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
30030.g4	30030e3	30030.g	30030e	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( - 2^{2} \cdot 3^{4} \cdot 5^{2} \cdot 7^{12} \cdot 11 \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$24024$	$48$	$0$	$0.682447702$	$1$		$6$	$245760$	$1.796772$	$17615758461429817079/16032362964918300$	$0.95331$	$4.29831$	$[1, 1, 0, 54208, -3653556]$	\(y^2+xy=x^3+x^2+54208x-3653556\)	2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.1, 52.12.0-4.c.1.1, 168.12.0.?, $\ldots$	$[(173, 3221)]$
90090.cw4	90090de3	90090.cw	90090de	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( - 2^{2} \cdot 3^{10} \cdot 5^{2} \cdot 7^{12} \cdot 11 \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$24024$	$48$	$0$	$1.407404540$	$1$		$4$	$1966080$	$2.346077$	$17615758461429817079/16032362964918300$	$0.95331$	$4.46217$	$[1, -1, 1, 487867, 99133881]$	\(y^2+xy+y=x^3-x^2+487867x+99133881\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 132.12.0.?, 156.12.0.?, $\ldots$	$[(411, 19002)]$
150150.fm4	150150bc3	150150.fm	150150bc	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( - 2^{2} \cdot 3^{4} \cdot 5^{8} \cdot 7^{12} \cdot 11 \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$120120$	$48$	$0$	$1$	$4$	$2$	$0$	$5898240$	$2.601490$	$17615758461429817079/16032362964918300$	$0.95331$	$4.52808$	$[1, 0, 0, 1355187, -459404883]$	\(y^2+xy=x^3+1355187x-459404883\)	2.3.0.a.1, 4.6.0.c.1, 220.12.0.?, 260.12.0.?, 286.6.0.?, $\ldots$	$[ ]$
210210.bl4	210210eb4	210210.bl	210210eb	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{2} \cdot 3^{4} \cdot 5^{2} \cdot 7^{18} \cdot 11 \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$24024$	$48$	$0$	$1$	$1$		$0$	$11796480$	$2.769726$	$17615758461429817079/16032362964918300$	$0.95331$	$4.56849$	$[1, 0, 1, 2656166, 1261138232]$	\(y^2+xy+y=x^3+2656166x+1261138232\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 286.6.0.?, 308.12.0.?, $\ldots$	$[ ]$
240240.gk4	240240gk4	240240.gk	240240gk	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( - 2^{14} \cdot 3^{4} \cdot 5^{2} \cdot 7^{12} \cdot 11 \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$24024$	$48$	$0$	$5.163201581$	$1$		$3$	$5898240$	$2.489918$	$17615758461429817079/16032362964918300$	$0.95331$	$4.24824$	$[0, 1, 0, 867320, 235562228]$	\(y^2=x^3+x^2+867320x+235562228\)	2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.2, 52.12.0-4.c.1.2, 168.12.0.?, $\ldots$	$[(-172, 9018)]$
330330.eq4	330330eq4	330330.eq	330330eq	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \)	\( - 2^{2} \cdot 3^{4} \cdot 5^{2} \cdot 7^{12} \cdot 11^{7} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$24024$	$48$	$0$	$5.112440039$	$4$	$2$	$2$	$29491200$	$2.995720$	$17615758461429817079/16032362964918300$	$0.95331$	$4.61941$	$[1, 1, 1, 6559105, 4895678657]$	\(y^2+xy+y=x^3+x^2+6559105x+4895678657\)	2.3.0.a.1, 4.12.0-4.c.1.2, 286.6.0.?, 572.24.0.?, 1848.24.0.?, $\ldots$	$[(6111, 519664)]$
390390.cx4	390390cx3	390390.cx	390390cx	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \)	\( - 2^{2} \cdot 3^{4} \cdot 5^{2} \cdot 7^{12} \cdot 11 \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$24024$	$48$	$0$	$10.54671308$	$1$		$0$	$41287680$	$3.079247$	$17615758461429817079/16032362964918300$	$0.95331$	$4.63732$	$[1, 1, 1, 9161064, -8072668011]$	\(y^2+xy+y=x^3+x^2+9161064x-8072668011\)	2.3.0.a.1, 4.12.0-4.c.1.2, 286.6.0.?, 572.24.0.?, 1848.24.0.?, $\ldots$	$[(36457/3, 8290253/3)]$
450450.ct4	450450ct4	450450.ct	450450ct	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( - 2^{2} \cdot 3^{10} \cdot 5^{8} \cdot 7^{12} \cdot 11 \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$120120$	$48$	$0$	$1$	$4$	$2$	$0$	$47185920$	$3.150795$	$17615758461429817079/16032362964918300$	$0.95331$	$4.65230$	$[1, -1, 0, 12196683, 12403931841]$	\(y^2+xy=x^3-x^2+12196683x+12403931841\)	2.3.0.a.1, 4.6.0.c.1, 280.12.0.?, 286.6.0.?, 572.12.0.?, $\ldots$	$[ ]$

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