Newform search results

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

Results (14 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.a	$576$	$4$	576.a	1.a	$1$	$1$	$1$	$33.985$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-18\)	\(-8\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-18q^{5}-8q^{7}-6^{2}q^{11}+10q^{13}+\cdots\)
576.4.a.c	$576$	$4$	576.a	1.a	$1$	$1$	$1$	$33.985$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-16\)	\(-12\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2^{4}q^{5}-12q^{7}-2^{6}q^{11}-58q^{13}+\cdots\)
576.4.a.e	$576$	$4$	576.a	1.a	$1$	$1$	$1$	$33.985$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-14\)	\(-36\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-14q^{5}-6^{2}q^{7}-6^{2}q^{11}-54q^{13}+\cdots\)
576.4.a.f	$576$	$4$	576.a	1.a	$1$	$1$	$1$	$33.985$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-14\)	\(36\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-14q^{5}+6^{2}q^{7}+6^{2}q^{11}-54q^{13}+\cdots\)
576.4.a.j	$576$	$4$	576.a	1.a	$1$	$1$	$1$	$33.985$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(-24\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}-24q^{7}+44q^{11}-22q^{13}+\cdots\)
576.4.a.m	$576$	$4$	576.a	1.a	$1$	$1$	$1$	$33.985$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(20\)		$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+20q^{7}+70q^{13}-56q^{19}-5^{3}q^{25}+\cdots\)
576.4.a.n	$576$	$4$	576.a	1.a	$1$	$1$	$1$	$33.985$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(-12\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-12q^{7}-60q^{11}+42q^{13}+\cdots\)
576.4.a.o	$576$	$4$	576.a	1.a	$1$	$1$	$1$	$33.985$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(12\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+12q^{7}+60q^{11}+42q^{13}+\cdots\)
576.4.a.r	$576$	$4$	576.a	1.a	$1$	$1$	$1$	$33.985$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(6\)	\(16\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+6q^{5}+2^{4}q^{7}-12q^{11}-38q^{13}+\cdots\)
576.4.a.v	$576$	$4$	576.a	1.a	$1$	$1$	$1$	$33.985$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(14\)	\(24\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+14q^{5}+24q^{7}+28q^{11}+74q^{13}+\cdots\)
576.4.a.w	$576$	$4$	576.a	1.a	$1$	$1$	$1$	$33.985$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(16\)	\(-12\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2^{4}q^{5}-12q^{7}+2^{6}q^{11}-58q^{13}+\cdots\)
576.4.a.y	$576$	$4$	576.a	1.a	$1$	$1$	$1$	$33.985$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(22\)	\(0\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+22q^{5}+18q^{13}+94q^{17}+359q^{25}+\cdots\)
576.4.a.z	$576$	$4$	576.a	1.a	$1$	$2$	$2$	$33.985$	\(\Q(\sqrt{13}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q-\beta q^{5}+2\beta q^{7}-2^{5}q^{11}+14q^{13}+\cdots\)
576.4.a.ba	$576$	$4$	576.a	1.a	$1$	$2$	$2$	$33.985$	\(\Q(\sqrt{13}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q-\beta q^{5}-2\beta q^{7}+2^{5}q^{11}+14q^{13}+\cdots\)