Elliptic curve search results

Results (20 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
14196.h1	14196q1	14196.h	14196q	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{8} \cdot 7^{6} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.31	2B	$4368$	$96$	$3$	$3.749663161$	$1$		$3$	$1797120$	$3.116127$	$416013434950254592/771895089$	$1.18442$	$6.94787$	$[0, 1, 0, -86098965, -307528130376]$	\(y^2=x^3+x^2-86098965x-307528130376\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 26.6.0.b.1, 28.12.0.m.1, $\ldots$	$[(21012, 2675946)]$
14196.q1	14196l1	14196.q	14196l	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{8} \cdot 7^{6} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.31	2B	$4368$	$96$	$3$	$1$	$1$		$1$	$138240$	$1.833651$	$416013434950254592/771895089$	$1.18442$	$5.33819$	$[0, 1, 0, -509461, -140133148]$	\(y^2=x^3+x^2-509461x-140133148\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 26.6.0.b.1, 28.12.0.m.1, $\ldots$	$[ ]$
42588.a1	42588o1	42588.a	42588o	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{14} \cdot 7^{6} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.31	2B	$4368$	$96$	$3$	$1$	$1$		$1$	$1105920$	$2.382957$	$416013434950254592/771895089$	$1.18442$	$5.40640$	$[0, 0, 0, -4585152, 3779009845]$	\(y^2=x^3-4585152x+3779009845\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 26.6.0.b.1, 28.12.0.m.1, $\ldots$	$[ ]$
42588.z1	42588ba1	42588.z	42588ba	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{14} \cdot 7^{6} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.31	2B	$4368$	$96$	$3$	$2.609013450$	$1$		$3$	$14376960$	$3.665432$	$416013434950254592/771895089$	$1.18442$	$6.85018$	$[0, 0, 0, -774890688, 8302484629465]$	\(y^2=x^3-774890688x+8302484629465\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 26.6.0.b.1, 28.12.0.m.1, $\ldots$	$[(9980, 1250235)]$
56784.a1	56784bt1	56784.a	56784bt	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{8} \cdot 7^{6} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.31	2B	$4368$	$96$	$3$	$10.24123540$	$1$		$1$	$7188480$	$3.116127$	$416013434950254592/771895089$	$1.18442$	$6.06802$	$[0, -1, 0, -86098965, 307528130376]$	\(y^2=x^3-x^2-86098965x+307528130376\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 26.6.0.b.1, 28.12.0.m.1, $\ldots$	$[(1368644/17, 379668758/17)]$
56784.bo1	56784cj1	56784.bo	56784cj	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{8} \cdot 7^{6} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.31	2B	$4368$	$96$	$3$	$1$	$1$		$1$	$552960$	$1.833651$	$416013434950254592/771895089$	$1.18442$	$4.66218$	$[0, -1, 0, -509461, 140133148]$	\(y^2=x^3-x^2-509461x+140133148\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 26.6.0.b.1, 28.12.0.m.1, $\ldots$	$[ ]$
99372.b1	99372ba1	99372.b	99372ba	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{8} \cdot 7^{12} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.31	2B	$4368$	$96$	$3$	$1$	$1$		$1$	$6635520$	$2.806606$	$416013434950254592/771895089$	$1.18442$	$5.45011$	$[0, -1, 0, -24963605, 48015742566]$	\(y^2=x^3-x^2-24963605x+48015742566\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 26.6.0.b.1, 28.12.0.m.1, $\ldots$	$[ ]$
99372.z1	99372z1	99372.z	99372z	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{8} \cdot 7^{12} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.31	2B	$4368$	$96$	$3$	$1$	$25$	$5$	$1$	$86261760$	$4.089081$	$416013434950254592/771895089$	$1.18442$	$6.78758$	$[0, -1, 0, -4218849301, 105473711020378]$	\(y^2=x^3-x^2-4218849301x+105473711020378\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 26.6.0.b.1, 28.12.0.m.1, $\ldots$	$[ ]$
170352.f1	170352a1	170352.f	170352a	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{14} \cdot 7^{6} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.31	2B	$4368$	$96$	$3$	$3.244502954$	$1$		$3$	$4423680$	$2.382957$	$416013434950254592/771895089$	$1.18442$	$4.78419$	$[0, 0, 0, -4585152, -3779009845]$	\(y^2=x^3-4585152x-3779009845\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 26.6.0.b.1, 28.12.0.m.1, $\ldots$	$[(-4943/2, 567/2)]$
170352.gi1	170352cy1	170352.gi	170352cy	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{14} \cdot 7^{6} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.31	2B	$4368$	$96$	$3$	$1$	$25$	$5$	$1$	$57507840$	$3.665432$	$416013434950254592/771895089$	$1.18442$	$6.06181$	$[0, 0, 0, -774890688, -8302484629465]$	\(y^2=x^3-774890688x-8302484629465\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 26.6.0.b.1, 28.12.0.m.1, $\ldots$	$[ ]$
227136.c1	227136hb1	227136.c	227136hb	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{8} \cdot 7^{6} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.31	2B	$4368$	$96$	$3$	$1$	$1$		$1$	$4423680$	$2.180225$	$416013434950254592/771895089$	$1.18442$	$4.47535$	$[0, -1, 0, -2037845, -1119027339]$	\(y^2=x^3-x^2-2037845x-1119027339\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 26.6.0.b.1, 28.12.0.m.1, $\ldots$	$[ ]$
