Newform search results

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

Results (24 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
1200.4.a.a	$1200$	$4$	1200.a	1.a	$1$	$1$	$1$	$70.802$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(-28\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-28q^{7}+9q^{9}+24q^{11}+70q^{13}+\cdots\)
1200.4.a.b	$1200$	$4$	1200.a	1.a	$1$	$1$	$1$	$70.802$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(-16\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-2^{4}q^{7}+9q^{9}-12q^{11}-38q^{13}+\cdots\)
1200.4.a.d	$1200$	$4$	1200.a	1.a	$1$	$1$	$1$	$70.802$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(-13\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-13q^{7}+9q^{9}-6q^{11}-5q^{13}+\cdots\)
1200.4.a.e	$1200$	$4$	1200.a	1.a	$1$	$1$	$1$	$70.802$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(-10\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-10q^{7}+9q^{9}+14q^{11}-82q^{13}+\cdots\)
1200.4.a.f	$1200$	$4$	1200.a	1.a	$1$	$1$	$1$	$70.802$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(-10\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-10q^{7}+9q^{9}+46q^{11}-34q^{13}+\cdots\)
1200.4.a.g	$1200$	$4$	1200.a	1.a	$1$	$1$	$1$	$70.802$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(-5\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-5q^{7}+9q^{9}-14q^{11}+q^{13}+\cdots\)
1200.4.a.i	$1200$	$4$	1200.a	1.a	$1$	$1$	$1$	$70.802$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-q^{7}+9q^{9}-42q^{11}+67q^{13}+\cdots\)
1200.4.a.l	$1200$	$4$	1200.a	1.a	$1$	$1$	$1$	$70.802$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+4q^{7}+9q^{9}+28q^{11}+2^{4}q^{13}+\cdots\)
1200.4.a.n	$1200$	$4$	1200.a	1.a	$1$	$1$	$1$	$70.802$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(19\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+19q^{7}+9q^{9}-22q^{11}+q^{13}+\cdots\)
1200.4.a.o	$1200$	$4$	1200.a	1.a	$1$	$1$	$1$	$70.802$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(20\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+20q^{7}+9q^{9}+24q^{11}-74q^{13}+\cdots\)
1200.4.a.r	$1200$	$4$	1200.a	1.a	$1$	$1$	$1$	$70.802$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(23\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+23q^{7}+9q^{9}+30q^{11}-29q^{13}+\cdots\)
1200.4.a.s	$1200$	$4$	1200.a	1.a	$1$	$1$	$1$	$70.802$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(32\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+2^{5}q^{7}+9q^{9}-6^{2}q^{11}+10q^{13}+\cdots\)
1200.4.a.u	$1200$	$4$	1200.a	1.a	$1$	$1$	$1$	$70.802$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(0\)	\(-24\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-24q^{7}+9q^{9}+28q^{11}+74q^{13}+\cdots\)
1200.4.a.v	$1200$	$4$	1200.a	1.a	$1$	$1$	$1$	$70.802$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(0\)	\(-23\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-23q^{7}+9q^{9}+30q^{11}+29q^{13}+\cdots\)
1200.4.a.w	$1200$	$4$	1200.a	1.a	$1$	$1$	$1$	$70.802$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(0\)	\(-22\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-22q^{7}+9q^{9}+14q^{11}-30q^{13}+\cdots\)
1200.4.a.x	$1200$	$4$	1200.a	1.a	$1$	$1$	$1$	$70.802$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(0\)	\(-19\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-19q^{7}+9q^{9}-22q^{11}-q^{13}+\cdots\)
1200.4.a.bb	$1200$	$4$	1200.a	1.a	$1$	$1$	$1$	$70.802$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(0\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+q^{7}+9q^{9}-42q^{11}-67q^{13}+\cdots\)
1200.4.a.bc	$1200$	$4$	1200.a	1.a	$1$	$1$	$1$	$70.802$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(0\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+2q^{7}+9q^{9}-70q^{11}+54q^{13}+\cdots\)
1200.4.a.bd	$1200$	$4$	1200.a	1.a	$1$	$1$	$1$	$70.802$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(0\)	\(5\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+5q^{7}+9q^{9}-14q^{11}-q^{13}+\cdots\)
1200.4.a.bf	$1200$	$4$	1200.a	1.a	$1$	$1$	$1$	$70.802$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(0\)	\(8\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+8q^{7}+9q^{9}-20q^{11}-22q^{13}+\cdots\)
1200.4.a.bi	$1200$	$4$	1200.a	1.a	$1$	$1$	$1$	$70.802$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(0\)	\(13\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+13q^{7}+9q^{9}-6q^{11}+5q^{13}+\cdots\)
1200.4.a.bj	$1200$	$4$	1200.a	1.a	$1$	$1$	$1$	$70.802$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(0\)	\(20\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+20q^{7}+9q^{9}-2^{4}q^{11}-58q^{13}+\cdots\)
1200.4.a.bo	$1200$	$4$	1200.a	1.a	$1$	$2$	$2$	$70.802$	\(\Q(\sqrt{129}) \)	None	✓	$1$	$1$	\(0\)	\(-6\)	\(0\)	\(2\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-3q^{3}+(1+3\beta )q^{7}+9q^{9}+(-37+\cdots)q^{11}+\cdots\)
1200.4.a.bt	$1200$	$4$	1200.a	1.a	$1$	$2$	$2$	$70.802$	\(\Q(\sqrt{41}) \)	None	✓	$1$	$1$	\(0\)	\(6\)	\(0\)	\(6\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+3q^{3}+(3+3\beta )q^{7}+9q^{9}+(21-3\beta )q^{11}+\cdots\)