Newform search results

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

Results (27 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
6480.2.a.d	$6480$	$2$	6480.a	1.a	$1$	$1$	$1$	$51.743$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-q^{11}+7q^{19}-6q^{23}+q^{25}+\cdots\)
6480.2.a.e	$6480$	$2$	6480.a	1.a	$1$	$1$	$1$	$51.743$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+5q^{11}+3q^{17}-5q^{19}-6q^{23}+\cdots\)
6480.2.a.h	$6480$	$2$	6480.a	1.a	$1$	$1$	$1$	$51.743$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+q^{7}-4q^{13}+6q^{17}-2q^{19}+\cdots\)
6480.2.a.j	$6480$	$2$	6480.a	1.a	$1$	$1$	$1$	$51.743$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+2q^{7}-3q^{11}-2q^{17}-q^{19}+\cdots\)
6480.2.a.l	$6480$	$2$	6480.a	1.a	$1$	$1$	$1$	$51.743$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+4q^{7}+3q^{11}-4q^{13}-3q^{17}+\cdots\)
6480.2.a.n	$6480$	$2$	6480.a	1.a	$1$	$1$	$1$	$51.743$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(-5\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-5q^{7}-q^{13}+6q^{17}-5q^{19}+\cdots\)
6480.2.a.o	$6480$	$2$	6480.a	1.a	$1$	$1$	$1$	$51.743$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-2q^{7}-3q^{11}-4q^{13}+6q^{17}+\cdots\)
6480.2.a.p	$6480$	$2$	6480.a	1.a	$1$	$1$	$1$	$51.743$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-2q^{7}+3q^{11}-4q^{13}-6q^{17}+\cdots\)
6480.2.a.q	$6480$	$2$	6480.a	1.a	$1$	$1$	$1$	$51.743$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-5q^{11}-3q^{17}-5q^{19}+6q^{23}+\cdots\)
6480.2.a.r	$6480$	$2$	6480.a	1.a	$1$	$1$	$1$	$51.743$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-5q^{11}+4q^{13}-4q^{17}+5q^{19}+\cdots\)
6480.2.a.t	$6480$	$2$	6480.a	1.a	$1$	$1$	$1$	$51.743$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+q^{7}-4q^{13}-6q^{17}-2q^{19}+\cdots\)
6480.2.a.u	$6480$	$2$	6480.a	1.a	$1$	$1$	$1$	$51.743$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+q^{7}+5q^{13}-6q^{17}-5q^{19}+\cdots\)
6480.2.a.y	$6480$	$2$	6480.a	1.a	$1$	$1$	$1$	$51.743$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+4q^{7}-3q^{11}-4q^{13}-5q^{19}+\cdots\)
6480.2.a.z	$6480$	$2$	6480.a	1.a	$1$	$1$	$1$	$51.743$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+4q^{7}-3q^{11}-4q^{13}+3q^{17}+\cdots\)
6480.2.a.ba	$6480$	$2$	6480.a	1.a	$1$	$2$	$2$	$51.743$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(-4\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+(-2+\beta )q^{7}+(-2+2\beta )q^{11}+\cdots\)
6480.2.a.bb	$6480$	$2$	6480.a	1.a	$1$	$2$	$2$	$51.743$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(-4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+(-2+\beta )q^{7}+2\beta q^{11}+(2-\beta )q^{13}+\cdots\)
6480.2.a.bc	$6480$	$2$	6480.a	1.a	$1$	$2$	$2$	$51.743$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(-2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+(-1+\beta )q^{7}-2q^{17}+(2-2\beta )q^{19}+\cdots\)
6480.2.a.bd	$6480$	$2$	6480.a	1.a	$1$	$2$	$2$	$51.743$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(-1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-\beta q^{7}+(-1+\beta )q^{11}-\beta q^{13}+\cdots\)
6480.2.a.bf	$6480$	$2$	6480.a	1.a	$1$	$2$	$2$	$51.743$	\(\Q(\sqrt{57}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(-1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-\beta q^{7}+(3-\beta )q^{11}+(2+\beta )q^{13}+\cdots\)
6480.2.a.bh	$6480$	$2$	6480.a	1.a	$1$	$2$	$2$	$51.743$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+(1+\beta )q^{7}-\beta q^{11}+(2+2\beta )q^{13}+\cdots\)
6480.2.a.bi	$6480$	$2$	6480.a	1.a	$1$	$2$	$2$	$51.743$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(6\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+(3+\beta )q^{7}+(-4-\beta )q^{11}+(-2+\cdots)q^{13}+\cdots\)
6480.2.a.bk	$6480$	$2$	6480.a	1.a	$1$	$2$	$2$	$51.743$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(-4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(-2+\beta )q^{7}+(2-2\beta )q^{11}+\cdots\)
6480.2.a.bl	$6480$	$2$	6480.a	1.a	$1$	$2$	$2$	$51.743$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(-1+\beta )q^{7}+2q^{17}+(2-2\beta )q^{19}+\cdots\)
6480.2.a.bq	$6480$	$2$	6480.a	1.a	$1$	$2$	$2$	$51.743$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(1+\beta )q^{7}+(2-\beta )q^{11}+(-2+\cdots)q^{13}+\cdots\)
6480.2.a.bs	$6480$	$2$	6480.a	1.a	$1$	$3$	$3$	$51.743$	3.3.564.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(-5\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+(-2+\beta _{1})q^{7}+(-1-\beta _{2})q^{11}+\cdots\)
6480.2.a.bv	$6480$	$2$	6480.a	1.a	$1$	$3$	$3$	$51.743$	3.3.564.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(3\)	\(-5\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(-2+\beta _{1})q^{7}+(1+\beta _{2})q^{11}+\cdots\)
6480.2.a.ca	$6480$	$2$	6480.a	1.a	$1$	$4$	$4$	$51.743$	4.4.62352.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(4\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(-\beta _{1}+\beta _{2})q^{7}+(-2+\beta _{1}+\cdots)q^{11}+\cdots\)