Elliptic curve search results

Results (18 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
32760.i2	32760b1	32760.i	32760b	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{10} \cdot 3^{9} \cdot 5^{14} \cdot 7^{2} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$24.95652886$	$1$		$1$	$1999872$	$2.938725$	$-553867390580563692/657061767578125$	$1.08968$	$5.65452$	$[0, 0, 0, -4656123, -6753539322]$	\(y^2=x^3-4656123x-6753539322\)	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[(865720942746/7669, 795937996086627744/7669)]$
32760.z2	32760y1	32760.z	32760y	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{10} \cdot 3^{3} \cdot 5^{14} \cdot 7^{2} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1.023481920$	$1$		$7$	$666624$	$2.389416$	$-553867390580563692/657061767578125$	$1.08968$	$5.02052$	$[0, 0, 0, -517347, 250131086]$	\(y^2=x^3-517347x+250131086\)	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[(107, 14000)]$
65520.bc2	65520d1	65520.bc	65520d	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{10} \cdot 3^{9} \cdot 5^{14} \cdot 7^{2} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$3999744$	$2.938725$	$-553867390580563692/657061767578125$	$1.08968$	$5.30110$	$[0, 0, 0, -4656123, 6753539322]$	\(y^2=x^3-4656123x+6753539322\)	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[]$
65520.eh2	65520j1	65520.eh	65520j	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{10} \cdot 3^{3} \cdot 5^{14} \cdot 7^{2} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1.647259310$	$1$		$7$	$1333248$	$2.389416$	$-553867390580563692/657061767578125$	$1.08968$	$4.70673$	$[0, 0, 0, -517347, -250131086]$	\(y^2=x^3-517347x-250131086\)	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[(1643, 57750)]$
163800.dd2	163800ew1	163800.dd	163800ew	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{10} \cdot 3^{3} \cdot 5^{20} \cdot 7^{2} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$2.815331139$	$1$		$3$	$15998976$	$3.194138$	$-553867390580563692/657061767578125$	$1.08968$	$5.15182$	$[0, 0, 0, -12933675, 31266385750]$	\(y^2=x^3-12933675x+31266385750\)	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[(-2545, 218400)]$
163800.ez2	163800cj1	163800.ez	163800cj	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{10} \cdot 3^{9} \cdot 5^{20} \cdot 7^{2} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$9$	$3$	$1$	$47996928$	$3.743443$	$-553867390580563692/657061767578125$	$1.08968$	$5.70083$	$[0, 0, 0, -116403075, -844192415250]$	\(y^2=x^3-116403075x-844192415250\)	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[]$
229320.l2	229320ck1	229320.l	229320ck	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{10} \cdot 3^{3} \cdot 5^{14} \cdot 7^{8} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$31997952$	$3.362373$	$-553867390580563692/657061767578125$	$1.08968$	$5.17494$	$[0, 0, 0, -25350003, -85794962498]$	\(y^2=x^3-25350003x-85794962498\)	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[]$
229320.ew2	229320ep1	229320.ew	229320ep	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{10} \cdot 3^{9} \cdot 5^{14} \cdot 7^{8} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$95993856$	$3.911678$	$-553867390580563692/657061767578125$	$1.08968$	$5.70898$	$[0, 0, 0, -228150027, 2316463987446]$	\(y^2=x^3-228150027x+2316463987446\)	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[]$
262080.dg2	262080dg1	262080.dg	262080dg	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{16} \cdot 3^{3} \cdot 5^{14} \cdot 7^{2} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$10665984$	$2.735989$	$-553867390580563692/657061767578125$	$1.08968$	$4.51709$	$[0, 0, 0, -2069388, 2001048688]$	\(y^2=x^3-2069388x+2001048688\)	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[]$
262080.ek2	262080ek1	262080.ek	262080ek	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{16} \cdot 3^{3} \cdot 5^{14} \cdot 7^{2} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$10665984$	$2.735989$	$-553867390580563692/657061767578125$	$1.08968$	$4.51709$	$[0, 0, 0, -2069388, -2001048688]$	\(y^2=x^3-2069388x-2001048688\)	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[]$
262080.hn2	262080hn1	262080.hn	262080hn	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{16} \cdot 3^{9} \cdot 5^{14} \cdot 7^{2} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1.027598264$	$1$		$7$	$31997952$	$3.285297$	$-553867390580563692/657061767578125$	$1.08968$	$5.04542$	$[0, 0, 0, -18624492, -54028314576]$	\(y^2=x^3-18624492x-54028314576\)	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[(16158, 1965600)]$
262080.nd2	262080nd1	262080.nd	262080nd	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{16} \cdot 3^{9} \cdot 5^{14} \cdot 7^{2} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$0.732480664$	$1$		$7$	$31997952$	$3.285297$	$-553867390580563692/657061767578125$	$1.08968$	$5.04542$	$[0, 0, 0, -18624492, 54028314576]$	\(y^2=x^3-18624492x+54028314576\)	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[(4642, 260000)]$
327600.bq2	327600bq1	327600.bq	327600bq	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{10} \cdot 3^{9} \cdot 5^{20} \cdot 7^{2} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$95993856$	$3.743443$	$-553867390580563692/657061767578125$	$1.08968$	$5.38967$	$[0, 0, 0, -116403075, 844192415250]$	\(y^2=x^3-116403075x+844192415250\)	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[]$
327600.fy2	327600fy1	327600.fy	327600fy	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{10} \cdot 3^{3} \cdot 5^{20} \cdot 7^{2} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$31997952$	$3.194138$	$-553867390580563692/657061767578125$	$1.08968$	$4.87063$	$[0, 0, 0, -12933675, -31266385750]$	\(y^2=x^3-12933675x-31266385750\)	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[]$
425880.cq2	425880cq1	425880.cq	425880cq	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2^{10} \cdot 3^{3} \cdot 5^{14} \cdot 7^{2} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$9$	$3$	$1$	$111992832$	$3.671890$	$-553867390580563692/657061767578125$	$1.08968$	$5.21434$	$[0, 0, 0, -87431643, 549537995942]$	\(y^2=x^3-87431643x+549537995942\)	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[]$
425880.dy2	425880dy1	425880.dy	425880dy	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2^{10} \cdot 3^{9} \cdot 5^{14} \cdot 7^{2} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$335978496$	$4.221199$	$-553867390580563692/657061767578125$	$1.08968$	$5.72288$	$[0, 0, 0, -786884787, -14837525890434]$	\(y^2=x^3-786884787x-14837525890434\)	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[]$
458640.fy2	458640fy1	458640.fy	458640fy	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{10} \cdot 3^{3} \cdot 5^{14} \cdot 7^{8} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$4.036393761$	$1$		$3$	$63995904$	$3.362373$	$-553867390580563692/657061767578125$	$1.08968$	$4.89978$	$[0, 0, 0, -25350003, 85794962498]$	\(y^2=x^3-25350003x+85794962498\)	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[(3353, 196196)]$
458640.is2	458640is1	458640.is	458640is	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{10} \cdot 3^{9} \cdot 5^{14} \cdot 7^{8} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$191987712$	$3.911678$	$-553867390580563692/657061767578125$	$1.08968$	$5.40543$	$[0, 0, 0, -228150027, -2316463987446]$	\(y^2=x^3-228150027x-2316463987446\)	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[]$