Newform search results

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

Results (9 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	5
1800.4.a.g	$1800$	$4$	1800.a	1.a	$1$	$1$	$1$	$106.203$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-19\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-19q^{7}-22q^{11}+q^{13}+58q^{17}+\cdots\)
1800.4.a.j	$1800$	$4$	1800.a	1.a	$1$	$1$	$1$	$106.203$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-10\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-10q^{7}+46q^{11}+34q^{13}+66q^{17}+\cdots\)
1800.4.a.o	$1800$	$4$	1800.a	1.a	$1$	$1$	$1$	$106.203$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{7}+28q^{11}+2^{4}q^{13}+108q^{17}+\cdots\)
1800.4.a.p	$1800$	$4$	1800.a	1.a	$1$	$1$	$1$	$106.203$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{7}-39q^{11}-84q^{13}-61q^{17}+\cdots\)
1800.4.a.x	$1800$	$4$	1800.a	1.a	$1$	$1$	$1$	$106.203$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(10\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+10q^{7}+14q^{11}-82q^{13}-18q^{17}+\cdots\)
1800.4.a.bh	$1800$	$4$	1800.a	1.a	$1$	$1$	$1$	$106.203$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(26\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+26q^{7}+59q^{11}+28q^{13}-5q^{17}+\cdots\)
1800.4.a.bn	$1800$	$4$	1800.a	1.a	$1$	$2$	$2$	$106.203$	\(\Q(\sqrt{129}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(1+3\beta )q^{7}+(-37+\beta )q^{11}+(-7^{2}+\cdots)q^{13}+\cdots\)
1800.4.a.bo	$1800$	$4$	1800.a	1.a	$1$	$2$	$2$	$106.203$	\(\Q(\sqrt{109}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$+$	$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{7}+(8-3\beta )q^{11}+(41+2\beta )q^{13}+\cdots\)
1800.4.a.bp	$1800$	$4$	1800.a	1.a	$1$	$2$	$2$	$106.203$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(4\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(2+3\beta )q^{7}+(-20+8\beta )q^{11}+(52+\cdots)q^{13}+\cdots\)