Elliptic curve search results

Results (14 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
33640.b2	33640f1	33640.b	33640f	$2$	$2$	\( 2^{3} \cdot 5 \cdot 29^{2} \)	\( 2^{4} \cdot 5^{2} \cdot 29^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.2	2B	$1160$	$48$	$1$	$1.318862807$	$1$		$7$	$8960$	$0.183766$	$4499456/25$	$0.98947$	$2.70485$	$[0, 1, 0, -251, -1610]$	\(y^2=x^3+x^2-251x-1610\)	2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.24.0.?, $\ldots$	$[(-9, 1)]$
33640.h2	33640b1	33640.h	33640b	$2$	$2$	\( 2^{3} \cdot 5 \cdot 29^{2} \)	\( 2^{4} \cdot 5^{2} \cdot 29^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.2	2B	$1160$	$48$	$1$	$1$	$9$	$3$	$1$	$259840$	$1.867414$	$4499456/25$	$0.98947$	$4.64315$	$[0, -1, 0, -211371, -37153480]$	\(y^2=x^3-x^2-211371x-37153480\)	2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.24.0.?, $\ldots$	$[]$
67280.b2	67280e1	67280.b	67280e	$2$	$2$	\( 2^{4} \cdot 5 \cdot 29^{2} \)	\( 2^{4} \cdot 5^{2} \cdot 29^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.2	2B	$1160$	$48$	$1$	$1$	$1$		$1$	$519680$	$1.867414$	$4499456/25$	$0.98947$	$4.35364$	$[0, 1, 0, -211371, 37153480]$	\(y^2=x^3+x^2-211371x+37153480\)	2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.24.0.?, $\ldots$	$[]$
67280.w2	67280d1	67280.w	67280d	$2$	$2$	\( 2^{4} \cdot 5 \cdot 29^{2} \)	\( 2^{4} \cdot 5^{2} \cdot 29^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.2	2B	$1160$	$48$	$1$	$1$	$1$		$1$	$17920$	$0.183766$	$4499456/25$	$0.98947$	$2.53620$	$[0, -1, 0, -251, 1610]$	\(y^2=x^3-x^2-251x+1610\)	2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.24.0.?, $\ldots$	$[]$
168200.f2	168200c1	168200.f	168200c	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 29^{2} \)	\( 2^{4} \cdot 5^{8} \cdot 29^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.2	2B	$1160$	$48$	$1$	$8.508702046$	$1$		$1$	$6236160$	$2.672134$	$4499456/25$	$0.98947$	$4.82463$	$[0, 1, 0, -5284283, -4654753562]$	\(y^2=x^3+x^2-5284283x-4654753562\)	2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.12.0.?, $\ldots$	$[(-12449/3, 85267/3)]$
168200.u2	168200x1	168200.u	168200x	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 29^{2} \)	\( 2^{4} \cdot 5^{8} \cdot 29^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.2	2B	$1160$	$48$	$1$	$1$	$1$		$1$	$215040$	$0.988485$	$4499456/25$	$0.98947$	$3.14559$	$[0, -1, 0, -6283, -188688]$	\(y^2=x^3-x^2-6283x-188688\)	2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.12.0.?, $\ldots$	$[]$
269120.g2	269120g1	269120.g	269120g	$2$	$2$	\( 2^{6} \cdot 5 \cdot 29^{2} \)	\( 2^{10} \cdot 5^{2} \cdot 29^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.2	2B	$1160$	$48$	$1$	$3.282728847$	$1$		$9$	$143360$	$0.530340$	$4499456/25$	$0.98947$	$2.58762$	$[0, 1, 0, -1005, 11875]$	\(y^2=x^3+x^2-1005x+11875\)	2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.12.0.?, $\ldots$	$[(15, 20), (-17, 156)]$
269120.h2	269120h1	269120.h	269120h	$2$	$2$	\( 2^{6} \cdot 5 \cdot 29^{2} \)	\( 2^{10} \cdot 5^{2} \cdot 29^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.2	2B	$1160$	$48$	$1$	$18.54717394$	$1$		$1$	$4157440$	$2.213989$	$4499456/25$	$0.98947$	$4.20355$	$[0, 1, 0, -845485, -298073325]$	\(y^2=x^3+x^2-845485x-298073325\)	2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.12.0.?, $\ldots$	$[(246367885/118, 3861797559325/118)]$
269120.cl2	269120cl1	269120.cl	269120cl	$2$	$2$	\( 2^{6} \cdot 5 \cdot 29^{2} \)	\( 2^{10} \cdot 5^{2} \cdot 29^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.2	2B	$1160$	$48$	$1$	$7.122375480$	$1$		$1$	$143360$	$0.530340$	$4499456/25$	$0.98947$	$2.58762$	$[0, -1, 0, -1005, -11875]$	\(y^2=x^3-x^2-1005x-11875\)	2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.12.0.?, $\ldots$	$[(2125/6, 78175/6)]$
269120.cm2	269120cm1	269120.cm	269120cm	$2$	$2$	\( 2^{6} \cdot 5 \cdot 29^{2} \)	\( 2^{10} \cdot 5^{2} \cdot 29^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.2	2B	$1160$	$48$	$1$	$1$	$4$	$2$	$1$	$4157440$	$2.213989$	$4499456/25$	$0.98947$	$4.20355$	$[0, -1, 0, -845485, 298073325]$	\(y^2=x^3-x^2-845485x+298073325\)	2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.12.0.?, $\ldots$	$[]$
302760.bz2	302760bz1	302760.bz	302760bz	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 29^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 29^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.2	2B	$3480$	$48$	$1$	$3.066679669$	$1$		$9$	$215040$	$0.733072$	$4499456/25$	$0.98947$	$2.75624$	$[0, 0, 0, -2262, 41209]$	\(y^2=x^3-2262x+41209\)	2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.12.0.?, $\ldots$	$[(0, 203), (-52, 135)]$
302760.cb2	302760cb1	302760.cb	302760cb	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 29^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 29^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.2	2B	$3480$	$48$	$1$	$9.830432328$	$1$		$1$	$6236160$	$2.416721$	$4499456/25$	$0.98947$	$4.35708$	$[0, 0, 0, -1902342, 1005046301]$	\(y^2=x^3-1902342x+1005046301\)	2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.12.0.?, $\ldots$	$[(70237/9, 1992950/9)]$
336400.l2	336400l1	336400.l	336400l	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 29^{2} \)	\( 2^{4} \cdot 5^{8} \cdot 29^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.2	2B	$1160$	$48$	$1$	$1$	$1$		$1$	$430080$	$0.988485$	$4499456/25$	$0.98947$	$2.97426$	$[0, 1, 0, -6283, 188688]$	\(y^2=x^3+x^2-6283x+188688\)	2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.12.0.?, $\ldots$	$[]$
336400.cc2	336400cc1	336400.cc	336400cc	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 29^{2} \)	\( 2^{4} \cdot 5^{8} \cdot 29^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.2	2B	$1160$	$48$	$1$	$1$	$1$		$1$	$12472320$	$2.672134$	$4499456/25$	$0.98947$	$4.56185$	$[0, -1, 0, -5284283, 4654753562]$	\(y^2=x^3-x^2-5284283x+4654753562\)	2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.12.0.?, $\ldots$	$[]$