Elliptic curve search results

Results (12 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
19074.e2	19074c1	19074.e	19074c	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 17^{2} \)	\( 2^{2} \cdot 3^{3} \cdot 11 \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$4$	$2$	$1$	$104448$	$1.487705$	$35611289/1188$	$0.86652$	$4.35133$	$[1, 1, 0, -33674, 2294880]$	\(y^2+xy=x^3+x^2-33674x+2294880\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 1122.6.0.?, 4488.12.0.?	$[]$
19074.f2	19074i1	19074.f	19074i	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 17^{2} \)	\( 2^{2} \cdot 3^{3} \cdot 11 \cdot 17^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$0.758367355$	$1$		$19$	$6144$	$0.071099$	$35611289/1188$	$0.86652$	$2.62658$	$[1, 0, 1, -117, 460]$	\(y^2+xy+y=x^3-117x+460\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 1122.6.0.?, 4488.12.0.?	$[(5, 0), (8, 3)]$
57222.bk2	57222bj1	57222.bk	57222bj	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{2} \cdot 3^{9} \cdot 11 \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$23.13274885$	$1$		$1$	$835584$	$2.037010$	$35611289/1188$	$0.86652$	$4.51667$	$[1, -1, 1, -303071, -62264829]$	\(y^2+xy+y=x^3-x^2-303071x-62264829\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 1122.6.0.?, 4488.12.0.?	$[(33291095105/544, 6065094068732943/544)]$
57222.br2	57222bs1	57222.br	57222bs	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{2} \cdot 3^{9} \cdot 11 \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$49152$	$0.620404$	$35611289/1188$	$0.86652$	$2.96489$	$[1, -1, 1, -1049, -12427]$	\(y^2+xy+y=x^3-x^2-1049x-12427\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 1122.6.0.?, 4488.12.0.?	$[]$
152592.q2	152592bu1	152592.q	152592bu	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \)	\( 2^{14} \cdot 3^{3} \cdot 11 \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$4.765990950$	$1$		$3$	$147456$	$0.764246$	$35611289/1188$	$0.86652$	$2.86586$	$[0, -1, 0, -1864, -29456]$	\(y^2=x^3-x^2-1864x-29456\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 1122.6.0.?, 4488.12.0.?	$[(93, 770)]$
152592.cu2	152592x1	152592.cu	152592x	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \)	\( 2^{14} \cdot 3^{3} \cdot 11 \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$7.583043632$	$1$		$3$	$2506752$	$2.180851$	$35611289/1188$	$0.86652$	$4.29012$	$[0, 1, 0, -538792, -147949900]$	\(y^2=x^3+x^2-538792x-147949900\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 1122.6.0.?, 4488.12.0.?	$[(1543, 51930)]$
209814.ck2	209814bd1	209814.ck	209814bd	$2$	$2$	\( 2 \cdot 3 \cdot 11^{2} \cdot 17^{2} \)	\( 2^{2} \cdot 3^{3} \cdot 11^{7} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$50.48230178$	$1$		$1$	$12533760$	$2.686653$	$35611289/1188$	$0.86652$	$4.67395$	$[1, 1, 1, -4074617, -3074858269]$	\(y^2+xy+y=x^3+x^2-4074617x-3074858269\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 1122.6.0.?, 4488.12.0.?	$[(91088980286764242791225/1054927232, 27435245257698094298324551305929171/1054927232)]$
209814.da2	209814h1	209814.da	209814h	$2$	$2$	\( 2 \cdot 3 \cdot 11^{2} \cdot 17^{2} \)	\( 2^{2} \cdot 3^{3} \cdot 11^{7} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$737280$	$1.270046$	$35611289/1188$	$0.86652$	$3.28670$	$[1, 0, 0, -14099, -626691]$	\(y^2+xy=x^3-14099x-626691\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 1122.6.0.?, 4488.12.0.?	$[]$
457776.v2	457776v1	457776.v	457776v	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{14} \cdot 3^{9} \cdot 11 \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$20054016$	$2.730160$	$35611289/1188$	$0.86652$	$4.43424$	$[0, 0, 0, -4849131, 3989798170]$	\(y^2=x^3-4849131x+3989798170\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 1122.6.0.?, 4488.12.0.?	$[]$
457776.ff2	457776ff1	457776.ff	457776ff	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{14} \cdot 3^{9} \cdot 11 \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$4.652700565$	$1$		$3$	$1179648$	$1.313551$	$35611289/1188$	$0.86652$	$3.13003$	$[0, 0, 0, -16779, 812090]$	\(y^2=x^3-16779x+812090\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 1122.6.0.?, 4488.12.0.?	$[(310, 5040)]$
476850.hx2	476850hx1	476850.hx	476850hx	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{2} \cdot 3^{3} \cdot 5^{6} \cdot 11 \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$786432$	$0.875817$	$35611289/1188$	$0.86652$	$2.71851$	$[1, 1, 1, -2913, 57531]$	\(y^2+xy+y=x^3+x^2-2913x+57531\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 1122.6.0.?, 4488.12.0.?	$[]$
476850.ih2	476850ih1	476850.ih	476850ih	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{2} \cdot 3^{3} \cdot 5^{6} \cdot 11 \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$13369344$	$2.292423$	$35611289/1188$	$0.86652$	$4.01865$	$[1, 0, 0, -841863, 288543717]$	\(y^2+xy=x^3-841863x+288543717\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 1122.6.0.?, 4488.12.0.?	$[]$