Newform search results

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

Results (20 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.a	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-10\)	\(0\)	\(-18\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-10q^{3}-18q^{7}+73q^{9}-2^{4}q^{11}+\cdots\)
1600.4.a.b	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-9\)	\(0\)	\(26\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-9q^{3}+26q^{7}+54q^{9}-59q^{11}+\cdots\)
1600.4.a.g	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-7\)	\(0\)	\(-34\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-7q^{3}-34q^{7}+22q^{9}+3^{3}q^{11}+\cdots\)
1600.4.a.k	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-5\)	\(0\)	\(-10\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-5q^{3}-10q^{7}-2q^{9}-15q^{11}-8q^{13}+\cdots\)
1600.4.a.p	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-4\)	\(0\)	\(-16\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{3}-2^{4}q^{7}-11q^{9}-60q^{11}+\cdots\)
1600.4.a.q	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-4\)	\(0\)	\(16\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{3}+2^{4}q^{7}-11q^{9}+6^{2}q^{11}+\cdots\)
1600.4.a.s	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(6\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+6q^{7}-23q^{9}+2^{5}q^{11}-38q^{13}+\cdots\)
1600.4.a.v	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(-6\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-6q^{7}-26q^{9}-19q^{11}+12q^{13}+\cdots\)
1600.4.a.y	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(26\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+26q^{7}-26q^{9}+45q^{11}+44q^{13}+\cdots\)
1600.4.a.ba	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q-3^{3}q^{9}-18q^{13}+94q^{17}+130q^{29}+\cdots\)
1600.4.a.bm	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(4\)	\(0\)	\(24\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{3}+24q^{7}-11q^{9}-44q^{11}+\cdots\)
1600.4.a.bo	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(5\)	\(0\)	\(-2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+5q^{3}-2q^{7}-2q^{9}+39q^{11}-84q^{13}+\cdots\)
1600.4.a.bq	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(5\)	\(0\)	\(10\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+5q^{3}+10q^{7}-2q^{9}+15q^{11}-8q^{13}+\cdots\)
1600.4.a.br	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(6\)	\(0\)	\(-34\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+6q^{3}-34q^{7}+9q^{9}+2^{4}q^{11}+58q^{13}+\cdots\)
1600.4.a.bs	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(7\)	\(0\)	\(-6\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+7q^{3}-6q^{7}+22q^{9}-43q^{11}+28q^{13}+\cdots\)
1600.4.a.bx	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(8\)	\(0\)	\(-4\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+8q^{3}-4q^{7}+37q^{9}+12q^{11}-58q^{13}+\cdots\)
1600.4.a.cg	$1600$	$4$	1600.a	1.a	$1$	$2$	$2$	$94.403$	\(\Q(\sqrt{5}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta q^{3}-7\beta q^{7}-7q^{9}-2\beta q^{11}-62q^{13}+\cdots\)
1600.4.a.ch	$1600$	$4$	1600.a	1.a	$1$	$2$	$2$	$94.403$	\(\Q(\sqrt{10}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-3\beta q^{7}+13q^{9}+2\beta q^{11}+\cdots\)
1600.4.a.ci	$1600$	$4$	1600.a	1.a	$1$	$2$	$2$	$94.403$	\(\Q(\sqrt{13}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+\beta q^{7}+5^{2}q^{9}+6\beta q^{11}+34q^{13}+\cdots\)
1600.4.a.cw	$1600$	$4$	1600.a	1.a	$1$	$4$	$4$	$94.403$	4.4.2106005.1	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2^{6}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-\beta _{1}+\beta _{3})q^{7}+(24+\beta _{2}+\cdots)q^{9}+\cdots\)