Elliptic curve search results

Results (36 matches)

  Download displayed columns for results to

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	Manin constant
910.b1	910a3	910.b	910a	$4$	$4$	\( 2 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{5} \cdot 5^{12} \cdot 7^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.7	2B	$520$	$48$	$0$	$1$	$4$	$2$	$0$	$3840$	$1.526964$	$143378317900125424089/4976562500000$	$1.02185$	$6.81183$	$[1, -1, 0, -109040, -13831200]$	\(y^2+xy=x^3-x^2-109040x-13831200\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.y.1.6, 52.12.0-4.c.1.1, $\ldots$	$[ ]$	$1$
4550.w1	4550s3	4550.w	4550s	$4$	$4$	\( 2 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{5} \cdot 5^{18} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$520$	$48$	$0$	$4.496546471$	$1$		$2$	$92160$	$2.331684$	$143378317900125424089/4976562500000$	$1.02185$	$6.65671$	$[1, -1, 1, -2726005, -1731626003]$	\(y^2+xy+y=x^3-x^2-2726005x-1731626003\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.y.1.13, 104.24.0.?, $\ldots$	$[(-955, 678)]$	$1$
6370.g1	6370j3	6370.g	6370j	$4$	$4$	\( 2 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{5} \cdot 5^{12} \cdot 7^{8} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3640$	$48$	$0$	$1$	$1$		$0$	$184320$	$2.499920$	$143378317900125424089/4976562500000$	$1.02185$	$6.63148$	$[1, -1, 0, -5342969, 4754787533]$	\(y^2+xy=x^3-x^2-5342969x+4754787533\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0.y.1, 56.12.0-4.c.1.2, 104.12.0.?, $\ldots$	$[ ]$	$1$
7280.h1	7280k3	7280.h	7280k	$4$	$4$	\( 2^{4} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{17} \cdot 5^{12} \cdot 7^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$520$	$48$	$0$	$1$	$1$		$1$	$92160$	$2.220112$	$143378317900125424089/4976562500000$	$1.02185$	$6.15433$	$[0, 0, 0, -1744643, 886941442]$	\(y^2=x^3-1744643x+886941442\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.y.1.14, 52.12.0-4.c.1.2, $\ldots$	$[ ]$	$1$
8190.bs1	8190bt3	8190.bs	8190bt	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{5} \cdot 3^{6} \cdot 5^{12} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$0.266719666$	$1$		$12$	$122880$	$2.076271$	$143378317900125424089/4976562500000$	$1.02185$	$5.88233$	$[1, -1, 1, -981362, 374423761]$	\(y^2+xy+y=x^3-x^2-981362x+374423761\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0.y.1, 104.12.0.?, $\ldots$	$[(581, 59)]$	$1$
11830.t1	11830t3	11830.t	11830t	$4$	$4$	\( 2 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{5} \cdot 5^{12} \cdot 7^{2} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$520$	$48$	$0$	$0.769853764$	$1$		$8$	$645120$	$2.809441$	$143378317900125424089/4976562500000$	$1.02185$	$6.58980$	$[1, -1, 1, -18427792, -30442429741]$	\(y^2+xy+y=x^3-x^2-18427792x-30442429741\)	2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.y.1.7, 104.24.0.?, 520.48.0.?	$[(-2473, 391)]$	$1$
29120.bj1	29120cf4	29120.bj	29120cf	$4$	$4$	\( 2^{6} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{23} \cdot 5^{12} \cdot 7^{2} \cdot 13 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$520$	$48$	$0$	$1$	$1$		$3$	$737280$	$2.566685$	$143378317900125424089/4976562500000$	$1.02185$	$5.72893$	$[0, 0, 0, -6978572, 7095531536]$	\(y^2=x^3-6978572x+7095531536\)	2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.y.1.2, 104.24.0.?, 520.48.0.?	$[ ]$	$1$
