Newform search results

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

Results (37 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
7200.2.a.c	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{7}+4q^{13}-8q^{19}-4q^{23}+6q^{29}+\cdots\)
7200.2.a.d	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{7}+4q^{11}-6q^{13}+2q^{17}-4q^{19}+\cdots\)
7200.2.a.f	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{7}-4q^{11}-7q^{13}-4q^{17}-q^{19}+\cdots\)
7200.2.a.g	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{7}-5q^{13}+5q^{19}-4q^{23}-4q^{29}+\cdots\)
7200.2.a.i	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{7}+4q^{11}+7q^{13}+4q^{17}+q^{19}+\cdots\)
7200.2.a.j	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{7}-6q^{11}-2q^{13}+6q^{17}-4q^{19}+\cdots\)
7200.2.a.k	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{7}-5q^{11}-5q^{17}+5q^{19}-6q^{23}+\cdots\)
7200.2.a.n	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{7}+2q^{11}+2q^{17}+4q^{19}+2q^{29}+\cdots\)
7200.2.a.t	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{7}+4q^{11}+3q^{13}-4q^{17}-q^{19}+\cdots\)
7200.2.a.u	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{11}-2q^{13}-2q^{17}+8q^{19}+\cdots\)
7200.2.a.x	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$N(\mathrm{U}(1))$	\(q-4q^{13}+2q^{17}-4q^{29}+12q^{37}+\cdots\)
7200.2.a.z	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{13}+6q^{17}-4q^{19}+8q^{23}+\cdots\)
7200.2.a.bb	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$N(\mathrm{U}(1))$	\(q+4q^{13}-8q^{17}-10q^{29}+12q^{37}+\cdots\)
7200.2.a.bd	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$N(\mathrm{U}(1))$	\(q+4q^{13}+2q^{17}+4q^{29}-12q^{37}+\cdots\)
7200.2.a.bf	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q+6q^{13}+8q^{17}+4q^{29}+2q^{37}+\cdots\)
7200.2.a.bg	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{11}-2q^{13}-2q^{17}-8q^{19}+\cdots\)
7200.2.a.bk	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{7}+4q^{11}-3q^{13}+4q^{17}-q^{19}+\cdots\)
7200.2.a.bm	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{7}-5q^{11}+5q^{17}+5q^{19}+6q^{23}+\cdots\)
7200.2.a.bo	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{7}+2q^{11}-2q^{17}-4q^{19}-2q^{29}+\cdots\)
7200.2.a.bp	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{7}+4q^{11}+6q^{13}+2q^{17}+8q^{19}+\cdots\)
7200.2.a.br	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{7}+6q^{11}-2q^{13}+6q^{17}+4q^{19}+\cdots\)
7200.2.a.bs	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{7}-4q^{11}+7q^{13}+4q^{17}-q^{19}+\cdots\)
7200.2.a.bu	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{7}+5q^{13}+5q^{19}+4q^{23}-4q^{29}+\cdots\)
7200.2.a.bv	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{7}+4q^{11}-7q^{13}-4q^{17}+q^{19}+\cdots\)
7200.2.a.bx	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{7}-4q^{11}+2q^{13}-6q^{17}-4q^{19}+\cdots\)
7200.2.a.ca	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{7}+4q^{13}+8q^{19}+4q^{23}+6q^{29}+\cdots\)
7200.2.a.cc	$7200$	$2$	7200.a	1.a	$1$	$2$	$2$	$57.492$	\(\Q(\sqrt{5}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)		$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-2q^{7}-\beta q^{11}-\beta q^{13}-\beta q^{17}+4q^{23}+\cdots\)
7200.2.a.cf	$7200$	$2$	7200.a	1.a	$1$	$2$	$2$	$57.492$	\(\Q(\sqrt{5}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-2\beta q^{7}-\beta q^{11}-4q^{13}-7q^{17}+\cdots\)
7200.2.a.cg	$7200$	$2$	7200.a	1.a	$1$	$2$	$2$	$57.492$	\(\Q(\sqrt{5}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta q^{7}-\beta q^{11}-4q^{13}-2q^{17}-2\beta q^{23}+\cdots\)
7200.2.a.ci	$7200$	$2$	7200.a	1.a	$1$	$2$	$2$	$57.492$	\(\Q(\sqrt{5}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{7}+2\beta q^{11}-q^{13}-2q^{17}+3\beta q^{19}+\cdots\)
7200.2.a.cl	$7200$	$2$	7200.a	1.a	$1$	$2$	$2$	$57.492$	\(\Q(\sqrt{5}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{7}-2\beta q^{11}+q^{13}+2q^{17}-3\beta q^{19}+\cdots\)
7200.2.a.cm	$7200$	$2$	7200.a	1.a	$1$	$2$	$2$	$57.492$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta q^{7}+2\beta q^{11}+2q^{13}+2q^{17}+\cdots\)
7200.2.a.cn	$7200$	$2$	7200.a	1.a	$1$	$2$	$2$	$57.492$	\(\Q(\sqrt{5}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-2\beta q^{7}+\beta q^{11}+4q^{13}+7q^{17}+\cdots\)
7200.2.a.co	$7200$	$2$	7200.a	1.a	$1$	$2$	$2$	$57.492$	\(\Q(\sqrt{13}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{7}+2q^{11}-3q^{13}-2\beta q^{17}+\cdots\)
7200.2.a.cp	$7200$	$2$	7200.a	1.a	$1$	$2$	$2$	$57.492$	\(\Q(\sqrt{13}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{7}+2q^{11}+3q^{13}-2\beta q^{17}+\cdots\)
7200.2.a.cr	$7200$	$2$	7200.a	1.a	$1$	$2$	$2$	$57.492$	\(\Q(\sqrt{5}) \)	\(\Q(\sqrt{-5}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(6\)		$-$	$-$	$-$	$-$	$2$	$N(\mathrm{U}(1))$	\(q+(3+\beta )q^{7}+(-1-3\beta )q^{23}+6q^{29}+\cdots\)
7200.2.a.ct	$7200$	$2$	7200.a	1.a	$1$	$4$	$4$	$57.492$	\(\Q(\zeta_{24})^+\)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{7}+\beta _{2}q^{11}+\beta _{2}q^{13}-\beta _{3}q^{17}+\cdots\)