Newform search results

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

Results (21 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	5
1600.4.a.d	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-8\)	\(0\)	\(4\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-8q^{3}+4q^{7}+37q^{9}-12q^{11}-58q^{13}+\cdots\)
1600.4.a.e	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-8\)	\(0\)	\(16\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-8q^{3}+2^{4}q^{7}+37q^{9}-40q^{11}+\cdots\)
1600.4.a.i	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-7\)	\(0\)	\(6\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-7q^{3}+6q^{7}+22q^{9}+43q^{11}+28q^{13}+\cdots\)
1600.4.a.j	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-6\)	\(0\)	\(34\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-6q^{3}+34q^{7}+9q^{9}-2^{4}q^{11}+58q^{13}+\cdots\)
1600.4.a.m	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-5\)	\(0\)	\(2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-5q^{3}+2q^{7}-2q^{9}-39q^{11}-84q^{13}+\cdots\)
1600.4.a.o	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-4\)	\(0\)	\(-24\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{3}-24q^{7}-11q^{9}+44q^{11}+\cdots\)
1600.4.a.r	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(-6\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-6q^{7}-23q^{9}-60q^{11}+50q^{13}+\cdots\)
1600.4.a.bc	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(-26\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-26q^{7}-26q^{9}-45q^{11}+44q^{13}+\cdots\)
1600.4.a.bf	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(6\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+6q^{7}-26q^{9}+19q^{11}+12q^{13}+\cdots\)
1600.4.a.bi	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(2\)	\(0\)	\(-6\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-6q^{7}-23q^{9}-2^{5}q^{11}-38q^{13}+\cdots\)
1600.4.a.bj	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(2\)	\(0\)	\(6\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+6q^{7}-23q^{9}+60q^{11}+50q^{13}+\cdots\)
1600.4.a.bk	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(4\)	\(0\)	\(-16\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{3}-2^{4}q^{7}-11q^{9}-6^{2}q^{11}+\cdots\)
1600.4.a.bl	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(4\)	\(0\)	\(16\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{3}+2^{4}q^{7}-11q^{9}+60q^{11}+\cdots\)
1600.4.a.bu	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(7\)	\(0\)	\(34\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+7q^{3}+34q^{7}+22q^{9}-3^{3}q^{11}+\cdots\)
1600.4.a.bw	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(8\)	\(0\)	\(-16\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+8q^{3}-2^{4}q^{7}+37q^{9}+40q^{11}+\cdots\)
1600.4.a.bz	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(9\)	\(0\)	\(-26\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+9q^{3}-26q^{7}+54q^{9}+59q^{11}+\cdots\)
1600.4.a.ca	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(10\)	\(0\)	\(18\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+10q^{3}+18q^{7}+73q^{9}+2^{4}q^{11}+\cdots\)
1600.4.a.cd	$1600$	$4$	1600.a	1.a	$1$	$2$	$2$	$94.403$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$0$	\(0\)	\(-8\)	\(0\)	\(8\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-4+\beta )q^{3}+(4+5\beta )q^{7}+(13-8\beta )q^{9}+\cdots\)
1600.4.a.cn	$1600$	$4$	1600.a	1.a	$1$	$2$	$2$	$94.403$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$0$	\(0\)	\(8\)	\(0\)	\(-8\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(4+\beta )q^{3}+(-4+5\beta )q^{7}+(13+8\beta )q^{9}+\cdots\)
1600.4.a.cq	$1600$	$4$	1600.a	1.a	$1$	$3$	$3$	$94.403$	3.3.5685.1	None	✓	$1$	$0$	\(0\)	\(-5\)	\(0\)	\(-2\)		$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(-2-\beta _{1})q^{3}+(-1-\beta _{1}-\beta _{2})q^{7}+\cdots\)
1600.4.a.ct	$1600$	$4$	1600.a	1.a	$1$	$3$	$3$	$94.403$	3.3.5685.1	None	✓	$1$	$0$	\(0\)	\(5\)	\(0\)	\(2\)		$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(2+\beta _{1})q^{3}+(1+\beta _{1}+\beta _{2})q^{7}+(7+\cdots)q^{9}+\cdots\)