Elliptic curve search results

Results (26 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	Manin constant
8736.h1	8736c2	8736.h	8736c	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{6} \cdot 7 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$12288$	$0.852956$	$6665900968000/862407$	$0.94837$	$4.17024$	$[0, -1, 0, -6273, -189135]$	\(y^2=x^3-x^2-6273x-189135\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[ ]$	$1$
8736.v1	8736y2	8736.v	8736y	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{6} \cdot 7 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$0.645538674$	$1$		$7$	$12288$	$0.852956$	$6665900968000/862407$	$0.94837$	$4.17024$	$[0, 1, 0, -6273, 189135]$	\(y^2=x^3+x^2-6273x+189135\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(42, 39)]$	$1$
17472.v1	17472g1	17472.v	17472g	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3^{6} \cdot 7 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$12288$	$0.506382$	$6665900968000/862407$	$0.94837$	$3.44858$	$[0, -1, 0, -1568, 24426]$	\(y^2=x^3-x^2-1568x+24426\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[ ]$	$1$
17472.cg1	17472t1	17472.cg	17472t	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3^{6} \cdot 7 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$12288$	$0.506382$	$6665900968000/862407$	$0.94837$	$3.44858$	$[0, 1, 0, -1568, -24426]$	\(y^2=x^3+x^2-1568x-24426\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[ ]$	$1$
26208.u1	26208bk2	26208.u	26208bk	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{12} \cdot 7 \cdot 13^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$2.440221998$	$1$		$13$	$98304$	$1.402262$	$6665900968000/862407$	$0.94837$	$4.36783$	$[0, 0, 0, -56460, 5163104]$	\(y^2=x^3-56460x+5163104\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(88, 936), (140, 52)]$	$1$
26208.x1	26208u2	26208.x	26208u	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{12} \cdot 7 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$98304$	$1.402262$	$6665900968000/862407$	$0.94837$	$4.36783$	$[0, 0, 0, -56460, -5163104]$	\(y^2=x^3-56460x-5163104\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[ ]$	$1$
52416.dm1	52416bk1	52416.dm	52416bk	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3^{12} \cdot 7 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$98304$	$1.055689$	$6665900968000/862407$	$0.94837$	$3.70652$	$[0, 0, 0, -14115, 645388]$	\(y^2=x^3-14115x+645388\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[ ]$	$1$
52416.dn1	52416ck1	52416.dn	52416ck	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3^{12} \cdot 7 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$5.540334810$	$1$		$1$	$98304$	$1.055689$	$6665900968000/862407$	$0.94837$	$3.70652$	$[0, 0, 0, -14115, -645388]$	\(y^2=x^3-14115x-645388\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(3697/2, 222831/2)]$	$1$
61152.k1	61152bd2	61152.k	61152bd	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( 2^{12} \cdot 3^{6} \cdot 7^{7} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1.959320288$	$1$		$3$	$589824$	$1.825911$	$6665900968000/862407$	$0.94837$	$4.49331$	$[0, -1, 0, -307393, -65488079]$	\(y^2=x^3-x^2-307393x-65488079\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(2707, 137592)]$	$1$
61152.bt1	61152q2	61152.bt	61152q	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( 2^{12} \cdot 3^{6} \cdot 7^{7} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$0.694440735$	$1$		$11$	$589824$	$1.825911$	$6665900968000/862407$	$0.94837$	$4.49331$	$[0, 1, 0, -307393, 65488079]$	\(y^2=x^3+x^2-307393x+65488079\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(23, 7644)]$	$1$
113568.s1	113568bx2	113568.s	113568bx	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{12} \cdot 3^{6} \cdot 7 \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$20.20100104$	$1$		$1$	$2064384$	$2.135429$	$6665900968000/862407$	$0.94837$	$4.57343$	$[0, -1, 0, -1060193, -419770287]$	\(y^2=x^3-x^2-1060193x-419770287\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(11347364287/2619, 871069679186356/2619)]$	$1$
113568.ch1	113568y2	113568.ch	113568y	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{12} \cdot 3^{6} \cdot 7 \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$2064384$	$2.135429$	$6665900968000/862407$	$0.94837$	$4.57343$	$[0, 1, 0, -1060193, 419770287]$	\(y^2=x^3+x^2-1060193x+419770287\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[ ]$	$1$
122304.by1	122304bp1	122304.by	122304bp	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( 2^{6} \cdot 3^{6} \cdot 7^{7} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$2.237927178$	$1$		$3$	$589824$	$1.479338$	$6665900968000/862407$	$0.94837$	$3.87240$	$[0, -1, 0, -76848, 8224434]$	\(y^2=x^3-x^2-76848x+8224434\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(51, 2106)]$	$1$
