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.w4	16830o1	16830.w	16830o	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{10} \cdot 3^{3} \cdot 5^{3} \cdot 11^{6} \cdot 17^{3} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$22440$	$96$	$1$	$1$	$1$		$5$	$161280$	$1.840826$	$-305460292990923/1114070936704000$	$1.05007$	$4.66529$	$[1, -1, 0, -4209, -8344035]$	\(y^2+xy=x^3-x^2-4209x-8344035\)	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.?, $\ldots$	$[]$
16830.bi4	16830bj3	16830.bi	16830bj	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{10} \cdot 3^{9} \cdot 5^{3} \cdot 11^{6} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$22440$	$96$	$1$	$1$	$1$		$1$	$483840$	$2.390133$	$-305460292990923/1114070936704000$	$1.05007$	$5.34268$	$[1, -1, 1, -37883, 225326827]$	\(y^2+xy+y=x^3-x^2-37883x+225326827\)	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.?, $\ldots$	$[]$
84150.dh4	84150f3	84150.dh	84150f	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{10} \cdot 3^{9} \cdot 5^{9} \cdot 11^{6} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$1$	$1$		$1$	$11612160$	$3.194851$	$-305460292990923/1114070936704000$	$1.05007$	$5.43597$	$[1, -1, 0, -947067, 28164906341]$	\(y^2+xy=x^3-x^2-947067x+28164906341\)	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.gz4	84150eh1	84150.gz	84150eh	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{10} \cdot 3^{3} \cdot 5^{9} \cdot 11^{6} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$1.396880571$	$1$		$7$	$3870720$	$2.645546$	$-305460292990923/1114070936704000$	$1.05007$	$4.85471$	$[1, -1, 1, -105230, -1043109603]$	\(y^2+xy+y=x^3-x^2-105230x-1043109603\)	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, $\ldots$	$[(1929, 76035)]$
134640.co4	134640ee3	134640.co	134640ee	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{22} \cdot 3^{9} \cdot 5^{3} \cdot 11^{6} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$14.17277086$	$1$		$1$	$11612160$	$3.083279$	$-305460292990923/1114070936704000$	$1.05007$	$5.10628$	$[0, 0, 0, -606123, -14420310822]$	\(y^2=x^3-606123x-14420310822\)	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.?, $\ldots$	$[(76601823/139, 572841660006/139)]$
134640.fq4	134640di1	134640.fq	134640di	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{22} \cdot 3^{3} \cdot 5^{3} \cdot 11^{6} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$1$	$1$		$1$	$3870720$	$2.533974$	$-305460292990923/1114070936704000$	$1.05007$	$4.54815$	$[0, 0, 0, -67347, 534085586]$	\(y^2=x^3-67347x+534085586\)	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.bg4	185130fr3	185130.bg	185130fr	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{10} \cdot 3^{9} \cdot 5^{3} \cdot 11^{12} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$19.06381814$	$1$		$1$	$58060800$	$3.589081$	$-305460292990923/1114070936704000$	$1.05007$	$5.47263$	$[1, -1, 0, -4583805, -299896255675]$	\(y^2+xy=x^3-x^2-4583805x-299896255675\)	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, $\ldots$	$[(404706476266/689, 257319867633458891/689)]$
185130.fo4	185130ca1	185130.fo	185130ca	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{10} \cdot 3^{3} \cdot 5^{3} \cdot 11^{12} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$1$	$1$		$1$	$19353600$	$3.039772$	$-305460292990923/1114070936704000$	$1.05007$	$4.92916$	$[1, -1, 1, -509312, 11107438499]$	\(y^2+xy+y=x^3-x^2-509312x+11107438499\)	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, $\ldots$	$[]$
286110.bm4	286110bm1	286110.bm	286110bm	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{10} \cdot 3^{3} \cdot 5^{3} \cdot 11^{6} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$20.57051217$	$1$		$1$	$46448640$	$3.257431$	$-305460292990923/1114070936704000$	$1.05007$	$4.96626$	$[1, -1, 0, -1216455, -40999109699]$	\(y^2+xy=x^3-x^2-1216455x-40999109699\)	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, $\ldots$	$[(495136083630/9031, 306184619943577519/9031)]$
286110.gu4	286110gu3	286110.gu	286110gu	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{10} \cdot 3^{9} \cdot 5^{3} \cdot 11^{6} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$1$	$1$		$1$	$139345920$	$3.806740$	$-305460292990923/1114070936704000$	$1.05007$	$5.49091$	$[1, -1, 1, -10948097, 1106986909969]$	\(y^2+xy+y=x^3-x^2-10948097x+1106986909969\)	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, $\ldots$	$[]$