29120.bm1	29120be4	29120.bm	29120be	$4$	$4$	\( 2^{6} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{23} \cdot 5^{12} \cdot 7^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$520$	$48$	$0$	$1$	$1$		$1$	$737280$	$2.566685$	$143378317900125424089/4976562500000$	$1.02185$	$5.72893$	$[0, 0, 0, -6978572, -7095531536]$	\(y^2=x^3-6978572x-7095531536\)	2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.y.1.10, 104.24.0.?, 520.48.0.?	$[ ]$	$1$
31850.cb1	31850bs4	31850.cb	31850bs	$4$	$4$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{5} \cdot 5^{18} \cdot 7^{8} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3640$	$48$	$0$	$7.079008525$	$1$		$0$	$4423680$	$3.304638$	$143378317900125424089/4976562500000$	$1.02185$	$6.53346$	$[1, -1, 1, -133574230, 594214867397]$	\(y^2+xy+y=x^3-x^2-133574230x+594214867397\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0.y.1, 56.12.0-4.c.1.5, 104.12.0.?, $\ldots$	$[(61807/3, 645167/3)]$	$1$
36400.bn1	36400cd4	36400.bn	36400cd	$4$	$4$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{17} \cdot 5^{18} \cdot 7^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$520$	$48$	$0$	$1$	$1$		$1$	$2211840$	$3.024830$	$143378317900125424089/4976562500000$	$1.02185$	$6.13068$	$[0, 0, 0, -43616075, 110867680250]$	\(y^2=x^3-43616075x+110867680250\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.y.1.5, 104.24.0.?, $\ldots$	$[ ]$	$1$
40950.c1	40950bg4	40950.c	40950bg	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{5} \cdot 3^{6} \cdot 5^{18} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$5.071471786$	$1$		$4$	$2949120$	$2.880989$	$143378317900125424089/4976562500000$	$1.02185$	$5.90016$	$[1, -1, 0, -24534042, 46778436116]$	\(y^2+xy=x^3-x^2-24534042x+46778436116\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.y.1, 104.12.0.?, $\ldots$	$[(2875, -704)]$	$1$
50960.bc1	50960bz4	50960.bc	50960bz	$4$	$4$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{17} \cdot 5^{12} \cdot 7^{8} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3640$	$48$	$0$	$8.528205104$	$1$		$1$	$4423680$	$3.193066$	$143378317900125424089/4976562500000$	$1.02185$	$6.12663$	$[0, 0, 0, -85487507, -304220914606]$	\(y^2=x^3-85487507x-304220914606\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0.y.1, 56.12.0-4.c.1.1, 104.12.0.?, $\ldots$	$[(-904153/13, 5756850/13)]$	$1$
57330.di1	57330el4	57330.di	57330el	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{5} \cdot 3^{6} \cdot 5^{12} \cdot 7^{8} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$3.708345464$	$4$	$2$	$4$	$5898240$	$3.049225$	$143378317900125424089/4976562500000$	$1.02185$	$5.90323$	$[1, -1, 1, -48086723, -128331176669]$	\(y^2+xy+y=x^3-x^2-48086723x-128331176669\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0.y.1, 104.12.0.?, 168.12.0.?, $\ldots$	$[(-4009, 142)]$	$1$
59150.s1	59150h4	59150.s	59150h	$4$	$4$	\( 2 \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{5} \cdot 5^{18} \cdot 7^{2} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.13	2B	$520$	$48$	$0$	$1$	$4$	$2$	$0$	$15482880$	$3.614159$	$143378317900125424089/4976562500000$	$1.02185$	$6.50341$	$[1, -1, 0, -460694792, -3805764412384]$	\(y^2+xy=x^3-x^2-460694792x-3805764412384\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 20.12.0-4.c.1.1, 40.24.0-40.y.1.16, $\ldots$	$[ ]$	$1$
65520.de1	65520dl4	65520.de	65520dl	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{17} \cdot 3^{6} \cdot 5^{12} \cdot 7^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$1$	$1$		$1$	$2949120$	$2.769417$	$143378317900125424089/4976562500000$	$1.02185$	$5.52938$	$[0, 0, 0, -15701787, -23947418934]$	\(y^2=x^3-15701787x-23947418934\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0.y.1, 104.12.0.?, $\ldots$	$[ ]$	$1$
