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
13650.k2	13650n1	13650.k	13650n	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{2} \cdot 3^{10} \cdot 5^{3} \cdot 7^{3} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$21120$	$0.814088$	$-36495256013/1053197964$	$0.96287$	$3.47403$	$[1, 1, 0, -345, -17775]$	\(y^2+xy=x^3+x^2-345x-17775\)	2.3.0.a.1, 120.6.0.?, 910.6.0.?, 2184.6.0.?, 10920.12.0.?	$[]$
13650.di2	13650di1	13650.di	13650di	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{2} \cdot 3^{10} \cdot 5^{9} \cdot 7^{3} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$105600$	$1.618807$	$-36495256013/1053197964$	$0.96287$	$4.48823$	$[1, 0, 0, -8638, -2204608]$	\(y^2+xy=x^3-8638x-2204608\)	2.3.0.a.1, 120.6.0.?, 910.6.0.?, 2184.6.0.?, 10920.12.0.?	$[]$
40950.bo2	40950cu1	40950.bo	40950cu	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{2} \cdot 3^{16} \cdot 5^{9} \cdot 7^{3} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1.327044090$	$1$		$9$	$844800$	$2.168114$	$-36495256013/1053197964$	$0.96287$	$4.64461$	$[1, -1, 0, -77742, 59524416]$	\(y^2+xy=x^3-x^2-77742x+59524416\)	2.3.0.a.1, 120.6.0.?, 910.6.0.?, 2184.6.0.?, 10920.12.0.?	$[(294, 7728)]$
40950.cv2	40950fa1	40950.cv	40950fa	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{2} \cdot 3^{16} \cdot 5^{3} \cdot 7^{3} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$168960$	$1.363394$	$-36495256013/1053197964$	$0.96287$	$3.73534$	$[1, -1, 1, -3110, 476817]$	\(y^2+xy+y=x^3-x^2-3110x+476817\)	2.3.0.a.1, 120.6.0.?, 910.6.0.?, 2184.6.0.?, 10920.12.0.?	$[]$
95550.fw2	95550fv1	95550.fw	95550fv	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{2} \cdot 3^{10} \cdot 5^{3} \cdot 7^{9} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$0.548800728$	$1$		$9$	$1013760$	$1.787043$	$-36495256013/1053197964$	$0.96287$	$3.90267$	$[1, 0, 1, -16931, 6046058]$	\(y^2+xy+y=x^3-16931x+6046058\)	2.3.0.a.1, 120.6.0.?, 910.6.0.?, 2184.6.0.?, 10920.12.0.?	$[(-108, 2626)]$
95550.ir2	95550ia1	95550.ir	95550ia	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{2} \cdot 3^{10} \cdot 5^{9} \cdot 7^{9} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$9$	$3$	$1$	$5068800$	$2.591763$	$-36495256013/1053197964$	$0.96287$	$4.74476$	$[1, 1, 1, -423263, 755757281]$	\(y^2+xy+y=x^3+x^2-423263x+755757281\)	2.3.0.a.1, 120.6.0.?, 910.6.0.?, 2184.6.0.?, 10920.12.0.?	$[]$
109200.a2	109200en1	109200.a	109200en	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{14} \cdot 3^{10} \cdot 5^{9} \cdot 7^{3} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$2534400$	$2.311954$	$-36495256013/1053197964$	$0.96287$	$4.40071$	$[0, -1, 0, -138208, 141094912]$	\(y^2=x^3-x^2-138208x+141094912\)	2.3.0.a.1, 120.6.0.?, 910.6.0.?, 2184.6.0.?, 10920.12.0.?	$[]$
109200.ft2	109200hg1	109200.ft	109200hg	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{14} \cdot 3^{10} \cdot 5^{3} \cdot 7^{3} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$0.305487528$	$1$		$13$	$506880$	$1.507235$	$-36495256013/1053197964$	$0.96287$	$3.56831$	$[0, 1, 0, -5528, 1126548]$	\(y^2=x^3+x^2-5528x+1126548\)	2.3.0.a.1, 120.6.0.?, 910.6.0.?, 2184.6.0.?, 10920.12.0.?	$[(22, 1008)]$
177450.cr2	177450fv1	177450.cr	177450fv	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{2} \cdot 3^{10} \cdot 5^{9} \cdot 7^{3} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$2.659542863$	$1$		$5$	$17740800$	$2.901283$	$-36495256013/1053197964$	$0.96287$	$4.80905$	$[1, 0, 1, -1459826, -4842063952]$	\(y^2+xy+y=x^3-1459826x-4842063952\)	2.3.0.a.1, 120.6.0.?, 910.6.0.?, 2184.6.0.?, 10920.12.0.?	$[(2328, 64999)]$
