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.w3	16830o2	16830.w	16830o	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{5} \cdot 3^{3} \cdot 5^{6} \cdot 11^{3} \cdot 17^{6} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$22440$	$96$	$1$	$1$	$1$		$4$	$322560$	$2.187401$	$1089365384367428097483/16063552169500000$	$1.08241$	$5.31663$	$[1, -1, 0, -643089, -195791427]$	\(y^2+xy=x^3-x^2-643089x-195791427\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 264.48.0.?, 1020.48.0.?, $\ldots$	$[]$
16830.bi1	16830bj4	16830.bi	16830bj	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{5} \cdot 3^{9} \cdot 5^{6} \cdot 11^{3} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$22440$	$96$	$1$	$1$	$1$		$0$	$967680$	$2.736706$	$1089365384367428097483/16063552169500000$	$1.08241$	$5.99403$	$[1, -1, 1, -5787803, 5292156331]$	\(y^2+xy+y=x^3-x^2-5787803x+5292156331\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 264.48.0.?, 1020.48.0.?, $\ldots$	$[]$
84150.dh1	84150f4	84150.dh	84150f	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{5} \cdot 3^{9} \cdot 5^{12} \cdot 11^{3} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$1$	$1$		$0$	$23224320$	$3.541424$	$1089365384367428097483/16063552169500000$	$1.08241$	$5.99488$	$[1, -1, 0, -144695067, 661374846341]$	\(y^2+xy=x^3-x^2-144695067x+661374846341\)	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, $\ldots$	$[]$
84150.gz3	84150eh2	84150.gz	84150eh	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{5} \cdot 3^{3} \cdot 5^{12} \cdot 11^{3} \cdot 17^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$2.793761143$	$1$		$2$	$7741440$	$2.992119$	$1089365384367428097483/16063552169500000$	$1.08241$	$5.41362$	$[1, -1, 1, -16077230, -24490005603]$	\(y^2+xy+y=x^3-x^2-16077230x-24490005603\)	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, $\ldots$	$[(5559, 237845)]$
134640.co1	134640ee4	134640.co	134640ee	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{17} \cdot 3^{9} \cdot 5^{6} \cdot 11^{3} \cdot 17^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$7.086385431$	$1$		$1$	$23224320$	$3.429852$	$1089365384367428097483/16063552169500000$	$1.08241$	$5.64294$	$[0, 0, 0, -92604843, -338605400358]$	\(y^2=x^3-92604843x-338605400358\)	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.?, $\ldots$	$[(2996709/7, 5119092000/7)]$
134640.fq3	134640di2	134640.fq	134640di	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{17} \cdot 3^{3} \cdot 5^{6} \cdot 11^{3} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$1$	$1$		$1$	$7741440$	$2.880547$	$1089365384367428097483/16063552169500000$	$1.08241$	$5.08481$	$[0, 0, 0, -10289427, 12540940754]$	\(y^2=x^3-10289427x+12540940754\)	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.?, $\ldots$	$[]$
185130.bg1	185130fr4	185130.bg	185130fr	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{5} \cdot 3^{9} \cdot 5^{6} \cdot 11^{9} \cdot 17^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$9.531909074$	$1$		$0$	$116121600$	$3.935654$	$1089365384367428097483/16063552169500000$	$1.08241$	$5.99521$	$[1, -1, 0, -700324125, -7041759104539]$	\(y^2+xy=x^3-x^2-700324125x-7041759104539\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.5, 33.8.0-3.a.1.1, $\ldots$	$[(-156483733/97, 72872598613/97)]$
185130.fo3	185130ca2	185130.fo	185130ca	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{5} \cdot 3^{3} \cdot 5^{6} \cdot 11^{9} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$1$	$1$		$0$	$38707200$	$3.386345$	$1089365384367428097483/16063552169500000$	$1.08241$	$5.45174$	$[1, -1, 1, -77813792, 260831830691]$	\(y^2+xy+y=x^3-x^2-77813792x+260831830691\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.13, 33.8.0-3.a.1.2, $\ldots$	$[]$
286110.bm3	286110bm2	286110.bm	286110bm	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2^{5} \cdot 3^{3} \cdot 5^{6} \cdot 11^{3} \cdot 17^{12} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$41.14102434$	$1$		$0$	$92897280$	$3.604004$	$1089365384367428097483/16063552169500000$	$1.08241$	$5.47073$	$[1, -1, 0, -185852775, -962666691875]$	\(y^2+xy=x^3-x^2-185852775x-962666691875\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 51.8.0-3.a.1.2, 60.24.0-6.a.1.9, $\ldots$	$[(-341133212175959811775/202462687, 758025004014617069622193355150/202462687)]$
286110.gu1	286110gu4	286110.gu	286110gu	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2^{5} \cdot 3^{9} \cdot 5^{6} \cdot 11^{3} \cdot 17^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$1$	$1$		$0$	$278691840$	$4.153313$	$1089365384367428097483/16063552169500000$	$1.08241$	$5.99537$	$[1, -1, 1, -1672674977, 25993673355601]$	\(y^2+xy+y=x^3-x^2-1672674977x+25993673355601\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 51.8.0-3.a.1.1, 60.24.0-6.a.1.5, $\ldots$	$[]$