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.l1	42900m1	42900.l	42900m	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{4} \cdot 3^{7} \cdot 5^{9} \cdot 11^{3} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$1$	$25$	$5$	$1$	$2378880$	$2.998634$	$6314146617344431898624/491941593$	$1.04452$	$6.32389$	$[0, -1, 0, -121286833, -514084425338]$	\(y^2=x^3-x^2-121286833x-514084425338\)	2.3.0.a.1, 260.6.0.?, 330.6.0.?, 1716.6.0.?, 8580.12.0.?	$[ ]$
42900.be1	42900bg1	42900.be	42900bg	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 11^{3} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$1$	$1$		$1$	$475776$	$2.193916$	$6314146617344431898624/491941593$	$1.04452$	$5.41858$	$[0, 1, 0, -4851473, -4114615992]$	\(y^2=x^3+x^2-4851473x-4114615992\)	2.3.0.a.1, 260.6.0.?, 330.6.0.?, 1716.6.0.?, 8580.12.0.?	$[ ]$
128700.bf1	128700bw1	128700.bf	128700bw	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{4} \cdot 3^{13} \cdot 5^{3} \cdot 11^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$1.947720920$	$1$		$3$	$3806208$	$2.743225$	$6314146617344431898624/491941593$	$1.04452$	$5.47287$	$[0, 0, 0, -43663260, 111050968525]$	\(y^2=x^3-43663260x+111050968525\)	2.3.0.a.1, 260.6.0.?, 330.6.0.?, 1716.6.0.?, 8580.12.0.?	$[(4775, 106920)]$
128700.bg1	128700cd1	128700.bg	128700cd	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{4} \cdot 3^{13} \cdot 5^{9} \cdot 11^{3} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$1$	$1$		$1$	$19031040$	$3.547943$	$6314146617344431898624/491941593$	$1.04452$	$6.29365$	$[0, 0, 0, -1091581500, 13881371065625]$	\(y^2=x^3-1091581500x+13881371065625\)	2.3.0.a.1, 260.6.0.?, 330.6.0.?, 1716.6.0.?, 8580.12.0.?	$[ ]$
171600.cm1	171600cz1	171600.cm	171600cz	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 11^{3} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$1$	$1$		$1$	$1903104$	$2.193916$	$6314146617344431898624/491941593$	$1.04452$	$4.79535$	$[0, -1, 0, -4851473, 4114615992]$	\(y^2=x^3-x^2-4851473x+4114615992\)	2.3.0.a.1, 260.6.0.?, 330.6.0.?, 1716.6.0.?, 8580.12.0.?	$[ ]$
171600.gi1	171600j1	171600.gi	171600j	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{4} \cdot 3^{7} \cdot 5^{9} \cdot 11^{3} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$1$	$1$		$1$	$9515520$	$2.998634$	$6314146617344431898624/491941593$	$1.04452$	$5.59654$	$[0, 1, 0, -121286833, 514084425338]$	\(y^2=x^3+x^2-121286833x+514084425338\)	2.3.0.a.1, 260.6.0.?, 330.6.0.?, 1716.6.0.?, 8580.12.0.?	$[ ]$
471900.bh1	471900bh1	471900.bh	471900bh	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{7} \cdot 5^{9} \cdot 11^{9} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$1$	$1$		$1$	$285465600$	$4.197586$	$6314146617344431898624/491941593$	$1.04452$	$6.26444$	$[0, -1, 0, -14675706833, 684305072952162]$	\(y^2=x^3-x^2-14675706833x+684305072952162\)	2.3.0.a.1, 260.6.0.?, 330.6.0.?, 1716.6.0.?, 8580.12.0.?	$[ ]$
471900.eg1	471900eg1	471900.eg	471900eg	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 11^{9} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$1$	$1$		$1$	$57093120$	$3.392864$	$6314146617344431898624/491941593$	$1.04452$	$5.52530$	$[0, 1, 0, -587028273, 5474205772308]$	\(y^2=x^3+x^2-587028273x+5474205772308\)	2.3.0.a.1, 260.6.0.?, 330.6.0.?, 1716.6.0.?, 8580.12.0.?	$[ ]$

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