Newform search results

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

Results (10 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	223
8028.2.a.a	$8028$	$2$	8028.a	1.a	$1$	$1$	$1$	$64.104$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(0\)	\(-3\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{5}-2q^{7}-4q^{11}-6q^{17}-8q^{23}+\cdots\)
8028.2.a.b	$8028$	$2$	8028.a	1.a	$1$	$1$	$1$	$64.104$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(-2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}-2q^{7}+3q^{11}+6q^{13}+7q^{17}+\cdots\)
8028.2.a.c	$8028$	$2$	8028.a	1.a	$1$	$1$	$1$	$64.104$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(0\)	\(-1\)	\(-2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-2q^{7}-6q^{11}-6q^{13}-4q^{17}+\cdots\)
8028.2.a.d	$8028$	$2$	8028.a	1.a	$1$	$1$	$1$	$64.104$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{7}-3q^{11}-4q^{13}+3q^{17}+2q^{19}+\cdots\)
8028.2.a.f	$8028$	$2$	8028.a	1.a	$1$	$1$	$1$	$64.104$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(3\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{5}-2q^{7}+4q^{11}+6q^{17}+8q^{23}+\cdots\)
8028.2.a.h	$8028$	$2$	8028.a	1.a	$1$	$2$	$2$	$64.104$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-2\beta )q^{5}+2\beta q^{7}+(4+\beta )q^{11}+\cdots\)
8028.2.a.i	$8028$	$2$	8028.a	1.a	$1$	$5$	$5$	$64.104$	5.5.1710888.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(6\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1}+\beta _{2})q^{5}+(1-\beta _{4})q^{7}+(3+\cdots)q^{17}+\cdots\)
8028.2.a.j	$8028$	$2$	8028.a	1.a	$1$	$7$	$7$	$64.104$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(7\)	\(-1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1}+\beta _{6})q^{5}+(\beta _{3}+\beta _{6})q^{7}+(1+\cdots)q^{11}+\cdots\)
8028.2.a.n	$8028$	$2$	8028.a	1.a	$1$	$11$	$11$	$64.104$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-5\)	\(11\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{5}+(1+\beta _{9})q^{7}-\beta _{5}q^{11}+(1+\cdots)q^{13}+\cdots\)
8028.2.a.p	$8028$	$2$	8028.a	1.a	$1$	$16$	$16$	$64.104$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(22\)		$-$	$+$	$+$	$-$	$7$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{5}+(1-\beta _{7})q^{7}+\beta _{9}q^{11}+(1+\cdots)q^{13}+\cdots\)