Elliptic curve search results

Results (15 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
19320.y2	19320ba3	19320.y	19320ba	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{11} \cdot 3^{2} \cdot 5^{8} \cdot 7^{4} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1288$	$48$	$0$	$1.972746872$	$1$		$3$	$81920$	$1.493246$	$372749784765122/194143359375$	$1.12387$	$4.17236$	$[0, 1, 0, -19040, -326112]$	\(y^2=x^3+x^2-19040x-326112\)	2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.z.1.12, 184.24.0.?, 1288.48.0.?	$[(-29, 450)]$
38640.bj2	38640m3	38640.bj	38640m	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{11} \cdot 3^{2} \cdot 5^{8} \cdot 7^{4} \cdot 23 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1288$	$48$	$0$	$0.724126406$	$1$		$15$	$163840$	$1.493246$	$372749784765122/194143359375$	$1.12387$	$3.89854$	$[0, -1, 0, -19040, 326112]$	\(y^2=x^3-x^2-19040x+326112\)	2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.z.1.4, 184.24.0.?, 1288.48.0.?	$[(4, 500)]$
57960.b2	57960k3	57960.b	57960k	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{11} \cdot 3^{8} \cdot 5^{8} \cdot 7^{4} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3864$	$48$	$0$	$1$	$1$		$1$	$655360$	$2.042553$	$372749784765122/194143359375$	$1.12387$	$4.35543$	$[0, 0, 0, -171363, 8633662]$	\(y^2=x^3-171363x+8633662\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.z.1, 168.24.0.?, $\ldots$	$[]$
96600.bk2	96600p3	96600.bk	96600p	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{11} \cdot 3^{2} \cdot 5^{14} \cdot 7^{4} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$6440$	$48$	$0$	$1$	$1$		$1$	$1966080$	$2.297966$	$372749784765122/194143359375$	$1.12387$	$4.42862$	$[0, -1, 0, -476008, -39811988]$	\(y^2=x^3-x^2-476008x-39811988\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 56.12.0.z.1, 184.12.0.?, $\ldots$	$[]$
115920.cd2	115920bc3	115920.cd	115920bc	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{11} \cdot 3^{8} \cdot 5^{8} \cdot 7^{4} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3864$	$48$	$0$	$1$	$1$		$1$	$1310720$	$2.042553$	$372749784765122/194143359375$	$1.12387$	$4.09653$	$[0, 0, 0, -171363, -8633662]$	\(y^2=x^3-171363x-8633662\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0.z.1, 168.24.0.?, $\ldots$	$[]$
135240.o2	135240by3	135240.o	135240by	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{11} \cdot 3^{2} \cdot 5^{8} \cdot 7^{10} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$1288$	$48$	$0$	$1$	$4$	$2$	$1$	$3932160$	$2.466202$	$372749784765122/194143359375$	$1.12387$	$4.47337$	$[0, -1, 0, -932976, 109990476]$	\(y^2=x^3-x^2-932976x+109990476\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.1, 56.24.0-56.z.1.10, $\ldots$	$[]$
154560.e2	154560hu4	154560.e	154560hu	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{17} \cdot 3^{2} \cdot 5^{8} \cdot 7^{4} \cdot 23 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$1288$	$48$	$0$	$3.937521956$	$1$		$17$	$1310720$	$1.839819$	$372749784765122/194143359375$	$1.12387$	$3.79429$	$[0, -1, 0, -76161, -2532735]$	\(y^2=x^3-x^2-76161x-2532735\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 56.24.0-56.z.1.3, 92.12.0.?, $\ldots$	$[(993, 30000), (-61, 1372)]$
154560.gc2	154560br3	154560.gc	154560br	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{17} \cdot 3^{2} \cdot 5^{8} \cdot 7^{4} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$1288$	$48$	$0$	$1$	$1$		$1$	$1310720$	$1.839819$	$372749784765122/194143359375$	$1.12387$	$3.79429$	$[0, 1, 0, -76161, 2532735]$	\(y^2=x^3+x^2-76161x+2532735\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 56.24.0-56.z.1.11, 92.12.0.?, $\ldots$	$[]$
