Elliptic curve search results

Results (8 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
42900.l2	42900m2	42900.l	42900m	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{8} \cdot 3^{14} \cdot 5^{9} \cdot 11^{6} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$1$	$25$	$5$	$1$	$4757760$	$3.345211$	$-394554859317462604304/110153177479917$	$0.99738$	$6.32392$	$[0, -1, 0, -121278708, -514156754088]$	\(y^2=x^3-x^2-121278708x-514156754088\)	2.3.0.a.1, 260.6.0.?, 660.6.0.?, 1716.6.0.?, 8580.12.0.?	$[ ]$
42900.be2	42900bg2	42900.be	42900bg	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{8} \cdot 3^{14} \cdot 5^{3} \cdot 11^{6} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$1$	$1$		$1$	$951552$	$2.540489$	$-394554859317462604304/110153177479917$	$0.99738$	$5.41861$	$[0, 1, 0, -4851148, -4115194492]$	\(y^2=x^3+x^2-4851148x-4115194492\)	2.3.0.a.1, 260.6.0.?, 660.6.0.?, 1716.6.0.?, 8580.12.0.?	$[ ]$
128700.bf2	128700bw2	128700.bf	128700bw	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{8} \cdot 3^{20} \cdot 5^{3} \cdot 11^{6} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$3.895441841$	$1$		$3$	$7612416$	$3.089798$	$-394554859317462604304/110153177479917$	$0.99738$	$5.47290$	$[0, 0, 0, -43660335, 111066590950]$	\(y^2=x^3-43660335x+111066590950\)	2.3.0.a.1, 260.6.0.?, 660.6.0.?, 1716.6.0.?, 8580.12.0.?	$[(2930, 91080)]$
128700.bg2	128700cd2	128700.bg	128700cd	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{8} \cdot 3^{20} \cdot 5^{9} \cdot 11^{6} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$1$	$1$		$1$	$38062080$	$3.894516$	$-394554859317462604304/110153177479917$	$0.99738$	$6.29367$	$[0, 0, 0, -1091508375, 13883323868750]$	\(y^2=x^3-1091508375x+13883323868750\)	2.3.0.a.1, 260.6.0.?, 660.6.0.?, 1716.6.0.?, 8580.12.0.?	$[ ]$
171600.cm2	171600cz2	171600.cm	171600cz	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{8} \cdot 3^{14} \cdot 5^{3} \cdot 11^{6} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$1$	$1$		$1$	$3806208$	$2.540489$	$-394554859317462604304/110153177479917$	$0.99738$	$4.79537$	$[0, -1, 0, -4851148, 4115194492]$	\(y^2=x^3-x^2-4851148x+4115194492\)	2.3.0.a.1, 260.6.0.?, 660.6.0.?, 1716.6.0.?, 8580.12.0.?	$[ ]$
171600.gi2	171600j2	171600.gi	171600j	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{8} \cdot 3^{14} \cdot 5^{9} \cdot 11^{6} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$1$	$1$		$1$	$19031040$	$3.345211$	$-394554859317462604304/110153177479917$	$0.99738$	$5.59656$	$[0, 1, 0, -121278708, 514156754088]$	\(y^2=x^3+x^2-121278708x+514156754088\)	2.3.0.a.1, 260.6.0.?, 660.6.0.?, 1716.6.0.?, 8580.12.0.?	$[ ]$
471900.bh2	471900bh2	471900.bh	471900bh	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{14} \cdot 5^{9} \cdot 11^{12} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$1$	$1$		$1$	$570931200$	$4.544159$	$-394554859317462604304/110153177479917$	$0.99738$	$6.26447$	$[0, -1, 0, -14674723708, 684401338585912]$	\(y^2=x^3-x^2-14674723708x+684401338585912\)	2.3.0.a.1, 260.6.0.?, 660.6.0.?, 1716.6.0.?, 8580.12.0.?	$[ ]$
471900.eg2	471900eg2	471900.eg	471900eg	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{14} \cdot 5^{3} \cdot 11^{12} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$1$	$1$		$1$	$114186240$	$3.739437$	$-394554859317462604304/110153177479917$	$0.99738$	$5.52532$	$[0, 1, 0, -586988948, 5474975913108]$	\(y^2=x^3+x^2-586988948x+5474975913108\)	2.3.0.a.1, 260.6.0.?, 660.6.0.?, 1716.6.0.?, 8580.12.0.?	$[ ]$

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