Elliptic curve search results

Results (14 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
7854.i4	7854i1	7854.i	7854i	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 17 \)	\( - 2^{12} \cdot 3 \cdot 7 \cdot 11 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.12	2B	$31416$	$48$	$0$	$1$	$4$	$2$	$1$	$2688$	$0.071605$	$24464768327/16084992$	$0.86177$	$2.66709$	$[1, 0, 1, 60, -62]$	\(y^2+xy+y=x^3+60x-62\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 204.12.0.?, 308.12.0.?, $\ldots$	$[ ]$
23562.ba4	23562bk1	23562.ba	23562bk	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 17 \)	\( - 2^{12} \cdot 3^{7} \cdot 7 \cdot 11 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$31416$	$48$	$0$	$1.623533026$	$1$		$5$	$21504$	$0.620911$	$24464768327/16084992$	$0.86177$	$3.03079$	$[1, -1, 1, 544, 1667]$	\(y^2+xy+y=x^3-x^2+544x+1667\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 68.12.0-4.c.1.2, 408.24.0.?, $\ldots$	$[(13, 97)]$
54978.c4	54978h1	54978.c	54978h	$4$	$4$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( - 2^{12} \cdot 3 \cdot 7^{7} \cdot 11 \cdot 17 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$31416$	$48$	$0$	$10.39687218$	$1$		$7$	$129024$	$1.044559$	$24464768327/16084992$	$0.86177$	$3.26129$	$[1, 1, 0, 2964, 24144]$	\(y^2+xy=x^3+x^2+2964x+24144\)	2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.2, 56.12.0-4.c.1.4, 408.12.0.?, $\ldots$	$[(41, 445), (17, 274)]$
62832.x4	62832bb1	62832.x	62832bb	$4$	$4$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 17 \)	\( - 2^{24} \cdot 3 \cdot 7 \cdot 11 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$31416$	$48$	$0$	$1$	$4$	$2$	$1$	$64512$	$0.764751$	$24464768327/16084992$	$0.86177$	$2.91796$	$[0, -1, 0, 968, 3952]$	\(y^2=x^3-x^2+968x+3952\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 204.12.0.?, 308.12.0.?, $\ldots$	$[ ]$
86394.ct4	86394cn1	86394.ct	86394cn	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 17 \)	\( - 2^{12} \cdot 3 \cdot 7 \cdot 11^{7} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$31416$	$48$	$0$	$1$	$1$		$1$	$322560$	$1.270552$	$24464768327/16084992$	$0.86177$	$3.37019$	$[1, 0, 0, 7318, 89508]$	\(y^2+xy=x^3+7318x+89508\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 88.12.0.?, 408.12.0.?, $\ldots$	$[ ]$
133518.d4	133518ce1	133518.d	133518ce	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 17^{2} \)	\( - 2^{12} \cdot 3 \cdot 7 \cdot 11 \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$31416$	$48$	$0$	$1$	$4$	$2$	$1$	$774144$	$1.488211$	$24464768327/16084992$	$0.86177$	$3.46719$	$[1, 1, 0, 17479, -320859]$	\(y^2+xy=x^3+x^2+17479x-320859\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 136.12.0.?, 408.24.0.?, $\ldots$	$[ ]$
164934.dx4	164934bo1	164934.dx	164934bo	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 17 \)	\( - 2^{12} \cdot 3^{7} \cdot 7^{7} \cdot 11 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$31416$	$48$	$0$	$1$	$1$		$1$	$1032192$	$1.593866$	$24464768327/16084992$	$0.86177$	$3.51174$	$[1, -1, 1, 26671, -625215]$	\(y^2+xy+y=x^3-x^2+26671x-625215\)	2.3.0.a.1, 4.6.0.c.1, 132.12.0.?, 168.12.0.?, 408.12.0.?, $\ldots$	$[ ]$
