$	$5$	$5$	$70.907$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-5\)	\(-5\)	\(-3\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}+(-1+\beta _{1})q^{7}+q^{9}-\beta _{3}q^{11}+\cdots\)
8880.2.a.cl	$8880$	$2$	8880.a	1.a	$1$	$5$	$5$	$70.907$	5.5.20193189.1	None	✓	$1$	$0$	\(0\)	\(5\)	\(-5\)	\(-2\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+\beta _{4}q^{7}+q^{9}+(-\beta _{1}-\beta _{4})q^{11}+\cdots\)
8880.2.a.cm	$8880$	$2$	8880.a	1.a	$1$	$5$	$5$	$70.907$	5.5.600268.1	None	✓	$1$	$0$	\(0\)	\(5\)	\(-5\)	\(-2\)		$-$	$-$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+(-\beta _{3}+\beta _{4})q^{7}+q^{9}+\cdots\)
8880.2.a.cn	$8880$	$2$	8880.a	1.a	$1$	$5$	$5$	$70.907$	5.5.15147037.1	None	✓	$1$	$0$	\(0\)	\(5\)	\(5\)	\(1\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}-\beta _{2}q^{7}+q^{9}+(1-\beta _{1}+\cdots)q^{11}+\cdots\)
8880.2.a.co	$8880$	$2$	8880.a	1.a	$1$	$6$	$6$	$70.907$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-6\)	\(6\)	\(1\)		$+$	$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}+\beta _{1}q^{7}+q^{9}+(-2+\beta _{4}+\cdots)q^{11}+\cdots\)