Elliptic curve search results

Results (11 matches)

 

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
14586.g1	14586e1	14586.g	14586e	$1$	$1$	\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{2} \cdot 3^{5} \cdot 11 \cdot 13 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$29172$	$2$	$0$	$0.255307693$	$1$		$6$	$2400$	$-0.097704$	$18191447/2362932$	$0.84393$	$2.30769$	$[1, 0, 1, 5, 74]$	\(y^2+xy+y=x^3+5x+74\)	29172.2.0.?	$[(1, 8)]$
43758.l1	43758r1	43758.l	43758r	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{2} \cdot 3^{11} \cdot 11 \cdot 13 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$29172$	$2$	$0$	$1$	$1$		$0$	$19200$	$0.451602$	$18191447/2362932$	$0.84393$	$2.68727$	$[1, -1, 1, 49, -2005]$	\(y^2+xy+y=x^3-x^2+49x-2005\)	29172.2.0.?	$[]$
116688.j1	116688j1	116688.j	116688j	$1$	$1$	\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{14} \cdot 3^{5} \cdot 11 \cdot 13 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$29172$	$2$	$0$	$1$	$1$		$0$	$57600$	$0.595444$	$18191447/2362932$	$0.84393$	$2.60930$	$[0, -1, 0, 88, -4752]$	\(y^2=x^3-x^2+88x-4752\)	29172.2.0.?	$[]$
160446.bt1	160446n1	160446.bt	160446n	$1$	$1$	\( 2 \cdot 3 \cdot 11^{2} \cdot 13 \cdot 17 \)	\( - 2^{2} \cdot 3^{5} \cdot 11^{7} \cdot 13 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$29172$	$2$	$0$	$1$	$1$		$0$	$288000$	$1.101244$	$18191447/2362932$	$0.84393$	$3.04638$	$[1, 0, 0, 663, -98163]$	\(y^2+xy=x^3+663x-98163\)	29172.2.0.?	$[]$
189618.bn1	189618f1	189618.bn	189618f	$1$	$1$	\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 17 \)	\( - 2^{2} \cdot 3^{5} \cdot 11 \cdot 13^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$29172$	$2$	$0$	$0.490285593$	$1$		$2$	$403200$	$1.184771$	$18191447/2362932$	$0.84393$	$3.08698$	$[1, 0, 0, 926, 162200]$	\(y^2+xy=x^3+926x+162200\)	29172.2.0.?	$[(92, 968)]$
247962.d1	247962d1	247962.d	247962d	$1$	$1$	\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{5} \cdot 11 \cdot 13 \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$29172$	$2$	$0$	$1.545663798$	$1$		$2$	$691200$	$1.318903$	$18191447/2362932$	$0.84393$	$3.14990$	$[1, 1, 0, 1584, 363204]$	\(y^2+xy=x^3+x^2+1584x+363204\)	29172.2.0.?	$[(-16, 586)]$
350064.k1	350064k1	350064.k	350064k	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{14} \cdot 3^{11} \cdot 11 \cdot 13 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$29172$	$2$	$0$	$1.246792328$	$1$		$4$	$460800$	$1.144749$	$18191447/2362932$	$0.84393$	$2.90110$	$[0, 0, 0, 789, 127514]$	\(y^2=x^3+789x+127514\)	29172.2.0.?	$[(-41, 162)]$
364650.du1	364650du1	364650.du	364650du	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{2} \cdot 3^{5} \cdot 5^{6} \cdot 11 \cdot 13 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$29172$	$2$	$0$	$2.909725446$	$1$		$2$	$307200$	$0.707015$	$18191447/2362932$	$0.84393$	$2.48169$	$[1, 1, 1, 137, 9281]$	\(y^2+xy+y=x^3+x^2+137x+9281\)	29172.2.0.?	$[(115, 1192)]$
466752.s1	466752s1	466752.s	466752s	$1$	$1$	\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{20} \cdot 3^{5} \cdot 11 \cdot 13 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$29172$	$2$	$0$	$1$	$1$		$0$	$460800$	$0.942017$	$18191447/2362932$	$0.84393$	$2.65080$	$[0, -1, 0, 351, 37665]$	\(y^2=x^3-x^2+351x+37665\)	29172.2.0.?	$[]$
466752.co1	466752co1	466752.co	466752co	$1$	$1$	\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{20} \cdot 3^{5} \cdot 11 \cdot 13 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$29172$	$2$	$0$	$0.851938576$	$1$		$4$	$460800$	$0.942017$	$18191447/2362932$	$0.84393$	$2.65080$	$[0, 1, 0, 351, -37665]$	\(y^2=x^3+x^2+351x-37665\)	29172.2.0.?	$[(39, 192)]$
481338.i1	481338i1	481338.i	481338i	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \cdot 17 \)	\( - 2^{2} \cdot 3^{11} \cdot 11^{7} \cdot 13 \cdot 17 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$29172$	$2$	$0$	$1.935832859$	$1$		$12$	$2304000$	$1.650549$	$18191447/2362932$	$0.84393$	$3.29438$	$[1, -1, 0, 5967, 2650401]$	\(y^2+xy=x^3-x^2+5967x+2650401\)	29172.2.0.?	$[(3, 1632), (-96, 1137)]$