188496.r4	188496n1	188496.r	188496n	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 17 \)	\( - 2^{24} \cdot 3^{7} \cdot 7 \cdot 11 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$31416$	$48$	$0$	$4.718152142$	$1$		$3$	$516096$	$1.314058$	$24464768327/16084992$	$0.86177$	$3.19671$	$[0, 0, 0, 8709, -115414]$	\(y^2=x^3+8709x-115414\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 68.12.0-4.c.1.1, 408.24.0.?, $\ldots$	$[(38, 520)]$
196350.db4	196350db1	196350.db	196350db	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 17 \)	\( - 2^{12} \cdot 3 \cdot 5^{6} \cdot 7 \cdot 11 \cdot 17 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$157080$	$48$	$0$	$4.727747799$	$1$		$11$	$344064$	$0.876324$	$24464768327/16084992$	$0.86177$	$2.75501$	$[1, 1, 1, 1512, -7719]$	\(y^2+xy+y=x^3+x^2+1512x-7719\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.4, 408.12.0.?, 616.12.0.?, $\ldots$	$[(21, 173), (9, 77)]$
251328.q4	251328q1	251328.q	251328q	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 17 \)	\( - 2^{30} \cdot 3 \cdot 7 \cdot 11 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$31416$	$48$	$0$	$1$	$4$	$2$	$1$	$516096$	$1.111326$	$24464768327/16084992$	$0.86177$	$2.92711$	$[0, -1, 0, 3871, -35487]$	\(y^2=x^3-x^2+3871x-35487\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 408.24.0.?, 616.24.0.?, $\ldots$	$[ ]$
251328.cx4	251328cx1	251328.cx	251328cx	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 17 \)	\( - 2^{30} \cdot 3 \cdot 7 \cdot 11 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$31416$	$48$	$0$	$1$	$4$	$2$	$1$	$516096$	$1.111326$	$24464768327/16084992$	$0.86177$	$2.92711$	$[0, 1, 0, 3871, 35487]$	\(y^2=x^3+x^2+3871x+35487\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 408.24.0.?, 616.24.0.?, $\ldots$	$[ ]$
259182.t4	259182t1	259182.t	259182t	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 17 \)	\( - 2^{12} \cdot 3^{7} \cdot 7 \cdot 11^{7} \cdot 17 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$31416$	$48$	$0$	$19.24273655$	$1$		$7$	$2580480$	$1.819859$	$24464768327/16084992$	$0.86177$	$3.60197$	$[1, -1, 0, 65862, -2416716]$	\(y^2+xy=x^3-x^2+65862x-2416716\)	2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 264.12.0.?, 408.12.0.?, $\ldots$	$[(100, 2222), (5220, 374958)]$
400554.ew4	400554ew1	400554.ew	400554ew	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 17^{2} \)	\( - 2^{12} \cdot 3^{7} \cdot 7 \cdot 11 \cdot 17^{7} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$31416$	$48$	$0$	$7.062389453$	$1$		$3$	$6193152$	$2.037518$	$24464768327/16084992$	$0.86177$	$3.68289$	$[1, -1, 1, 157306, 8820501]$	\(y^2+xy+y=x^3-x^2+157306x+8820501\)	2.3.0.a.1, 4.12.0-4.c.1.1, 408.24.0.?, 616.24.0.?, 7854.6.0.?, $\ldots$	$[(-395/3, 37109/3)]$
439824.dt4	439824dt1	439824.dt	439824dt	$4$	$4$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( - 2^{24} \cdot 3 \cdot 7^{7} \cdot 11 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$31416$	$48$	$0$	$5.434936732$	$1$		$3$	$3096576$	$1.737707$	$24464768327/16084992$	$0.86177$	$3.37950$	$[0, 1, 0, 47416, -1450380]$	\(y^2=x^3+x^2+47416x-1450380\)	2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.1, 56.12.0-4.c.1.4, 408.12.0.?, $\ldots$	$[(39, 678)]$

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