Elliptic curve search results

Results (25 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
1430.h2	1430h3	1430.h	1430h	$4$	$4$	\( 2 \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{5} \cdot 5^{4} \cdot 11^{12} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.8	2B	$5720$	$48$	$0$	$1$	$1$		$0$	$26880$	$2.258202$	$87501897507774086005761/815991377947460000$	$1.03224$	$7.27086$	$[1, -1, 1, -924907, 339830939]$	\(y^2+xy+y=x^3-x^2-924907x+339830939\)	2.3.0.a.1, 4.12.0-4.c.1.2, 104.24.0.?, 440.24.0.?, 5720.48.0.?	$[ ]$
7150.h2	7150a3	7150.h	7150a	$4$	$4$	\( 2 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{5} \cdot 5^{10} \cdot 11^{12} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5720$	$48$	$0$	$10.95407874$	$1$		$0$	$645120$	$3.062923$	$87501897507774086005761/815991377947460000$	$1.03224$	$7.04040$	$[1, -1, 0, -23122667, 42455744741]$	\(y^2+xy=x^3-x^2-23122667x+42455744741\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 88.12.0.?, 104.12.0.?, $\ldots$	$[(1655099/19, 1226493122/19)]$
11440.o2	11440s4	11440.o	11440s	$4$	$4$	\( 2^{4} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{17} \cdot 5^{4} \cdot 11^{12} \cdot 13 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$5720$	$48$	$0$	$5.094710441$	$1$		$5$	$645120$	$2.951351$	$87501897507774086005761/815991377947460000$	$1.03224$	$6.54302$	$[0, 0, 0, -14798507, -21734381606]$	\(y^2=x^3-14798507x-21734381606\)	2.3.0.a.1, 4.12.0-4.c.1.1, 104.24.0.?, 440.24.0.?, 5720.48.0.?	$[(44533, 9361440)]$
12870.g2	12870m4	12870.g	12870m	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{5} \cdot 3^{6} \cdot 5^{4} \cdot 11^{12} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$17160$	$48$	$0$	$1$	$1$		$0$	$860160$	$2.807510$	$87501897507774086005761/815991377947460000$	$1.03224$	$6.27917$	$[1, -1, 0, -8324160, -9167111200]$	\(y^2+xy=x^3-x^2-8324160x-9167111200\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 104.12.0.?, 312.24.0.?, $\ldots$	$[ ]$
15730.k2	15730j4	15730.k	15730j	$4$	$4$	\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2^{5} \cdot 5^{4} \cdot 11^{18} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5720$	$48$	$0$	$18.72611386$	$1$		$0$	$3225600$	$3.457150$	$87501897507774086005761/815991377947460000$	$1.03224$	$6.95551$	$[1, -1, 0, -111913709, -451979239035]$	\(y^2+xy=x^3-x^2-111913709x-451979239035\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 44.12.0-4.c.1.1, 104.12.0.?, $\ldots$	$[(-7568670889/1109, 86563389404493/1109)]$
18590.f2	18590e3	18590.f	18590e	$4$	$4$	\( 2 \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{5} \cdot 5^{4} \cdot 11^{12} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$5720$	$48$	$0$	$1$	$1$		$0$	$4515840$	$3.540676$	$87501897507774086005761/815991377947460000$	$1.03224$	$6.93927$	$[1, -1, 0, -156309230, 746139645876]$	\(y^2+xy=x^3-x^2-156309230x+746139645876\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 52.12.0-4.c.1.1, 104.24.0.?, $\ldots$	$[ ]$
45760.y2	45760z3	45760.y	45760z	$4$	$4$	\( 2^{6} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{23} \cdot 5^{4} \cdot 11^{12} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$5720$	$48$	$0$	$1$	$1$		$1$	$5160960$	$3.297924$	$87501897507774086005761/815991377947460000$	$1.03224$	$6.08532$	$[0, 0, 0, -59194028, -173875052848]$	\(y^2=x^3-59194028x-173875052848\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 52.12.0-4.c.1.2, 104.24.0.?, $\ldots$	$[ ]$
45760.bc2	45760e3	45760.bc	45760e	$4$	$4$	\( 2^{6} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{23} \cdot 5^{4} \cdot 11^{12} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$5720$	$48$	$0$	$1$	$1$		$1$	$5160960$	$3.297924$	$87501897507774086005761/815991377947460000$	$1.03224$	$6.08532$	$[0, 0, 0, -59194028, 173875052848]$	\(y^2=x^3-59194028x+173875052848\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 52.12.0-4.c.1.1, 104.24.0.?, $\ldots$	$[ ]$
57200.bf2	57200bj3	57200.bf	57200bj	$4$	$4$	\( 2^{4} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{17} \cdot 5^{10} \cdot 11^{12} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5720$	$48$	$0$	$6.479776444$	$1$		$1$	$15482880$	$3.756069$	$87501897507774086005761/815991377947460000$	$1.03224$	$6.46324$	$[0, 0, 0, -369962675, -2716797700750]$	\(y^2=x^3-369962675x-2716797700750\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 88.12.0.?, 104.12.0.?, $\ldots$	$[(-43295/2, 1118425/2)]$
