Elliptic curve search results

Results (11 matches)

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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
13260.m1	13260p2	13260.m	13260p	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{5} \cdot 5^{8} \cdot 13^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$0.238219241$	$1$		$13$	$46080$	$1.421381$	$6541847063933776/272710546875$	$0.91428$	$4.42056$	$[0, 1, 0, -24740, -1451100]$	\(y^2=x^3+x^2-24740x-1451100\)	2.3.0.a.1, 52.6.0.c.1, 204.6.0.?, 2652.12.0.?	$[(-80, 150)]$
39780.b1	39780m2	39780.b	39780m	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{11} \cdot 5^{8} \cdot 13^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$4.965671127$	$1$		$3$	$368640$	$1.970688$	$6541847063933776/272710546875$	$0.91428$	$4.58439$	$[0, 0, 0, -222663, 38957038]$	\(y^2=x^3-222663x+38957038\)	2.3.0.a.1, 52.6.0.c.1, 204.6.0.?, 2652.12.0.?	$[(522, 8060)]$
53040.bj1	53040bw2	53040.bj	53040bw	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{5} \cdot 5^{8} \cdot 13^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1$	$1$		$1$	$184320$	$1.421381$	$6541847063933776/272710546875$	$0.91428$	$3.85724$	$[0, -1, 0, -24740, 1451100]$	\(y^2=x^3-x^2-24740x+1451100\)	2.3.0.a.1, 52.6.0.c.1, 204.6.0.?, 2652.12.0.?	$[ ]$
66300.u1	66300j2	66300.u	66300j	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{5} \cdot 5^{14} \cdot 13^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$19.33263194$	$1$		$1$	$1105920$	$2.226101$	$6541847063933776/272710546875$	$0.91428$	$4.64953$	$[0, -1, 0, -618508, -180150488]$	\(y^2=x^3-x^2-618508x-180150488\)	2.3.0.a.1, 52.6.0.c.1, 204.6.0.?, 2652.12.0.?	$[(-251946699/754, 1111112585933/754)]$
159120.cg1	159120ce2	159120.cg	159120ce	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{11} \cdot 5^{8} \cdot 13^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$9.856216656$	$1$		$3$	$1474560$	$1.970688$	$6541847063933776/272710546875$	$0.91428$	$4.05378$	$[0, 0, 0, -222663, -38957038]$	\(y^2=x^3-222663x-38957038\)	2.3.0.a.1, 52.6.0.c.1, 204.6.0.?, 2652.12.0.?	$[(206074, 93547818)]$
172380.y1	172380q2	172380.y	172380q	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2^{8} \cdot 3^{5} \cdot 5^{8} \cdot 13^{8} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1$	$4$	$2$	$1$	$7741440$	$2.703857$	$6541847063933776/272710546875$	$0.91428$	$4.75655$	$[0, 1, 0, -4181116, -3171342316]$	\(y^2=x^3+x^2-4181116x-3171342316\)	2.3.0.a.1, 52.6.0.c.1, 204.6.0.?, 2652.12.0.?	$[ ]$
198900.ck1	198900ca2	198900.ck	198900ca	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{11} \cdot 5^{14} \cdot 13^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$2.366531392$	$1$		$3$	$8847360$	$2.775406$	$6541847063933776/272710546875$	$0.91428$	$4.77113$	$[0, 0, 0, -5566575, 4869629750]$	\(y^2=x^3-5566575x+4869629750\)	2.3.0.a.1, 52.6.0.c.1, 204.6.0.?, 2652.12.0.?	$[(835, 28350)]$
212160.c1	212160hb2	212160.c	212160hb	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{14} \cdot 3^{5} \cdot 5^{8} \cdot 13^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$3.171084497$	$1$		$5$	$1474560$	$1.767956$	$6541847063933776/272710546875$	$0.91428$	$3.76035$	$[0, -1, 0, -98961, -11509839]$	\(y^2=x^3-x^2-98961x-11509839\)	2.3.0.a.1, 52.6.0.c.1, 204.6.0.?, 2652.12.0.?	$[(416, 4375)]$
212160.fs1	212160by2	212160.fs	212160by	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{14} \cdot 3^{5} \cdot 5^{8} \cdot 13^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$2.746268386$	$1$		$3$	$1474560$	$1.767956$	$6541847063933776/272710546875$	$0.91428$	$3.76035$	$[0, 1, 0, -98961, 11509839]$	\(y^2=x^3+x^2-98961x+11509839\)	2.3.0.a.1, 52.6.0.c.1, 204.6.0.?, 2652.12.0.?	$[(417, 6552)]$
225420.h1	225420bp2	225420.h	225420bp	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{5} \cdot 5^{8} \cdot 13^{2} \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1$	$4$	$2$	$1$	$13271040$	$2.837990$	$6541847063933776/272710546875$	$0.91428$	$4.78361$	$[0, -1, 0, -7149956, -7086354744]$	\(y^2=x^3-x^2-7149956x-7086354744\)	2.3.0.a.1, 52.6.0.c.1, 204.6.0.?, 2652.12.0.?	$[ ]$
265200.dw1	265200dw2	265200.dw	265200dw	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{5} \cdot 5^{14} \cdot 13^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1$	$1$		$1$	$4423680$	$2.226101$	$6541847063933776/272710546875$	$0.91428$	$4.13339$	$[0, 1, 0, -618508, 180150488]$	\(y^2=x^3+x^2-618508x+180150488\)	2.3.0.a.1, 52.6.0.c.1, 204.6.0.?, 2652.12.0.?	$[ ]$

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