Newform search results

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

Results (17 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.c	$1600$	$4$	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.f	$1600$	$4$	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.u	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(26\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+26q^{7}-23q^{9}+28q^{11}+\cdots\)
1600.4.a.w	$1600$	$4$	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.x	$1600$	$4$	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.bh	$1600$	$4$	1600.a	1.a	$1$	$1$	$1$	$94.403$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(-26\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-26q^{7}-23q^{9}+28q^{11}+\cdots\)
1600.4.a.bn	$1600$	$4$	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.bt	$1600$	$4$	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.cb	$1600$	$4$	1600.a	1.a	$1$	$2$	$2$	$94.403$	\(\Q(\sqrt{5}) \)	\(\Q(\sqrt{-5}) \)	✓	$2$	$1$	\(0\)	\(-14\)	\(0\)	\(18\)		$+$	$-$	$-$	$2$	$N(\mathrm{U}(1))$	\(q+(-7-\beta )q^{3}+(9+11\beta )q^{7}+(3^{3}+14\beta )q^{9}+\cdots\)
1600.4.a.cc	$1600$	$4$	1600.a	1.a	$1$	$2$	$2$	$94.403$	\(\Q(\sqrt{29}) \)	None	✓	$2$	$1$	\(0\)	\(-8\)	\(0\)	\(-8\)		$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q-4q^{3}-4q^{7}-11q^{9}-2\beta q^{11}+\beta q^{13}+\cdots\)
1600.4.a.ce	$1600$	$4$	1600.a	1.a	$1$	$2$	$2$	$94.403$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$1$	\(0\)	\(-4\)	\(0\)	\(4\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-2+\beta )q^{3}+(2+3\beta )q^{7}+(1-4\beta )q^{9}+\cdots\)
1600.4.a.cj	$1600$	$4$	1600.a	1.a	$1$	$2$	$2$	$94.403$	\(\Q(\sqrt{19}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-\beta q^{7}+7^{2}q^{9}-20q^{11}-6\beta q^{13}+\cdots\)
1600.4.a.cl	$1600$	$4$	1600.a	1.a	$1$	$2$	$2$	$94.403$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$1$	\(0\)	\(4\)	\(0\)	\(-4\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(2+\beta )q^{3}+(-2+3\beta )q^{7}+(1+4\beta )q^{9}+\cdots\)
1600.4.a.co	$1600$	$4$	1600.a	1.a	$1$	$2$	$2$	$94.403$	\(\Q(\sqrt{29}) \)	None	✓	$2$	$1$	\(0\)	\(8\)	\(0\)	\(8\)		$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+4q^{3}+4q^{7}-11q^{9}+2\beta q^{11}+\beta q^{13}+\cdots\)
1600.4.a.cp	$1600$	$4$	1600.a	1.a	$1$	$2$	$2$	$94.403$	\(\Q(\sqrt{5}) \)	\(\Q(\sqrt{-5}) \)	✓	$2$	$1$	\(0\)	\(14\)	\(0\)	\(-18\)		$+$	$-$	$-$	$2$	$N(\mathrm{U}(1))$	\(q+(7-\beta )q^{3}+(-9+11\beta )q^{7}+(3^{3}-14\beta )q^{9}+\cdots\)
1600.4.a.cr	$1600$	$4$	1600.a	1.a	$1$	$3$	$3$	$94.403$	3.3.5685.1	None	✓	$1$	$1$	\(0\)	\(-5\)	\(0\)	\(-2\)		$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(-2-\beta _{1})q^{3}+(-1-\beta _{1}-\beta _{2})q^{7}+\cdots\)
1600.4.a.cs	$1600$	$4$	1600.a	1.a	$1$	$3$	$3$	$94.403$	3.3.5685.1	None	✓	$1$	$1$	\(0\)	\(5\)	\(0\)	\(2\)		$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(2+\beta _{1})q^{3}+(1+\beta _{1}+\beta _{2})q^{7}+(7+\cdots)q^{9}+\cdots\)