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.o1	47190i2	47190.o	47190i	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2 \cdot 3^{4} \cdot 5^{6} \cdot 11^{3} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5720$	$12$	$0$	$0.900289768$	$1$		$6$	$41472$	$0.758796$	$169204136291/32906250$	$0.90699$	$3.07083$	$[1, 1, 0, -1267, -14681]$	\(y^2+xy=x^3+x^2-1267x-14681\)	2.3.0.a.1, 220.6.0.?, 520.6.0.?, 1144.6.0.?, 5720.12.0.?	$[(43, 91)]$
47190.ca1	47190bv2	47190.ca	47190bv	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2 \cdot 3^{4} \cdot 5^{6} \cdot 11^{9} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5720$	$12$	$0$	$4.177683368$	$1$		$0$	$456192$	$1.957743$	$169204136291/32906250$	$0.90699$	$4.40770$	$[1, 1, 1, -153370, 18773657]$	\(y^2+xy+y=x^3+x^2-153370x+18773657\)	2.3.0.a.1, 220.6.0.?, 520.6.0.?, 1144.6.0.?, 5720.12.0.?	$[(1463/2, 25983/2)]$
141570.o1	141570dz2	141570.o	141570dz	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2 \cdot 3^{10} \cdot 5^{6} \cdot 11^{9} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5720$	$12$	$0$	$1$	$1$		$0$	$3649536$	$2.507050$	$169204136291/32906250$	$0.90699$	$4.55519$	$[1, -1, 0, -1380330, -508269074]$	\(y^2+xy=x^3-x^2-1380330x-508269074\)	2.3.0.a.1, 220.6.0.?, 520.6.0.?, 1144.6.0.?, 5720.12.0.?	$[]$
141570.dj1	141570bu2	141570.dj	141570bu	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2 \cdot 3^{10} \cdot 5^{6} \cdot 11^{3} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5720$	$12$	$0$	$1$	$1$		$0$	$331776$	$1.308102$	$169204136291/32906250$	$0.90699$	$3.34215$	$[1, -1, 1, -11408, 384981]$	\(y^2+xy+y=x^3-x^2-11408x+384981\)	2.3.0.a.1, 220.6.0.?, 520.6.0.?, 1144.6.0.?, 5720.12.0.?	$[]$
235950.dl1	235950dl2	235950.dl	235950dl	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( 2 \cdot 3^{4} \cdot 5^{12} \cdot 11^{9} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5720$	$12$	$0$	$5.659838294$	$1$		$0$	$10948608$	$2.762463$	$169204136291/32906250$	$0.90699$	$4.61485$	$[1, 0, 1, -3834251, 2354375648]$	\(y^2+xy+y=x^3-3834251x+2354375648\)	2.3.0.a.1, 220.6.0.?, 520.6.0.?, 1144.6.0.?, 5720.12.0.?	$[(14008/3, 318037/3)]$
235950.hy1	235950hy2	235950.hy	235950hy	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( 2 \cdot 3^{4} \cdot 5^{12} \cdot 11^{3} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5720$	$12$	$0$	$5.303078627$	$1$		$0$	$995328$	$1.563515$	$169204136291/32906250$	$0.90699$	$3.45189$	$[1, 0, 0, -31688, -1771758]$	\(y^2+xy=x^3-31688x-1771758\)	2.3.0.a.1, 220.6.0.?, 520.6.0.?, 1144.6.0.?, 5720.12.0.?	$[(7687/6, 214439/6)]$
377520.gw1	377520gw2	377520.gw	377520gw	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2^{13} \cdot 3^{4} \cdot 5^{6} \cdot 11^{9} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5720$	$12$	$0$	$1$	$1$		$1$	$10948608$	$2.650890$	$169204136291/32906250$	$0.90699$	$4.34168$	$[0, 1, 0, -2453920, -1206421900]$	\(y^2=x^3+x^2-2453920x-1206421900\)	2.3.0.a.1, 220.6.0.?, 520.6.0.?, 1144.6.0.?, 5720.12.0.?	$[]$
377520.hd1	377520hd2	377520.hd	377520hd	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2^{13} \cdot 3^{4} \cdot 5^{6} \cdot 11^{3} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5720$	$12$	$0$	$0.443843641$	$1$		$11$	$995328$	$1.451942$	$169204136291/32906250$	$0.90699$	$3.22129$	$[0, 1, 0, -20280, 899028]$	\(y^2=x^3+x^2-20280x+899028\)	2.3.0.a.1, 220.6.0.?, 520.6.0.?, 1144.6.0.?, 5720.12.0.?	$[(126, 600)]$