Elliptic curve search results

Results (15 matches)

 

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
4641.b4	4641b1	4641.b	4641b	$6$	$8$	\( 3 \cdot 7 \cdot 13 \cdot 17 \)	\( 3 \cdot 7 \cdot 13 \cdot 17^{2} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.45	2B	$74256$	$192$	$1$	$4.173359409$	$1$		$5$	$1536$	$0.342166$	$491411892194497/78897$	$0.90629$	$4.00682$	$[1, 1, 1, -1644, 24972]$	\(y^2+xy+y=x^3+x^2-1644x+24972\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 208.48.0.?, 272.48.0.?, $\ldots$	$[(279, 4484)]$
13923.i4	13923f1	13923.i	13923f	$6$	$8$	\( 3^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( 3^{7} \cdot 7 \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$74256$	$192$	$1$	$14.94605322$	$1$		$1$	$12288$	$0.891472$	$491411892194497/78897$	$0.90629$	$4.23632$	$[1, -1, 0, -14796, -689045]$	\(y^2+xy=x^3-x^2-14796x-689045\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 24.24.0-8.n.1.12, $\ldots$	$[(2235130/111, 2069327405/111)]$
32487.e4	32487m1	32487.e	32487m	$6$	$8$	\( 3 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( 3 \cdot 7^{7} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$74256$	$192$	$1$	$16.51410117$	$1$		$1$	$73728$	$1.315121$	$491411892194497/78897$	$0.90629$	$4.38017$	$[1, 0, 0, -80557, -8807128]$	\(y^2+xy=x^3-80557x-8807128\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 28.12.0-4.c.1.2, 48.24.0-8.n.1.5, $\ldots$	$[(77119501/405, 487272416059/405)]$
60333.l4	60333d1	60333.l	60333d	$6$	$8$	\( 3 \cdot 7 \cdot 13^{2} \cdot 17 \)	\( 3 \cdot 7 \cdot 13^{7} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.8	2B	$74256$	$192$	$1$	$11.39526251$	$1$		$1$	$258048$	$1.624641$	$491411892194497/78897$	$0.90629$	$4.47126$	$[1, 1, 0, -277839, 56253072]$	\(y^2+xy=x^3+x^2-277839x+56253072\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.2, 52.12.0-4.c.1.2, $\ldots$	$[(710129/40, 276375037/40)]$
74256.cd4	74256dd1	74256.cd	74256dd	$6$	$8$	\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3 \cdot 7 \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.55	2B	$74256$	$192$	$1$	$1$	$4$	$2$	$1$	$98304$	$1.035313$	$491411892194497/78897$	$0.90629$	$3.75792$	$[0, 1, 0, -26304, -1650828]$	\(y^2=x^3+x^2-26304x-1650828\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 208.48.0.?, 272.48.0.?, $\ldots$	$[]$
78897.g4	78897l1	78897.g	78897l	$6$	$8$	\( 3 \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 3 \cdot 7 \cdot 13 \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.4	2B	$74256$	$192$	$1$	$1$	$4$	$2$	$1$	$442368$	$1.758772$	$491411892194497/78897$	$0.90629$	$4.50763$	$[1, 0, 0, -475122, 126014163]$	\(y^2+xy=x^3-475122x+126014163\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.8, 68.12.0-4.c.1.2, $\ldots$	$[]$
97461.s4	97461l1	97461.s	97461l	$6$	$8$	\( 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \)	\( 3^{7} \cdot 7^{7} \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.3	2B	$74256$	$192$	$1$	$1$	$1$		$1$	$589824$	$1.864428$	$491411892194497/78897$	$0.90629$	$4.53508$	$[1, -1, 0, -725013, 237792456]$	\(y^2+xy=x^3-x^2-725013x+237792456\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.5, 52.12.0-4.c.1.2, $\ldots$	$[]$
116025.bq4	116025bg1	116025.bq	116025bg	$6$	$8$	\( 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( 3 \cdot 5^{6} \cdot 7 \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$371280$	$192$	$1$	$7.200944420$	$1$		$1$	$196608$	$1.146885$	$491411892194497/78897$	$0.90629$	$3.72891$	$[1, 0, 1, -41101, 3203723]$	\(y^2+xy+y=x^3-41101x+3203723\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 20.12.0-4.c.1.2, 40.24.0-8.n.1.1, $\ldots$	$[(9733/9, -307/9)]$
