Elliptic curve search results

Results (11 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
14586.k1	14586j1	14586.k	14586j	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3^{7} \cdot 11 \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$2244$	$12$	$0$	$1.580176936$	$1$		$7$	$59136$	$1.484674$	$66342819962001390625/4812668669952$	$0.99193$	$4.76035$	$[1, 1, 1, -84338, -9461761]$	\(y^2+xy+y=x^3+x^2-84338x-9461761\)	2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.?	$[(-169, 97)]$
43758.e1	43758f1	43758.e	43758f	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3^{13} \cdot 11 \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2244$	$12$	$0$	$0.895561836$	$1$		$9$	$473088$	$2.033981$	$66342819962001390625/4812668669952$	$0.99193$	$4.88779$	$[1, -1, 0, -759042, 254708500]$	\(y^2+xy=x^3-x^2-759042x+254708500\)	2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.?	$[(449, 1841)]$
116688.y1	116688u1	116688.y	116688u	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \)	\( 2^{24} \cdot 3^{7} \cdot 11 \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2244$	$12$	$0$	$0.969230647$	$1$		$7$	$1419264$	$2.177822$	$66342819962001390625/4812668669952$	$0.99193$	$4.62483$	$[0, 1, 0, -1349408, 602853876]$	\(y^2=x^3+x^2-1349408x+602853876\)	2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.?	$[(700, 1326)]$
160446.d1	160446bq1	160446.d	160446bq	$2$	$2$	\( 2 \cdot 3 \cdot 11^{2} \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3^{7} \cdot 11^{7} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2244$	$12$	$0$	$1$	$1$		$1$	$7096320$	$2.683624$	$66342819962001390625/4812668669952$	$0.99193$	$5.00836$	$[1, 1, 0, -10204900, 12542579152]$	\(y^2+xy=x^3+x^2-10204900x+12542579152\)	2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.?	$[]$
189618.g1	189618bo1	189618.g	189618bo	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 17 \)	\( 2^{12} \cdot 3^{7} \cdot 11 \cdot 13^{8} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2244$	$12$	$0$	$31.63863674$	$1$		$1$	$9934848$	$2.767151$	$66342819962001390625/4812668669952$	$0.99193$	$5.02199$	$[1, 1, 0, -14253125, -20716222899]$	\(y^2+xy=x^3+x^2-14253125x-20716222899\)	2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.?	$[(-1155275670424847/726723, 47612640703398864434/726723)]$
247962.bf1	247962bf1	247962.bf	247962bf	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \)	\( 2^{12} \cdot 3^{7} \cdot 11 \cdot 13^{2} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2244$	$12$	$0$	$1.604338743$	$1$		$7$	$17031168$	$2.901283$	$66342819962001390625/4812668669952$	$0.99193$	$5.04311$	$[1, 0, 0, -24373688, -46315015104]$	\(y^2+xy=x^3-24373688x-46315015104\)	2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.?	$[(-2840, 16)]$
350064.bq1	350064bq1	350064.bq	350064bq	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 13 \cdot 17 \)	\( 2^{24} \cdot 3^{13} \cdot 11 \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2244$	$12$	$0$	$17.24306581$	$1$		$1$	$11354112$	$2.727127$	$66342819962001390625/4812668669952$	$0.99193$	$4.74318$	$[0, 0, 0, -12144675, -16289199326]$	\(y^2=x^3-12144675x-16289199326\)	2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.?	$[(-3377478241/1297, 2083353235470/1297)]$
364650.cx1	364650cx1	364650.cx	364650cx	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3^{7} \cdot 5^{6} \cdot 11 \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2244$	$12$	$0$	$2.807176710$	$1$		$3$	$8515584$	$2.289394$	$66342819962001390625/4812668669952$	$0.99193$	$4.31790$	$[1, 0, 1, -2108451, -1178503202]$	\(y^2+xy+y=x^3-2108451x-1178503202\)	2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.?	$[(2303, 77472)]$
466752.bq1	466752bq1	466752.bq	466752bq	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \)	\( 2^{30} \cdot 3^{7} \cdot 11 \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2244$	$12$	$0$	$1$	$1$		$1$	$11354112$	$2.524395$	$66342819962001390625/4812668669952$	$0.99193$	$4.45228$	$[0, -1, 0, -5397633, 4828228641]$	\(y^2=x^3-x^2-5397633x+4828228641\)	2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.?	$[]$
466752.db1	466752db1	466752.db	466752db	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \)	\( 2^{30} \cdot 3^{7} \cdot 11 \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2244$	$12$	$0$	$2.591549346$	$1$		$5$	$11354112$	$2.524395$	$66342819962001390625/4812668669952$	$0.99193$	$4.45228$	$[0, 1, 0, -5397633, -4828228641]$	\(y^2=x^3+x^2-5397633x-4828228641\)	2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.?	$[(-1350, 153)]$
481338.cy1	481338cy1	481338.cy	481338cy	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3^{13} \cdot 11^{7} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2244$	$12$	$0$	$3.610087823$	$1$		$3$	$56770560$	$3.232929$	$66342819962001390625/4812668669952$	$0.99193$	$5.09162$	$[1, -1, 1, -91844105, -338741481207]$	\(y^2+xy+y=x^3-x^2-91844105x-338741481207\)	2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.?	$[(11831, 474252)]$