Elliptic curve search results

Results (12 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
57960.x1	57960bg1	57960.x	57960bg	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{9} \cdot 5 \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1.697769033$	$1$		$5$	$46080$	$0.697049$	$10536048/5635$	$0.69608$	$2.88151$	$[0, 0, 0, -783, 2322]$	\(y^2=x^3-783x+2322\)	2.3.0.a.1, 84.6.0.?, 690.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(-11, 98)]$
57960.bp1	57960f1	57960.bp	57960f	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{3} \cdot 5 \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1$	$1$		$1$	$15360$	$0.147743$	$10536048/5635$	$0.69608$	$2.28049$	$[0, 0, 0, -87, -86]$	\(y^2=x^3-87x-86\)	2.3.0.a.1, 84.6.0.?, 690.6.0.?, 3220.6.0.?, 9660.12.0.?	$[]$
115920.h1	115920c1	115920.h	115920c	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{9} \cdot 5 \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1$	$1$		$1$	$92160$	$0.697049$	$10536048/5635$	$0.69608$	$2.71023$	$[0, 0, 0, -783, -2322]$	\(y^2=x^3-783x-2322\)	2.3.0.a.1, 84.6.0.?, 690.6.0.?, 3220.6.0.?, 9660.12.0.?	$[]$
115920.ds1	115920i1	115920.ds	115920i	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{3} \cdot 5 \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1$	$1$		$1$	$30720$	$0.147743$	$10536048/5635$	$0.69608$	$2.14493$	$[0, 0, 0, -87, 86]$	\(y^2=x^3-87x+86\)	2.3.0.a.1, 84.6.0.?, 690.6.0.?, 3220.6.0.?, 9660.12.0.?	$[]$
289800.e1	289800e1	289800.e	289800e	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{3} \cdot 5^{7} \cdot 7^{2} \cdot 23 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1.106950590$	$1$		$21$	$368640$	$0.952462$	$10536048/5635$	$0.69608$	$2.75647$	$[0, 0, 0, -2175, -10750]$	\(y^2=x^3-2175x-10750\)	2.3.0.a.1, 84.6.0.?, 690.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(65, 350), (-10, 100)]$
289800.bw1	289800bw1	289800.bw	289800bw	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{9} \cdot 5^{7} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1$	$1$		$1$	$1105920$	$1.501768$	$10536048/5635$	$0.69608$	$3.28058$	$[0, 0, 0, -19575, 290250]$	\(y^2=x^3-19575x+290250\)	2.3.0.a.1, 84.6.0.?, 690.6.0.?, 3220.6.0.?, 9660.12.0.?	$[]$
405720.k1	405720k1	405720.k	405720k	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{8} \cdot 3^{3} \cdot 5 \cdot 7^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1.818062821$	$1$		$5$	$737280$	$1.120699$	$10536048/5635$	$0.69608$	$2.84098$	$[0, 0, 0, -4263, 29498]$	\(y^2=x^3-4263x+29498\)	2.3.0.a.1, 84.6.0.?, 690.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(-14, 294)]$
405720.gm1	405720gm1	405720.gm	405720gm	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{8} \cdot 3^{9} \cdot 5 \cdot 7^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1$	$1$		$1$	$2211840$	$1.670004$	$10536048/5635$	$0.69608$	$3.35143$	$[0, 0, 0, -38367, -796446]$	\(y^2=x^3-38367x-796446\)	2.3.0.a.1, 84.6.0.?, 690.6.0.?, 3220.6.0.?, 9660.12.0.?	$[]$
463680.i1	463680i1	463680.i	463680i	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 3^{3} \cdot 5 \cdot 7^{2} \cdot 23 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$2.762863124$	$1$		$13$	$245760$	$0.494317$	$10536048/5635$	$0.69608$	$2.23579$	$[0, 0, 0, -348, 688]$	\(y^2=x^3-348x+688\)	2.3.0.a.1, 84.6.0.?, 690.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(26, 96), (18, 16)]$
463680.gp1	463680gp1	463680.gp	463680gp	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 3^{3} \cdot 5 \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1.491166227$	$1$		$5$	$245760$	$0.494317$	$10536048/5635$	$0.69608$	$2.23579$	$[0, 0, 0, -348, -688]$	\(y^2=x^3-348x-688\)	2.3.0.a.1, 84.6.0.?, 690.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(22, 48)]$
463680.kh1	463680kh1	463680.kh	463680kh	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 3^{9} \cdot 5 \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1$	$1$		$1$	$737280$	$1.043623$	$10536048/5635$	$0.69608$	$2.74101$	$[0, 0, 0, -3132, -18576]$	\(y^2=x^3-3132x-18576\)	2.3.0.a.1, 84.6.0.?, 690.6.0.?, 3220.6.0.?, 9660.12.0.?	$[]$
463680.lf1	463680lf1	463680.lf	463680lf	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 3^{9} \cdot 5 \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$2.037844310$	$1$		$5$	$737280$	$1.043623$	$10536048/5635$	$0.69608$	$2.74101$	$[0, 0, 0, -3132, 18576]$	\(y^2=x^3-3132x+18576\)	2.3.0.a.1, 84.6.0.?, 690.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(60, 216)]$