Elliptic curve search results

Results (8 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
39039.d2	39039d1	39039.d	39039d	$2$	$2$	\( 3 \cdot 7 \cdot 11 \cdot 13^{2} \)	\( - 3^{4} \cdot 7^{6} \cdot 11^{5} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4004$	$12$	$0$	$1$	$1$		$1$	$207360$	$1.666050$	$1392134518764179/1534746617019$	$0.97496$	$4.02603$	$[1, 1, 1, 30241, -1913020]$	\(y^2+xy+y=x^3+x^2+30241x-1913020\)	2.3.0.a.1, 286.6.0.?, 308.6.0.?, 364.6.0.?, 4004.12.0.?	$[]$
39039.t2	39039p1	39039.t	39039p	$2$	$2$	\( 3 \cdot 7 \cdot 11 \cdot 13^{2} \)	\( - 3^{4} \cdot 7^{6} \cdot 11^{5} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4004$	$12$	$0$	$1$	$1$		$1$	$2695680$	$2.948524$	$1392134518764179/1534746617019$	$0.97496$	$5.48169$	$[1, 1, 0, 5110726, -4228458177]$	\(y^2+xy=x^3+x^2+5110726x-4228458177\)	2.3.0.a.1, 286.6.0.?, 308.6.0.?, 364.6.0.?, 4004.12.0.?	$[]$
117117.m2	117117bm1	117117.m	117117bm	$2$	$2$	\( 3^{2} \cdot 7 \cdot 11 \cdot 13^{2} \)	\( - 3^{10} \cdot 7^{6} \cdot 11^{5} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4004$	$12$	$0$	$1$	$1$		$1$	$21565440$	$3.497833$	$1392134518764179/1534746617019$	$0.97496$	$5.53048$	$[1, -1, 1, 45996529, 114214367310]$	\(y^2+xy+y=x^3-x^2+45996529x+114214367310\)	2.3.0.a.1, 286.6.0.?, 308.6.0.?, 364.6.0.?, 4004.12.0.?	$[]$
117117.bq2	117117bd1	117117.bq	117117bd	$2$	$2$	\( 3^{2} \cdot 7 \cdot 11 \cdot 13^{2} \)	\( - 3^{10} \cdot 7^{6} \cdot 11^{5} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4004$	$12$	$0$	$1$	$1$		$1$	$1658880$	$2.215355$	$1392134518764179/1534746617019$	$0.97496$	$4.21184$	$[1, -1, 0, 272169, 51923704]$	\(y^2+xy=x^3-x^2+272169x+51923704\)	2.3.0.a.1, 286.6.0.?, 308.6.0.?, 364.6.0.?, 4004.12.0.?	$[]$
273273.v2	273273v1	273273.v	273273v	$2$	$2$	\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \)	\( - 3^{4} \cdot 7^{12} \cdot 11^{5} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4004$	$12$	$0$	$1$	$1$		$1$	$9953280$	$2.639004$	$1392134518764179/1534746617019$	$0.97496$	$4.33288$	$[1, 0, 0, 1481808, 660611223]$	\(y^2+xy=x^3+1481808x+660611223\)	2.3.0.a.1, 286.6.0.?, 308.6.0.?, 364.6.0.?, 4004.12.0.?	$[]$
273273.bt2	273273bt1	273273.bt	273273bt	$2$	$2$	\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \)	\( - 3^{4} \cdot 7^{12} \cdot 11^{5} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4004$	$12$	$0$	$7.520687209$	$1$		$1$	$129392640$	$3.921482$	$1392134518764179/1534746617019$	$0.97496$	$5.56226$	$[1, 0, 1, 250425548, 1451112431381]$	\(y^2+xy+y=x^3+250425548x+1451112431381\)	2.3.0.a.1, 286.6.0.?, 308.6.0.?, 364.6.0.?, 4004.12.0.?	$[(960943/13, 3836236340/13)]$
429429.x2	429429x1	429429.x	429429x	$2$	$2$	\( 3 \cdot 7 \cdot 11^{2} \cdot 13^{2} \)	\( - 3^{4} \cdot 7^{6} \cdot 11^{11} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4004$	$12$	$0$	$26.37689411$	$1$		$1$	$323481600$	$4.147476$	$1392134518764179/1534746617019$	$0.97496$	$5.57751$	$[1, 1, 1, 618397783, 5631169822598]$	\(y^2+xy+y=x^3+x^2+618397783x+5631169822598\)	2.3.0.a.1, 286.6.0.?, 308.6.0.?, 364.6.0.?, 4004.12.0.?	$[(-67028284357846/196513, 16198679080342174229677/196513)]$
429429.cs2	429429cs1	429429.cs	429429cs	$2$	$2$	\( 3 \cdot 7 \cdot 11^{2} \cdot 13^{2} \)	\( - 3^{4} \cdot 7^{6} \cdot 11^{11} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4004$	$12$	$0$	$1$	$1$		$1$	$24883200$	$2.864998$	$1392134518764179/1534746617019$	$0.97496$	$4.39097$	$[1, 1, 0, 3659159, 2564525176]$	\(y^2+xy=x^3+x^2+3659159x+2564525176\)	2.3.0.a.1, 286.6.0.?, 308.6.0.?, 364.6.0.?, 4004.12.0.?	$[]$