64350.dy2	64350ec3	64350.dy	64350ec	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{5} \cdot 3^{6} \cdot 5^{10} \cdot 11^{12} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$17160$	$48$	$0$	$1$	$1$		$0$	$20643840$	$3.612228$	$87501897507774086005761/815991377947460000$	$1.03224$	$6.23859$	$[1, -1, 1, -208104005, -1146097004003]$	\(y^2+xy+y=x^3-x^2-208104005x-1146097004003\)	2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 104.12.0.?, 264.12.0.?, $\ldots$	$[ ]$
70070.bq2	70070bd3	70070.bq	70070bd	$4$	$4$	\( 2 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{5} \cdot 5^{4} \cdot 7^{6} \cdot 11^{12} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$40040$	$48$	$0$	$13.60766411$	$1$		$0$	$10321920$	$3.231159$	$87501897507774086005761/815991377947460000$	$1.03224$	$5.78112$	$[1, -1, 1, -45320428, -116471371313]$	\(y^2+xy+y=x^3-x^2-45320428x-116471371313\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 104.12.0.?, 440.12.0.?, $\ldots$	$[(6637787/29, 3126345483/29)]$
78650.cj2	78650cc3	78650.cj	78650cc	$4$	$4$	\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( 2^{5} \cdot 5^{10} \cdot 11^{18} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$5720$	$48$	$0$	$1$	$4$	$2$	$0$	$77414400$	$4.261871$	$87501897507774086005761/815991377947460000$	$1.03224$	$6.81909$	$[1, -1, 1, -2797842730, -56500202722103]$	\(y^2+xy+y=x^3-x^2-2797842730x-56500202722103\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 104.24.0.?, 220.12.0.?, $\ldots$	$[ ]$
92950.ch2	92950cc3	92950.ch	92950cc	$4$	$4$	\( 2 \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	\( 2^{5} \cdot 5^{10} \cdot 11^{12} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5720$	$48$	$0$	$1.090193562$	$1$		$2$	$108380160$	$4.345398$	$87501897507774086005761/815991377947460000$	$1.03224$	$6.80713$	$[1, -1, 1, -3907730755, 93263548003747]$	\(y^2+xy+y=x^3-x^2-3907730755x+93263548003747\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 88.12.0.?, 104.12.0.?, $\ldots$	$[(24229, 3566460)]$
102960.bg2	102960dc3	102960.bg	102960dc	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{17} \cdot 3^{6} \cdot 5^{4} \cdot 11^{12} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$17160$	$48$	$0$	$1$	$4$	$2$	$1$	$20643840$	$3.500656$	$87501897507774086005761/815991377947460000$	$1.03224$	$5.86855$	$[0, 0, 0, -133186563, 586828303362]$	\(y^2=x^3-133186563x+586828303362\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 104.12.0.?, 312.24.0.?, $\ldots$	$[ ]$
125840.bf2	125840cc3	125840.bf	125840cc	$4$	$4$	\( 2^{4} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2^{17} \cdot 5^{4} \cdot 11^{18} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5720$	$48$	$0$	$1$	$1$		$1$	$77414400$	$4.150299$	$87501897507774086005761/815991377947460000$	$1.03224$	$6.43214$	$[0, 0, 0, -1790619347, 28928461917586]$	\(y^2=x^3-1790619347x+28928461917586\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 44.12.0-4.c.1.2, 104.12.0.?, $\ldots$	$[ ]$
141570.df2	141570br4	141570.df	141570br	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2^{5} \cdot 3^{6} \cdot 5^{4} \cdot 11^{18} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$17160$	$48$	$0$	$1$	$4$	$2$	$0$	$103219200$	$4.006454$	$87501897507774086005761/815991377947460000$	$1.03224$	$6.22273$	$[1, -1, 1, -1007223383, 12204446677327]$	\(y^2+xy+y=x^3-x^2-1007223383x+12204446677327\)	2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 120.12.0.?, 132.12.0.?, $\ldots$	$[ ]$
148720.z2	148720q3	148720.z	148720q	$4$	$4$	\( 2^{4} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{17} \cdot 5^{4} \cdot 11^{12} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$5720$	$48$	$0$	$1$	$25$	$5$	$1$	$108380160$	$4.233826$	$87501897507774086005761/815991377947460000$	$1.03224$	$6.42608$	$[0, 0, 0, -2500947683, -47750436388382]$	\(y^2=x^3-2500947683x-47750436388382\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 52.12.0-4.c.1.2, 104.24.0.?, $\ldots$	$[ ]$
