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
47190.o2	47190i1	47190.o	47190i	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{2} \cdot 3^{2} \cdot 5^{3} \cdot 11^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5720$	$12$	$0$	$0.450144884$	$1$		$9$	$20736$	$0.412222$	$356400829/760500$	$0.87234$	$2.59003$	$[1, 1, 0, 163, -1239]$	\(y^2+xy=x^3+x^2+163x-1239\)	2.3.0.a.1, 110.6.0.?, 520.6.0.?, 1144.6.0.?, 5720.12.0.?	$[(17, 74)]$
47190.ca2	47190bv1	47190.ca	47190bv	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{2} \cdot 3^{2} \cdot 5^{3} \cdot 11^{9} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5720$	$12$	$0$	$2.088841684$	$1$		$3$	$228096$	$1.611170$	$356400829/760500$	$0.87234$	$3.92691$	$[1, 1, 1, 19660, 1747505]$	\(y^2+xy+y=x^3+x^2+19660x+1747505\)	2.3.0.a.1, 110.6.0.?, 520.6.0.?, 1144.6.0.?, 5720.12.0.?	$[(33, 1543)]$
141570.o2	141570dz1	141570.o	141570dz	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{2} \cdot 3^{8} \cdot 5^{3} \cdot 11^{9} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5720$	$12$	$0$	$1$	$1$		$1$	$1824768$	$2.160477$	$356400829/760500$	$0.87234$	$4.11893$	$[1, -1, 0, 176940, -47005700]$	\(y^2+xy=x^3-x^2+176940x-47005700\)	2.3.0.a.1, 110.6.0.?, 520.6.0.?, 1144.6.0.?, 5720.12.0.?	$[]$
141570.dj2	141570bu1	141570.dj	141570bu	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{2} \cdot 3^{8} \cdot 5^{3} \cdot 11^{3} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5720$	$12$	$0$	$1$	$1$		$1$	$165888$	$0.961528$	$356400829/760500$	$0.87234$	$2.90589$	$[1, -1, 1, 1462, 34917]$	\(y^2+xy+y=x^3-x^2+1462x+34917\)	2.3.0.a.1, 110.6.0.?, 520.6.0.?, 1144.6.0.?, 5720.12.0.?	$[]$
235950.dl2	235950dl1	235950.dl	235950dl	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 2^{2} \cdot 3^{2} \cdot 5^{9} \cdot 11^{9} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5720$	$12$	$0$	$2.829919147$	$1$		$3$	$5474304$	$2.415890$	$356400829/760500$	$0.87234$	$4.19661$	$[1, 0, 1, 491499, 217455148]$	\(y^2+xy+y=x^3+491499x+217455148\)	2.3.0.a.1, 110.6.0.?, 520.6.0.?, 1144.6.0.?, 5720.12.0.?	$[(817, 33716)]$
235950.hy2	235950hy1	235950.hy	235950hy	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 2^{2} \cdot 3^{2} \cdot 5^{9} \cdot 11^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5720$	$12$	$0$	$2.651539313$	$1$		$1$	$497664$	$1.216940$	$356400829/760500$	$0.87234$	$3.03365$	$[1, 0, 0, 4062, -163008]$	\(y^2+xy=x^3+4062x-163008\)	2.3.0.a.1, 110.6.0.?, 520.6.0.?, 1144.6.0.?, 5720.12.0.?	$[(623/2, 15877/2)]$
377520.gw2	377520gw1	377520.gw	377520gw	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{14} \cdot 3^{2} \cdot 5^{3} \cdot 11^{9} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5720$	$12$	$0$	$1$	$1$		$1$	$5474304$	$2.304317$	$356400829/760500$	$0.87234$	$3.93874$	$[0, 1, 0, 314560, -111211212]$	\(y^2=x^3+x^2+314560x-111211212\)	2.3.0.a.1, 110.6.0.?, 520.6.0.?, 1144.6.0.?, 5720.12.0.?	$[]$
377520.hd2	377520hd1	377520.hd	377520hd	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{14} \cdot 3^{2} \cdot 5^{3} \cdot 11^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5720$	$12$	$0$	$0.887687282$	$1$		$7$	$497664$	$1.105370$	$356400829/760500$	$0.87234$	$2.81835$	$[0, 1, 0, 2600, 84500]$	\(y^2=x^3+x^2+2600x+84500\)	2.3.0.a.1, 110.6.0.?, 520.6.0.?, 1144.6.0.?, 5720.12.0.?	$[(-10, 240)]$