Newform search results

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

Results (45 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	5	23
9200.2.a.a	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-3\)	\(0\)	\(-4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-4q^{7}+6q^{9}-3q^{11}-6q^{13}+\cdots\)
9200.2.a.c	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(0\)	\(-2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-2q^{7}+6q^{9}-q^{13}+6q^{21}+\cdots\)
9200.2.a.d	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(-3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-3q^{7}+q^{9}+6q^{13}+7q^{17}+\cdots\)
9200.2.a.e	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(-1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-q^{7}+q^{9}-5q^{11}+7q^{13}+\cdots\)
9200.2.a.g	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(-1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-q^{7}+q^{9}+2q^{13}-5q^{17}+\cdots\)
9200.2.a.h	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-q^{7}+q^{9}+3q^{11}-5q^{13}+\cdots\)
9200.2.a.i	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{7}+q^{9}+5q^{11}-q^{13}+\cdots\)
9200.2.a.k	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-1\)	\(0\)	\(-4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-4q^{7}-2q^{9}-3q^{11}-2q^{13}+\cdots\)
9200.2.a.m	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(0\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{7}-2q^{9}+4q^{11}-q^{13}+\cdots\)
9200.2.a.o	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(0\)	\(2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{7}-2q^{9}+4q^{11}+5q^{13}+\cdots\)
9200.2.a.q	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(0\)	\(0\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{7}-3q^{9}-6q^{11}-6q^{13}-7q^{17}+\cdots\)
9200.2.a.s	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{7}-3q^{9}+3q^{11}+3q^{13}+8q^{17}+\cdots\)
9200.2.a.v	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{7}-3q^{9}+3q^{11}-3q^{13}-8q^{17}+\cdots\)
9200.2.a.w	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{7}-3q^{9}+6q^{11}+2q^{13}+3q^{17}+\cdots\)
9200.2.a.x	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{7}-3q^{9}-6q^{11}+2q^{13}-6q^{17}+\cdots\)
9200.2.a.z	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(-2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{7}-2q^{9}-q^{13}+4q^{17}+\cdots\)
9200.2.a.ba	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{7}-2q^{9}+q^{13}+6q^{17}+\cdots\)
9200.2.a.bb	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+4q^{7}-2q^{9}-3q^{11}+2q^{13}+\cdots\)
9200.2.a.bd	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(2\)	\(0\)	\(-1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-q^{7}+q^{9}+5q^{11}+q^{13}+\cdots\)
9200.2.a.be	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(2\)	\(0\)	\(1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{7}+q^{9}-5q^{11}-7q^{13}+\cdots\)
9200.2.a.bh	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(2\)	\(0\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{7}+q^{9}+3q^{11}+5q^{13}+\cdots\)
9200.2.a.bj	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(0\)	\(-2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-2q^{7}+6q^{9}+5q^{13}+6q^{17}+\cdots\)
9200.2.a.bk	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(0\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+2q^{7}+6q^{9}+3q^{13}-4q^{17}+\cdots\)
9200.2.a.bl	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(0\)	\(4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+4q^{7}+6q^{9}-3q^{11}+6q^{13}+\cdots\)
9200.2.a.bm	$9200$	$2$	9200.a	1.a	$1$	$2$	$2$	$73.462$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(-2\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}+(-1+\beta )q^{7}-2q^{9}+(1+\beta )q^{11}+\cdots\)
9200.2.a.bx	$9200$	$2$	9200.a	1.a	$1$	$2$	$2$	$73.462$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+2\beta q^{7}+(1+\beta )q^{9}+4q^{11}+\cdots\)
