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.k2	14586j2	14586.k	14586j	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{6} \cdot 3^{14} \cdot 11^{2} \cdot 13^{4} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$2244$	$12$	$0$	$3.160353872$	$1$		$4$	$118272$	$1.831249$	$-54315282059491182625/17983956399469632$	$0.96250$	$4.78668$	$[1, 1, 1, -78898, -10728193]$	\(y^2+xy+y=x^3+x^2-78898x-10728193\)	2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.?	$[(375, 3361)]$
43758.e2	43758f2	43758.e	43758f	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{6} \cdot 3^{20} \cdot 11^{2} \cdot 13^{4} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2244$	$12$	$0$	$1.791123672$	$1$		$6$	$946176$	$2.380554$	$-54315282059491182625/17983956399469632$	$0.96250$	$4.91141$	$[1, -1, 0, -710082, 288951124]$	\(y^2+xy=x^3-x^2-710082x+288951124\)	2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.?	$[(641, 9521)]$
116688.y2	116688u2	116688.y	116688u	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{18} \cdot 3^{14} \cdot 11^{2} \cdot 13^{4} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2244$	$12$	$0$	$1.938461294$	$1$		$5$	$2838528$	$2.524395$	$-54315282059491182625/17983956399469632$	$0.96250$	$4.64647$	$[0, 1, 0, -1262368, 684079604]$	\(y^2=x^3+x^2-1262368x+684079604\)	2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.?	$[(188, 21294)]$
160446.d2	160446bq2	160446.d	160446bq	$2$	$2$	\( 2 \cdot 3 \cdot 11^{2} \cdot 13 \cdot 17 \)	\( - 2^{6} \cdot 3^{14} \cdot 11^{8} \cdot 13^{4} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2244$	$12$	$0$	$1$	$1$		$0$	$14192640$	$3.030197$	$-54315282059491182625/17983956399469632$	$0.96250$	$5.02942$	$[1, 1, 0, -9546660, 14231491344]$	\(y^2+xy=x^3+x^2-9546660x+14231491344\)	2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.?	$[]$
189618.g2	189618bo2	189618.g	189618bo	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 17 \)	\( - 2^{6} \cdot 3^{14} \cdot 11^{2} \cdot 13^{10} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2244$	$12$	$0$	$15.81931837$	$1$		$0$	$19869696$	$3.113724$	$-54315282059491182625/17983956399469632$	$0.96250$	$5.04276$	$[1, 1, 0, -13333765, -23503170803]$	\(y^2+xy=x^3+x^2-13333765x-23503170803\)	2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.?	$[(3239197106/373, 181300909364423/373)]$
247962.bf2	247962bf2	247962.bf	247962bf	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \)	\( - 2^{6} \cdot 3^{14} \cdot 11^{2} \cdot 13^{4} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2244$	$12$	$0$	$3.208677487$	$1$		$4$	$34062336$	$3.247856$	$-54315282059491182625/17983956399469632$	$0.96250$	$5.06343$	$[1, 0, 0, -22801528, -52548000640]$	\(y^2+xy=x^3-22801528x-52548000640\)	2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.?	$[(8048, 530048)]$
350064.bq2	350064bq2	350064.bq	350064bq	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{18} \cdot 3^{20} \cdot 11^{2} \cdot 13^{4} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2244$	$12$	$0$	$34.48613163$	$1$		$1$	$22708224$	$3.073700$	$-54315282059491182625/17983956399469632$	$0.96250$	$4.76295$	$[0, 0, 0, -11361315, -18481510622]$	\(y^2=x^3-11361315x-18481510622\)	2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.?	$[(21864576133368399/1173785, 3151617185769732326901982/1173785)]$
364650.cx2	364650cx2	364650.cx	364650cx	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{6} \cdot 3^{14} \cdot 5^{6} \cdot 11^{2} \cdot 13^{4} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2244$	$12$	$0$	$1.403588355$	$1$		$6$	$17031168$	$2.635967$	$-54315282059491182625/17983956399469632$	$0.96250$	$4.33761$	$[1, 0, 1, -1972451, -1337079202]$	\(y^2+xy+y=x^3-1972451x-1337079202\)	2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.?	$[(8247, 732976)]$
466752.bq2	466752bq2	466752.bq	466752bq	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{24} \cdot 3^{14} \cdot 11^{2} \cdot 13^{4} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2244$	$12$	$0$	$1$	$1$		$1$	$22708224$	$2.870968$	$-54315282059491182625/17983956399469632$	$0.96250$	$4.47161$	$[0, -1, 0, -5049473, 5477686305]$	\(y^2=x^3-x^2-5049473x+5477686305\)	2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.?	$[]$
466752.db2	466752db2	466752.db	466752db	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{24} \cdot 3^{14} \cdot 11^{2} \cdot 13^{4} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2244$	$12$	$0$	$1.295774673$	$1$		$9$	$22708224$	$2.870968$	$-54315282059491182625/17983956399469632$	$0.96250$	$4.47161$	$[0, 1, 0, -5049473, -5477686305]$	\(y^2=x^3+x^2-5049473x-5477686305\)	2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.?	$[(8011, 684288)]$
481338.cy2	481338cy2	481338.cy	481338cy	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \cdot 17 \)	\( - 2^{6} \cdot 3^{20} \cdot 11^{8} \cdot 13^{4} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2244$	$12$	$0$	$7.220175646$	$1$		$2$	$113541120$	$3.579502$	$-54315282059491182625/17983956399469632$	$0.96250$	$5.11091$	$[1, -1, 1, -85919945, -384336186231]$	\(y^2+xy+y=x^3-x^2-85919945x-384336186231\)	2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.?	$[(371363, 226049712)]$