Newform search results

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

Results (13 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
576.4.a.b	$576$	$4$	576.a	1.a	$1$	$1$	$1$	$33.985$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-18\)	\(8\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-18q^{5}+8q^{7}+6^{2}q^{11}+10q^{13}+\cdots\)
576.4.a.d	$576$	$4$	576.a	1.a	$1$	$1$	$1$	$33.985$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-16\)	\(12\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2^{4}q^{5}+12q^{7}+2^{6}q^{11}-58q^{13}+\cdots\)
576.4.a.g	$576$	$4$	576.a	1.a	$1$	$1$	$1$	$33.985$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-10\)	\(-16\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-10q^{5}-2^{4}q^{7}+40q^{11}+50q^{13}+\cdots\)
576.4.a.h	$576$	$4$	576.a	1.a	$1$	$1$	$1$	$33.985$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-10\)	\(16\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-10q^{5}+2^{4}q^{7}-40q^{11}+50q^{13}+\cdots\)
576.4.a.i	$576$	$4$	576.a	1.a	$1$	$1$	$1$	$33.985$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(-4\)	\(0\)		$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q-4q^{5}-18q^{13}+104q^{17}-109q^{25}+\cdots\)
576.4.a.k	$576$	$4$	576.a	1.a	$1$	$1$	$1$	$33.985$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(24\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}+24q^{7}-44q^{11}-22q^{13}+\cdots\)
576.4.a.l	$576$	$4$	576.a	1.a	$1$	$1$	$1$	$33.985$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-20\)		$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q-20q^{7}+70q^{13}+56q^{19}-5^{3}q^{25}+\cdots\)
576.4.a.p	$576$	$4$	576.a	1.a	$1$	$1$	$1$	$33.985$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(4\)	\(0\)		$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q+4q^{5}-18q^{13}-104q^{17}-109q^{25}+\cdots\)
576.4.a.q	$576$	$4$	576.a	1.a	$1$	$1$	$1$	$33.985$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(6\)	\(-16\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+6q^{5}-2^{4}q^{7}+12q^{11}-38q^{13}+\cdots\)
576.4.a.s	$576$	$4$	576.a	1.a	$1$	$1$	$1$	$33.985$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(10\)	\(-4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+10q^{5}-4q^{7}+20q^{11}-70q^{13}+\cdots\)
576.4.a.t	$576$	$4$	576.a	1.a	$1$	$1$	$1$	$33.985$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(10\)	\(4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+10q^{5}+4q^{7}-20q^{11}-70q^{13}+\cdots\)
576.4.a.u	$576$	$4$	576.a	1.a	$1$	$1$	$1$	$33.985$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(14\)	\(-24\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+14q^{5}-24q^{7}-28q^{11}+74q^{13}+\cdots\)
576.4.a.x	$576$	$4$	576.a	1.a	$1$	$1$	$1$	$33.985$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(16\)	\(12\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2^{4}q^{5}+12q^{7}-2^{6}q^{11}-58q^{13}+\cdots\)