9200.2.a.by	$9200$	$2$	9200.a	1.a	$1$	$2$	$2$	$73.462$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(3-3\beta )q^{7}+(-2+\beta )q^{9}+\cdots\)
9200.2.a.ca	$9200$	$2$	9200.a	1.a	$1$	$2$	$2$	$73.462$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(0\)	\(3\)	\(0\)	\(3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+(2-\beta )q^{7}+(1+3\beta )q^{9}+\cdots\)
9200.2.a.cc	$9200$	$2$	9200.a	1.a	$1$	$3$	$3$	$73.462$	3.3.321.1	None	✓	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(-2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}-2\beta _{1}q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots\)
9200.2.a.cd	$9200$	$2$	9200.a	1.a	$1$	$3$	$3$	$73.462$	3.3.621.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(3\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(1+\beta _{1})q^{7}+(1+\beta _{1}+\beta _{2})q^{9}+\cdots\)
9200.2.a.ce	$9200$	$2$	9200.a	1.a	$1$	$3$	$3$	$73.462$	3.3.2597.1	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(1-\beta _{1})q^{7}+(3+\beta _{2})q^{9}+\cdots\)
9200.2.a.cf	$9200$	$2$	9200.a	1.a	$1$	$3$	$3$	$73.462$	3.3.1101.1	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(1-\beta _{1}-\beta _{2})q^{7}+(4-\beta _{1}+\cdots)q^{9}+\cdots\)
9200.2.a.cg	$9200$	$2$	9200.a	1.a	$1$	$3$	$3$	$73.462$	3.3.321.1	None	✓	$1$	$0$	\(0\)	\(2\)	\(0\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+2\beta _{1}q^{7}+(1-\beta _{1}+\beta _{2})q^{9}+\cdots\)
9200.2.a.ck	$9200$	$2$	9200.a	1.a	$1$	$4$	$4$	$73.462$	4.4.5744.1	None	✓	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(-6\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+(-2-\beta _{2})q^{7}+(1+\cdots)q^{9}+\cdots\)
9200.2.a.cl	$9200$	$2$	9200.a	1.a	$1$	$4$	$4$	$73.462$	4.4.15317.1	None	✓	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(-3\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{3}+(-1-\beta _{3})q^{7}+(2+\cdots)q^{9}+\cdots\)
9200.2.a.cn	$9200$	$2$	9200.a	1.a	$1$	$4$	$4$	$73.462$	4.4.15529.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{3}+(-\beta _{1}+\beta _{2})q^{7}+(2-2\beta _{1}+\cdots)q^{9}+\cdots\)
9200.2.a.cp	$9200$	$2$	9200.a	1.a	$1$	$4$	$4$	$73.462$	4.4.15529.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{3}+(\beta _{1}-\beta _{2})q^{7}+(2-2\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
9200.2.a.cr	$9200$	$2$	9200.a	1.a	$1$	$4$	$4$	$73.462$	4.4.13448.1	None	✓	$1$	$0$	\(0\)	\(3\)	\(0\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{3}+(1+\beta _{3})q^{7}+(2+2\beta _{1}+\cdots)q^{9}+\cdots\)
9200.2.a.ct	$9200$	$2$	9200.a	1.a	$1$	$5$	$5$	$73.462$	5.5.521397.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-1-\beta _{3})q^{7}+(1+\beta _{2})q^{9}+\cdots\)
9200.2.a.cv	$9200$	$2$	9200.a	1.a	$1$	$5$	$5$	$73.462$	5.5.521397.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(4\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(1+\beta _{3})q^{7}+(1+\beta _{2})q^{9}+\cdots\)
9200.2.a.cy	$9200$	$2$	9200.a	1.a	$1$	$6$	$6$	$73.462$	6.6.143376304.1	None	✓	$1$	$0$	\(0\)	\(4\)	\(0\)	\(9\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{3}+(2-\beta _{3})q^{7}+(2+\beta _{1}+\cdots)q^{9}+\cdots\)
9200.2.a.da	$9200$	$2$	9200.a	1.a	$1$	$7$	$7$	$73.462$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-3\)		$-$	$-$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{3}+\beta _{2}q^{7}+(1+\beta _{1}-\beta _{2}+\beta _{5}+\cdots)q^{9}+\cdots\)
9200.2.a.db	$9200$	$2$	9200.a	1.a	$1$	$7$	$7$	$73.462$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(3\)		$-$	$+$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{3}-\beta _{2}q^{7}+(1+\beta _{1}-\beta _{2}+\beta _{5}+\cdots)q^{9}+\cdots\)
9200.2.a.dc	$9200$	$2$	9200.a	1.a	$1$	$7$	$7$	$73.462$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(0\)	\(4\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(1+\beta _{3})q^{7}+(\beta _{2}+\beta _{5}+\beta _{6})q^{9}+\cdots\)
9200.2.a.de	$9200$	$2$	9200.a	1.a	$1$	$8$	$8$	$73.462$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(0\)	\(7\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(1+\beta _{7})q^{7}+(2+\beta _{3}+\beta _{5}+\cdots)q^{9}+\cdots\)