Elliptic curve search results

Results (12 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
12210.s1	12210t3	12210.s	12210t	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 37 \)	\( 2 \cdot 3^{4} \cdot 5^{12} \cdot 11 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.8	2B	$48840$	$48$	$0$	$9.021560791$	$1$		$0$	$27648$	$1.233608$	$42511837711807729/16097167968750$	$0.93877$	$4.06892$	$[1, 1, 1, -7271, 137279]$	\(y^2+xy+y=x^3+x^2-7271x+137279\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 120.24.0.?, 1628.12.0.?, $\ldots$	$[(20343/14, 1823933/14)]$
36630.o1	36630n4	36630.o	36630n	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 37 \)	\( 2 \cdot 3^{10} \cdot 5^{12} \cdot 11 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$48840$	$48$	$0$	$1.160136387$	$1$		$6$	$221184$	$1.782915$	$42511837711807729/16097167968750$	$0.93877$	$4.27080$	$[1, -1, 0, -65439, -3771977]$	\(y^2+xy=x^3-x^2-65439x-3771977\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$	$[(-63, 344)]$
61050.bb1	61050ba4	61050.bb	61050ba	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2 \cdot 3^{4} \cdot 5^{18} \cdot 11 \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$48840$	$48$	$0$	$1$	$1$		$0$	$663552$	$2.038326$	$42511837711807729/16097167968750$	$0.93877$	$4.35096$	$[1, 0, 1, -181776, 17523448]$	\(y^2+xy+y=x^3-181776x+17523448\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[ ]$
97680.bv1	97680bz4	97680.bv	97680bz	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \)	\( 2^{13} \cdot 3^{4} \cdot 5^{12} \cdot 11 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$48840$	$48$	$0$	$7.948872169$	$1$		$1$	$663552$	$1.926756$	$42511837711807729/16097167968750$	$0.93877$	$4.05644$	$[0, 1, 0, -116336, -9018540]$	\(y^2=x^3+x^2-116336x-9018540\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 120.24.0.?, 1628.12.0.?, $\ldots$	$[(-4409/5, 307314/5)]$
134310.e1	134310cq4	134310.e	134310cq	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 37 \)	\( 2 \cdot 3^{4} \cdot 5^{12} \cdot 11^{7} \cdot 37 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$48840$	$48$	$0$	$23.19967326$	$1$		$4$	$3317760$	$2.432556$	$42511837711807729/16097167968750$	$0.93877$	$4.46107$	$[1, 1, 0, -879793, -187117553]$	\(y^2+xy=x^3+x^2-879793x-187117553\)	2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 120.12.0.?, 148.12.0.?, $\ldots$	$[(-533, 11701), (25879/5, 381248/5)]$
183150.ec1	183150bk4	183150.ec	183150bk	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2 \cdot 3^{10} \cdot 5^{18} \cdot 11 \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$48840$	$48$	$0$	$1$	$4$	$2$	$0$	$5308416$	$2.587635$	$42511837711807729/16097167968750$	$0.93877$	$4.50046$	$[1, -1, 1, -1635980, -473133103]$	\(y^2+xy+y=x^3-x^2-1635980x-473133103\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 3256.24.0.?, $\ldots$	$[ ]$
293040.ea1	293040ea3	293040.ea	293040ea	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 37 \)	\( 2^{13} \cdot 3^{10} \cdot 5^{12} \cdot 11 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$48840$	$48$	$0$	$1.075568103$	$1$		$7$	$5308416$	$2.476063$	$42511837711807729/16097167968750$	$0.93877$	$4.22607$	$[0, 0, 0, -1047027, 242453554]$	\(y^2=x^3-1047027x+242453554\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$	$[(1553, 48600)]$
390720.dg1	390720dg4	390720.dg	390720dg	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \)	\( 2^{19} \cdot 3^{4} \cdot 5^{12} \cdot 11 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$48840$	$48$	$0$	$3.204117564$	$1$		$5$	$5308416$	$2.273331$	$42511837711807729/16097167968750$	$0.93877$	$3.94270$	$[0, -1, 0, -465345, -71682975]$	\(y^2=x^3-x^2-465345x-71682975\)	2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 3256.24.0.?, 48840.48.0.?	$[(-485, 6300)]$
390720.gw1	390720gw3	390720.gw	390720gw	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \)	\( 2^{19} \cdot 3^{4} \cdot 5^{12} \cdot 11 \cdot 37 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$48840$	$48$	$0$	$1$	$1$		$3$	$5308416$	$2.273331$	$42511837711807729/16097167968750$	$0.93877$	$3.94270$	$[0, 1, 0, -465345, 71682975]$	\(y^2=x^3+x^2-465345x+71682975\)	2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 3256.24.0.?, 48840.48.0.?	$[ ]$
402930.eh1	402930eh3	402930.eh	402930eh	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 37 \)	\( 2 \cdot 3^{10} \cdot 5^{12} \cdot 11^{7} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$48840$	$48$	$0$	$2.895193532$	$1$		$0$	$26542080$	$2.981861$	$42511837711807729/16097167968750$	$0.93877$	$4.59207$	$[1, -1, 1, -7918142, 5044255791]$	\(y^2+xy+y=x^3-x^2-7918142x+5044255791\)	2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 264.12.0.?, 440.12.0.?, $\ldots$	$[(12959/2, 912687/2)]$
451770.m1	451770m3	451770.m	451770m	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 37^{2} \)	\( 2 \cdot 3^{4} \cdot 5^{12} \cdot 11 \cdot 37^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$48840$	$48$	$0$	$2.176924207$	$1$		$4$	$37822464$	$3.039066$	$42511837711807729/16097167968750$	$0.93877$	$4.60444$	$[1, 1, 0, -9954027, 7102912599]$	\(y^2+xy=x^3+x^2-9954027x+7102912599\)	2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.1, 120.12.0.?, 296.12.0.?, $\ldots$	$[(2753, 22581)]$
488400.bq1	488400bq4	488400.bq	488400bq	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{13} \cdot 3^{4} \cdot 5^{18} \cdot 11 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$48840$	$48$	$0$	$6.816162130$	$1$		$3$	$15925248$	$2.731476$	$42511837711807729/16097167968750$	$0.93877$	$4.29525$	$[0, -1, 0, -2908408, -1121500688]$	\(y^2=x^3-x^2-2908408x-1121500688\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.1, 120.24.0.?, $\ldots$	$[(-1294, 21762)]$

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