Elliptic curve search results

Results (14 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
4794.h1	4794h2	4794.h	4794h	$2$	$2$	\( 2 \cdot 3 \cdot 17 \cdot 47 \)	\( 2^{6} \cdot 3 \cdot 17 \cdot 47^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$9588$	$12$	$0$	$1$	$4$	$2$	$0$	$6144$	$0.878257$	$583306826994199153/7210176$	$0.96107$	$4.82677$	$[1, 0, 0, -17407, -885415]$	\(y^2+xy=x^3-17407x-885415\)	2.3.0.a.1, 188.6.0.?, 204.6.0.?, 9588.12.0.?	$[ ]$
14382.d1	14382c2	14382.d	14382c	$2$	$2$	\( 2 \cdot 3^{2} \cdot 17 \cdot 47 \)	\( 2^{6} \cdot 3^{7} \cdot 17 \cdot 47^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9588$	$12$	$0$	$1.719710362$	$1$		$4$	$49152$	$1.427563$	$583306826994199153/7210176$	$0.96107$	$4.96140$	$[1, -1, 0, -156663, 23906205]$	\(y^2+xy=x^3-x^2-156663x+23906205\)	2.3.0.a.1, 188.6.0.?, 204.6.0.?, 9588.12.0.?	$[(217, 197)]$
38352.h1	38352m2	38352.h	38352m	$2$	$2$	\( 2^{4} \cdot 3 \cdot 17 \cdot 47 \)	\( 2^{18} \cdot 3 \cdot 17 \cdot 47^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9588$	$12$	$0$	$1$	$4$	$2$	$1$	$147456$	$1.571404$	$583306826994199153/7210176$	$0.96107$	$4.66388$	$[0, -1, 0, -278512, 56666560]$	\(y^2=x^3-x^2-278512x+56666560\)	2.3.0.a.1, 188.6.0.?, 204.6.0.?, 9588.12.0.?	$[ ]$
81498.o1	81498n2	81498.o	81498n	$2$	$2$	\( 2 \cdot 3 \cdot 17^{2} \cdot 47 \)	\( 2^{6} \cdot 3 \cdot 17^{7} \cdot 47^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9588$	$12$	$0$	$1$	$4$	$2$	$0$	$1769472$	$2.294865$	$583306826994199153/7210176$	$0.96107$	$5.12072$	$[1, 1, 1, -5030629, -4345013269]$	\(y^2+xy+y=x^3+x^2-5030629x-4345013269\)	2.3.0.a.1, 188.6.0.?, 204.6.0.?, 9588.12.0.?	$[ ]$
115056.j1	115056q2	115056.j	115056q	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 17 \cdot 47 \)	\( 2^{18} \cdot 3^{7} \cdot 17 \cdot 47^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9588$	$12$	$0$	$10.55491296$	$1$		$1$	$1179648$	$2.120708$	$583306826994199153/7210176$	$0.96107$	$4.78985$	$[0, 0, 0, -2506611, -1527490510]$	\(y^2=x^3-2506611x-1527490510\)	2.3.0.a.1, 188.6.0.?, 204.6.0.?, 9588.12.0.?	$[(53879/5, 6937742/5)]$
119850.j1	119850c2	119850.j	119850c	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 47 \)	\( 2^{6} \cdot 3 \cdot 5^{6} \cdot 17 \cdot 47^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9588$	$12$	$0$	$1$	$1$		$0$	$786432$	$1.682976$	$583306826994199153/7210176$	$0.96107$	$4.32394$	$[1, 1, 0, -435175, -110676875]$	\(y^2+xy=x^3+x^2-435175x-110676875\)	2.3.0.a.1, 188.6.0.?, 204.6.0.?, 9588.12.0.?	$[ ]$
153408.k1	153408ce2	153408.k	153408ce	$2$	$2$	\( 2^{6} \cdot 3 \cdot 17 \cdot 47 \)	\( 2^{24} \cdot 3 \cdot 17 \cdot 47^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9588$	$12$	$0$	$1$	$4$	$2$	$1$	$1179648$	$1.917978$	$583306826994199153/7210176$	$0.96107$	$4.47071$	$[0, -1, 0, -1114049, -452218431]$	\(y^2=x^3-x^2-1114049x-452218431\)	2.3.0.a.1, 188.6.0.?, 204.6.0.?, 9588.12.0.?	$[ ]$
