Newform search results

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

Results (15 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	7
441.6.a.a	$441$	$6$	441.a	1.a	$1$	$1$	$1$	$70.729$	\(\Q\)	\(\Q(\sqrt{-7}) \)	✓	$2$	$1$	\(-11\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-11q^{2}+89q^{4}-627q^{8}+76q^{11}+\cdots\)
441.6.a.b	$441$	$6$	441.a	1.a	$1$	$1$	$1$	$70.729$	\(\Q\)	None	✓	$1$	$1$	\(-10\)	\(0\)	\(-106\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-10q^{2}+68q^{4}-106q^{5}-360q^{8}+\cdots\)
441.6.a.c	$441$	$6$	441.a	1.a	$1$	$1$	$1$	$70.729$	\(\Q\)	None	✓	$1$	$1$	\(-5\)	\(0\)	\(94\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-5q^{2}-7q^{4}+94q^{5}+195q^{8}-470q^{10}+\cdots\)
441.6.a.d	$441$	$6$	441.a	1.a	$1$	$1$	$1$	$70.729$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(-34\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-31q^{4}-34q^{5}+63q^{8}+34q^{10}+\cdots\)
441.6.a.h	$441$	$6$	441.a	1.a	$1$	$1$	$1$	$70.729$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(11\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-28q^{4}+11q^{5}-120q^{8}+\cdots\)
441.6.a.i	$441$	$6$	441.a	1.a	$1$	$1$	$1$	$70.729$	\(\Q\)	None	✓	$1$	$1$	\(6\)	\(0\)	\(6\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+6q^{2}+4q^{4}+6q^{5}-168q^{8}+6^{2}q^{10}+\cdots\)
441.6.a.j	$441$	$6$	441.a	1.a	$1$	$1$	$1$	$70.729$	\(\Q\)	None	✓	$1$	$1$	\(6\)	\(0\)	\(78\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+6q^{2}+4q^{4}+78q^{5}-168q^{8}+468q^{10}+\cdots\)
441.6.a.k	$441$	$6$	441.a	1.a	$1$	$1$	$1$	$70.729$	\(\Q\)	None	✓	$1$	$1$	\(10\)	\(0\)	\(-56\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+10q^{2}+68q^{4}-56q^{5}+360q^{8}+\cdots\)
441.6.a.l	$441$	$6$	441.a	1.a	$1$	$2$	$2$	$70.729$	\(\Q(\sqrt{57}) \)	None	✓	$1$	$1$	\(-9\)	\(0\)	\(-18\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-4-\beta )q^{2}+(-2+9\beta )q^{4}+(-14+\cdots)q^{5}+\cdots\)
441.6.a.m	$441$	$6$	441.a	1.a	$1$	$2$	$2$	$70.729$	\(\Q(\sqrt{37}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-38\)	\(0\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}+(6+2\beta )q^{4}+(-19+\cdots)q^{5}+\cdots\)
441.6.a.q	$441$	$6$	441.a	1.a	$1$	$2$	$2$	$70.729$	\(\Q(\sqrt{193}) \)	None	✓	$1$	$1$	\(3\)	\(0\)	\(-72\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(17+3\beta )q^{4}-6^{2}q^{5}+\cdots\)
441.6.a.r	$441$	$6$	441.a	1.a	$1$	$2$	$2$	$70.729$	\(\Q(\sqrt{193}) \)	None	✓	$1$	$1$	\(3\)	\(0\)	\(72\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(17+3\beta )q^{4}+6^{2}q^{5}+\cdots\)
441.6.a.s	$441$	$6$	441.a	1.a	$1$	$2$	$2$	$70.729$	\(\Q(\sqrt{249}) \)	None	✓	$1$	$1$	\(3\)	\(0\)	\(-33\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(31+3\beta )q^{4}+(-13-7\beta )q^{5}+\cdots\)
441.6.a.u	$441$	$6$	441.a	1.a	$1$	$2$	$2$	$70.729$	\(\Q(\sqrt{39}) \)	None	✓	$2$	$1$	\(4\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	\(q+2q^{2}-28q^{4}-\beta q^{5}-120q^{8}-2\beta q^{10}+\cdots\)
441.6.a.v	$441$	$6$	441.a	1.a	$1$	$4$	$4$	$70.729$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(-3\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$7$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(18-\beta _{1}+\beta _{2})q^{4}+\cdots\)