82810.ca1	82810bv4	82810.ca	82810bv	$4$	$4$	\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{5} \cdot 5^{12} \cdot 7^{8} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3640$	$48$	$0$	$9.772437342$	$1$		$0$	$30965760$	$3.782394$	$143378317900125424089/4976562500000$	$1.02185$	$6.48845$	$[1, -1, 1, -902961793, 10443559324657]$	\(y^2+xy+y=x^3-x^2-902961793x+10443559324657\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0.y.1, 104.12.0.?, $\ldots$	$[(156143/2, 46953531/2)]$	$1$
94640.ce1	94640cr4	94640.ce	94640cr	$4$	$4$	\( 2^{4} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{17} \cdot 5^{12} \cdot 7^{2} \cdot 13^{7} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$520$	$48$	$0$	$1$	$1$		$3$	$15482880$	$3.502586$	$143378317900125424089/4976562500000$	$1.02185$	$6.11978$	$[0, 0, 0, -294844667, 1948610348074]$	\(y^2=x^3-294844667x+1948610348074\)	2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.y.1.15, 104.24.0.?, 520.48.0.?	$[ ]$	$1$
106470.w1	106470be4	106470.w	106470be	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{5} \cdot 3^{6} \cdot 5^{12} \cdot 7^{2} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$1$	$1$		$0$	$20643840$	$3.358746$	$143378317900125424089/4976562500000$	$1.02185$	$5.90840$	$[1, -1, 0, -165850125, 822111453125]$	\(y^2+xy=x^3-x^2-165850125x+822111453125\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.y.1, 104.12.0.?, $\ldots$	$[ ]$	$1$
110110.cc1	110110bu4	110110.cc	110110bu	$4$	$4$	\( 2 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \)	\( 2^{5} \cdot 5^{12} \cdot 7^{2} \cdot 11^{6} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5720$	$48$	$0$	$1$	$1$		$0$	$4915200$	$2.725910$	$143378317900125424089/4976562500000$	$1.02185$	$5.23716$	$[1, -1, 1, -13193863, 18448908767]$	\(y^2+xy+y=x^3-x^2-13193863x+18448908767\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0.y.1, 88.12.0.?, 104.12.0.?, $\ldots$	$[ ]$	$1$
145600.di1	145600gf4	145600.di	145600gf	$4$	$4$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{23} \cdot 5^{18} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$520$	$48$	$0$	$26.65232497$	$1$		$1$	$17694720$	$3.371403$	$143378317900125424089/4976562500000$	$1.02185$	$5.76562$	$[0, 0, 0, -174464300, -886941442000]$	\(y^2=x^3-174464300x-886941442000\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.1, 40.24.0-40.y.1.1, $\ldots$	$[(-2297604230939/17343, 24902295913205209/17343)]$	$1$
145600.ew1	145600bz3	145600.ew	145600bz	$4$	$4$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{23} \cdot 5^{18} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$520$	$48$	$0$	$16.54360376$	$1$		$1$	$17694720$	$3.371403$	$143378317900125424089/4976562500000$	$1.02185$	$5.76562$	$[0, 0, 0, -174464300, 886941442000]$	\(y^2=x^3-174464300x+886941442000\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.2, 40.24.0-40.y.1.9, $\ldots$	$[(89828941/99, 233341598861/99)]$	$1$
203840.cl1	203840eo3	203840.cl	203840eo	$4$	$4$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{23} \cdot 5^{12} \cdot 7^{8} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3640$	$48$	$0$	$1$	$1$		$1$	$35389440$	$3.539639$	$143378317900125424089/4976562500000$	$1.02185$	$5.77207$	$[0, 0, 0, -341950028, 2433767316848]$	\(y^2=x^3-341950028x+2433767316848\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0.y.1, 104.12.0.?, $\ldots$	$[ ]$	$1$