167310.fc2	167310m3	167310.fc	167310m	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{5} \cdot 3^{6} \cdot 5^{4} \cdot 11^{12} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$17160$	$48$	$0$	$1$	$1$		$0$	$144506880$	$4.089981$	$87501897507774086005761/815991377947460000$	$1.03224$	$6.21964$	$[1, -1, 1, -1406783072, -20144363655581]$	\(y^2+xy+y=x^3-x^2-1406783072x-20144363655581\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 104.12.0.?, 156.12.0.?, $\ldots$	$[ ]$
204490.co2	204490bc3	204490.co	204490bc	$4$	$4$	\( 2 \cdot 5 \cdot 11^{2} \cdot 13^{2} \)	\( 2^{5} \cdot 5^{4} \cdot 11^{18} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5720$	$48$	$0$	$18.44262441$	$1$		$0$	$541900800$	$4.739624$	$87501897507774086005761/815991377947460000$	$1.03224$	$6.75508$	$[1, -1, 1, -18913416853, -993055128410419]$	\(y^2+xy+y=x^3-x^2-18913416853x-993055128410419\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.6, 88.12.0.?, 104.12.0.?, $\ldots$	$[(-350955701235/2149, 23385593556036958/2149)]$
228800.db2	228800ce3	228800.db	228800ce	$4$	$4$	\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{23} \cdot 5^{10} \cdot 11^{12} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5720$	$48$	$0$	$32.83963725$	$1$		$1$	$123863040$	$4.102646$	$87501897507774086005761/815991377947460000$	$1.03224$	$6.07419$	$[0, 0, 0, -1479850700, -21734381606000]$	\(y^2=x^3-1479850700x-21734381606000\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 88.12.0.?, 104.12.0.?, $\ldots$	$[(-122827737411141630/2444293, 72159327135058609040000/2444293)]$
228800.dl2	228800ez4	228800.dl	228800ez	$4$	$4$	\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{23} \cdot 5^{10} \cdot 11^{12} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5720$	$48$	$0$	$2.438791269$	$1$		$3$	$123863040$	$4.102646$	$87501897507774086005761/815991377947460000$	$1.03224$	$6.07419$	$[0, 0, 0, -1479850700, 21734381606000]$	\(y^2=x^3-1479850700x+21734381606000\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 88.12.0.?, 104.12.0.?, $\ldots$	$[(-33490, 5808000)]$
350350.bw2	350350bw3	350350.bw	350350bw	$4$	$4$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{5} \cdot 5^{10} \cdot 7^{6} \cdot 11^{12} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$40040$	$48$	$0$	$40.15183390$	$1$		$0$	$247726080$	$4.035873$	$87501897507774086005761/815991377947460000$	$1.03224$	$5.80871$	$[1, -1, 0, -1133010692, -14560054424784]$	\(y^2+xy=x^3-x^2-1133010692x-14560054424784\)	2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 140.12.0.?, 440.12.0.?, $\ldots$	$[(1648896652482464995/3723141, 2018151409430012737344860486/3723141)]$
411840.jo2	411840jo3	411840.jo	411840jo	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{23} \cdot 3^{6} \cdot 5^{4} \cdot 11^{12} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$17160$	$48$	$0$	$15.37737480$	$1$		$1$	$165150720$	$3.847229$	$87501897507774086005761/815991377947460000$	$1.03224$	$5.56096$	$[0, 0, 0, -532746252, -4694626426896]$	\(y^2=x^3-532746252x-4694626426896\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 104.12.0.?, 156.12.0.?, $\ldots$	$[(757658382/107, 19364313536640/107)]$
411840.kp2	411840kp4	411840.kp	411840kp	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{23} \cdot 3^{6} \cdot 5^{4} \cdot 11^{12} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$17160$	$48$	$0$	$1.700007942$	$1$		$3$	$165150720$	$3.847229$	$87501897507774086005761/815991377947460000$	$1.03224$	$5.56096$	$[0, 0, 0, -532746252, 4694626426896]$	\(y^2=x^3-532746252x+4694626426896\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 104.12.0.?, 156.12.0.?, $\ldots$	$[(17922, 950400)]$
413270.ci2	413270ci4	413270.ci	413270ci	$4$	$4$	\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \)	\( 2^{5} \cdot 5^{4} \cdot 11^{12} \cdot 13 \cdot 17^{6} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$97240$	$48$	$0$	$2.691978634$	$1$		$12$	$137625600$	$3.674809$	$87501897507774086005761/815991377947460000$	$1.03224$	$5.39947$	$[1, -1, 1, -267298033, 1668520212481]$	\(y^2+xy+y=x^3-x^2-267298033x+1668520212481\)	2.3.0.a.1, 4.6.0.c.1, 68.12.0-4.c.1.1, 104.12.0.?, 440.12.0.?, $\ldots$	$[(-6005, 1751452), (33455/2, 1037391/2)]$

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