177450.go2	177450ck1	177450.go	177450ck	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{2} \cdot 3^{10} \cdot 5^{3} \cdot 7^{3} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$3548160$	$2.096561$	$-36495256013/1053197964$	$0.96287$	$4.01009$	$[1, 1, 1, -58393, -38759869]$	\(y^2+xy+y=x^3+x^2-58393x-38759869\)	2.3.0.a.1, 120.6.0.?, 910.6.0.?, 2184.6.0.?, 10920.12.0.?	$[]$
286650.d2	286650d1	286650.d	286650d	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{2} \cdot 3^{16} \cdot 5^{9} \cdot 7^{9} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$40550400$	$3.141068$	$-36495256013/1053197964$	$0.96287$	$4.85450$	$[1, -1, 0, -3809367, -20409255959]$	\(y^2+xy=x^3-x^2-3809367x-20409255959\)	2.3.0.a.1, 120.6.0.?, 910.6.0.?, 2184.6.0.?, 10920.12.0.?	$[]$
286650.ix2	286650ix1	286650.ix	286650ix	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{2} \cdot 3^{16} \cdot 5^{3} \cdot 7^{9} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$8110080$	$2.336349$	$-36495256013/1053197964$	$0.96287$	$4.08603$	$[1, -1, 1, -152375, -163243573]$	\(y^2+xy+y=x^3-x^2-152375x-163243573\)	2.3.0.a.1, 120.6.0.?, 910.6.0.?, 2184.6.0.?, 10920.12.0.?	$[]$
327600.gq2	327600gq1	327600.gq	327600gq	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{14} \cdot 3^{16} \cdot 5^{9} \cdot 7^{3} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$20.13786423$	$1$		$1$	$20275200$	$2.861259$	$-36495256013/1053197964$	$0.96287$	$4.53906$	$[0, 0, 0, -1243875, -3808318750]$	\(y^2=x^3-1243875x-3808318750\)	2.3.0.a.1, 120.6.0.?, 910.6.0.?, 2184.6.0.?, 10920.12.0.?	$[(3148482881/41, 176665573393904/41)]$
327600.nt2	327600nt1	327600.nt	327600nt	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{14} \cdot 3^{16} \cdot 5^{3} \cdot 7^{3} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$3.331273585$	$1$		$5$	$4055040$	$2.056541$	$-36495256013/1053197964$	$0.96287$	$3.77867$	$[0, 0, 0, -49755, -30466550]$	\(y^2=x^3-49755x-30466550\)	2.3.0.a.1, 120.6.0.?, 910.6.0.?, 2184.6.0.?, 10920.12.0.?	$[(845, 23040)]$
436800.fq2	436800fq1	436800.fq	436800fq	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{20} \cdot 3^{10} \cdot 5^{9} \cdot 7^{3} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$6.885060220$	$1$		$1$	$20275200$	$2.658527$	$-36495256013/1053197964$	$0.96287$	$4.25120$	$[0, -1, 0, -552833, -1128206463]$	\(y^2=x^3-x^2-552833x-1128206463\)	2.3.0.a.1, 120.6.0.?, 910.6.0.?, 2184.6.0.?, 10920.12.0.?	$[(34057/3, 6094592/3)]$
436800.kd2	436800kd1	436800.kd	436800kd	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{20} \cdot 3^{10} \cdot 5^{3} \cdot 7^{3} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$2.202639134$	$1$		$5$	$4055040$	$1.853809$	$-36495256013/1053197964$	$0.96287$	$3.50765$	$[0, -1, 0, -22113, 9034497]$	\(y^2=x^3-x^2-22113x+9034497\)	2.3.0.a.1, 120.6.0.?, 910.6.0.?, 2184.6.0.?, 10920.12.0.?	$[(-179, 2688)]$
436800.km2	436800km1	436800.km	436800km	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{20} \cdot 3^{10} \cdot 5^{3} \cdot 7^{3} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$4055040$	$1.853809$	$-36495256013/1053197964$	$0.96287$	$3.50765$	$[0, 1, 0, -22113, -9034497]$	\(y^2=x^3+x^2-22113x-9034497\)	2.3.0.a.1, 120.6.0.?, 910.6.0.?, 2184.6.0.?, 10920.12.0.?	$[]$
436800.ov2	436800ov1	436800.ov	436800ov	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{20} \cdot 3^{10} \cdot 5^{9} \cdot 7^{3} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$20275200$	$2.658527$	$-36495256013/1053197964$	$0.96287$	$4.25120$	$[0, 1, 0, -552833, 1128206463]$	\(y^2=x^3+x^2-552833x+1128206463\)	2.3.0.a.1, 120.6.0.?, 910.6.0.?, 2184.6.0.?, 10920.12.0.?	$[]$