203840.da1	203840bw4	203840.da	203840bw	$4$	$4$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{23} \cdot 5^{12} \cdot 7^{8} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3640$	$48$	$0$	$43.15326657$	$1$		$1$	$35389440$	$3.539639$	$143378317900125424089/4976562500000$	$1.02185$	$5.77207$	$[0, 0, 0, -341950028, -2433767316848]$	\(y^2=x^3-341950028x-2433767316848\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0.y.1, 104.12.0.?, $\ldots$	$[(51591239585239309312/48931399, 52740077801435047348338198612/48931399)]$	$1$
254800.dd1	254800dd4	254800.dd	254800dd	$4$	$4$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{17} \cdot 5^{18} \cdot 7^{8} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3640$	$48$	$0$	$31.02425185$	$1$		$1$	$106168320$	$3.997784$	$143378317900125424089/4976562500000$	$1.02185$	$6.11025$	$[0, 0, 0, -2137187675, -38027614325750]$	\(y^2=x^3-2137187675x-38027614325750\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0.y.1, 56.12.0-4.c.1.5, 104.12.0.?, $\ldots$	$[(-2536522152826361/308811, 629050433092289580862/308811)]$	$1$
262080.n1	262080n4	262080.n	262080n	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{23} \cdot 3^{6} \cdot 5^{12} \cdot 7^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$1$	$4$	$2$	$1$	$23592960$	$3.115990$	$143378317900125424089/4976562500000$	$1.02185$	$5.24833$	$[0, 0, 0, -62807148, -191579351472]$	\(y^2=x^3-62807148x-191579351472\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.y.1, 104.12.0.?, $\ldots$	$[ ]$	$1$
262080.gp1	262080gp3	262080.gp	262080gp	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{23} \cdot 3^{6} \cdot 5^{12} \cdot 7^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$1$	$4$	$2$	$1$	$23592960$	$3.115990$	$143378317900125424089/4976562500000$	$1.02185$	$5.24833$	$[0, 0, 0, -62807148, 191579351472]$	\(y^2=x^3-62807148x+191579351472\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.y.1, 104.12.0.?, $\ldots$	$[ ]$	$1$
262990.j1	262990j4	262990.j	262990j	$4$	$4$	\( 2 \cdot 5 \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 2^{5} \cdot 5^{12} \cdot 7^{2} \cdot 13 \cdot 17^{6} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$8840$	$48$	$0$	$6.135683187$	$1$		$8$	$19660800$	$2.943569$	$143378317900125424089/4976562500000$	$1.02185$	$5.08109$	$[1, -1, 0, -31512614, -68078735980]$	\(y^2+xy=x^3-x^2-31512614x-68078735980\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0.y.1, 104.12.0.?, 136.12.0.?, $\ldots$	$[(-3251, 614), (29479/2, 2499271/2)]$	$1$
286650.ba1	286650ba4	286650.ba	286650ba	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{5} \cdot 3^{6} \cdot 5^{18} \cdot 7^{8} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$11.37574055$	$4$	$2$	$2$	$141557760$	$3.853943$	$143378317900125424089/4976562500000$	$1.02185$	$5.91562$	$[1, -1, 0, -1202168067, -16042599251659]$	\(y^2+xy=x^3-x^2-1202168067x-16042599251659\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0.y.1, 104.12.0.?, 168.12.0.?, $\ldots$	$[(241525, 117279229)]$	$1$
327600.nj1	327600nj4	327600.nj	327600nj	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{17} \cdot 3^{6} \cdot 5^{18} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$9.017393856$	$4$	$2$	$3$	$70778880$	$3.574135$	$143378317900125424089/4976562500000$	$1.02185$	$5.58902$	$[0, 0, 0, -392544675, -2993427366750]$	\(y^2=x^3-392544675x-2993427366750\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.y.1, 104.12.0.?, $\ldots$	$[(32191, 4210514)]$	$1$