153408.bq1	153408e2	153408.bq	153408e	$2$	$2$	\( 2^{6} \cdot 3 \cdot 17 \cdot 47 \)	\( 2^{24} \cdot 3 \cdot 17 \cdot 47^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9588$	$12$	$0$	$1.206989164$	$4$	$2$	$5$	$1179648$	$1.917978$	$583306826994199153/7210176$	$0.96107$	$4.47071$	$[0, 1, 0, -1114049, 452218431]$	\(y^2=x^3+x^2-1114049x+452218431\)	2.3.0.a.1, 188.6.0.?, 204.6.0.?, 9588.12.0.?	$[(591, 768)]$
225318.be1	225318c2	225318.be	225318c	$2$	$2$	\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \)	\( 2^{6} \cdot 3 \cdot 17 \cdot 47^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9588$	$12$	$0$	$2.032761234$	$4$	$2$	$2$	$13565952$	$2.803329$	$583306826994199153/7210176$	$0.96107$	$5.19326$	$[1, 0, 0, -38452109, 91772633169]$	\(y^2+xy=x^3-38452109x+91772633169\)	2.3.0.a.1, 188.6.0.?, 204.6.0.?, 9588.12.0.?	$[(8550, 618663)]$
234906.bg1	234906bg2	234906.bg	234906bg	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \cdot 47 \)	\( 2^{6} \cdot 3 \cdot 7^{6} \cdot 17 \cdot 47^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9588$	$12$	$0$	$1.956276414$	$1$		$16$	$2359296$	$1.851212$	$583306826994199153/7210176$	$0.96107$	$4.25190$	$[1, 1, 1, -852944, 302844401]$	\(y^2+xy+y=x^3+x^2-852944x+302844401\)	2.3.0.a.1, 188.6.0.?, 204.6.0.?, 9588.12.0.?	$[(545, 217), (533, -259)]$
244494.o1	244494o2	244494.o	244494o	$2$	$2$	\( 2 \cdot 3^{2} \cdot 17^{2} \cdot 47 \)	\( 2^{6} \cdot 3^{7} \cdot 17^{7} \cdot 47^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9588$	$12$	$0$	$1.835722863$	$1$		$2$	$14155776$	$2.844170$	$583306826994199153/7210176$	$0.96107$	$5.19858$	$[1, -1, 0, -45275661, 117270082597]$	\(y^2+xy=x^3-x^2-45275661x+117270082597\)	2.3.0.a.1, 188.6.0.?, 204.6.0.?, 9588.12.0.?	$[(18866, 2435507)]$
359550.de1	359550de2	359550.de	359550de	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17 \cdot 47 \)	\( 2^{6} \cdot 3^{7} \cdot 5^{6} \cdot 17 \cdot 47^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9588$	$12$	$0$	$1.155410305$	$1$		$22$	$6291456$	$2.232281$	$583306826994199153/7210176$	$0.96107$	$4.46788$	$[1, -1, 1, -3916580, 2984359047]$	\(y^2+xy+y=x^3-x^2-3916580x+2984359047\)	2.3.0.a.1, 188.6.0.?, 204.6.0.?, 9588.12.0.?	$[(1139, -345), (689, 24405)]$
460224.de1	460224de2	460224.de	460224de	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 17 \cdot 47 \)	\( 2^{24} \cdot 3^{7} \cdot 17 \cdot 47^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9588$	$12$	$0$	$6.373623541$	$1$		$1$	$9437184$	$2.467285$	$583306826994199153/7210176$	$0.96107$	$4.59956$	$[0, 0, 0, -10026444, 12219924080]$	\(y^2=x^3-10026444x+12219924080\)	2.3.0.a.1, 188.6.0.?, 204.6.0.?, 9588.12.0.?	$[(45716/5, 4264/5)]$
460224.df1	460224df2	460224.df	460224df	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 17 \cdot 47 \)	\( 2^{24} \cdot 3^{7} \cdot 17 \cdot 47^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9588$	$12$	$0$	$24.08818228$	$1$		$1$	$9437184$	$2.467285$	$583306826994199153/7210176$	$0.96107$	$4.59956$	$[0, 0, 0, -10026444, -12219924080]$	\(y^2=x^3-10026444x-12219924080\)	2.3.0.a.1, 188.6.0.?, 204.6.0.?, 9588.12.0.?	$[(59384849657/3872, 5866136970233715/3872)]$

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