227136.er1	227136jl1	227136.er	227136jl	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{8} \cdot 7^{6} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.31	2B	$4368$	$96$	$3$	$23.81163955$	$1$		$1$	$57507840$	$3.462700$	$416013434950254592/771895089$	$1.18442$	$5.72316$	$[0, -1, 0, -344395861, -2459880647147]$	\(y^2=x^3-x^2-344395861x-2459880647147\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 26.6.0.b.1, 28.12.0.m.1, $\ldots$	$[(6127617792829/10525, 14171578162638354108/10525)]$
227136.eu1	227136a1	227136.eu	227136a	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{8} \cdot 7^{6} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.31	2B	$4368$	$96$	$3$	$0.343750909$	$1$		$11$	$4423680$	$2.180225$	$416013434950254592/771895089$	$1.18442$	$4.47535$	$[0, 1, 0, -2037845, 1119027339]$	\(y^2=x^3+x^2-2037845x+1119027339\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 26.6.0.b.1, 28.12.0.m.1, $\ldots$	$[(862, 1911)]$
227136.ji1	227136cf1	227136.ji	227136cf	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{8} \cdot 7^{6} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.31	2B	$4368$	$96$	$3$	$1$	$4$	$2$	$1$	$57507840$	$3.462700$	$416013434950254592/771895089$	$1.18442$	$5.72316$	$[0, 1, 0, -344395861, 2459880647147]$	\(y^2=x^3+x^2-344395861x+2459880647147\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 26.6.0.b.1, 28.12.0.m.1, $\ldots$	$[ ]$
298116.c1	298116c1	298116.c	298116c	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{14} \cdot 7^{12} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.31	2B	$4368$	$96$	$3$	$44.96382627$	$1$		$1$	$690094080$	$4.638390$	$416013434950254592/771895089$	$1.18442$	$6.71893$	$[0, 0, 0, -37969643712, -2847752227906495]$	\(y^2=x^3-37969643712x-2847752227906495\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 26.6.0.b.1, 28.12.0.m.1, $\ldots$	$[(-14252713764396942518012/356060293, 2225472680754381031645780458819/356060293)]$
298116.do1	298116do1	298116.do	298116do	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{14} \cdot 7^{12} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.31	2B	$4368$	$96$	$3$	$81.90703877$	$1$		$1$	$53084160$	$3.355911$	$416013434950254592/771895089$	$1.18442$	$5.49804$	$[0, 0, 0, -224672448, -1296200376835]$	\(y^2=x^3-224672448x-1296200376835\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 26.6.0.b.1, 28.12.0.m.1, $\ldots$	$[(34679275755549101714399318930203048039/13756825298924585, 203517231353313779545116688831183287837533384231044347462/13756825298924585)]$
354900.i1	354900i1	354900.i	354900i	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{8} \cdot 5^{6} \cdot 7^{6} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.31	2B	$4368$	$96$	$3$	$22.03146218$	$1$		$1$	$143769600$	$3.920845$	$416013434950254592/771895089$	$1.18442$	$5.95350$	$[0, -1, 0, -2152474133, -38436711348738]$	\(y^2=x^3-x^2-2152474133x-38436711348738\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 26.6.0.b.1, 28.12.0.m.1, $\ldots$	$[(-12426307248247/21541, 76776271784274951/21541)]$
354900.bm1	354900bm1	354900.bm	354900bm	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{8} \cdot 5^{6} \cdot 7^{6} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.31	2B	$4368$	$96$	$3$	$1$	$1$		$1$	$11059200$	$2.638371$	$416013434950254592/771895089$	$1.18442$	$4.74926$	$[0, -1, 0, -12736533, -17491170438]$	\(y^2=x^3-x^2-12736533x-17491170438\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 26.6.0.b.1, 28.12.0.m.1, $\ldots$	$[ ]$
397488.fk1	397488fk1	397488.fk	397488fk	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{8} \cdot 7^{12} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.31	2B	$4368$	$96$	$3$	$14.01058329$	$1$		$1$	$26542080$	$2.806606$	$416013434950254592/771895089$	$1.18442$	$4.86410$	$[0, 1, 0, -24963605, -48015742566]$	\(y^2=x^3+x^2-24963605x-48015742566\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 26.6.0.b.1, 28.12.0.m.1, $\ldots$	$[(8687194/31, 20316978942/31)]$
397488.kg1	397488kg1	397488.kg	397488kg	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{8} \cdot 7^{12} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.31	2B	$4368$	$96$	$3$	$104.9674119$	$1$		$1$	$345047040$	$4.089081$	$416013434950254592/771895089$	$1.18442$	$6.05775$	$[0, 1, 0, -4218849301, -105473711020378]$	\(y^2=x^3+x^2-4218849301x-105473711020378\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 26.6.0.b.1, 28.12.0.m.1, $\ldots$	$[(336852773840348718934596307424005616709870190886/1907699084849385518455, 119652458397791498939284604201723532411115847098993566059910687928472934/1907699084849385518455)]$

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