Newform search results

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

Results (11 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	503
8048.2.a.d	$8048$	$2$	8048.a	1.a	$1$	$1$	$1$	$64.264$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-2\)	\(-1\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}-q^{7}-2q^{9}-q^{11}-3q^{13}+\cdots\)
8048.2.a.e	$8048$	$2$	8048.a	1.a	$1$	$1$	$1$	$64.264$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-2\)	\(3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}+3q^{7}-2q^{9}-q^{11}+\cdots\)
8048.2.a.h	$8048$	$2$	8048.a	1.a	$1$	$1$	$1$	$64.264$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(-1\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{7}-2q^{9}+5q^{11}+3q^{13}+\cdots\)
8048.2.a.j	$8048$	$2$	8048.a	1.a	$1$	$1$	$1$	$64.264$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(2\)	\(-1\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}-q^{7}-2q^{9}-3q^{11}+\cdots\)
8048.2.a.l	$8048$	$2$	8048.a	1.a	$1$	$2$	$2$	$64.264$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(4\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+(-1+\beta )q^{5}+(2+\beta )q^{7}+2q^{9}+\cdots\)
8048.2.a.n	$8048$	$2$	8048.a	1.a	$1$	$5$	$5$	$64.264$	5.5.36497.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(-3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}+\beta _{3}-\beta _{4})q^{3}+(\beta _{2}+\beta _{3})q^{5}+\cdots\)
8048.2.a.p	$8048$	$2$	8048.a	1.a	$1$	$10$	$10$	$64.264$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(8\)	\(-1\)	\(5\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}-\beta _{2}q^{5}+(\beta _{1}-\beta _{2}+\beta _{4}+\cdots)q^{7}+\cdots\)
8048.2.a.q	$8048$	$2$	8048.a	1.a	$1$	$12$	$12$	$64.264$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-5\)	\(5\)	\(-8\)		$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-\beta _{9}q^{5}+(-1-\beta _{10})q^{7}+\cdots\)
8048.2.a.s	$8048$	$2$	8048.a	1.a	$1$	$21$	$21$	$64.264$		None	✓	$1$	$1$	\(0\)	\(-10\)	\(3\)	\(-13\)		$-$	$-$	$+$		$\mathrm{SU}(2)$
8048.2.a.v	$8048$	$2$	8048.a	1.a	$1$	$28$	$28$	$64.264$		None	✓	$1$	$1$	\(0\)	\(-2\)	\(-12\)	\(0\)		$+$	$+$	$+$		$\mathrm{SU}(2)$
8048.2.a.x	$8048$	$2$	8048.a	1.a	$1$	$33$	$33$	$64.264$		None	✓	$1$	$1$	\(0\)	\(-10\)	\(0\)	\(-12\)		$+$	$+$	$+$		$\mathrm{SU}(2)$