328510.bp1	328510bp3	328510.bp	328510bp	$4$	$4$	\( 2 \cdot 5 \cdot 7 \cdot 13 \cdot 19^{2} \)	\( 2^{5} \cdot 5^{12} \cdot 7^{2} \cdot 13 \cdot 19^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9880$	$48$	$0$	$4.177794344$	$1$		$2$	$26542080$	$2.999184$	$143378317900125424089/4976562500000$	$1.02185$	$5.04464$	$[1, -1, 1, -39363508, 95065018231]$	\(y^2+xy+y=x^3-x^2-39363508x+95065018231\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0.y.1, 104.12.0.?, 152.12.0.?, $\ldots$	$[(38795, 7527477)]$	$1$
378560.dz1	378560dz4	378560.dz	378560dz	$4$	$4$	\( 2^{6} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{23} \cdot 5^{12} \cdot 7^{2} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$520$	$48$	$0$	$71.44922663$	$1$		$1$	$123863040$	$3.849159$	$143378317900125424089/4976562500000$	$1.02185$	$5.78306$	$[0, 0, 0, -1179378668, -15588882784592]$	\(y^2=x^3-1179378668x-15588882784592\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.y.1.11, 52.12.0-4.c.1.1, $\ldots$	$[(-65634880331896466627491021988459/57422185050655, 1925215134361850532073385631163133072350060161/57422185050655)]$	$1$
378560.ee1	378560ee3	378560.ee	378560ee	$4$	$4$	\( 2^{6} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{23} \cdot 5^{12} \cdot 7^{2} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$520$	$48$	$0$	$23.11793470$	$1$		$1$	$123863040$	$3.849159$	$143378317900125424089/4976562500000$	$1.02185$	$5.78306$	$[0, 0, 0, -1179378668, 15588882784592]$	\(y^2=x^3-1179378668x+15588882784592\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.y.1.3, 52.12.0-4.c.1.2, $\ldots$	$[(126372353117/2491, 2011756235636763/2491)]$	$1$
414050.bk1	414050bk3	414050.bk	414050bk	$4$	$4$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} \)	\( 2^{5} \cdot 5^{18} \cdot 7^{8} \cdot 13^{7} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3640$	$48$	$0$	$37.49970019$	$1$		$2$	$743178240$	$4.587112$	$143378317900125424089/4976562500000$	$1.02185$	$6.42767$	$[1, -1, 0, -22574044817, 1305422341537341]$	\(y^2+xy=x^3-x^2-22574044817x+1305422341537341\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0.y.1, 56.12.0-4.c.1.6, 104.12.0.?, $\ldots$	$[(348791/2, 606059/2), (105765, 9996111)]$	$1$
458640.gi1	458640gi3	458640.gi	458640gi	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{17} \cdot 3^{6} \cdot 5^{12} \cdot 7^{8} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$15.45589293$	$1$		$1$	$141557760$	$3.742374$	$143378317900125424089/4976562500000$	$1.02185$	$5.59963$	$[0, 0, 0, -769387563, 8213964694362]$	\(y^2=x^3-769387563x+8213964694362\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0.y.1, 104.12.0.?, 168.12.0.?, $\ldots$	$[(108793209/10, 1134391244427/10)]$	$1$
473200.dx1	473200dx3	473200.dx	473200dx	$4$	$4$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{17} \cdot 5^{18} \cdot 7^{2} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.13	2B	$520$	$48$	$0$	$1$	$9$	$3$	$1$	$371589120$	$4.307304$	$143378317900125424089/4976562500000$	$1.02185$	$6.10503$	$[0, 0, 0, -7371116675, 243576293509250]$	\(y^2=x^3-7371116675x+243576293509250\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 20.12.0-4.c.1.2, 40.24.0-40.y.1.8, $\ldots$	$[ ]$	$1$
481390.s1	481390s3	481390.s	481390s	$4$	$4$	\( 2 \cdot 5 \cdot 7 \cdot 13 \cdot 23^{2} \)	\( 2^{5} \cdot 5^{12} \cdot 7^{2} \cdot 13 \cdot 23^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$11960$	$48$	$0$	$1.143522720$	$1$		$4$	$43253760$	$3.094711$	$143378317900125424089/4976562500000$	$1.02185$	$4.98493$	$[1, -1, 0, -57682259, 168630303765]$	\(y^2+xy=x^3-x^2-57682259x+168630303765\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0.y.1, 104.12.0.?, 184.12.0.?, $\ldots$	$[(3111, 137307)]$	$1$

  Download displayed columns for results to