193200.dw2	193200fw3	193200.dw	193200fw	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{11} \cdot 3^{2} \cdot 5^{14} \cdot 7^{4} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$6440$	$48$	$0$	$4.931254417$	$1$		$3$	$3932160$	$2.297966$	$372749784765122/194143359375$	$1.12387$	$4.17642$	$[0, 1, 0, -476008, 39811988]$	\(y^2=x^3+x^2-476008x+39811988\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 56.12.0.z.1, 184.12.0.?, $\ldots$	$[(1427, 47628)]$
270480.fd2	270480fd4	270480.fd	270480fd	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{11} \cdot 3^{2} \cdot 5^{8} \cdot 7^{10} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$1288$	$48$	$0$	$2.449396943$	$1$		$5$	$7864320$	$2.466202$	$372749784765122/194143359375$	$1.12387$	$4.22547$	$[0, 1, 0, -932976, -109990476]$	\(y^2=x^3+x^2-932976x-109990476\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.2, 56.24.0-56.z.1.2, $\ldots$	$[(-276, 11250)]$
289800.cs2	289800cs3	289800.cs	289800cs	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{11} \cdot 3^{8} \cdot 5^{14} \cdot 7^{4} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$2.678288430$	$1$		$3$	$15728640$	$2.847271$	$372749784765122/194143359375$	$1.12387$	$4.56588$	$[0, 0, 0, -4284075, 1079207750]$	\(y^2=x^3-4284075x+1079207750\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 60.12.0-4.c.1.1, 184.12.0.?, $\ldots$	$[(-1010, 66150)]$
405720.dy2	405720dy4	405720.dy	405720dy	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{11} \cdot 3^{8} \cdot 5^{8} \cdot 7^{10} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3864$	$48$	$0$	$1$	$1$		$1$	$31457280$	$3.015507$	$372749784765122/194143359375$	$1.12387$	$4.60325$	$[0, 0, 0, -8396787, -2961346066]$	\(y^2=x^3-8396787x-2961346066\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.z.1, 84.12.0.?, $\ldots$	$[]$
444360.bs2	444360bs3	444360.bs	444360bs	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 2^{11} \cdot 3^{2} \cdot 5^{8} \cdot 7^{4} \cdot 23^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$1288$	$48$	$0$	$6.325615312$	$1$		$1$	$43253760$	$3.060993$	$372749784765122/194143359375$	$1.12387$	$4.61302$	$[0, 1, 0, -10072336, 3887226464]$	\(y^2=x^3+x^2-10072336x+3887226464\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 56.24.0-56.z.1.6, 92.12.0.?, $\ldots$	$[(3079/3, 592480/3)]$
463680.kk2	463680kk3	463680.kk	463680kk	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{17} \cdot 3^{8} \cdot 5^{8} \cdot 7^{4} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3864$	$48$	$0$	$1.735269016$	$1$		$5$	$10485760$	$2.389126$	$372749784765122/194143359375$	$1.12387$	$3.98002$	$[0, 0, 0, -685452, 69069296]$	\(y^2=x^3-685452x+69069296\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 56.12.0.z.1, 168.24.0.?, $\ldots$	$[(37, 6615)]$
463680.lh2	463680lh4	463680.lh	463680lh	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{17} \cdot 3^{8} \cdot 5^{8} \cdot 7^{4} \cdot 23 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3864$	$48$	$0$	$0.781130394$	$1$		$31$	$10485760$	$2.389126$	$372749784765122/194143359375$	$1.12387$	$3.98002$	$[0, 0, 0, -685452, -69069296]$	\(y^2=x^3-685452x-69069296\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 56.12.0.z.1, 168.24.0.?, $\ldots$	$[(978, 14000), (-622, 10800)]$