122304.gx1	122304ea1	122304.gx	122304ea	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( 2^{6} \cdot 3^{6} \cdot 7^{7} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$589824$	$1.479338$	$6665900968000/862407$	$0.94837$	$3.87240$	$[0, 1, 0, -76848, -8224434]$	\(y^2=x^3+x^2-76848x-8224434\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[ ]$	$1$
183456.bs1	183456u2	183456.bs	183456u	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{12} \cdot 3^{12} \cdot 7^{7} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$4718592$	$2.375217$	$6665900968000/862407$	$0.94837$	$4.62988$	$[0, 0, 0, -2766540, -1770944672]$	\(y^2=x^3-2766540x-1770944672\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[ ]$	$1$
183456.cp1	183456dc2	183456.cp	183456dc	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{12} \cdot 3^{12} \cdot 7^{7} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$0.920251144$	$1$		$9$	$4718592$	$2.375217$	$6665900968000/862407$	$0.94837$	$4.62988$	$[0, 0, 0, -2766540, 1770944672]$	\(y^2=x^3-2766540x+1770944672\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(994, 1764)]$	$1$
218400.a1	218400fi2	218400.a	218400fi	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 7 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$0.815897713$	$1$		$9$	$1769472$	$1.657675$	$6665900968000/862407$	$0.94837$	$3.86384$	$[0, -1, 0, -156833, 23955537]$	\(y^2=x^3-x^2-156833x+23955537\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(277, 1300)]$	$1$
218400.fq1	218400s2	218400.fq	218400s	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 7 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$1769472$	$1.657675$	$6665900968000/862407$	$0.94837$	$3.86384$	$[0, 1, 0, -156833, -23955537]$	\(y^2=x^3+x^2-156833x-23955537\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[ ]$	$1$
227136.ce1	227136ig1	227136.ce	227136ig	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{6} \cdot 3^{6} \cdot 7 \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$9.479252250$	$1$		$1$	$2064384$	$1.788857$	$6665900968000/862407$	$0.94837$	$3.97919$	$[0, -1, 0, -265048, 52603810]$	\(y^2=x^3-x^2-265048x+52603810\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(173029/6, 71569979/6)]$	$1$
227136.hk1	227136fv1	227136.hk	227136fv	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{6} \cdot 3^{6} \cdot 7 \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$19.27488435$	$1$		$1$	$2064384$	$1.788857$	$6665900968000/862407$	$0.94837$	$3.97919$	$[0, 1, 0, -265048, -52603810]$	\(y^2=x^3+x^2-265048x-52603810\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(2679755389/1122, 134246175737219/1122)]$	$1$
340704.cc1	340704cc2	340704.cc	340704cc	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{12} \cdot 3^{12} \cdot 7 \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$10.12893035$	$1$		$1$	$16515072$	$2.684738$	$6665900968000/862407$	$0.94837$	$4.69646$	$[0, 0, 0, -9541740, -11343339488]$	\(y^2=x^3-9541740x-11343339488\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(435708/11, 41849132/11)]$	$1$
340704.db1	340704db2	340704.db	340704db	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{12} \cdot 3^{12} \cdot 7 \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$4.886216728$	$1$		$3$	$16515072$	$2.684738$	$6665900968000/862407$	$0.94837$	$4.69646$	$[0, 0, 0, -9541740, 11343339488]$	\(y^2=x^3-9541740x+11343339488\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(1576, 14832)]$	$1$
366912.gv1	366912gv1	366912.gv	366912gv	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{6} \cdot 3^{12} \cdot 7^{7} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$4718592$	$2.028645$	$6665900968000/862407$	$0.94837$	$4.05483$	$[0, 0, 0, -691635, 221368084]$	\(y^2=x^3-691635x+221368084\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[ ]$	$1$
366912.jr1	366912jr1	366912.jr	366912jr	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{6} \cdot 3^{12} \cdot 7^{7} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$4$	$2$	$1$	$4718592$	$2.028645$	$6665900968000/862407$	$0.94837$	$4.05483$	$[0, 0, 0, -691635, -221368084]$	\(y^2=x^3-691635x-221368084\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[ ]$	$1$
436800.ft1	436800ft1	436800.ft	436800ft	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 7 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$5.942236477$	$1$		$1$	$1769472$	$1.311100$	$6665900968000/862407$	$0.94837$	$3.33740$	$[0, -1, 0, -39208, -2974838]$	\(y^2=x^3-x^2-39208x-2974838\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(917/2, 1443/2)]$	$1$
436800.oy1	436800oy1	436800.oy	436800oy	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 7 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1.933286177$	$1$		$3$	$1769472$	$1.311100$	$6665900968000/862407$	$0.94837$	$3.33740$	$[0, 1, 0, -39208, 2974838]$	\(y^2=x^3+x^2-39208x+2974838\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(-187, 1950)]$	$1$

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