180999.f4	180999e1	180999.f	180999e	$6$	$8$	\( 3^{2} \cdot 7 \cdot 13^{2} \cdot 17 \)	\( 3^{7} \cdot 7 \cdot 13^{7} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$74256$	$192$	$1$	$12.89443112$	$1$		$1$	$2064384$	$2.173946$	$491411892194497/78897$	$0.90629$	$4.60999$	$[1, -1, 1, -2500556, -1521333498]$	\(y^2+xy+y=x^3-x^2-2500556x-1521333498\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 28.12.0-4.c.1.2, 48.24.0-8.n.1.4, $\ldots$	$[(3640872/41, 3836044701/41)]$
222768.fc4	222768bu1	222768.fc	222768bu	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3^{7} \cdot 7 \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$74256$	$192$	$1$	$1.413991050$	$1$		$3$	$786432$	$1.584620$	$491411892194497/78897$	$0.90629$	$3.95795$	$[0, 0, 0, -236739, 44335618]$	\(y^2=x^3-236739x+44335618\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 24.24.0-8.n.1.10, $\ldots$	$[(89, 4896)]$
236691.r4	236691r1	236691.r	236691r	$6$	$8$	\( 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 3^{7} \cdot 7 \cdot 13 \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$74256$	$192$	$1$	$1$	$4$	$2$	$1$	$3538944$	$2.308079$	$491411892194497/78897$	$0.90629$	$4.64012$	$[1, -1, 0, -4276098, -3402382401]$	\(y^2+xy=x^3-x^2-4276098x-3402382401\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 48.24.0-8.n.1.6, 56.24.0-8.n.1.8, $\ldots$	$[]$
297024.dd4	297024dd1	297024.dd	297024dd	$6$	$8$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{18} \cdot 3 \cdot 7 \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.95	2B	$74256$	$192$	$1$	$1$	$4$	$2$	$1$	$786432$	$1.381887$	$491411892194497/78897$	$0.90629$	$3.67454$	$[0, -1, 0, -105217, -13101407]$	\(y^2=x^3-x^2-105217x-13101407\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 208.48.0.?, 272.48.0.?, $\ldots$	$[]$
297024.gv4	297024gv1	297024.gv	297024gv	$6$	$8$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{18} \cdot 3 \cdot 7 \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.97	2B	$74256$	$192$	$1$	$6.843244955$	$1$		$1$	$786432$	$1.381887$	$491411892194497/78897$	$0.90629$	$3.67454$	$[0, 1, 0, -105217, 13101407]$	\(y^2=x^3+x^2-105217x+13101407\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 208.48.0.?, 272.48.0.?, $\ldots$	$[(19789/10, 261987/10)]$
348075.z4	348075z1	348075.z	348075z	$6$	$8$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( 3^{7} \cdot 5^{6} \cdot 7 \cdot 13 \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$371280$	$192$	$1$	$14.23453632$	$1$		$9$	$1572864$	$1.696192$	$491411892194497/78897$	$0.90629$	$3.92445$	$[1, -1, 1, -369905, -86500528]$	\(y^2+xy+y=x^3-x^2-369905x-86500528\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[(1674, 62275), (1249, 36775)]$
422331.br4	422331br1	422331.br	422331br	$6$	$8$	\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \)	\( 3 \cdot 7^{7} \cdot 13^{7} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$74256$	$192$	$1$	$16.83461041$	$1$		$1$	$12386304$	$2.597595$	$491411892194497/78897$	$0.90629$	$4.70091$	$[1, 0, 1, -13614137, -19335646081]$	\(y^2+xy+y=x^3-13614137x-19335646081\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 24.24.0-8.n.1.1, $\ldots$	$[(20046654343/1314, 2659497281984269/1314)]$