Elliptic curve search results

Results (10 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
16830.w2	16830o3	16830.w	16830o	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{30} \cdot 3^{9} \cdot 5 \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$22440$	$96$	$1$	$1$	$9$	$3$	$1$	$483840$	$2.390133$	$-191808834096148160787/11043434659840$	$0.99316$	$5.81555$	$[1, -1, 0, -3243984, -2248180480]$	\(y^2+xy=x^3-x^2-3243984x-2248180480\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 264.48.0.?, 510.48.0.?, $\ldots$	$[]$
16830.bi3	16830bj1	16830.bi	16830bj	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{30} \cdot 3^{3} \cdot 5 \cdot 11^{2} \cdot 17 \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$22440$	$96$	$1$	$1$	$1$		$5$	$161280$	$1.840826$	$-191808834096148160787/11043434659840$	$0.99316$	$5.13816$	$[1, -1, 1, -360443, 83386091]$	\(y^2+xy+y=x^3-x^2-360443x+83386091\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 264.48.0.?, 510.48.0.?, $\ldots$	$[]$
84150.dh3	84150f1	84150.dh	84150f	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{30} \cdot 3^{3} \cdot 5^{7} \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$1$	$1$		$1$	$3870720$	$2.645546$	$-191808834096148160787/11043434659840$	$0.99316$	$5.26047$	$[1, -1, 0, -9011067, 10414250341]$	\(y^2+xy=x^3-x^2-9011067x+10414250341\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$	$[]$
84150.gz2	84150eh3	84150.gz	84150eh	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{30} \cdot 3^{9} \cdot 5^{7} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$4.190641715$	$1$		$5$	$11612160$	$3.194851$	$-191808834096148160787/11043434659840$	$0.99316$	$5.84173$	$[1, -1, 1, -81099605, -281103659603]$	\(y^2+xy+y=x^3-x^2-81099605x-281103659603\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$	$[(11479, 542360)]$
134640.co3	134640ee1	134640.co	134640ee	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{42} \cdot 3^{3} \cdot 5 \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$42.51831258$	$1$		$1$	$3870720$	$2.533974$	$-191808834096148160787/11043434659840$	$0.99316$	$4.93776$	$[0, 0, 0, -5767083, -5330942758]$	\(y^2=x^3-5767083x-5330942758\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 264.48.0.?, $\ldots$	$[(33554822912392460407/175279, 194371428617572137323371961058/175279)]$
134640.fq2	134640di3	134640.fq	134640di	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{42} \cdot 3^{9} \cdot 5 \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$1$	$9$	$3$	$1$	$11612160$	$3.083279$	$-191808834096148160787/11043434659840$	$0.99316$	$5.49589$	$[0, 0, 0, -51903747, 143935454466]$	\(y^2=x^3-51903747x+143935454466\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 264.48.0.?, $\ldots$	$[]$
185130.bg3	185130fr1	185130.bg	185130fr	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{30} \cdot 3^{3} \cdot 5 \cdot 11^{8} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$57.19145444$	$1$		$1$	$19353600$	$3.039772$	$-191808834096148160787/11043434659840$	$0.99316$	$5.30854$	$[1, -1, 0, -43613565, -110856046779]$	\(y^2+xy=x^3-x^2-43613565x-110856046779\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.2, 33.8.0-3.a.1.2, $\ldots$	$[(177183229425072784570549225/139333672752, 1343516552167067658573103194122517040787/139333672752)]$
185130.fo2	185130ca3	185130.fo	185130ca	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{30} \cdot 3^{9} \cdot 5 \cdot 11^{8} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$1$	$1$		$1$	$58060800$	$3.589081$	$-191808834096148160787/11043434659840$	$0.99316$	$5.85202$	$[1, -1, 1, -392522087, 2993505785119]$	\(y^2+xy+y=x^3-x^2-392522087x+2993505785119\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.10, 33.8.0-3.a.1.1, $\ldots$	$[]$
286110.bm2	286110bm3	286110.bm	286110bm	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{30} \cdot 3^{9} \cdot 5 \cdot 11^{2} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$61.71153652$	$1$		$1$	$139345920$	$3.806740$	$-191808834096148160787/11043434659840$	$0.99316$	$5.85714$	$[1, -1, 0, -937511430, -11049060743884]$	\(y^2+xy=x^3-x^2-937511430x-11049060743884\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0-6.a.1.3, 51.8.0-3.a.1.1, $\ldots$	$[(252994615367051616123243856537/2639989852664, 30180815171377495228021330782639742772897417/2639989852664)]$
286110.gu3	286110gu1	286110.gu	286110gu	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{30} \cdot 3^{3} \cdot 5 \cdot 11^{2} \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$1$	$1$		$1$	$46448640$	$3.257431$	$-191808834096148160787/11043434659840$	$0.99316$	$5.33250$	$[1, -1, 1, -104167937, 409259194641]$	\(y^2+xy+y=x^3-x^2-104167937x+409259194641\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0-6.a.1.4, 51.8.0-3.a.1.2, $\ldots$	$[]$