Elliptic curve search results

Results (18 matches)

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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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
21660.k1	21660n2	21660.k	21660n	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.33	2B	$760$	$48$	$1$	$0.730164382$	$1$		$7$	$23040$	$0.902864$	$519388144/164025$	$0.91550$	$3.45045$	$1$	$[0, -1, 0, -2020, 24232]$	\(y^2=x^3-x^2-2020x+24232\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 40.24.0.eg.1, 76.12.0.?, $\ldots$	$[(-6, 190)]$	$1$
21660.z1	21660bc2	21660.z	21660bc	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.33	2B	$760$	$48$	$1$	$1$	$1$		$1$	$437760$	$2.375084$	$519388144/164025$	$0.91550$	$5.22009$	$1$	$[0, 1, 0, -729340, -161831500]$	\(y^2=x^3+x^2-729340x-161831500\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 40.24.0.eg.1, 76.12.0.?, $\ldots$	$[ ]$	$1$
64980.a1	64980r2	64980.a	64980r	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{14} \cdot 5^{2} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.33	2B	$760$	$48$	$1$	$2.756840189$	$1$		$5$	$3502080$	$2.924389$	$519388144/164025$	$0.91550$	$5.29740$	$1$	$[0, 0, 0, -6564063, 4362886438]$	\(y^2=x^3-6564063x+4362886438\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 40.24.0.eg.1, 76.12.0.?, $\ldots$	$[(479, 36450)]$	$1$
64980.b1	64980q2	64980.b	64980q	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{14} \cdot 5^{2} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.33	2B	$760$	$48$	$1$	$2.977072276$	$1$		$3$	$184320$	$1.452169$	$519388144/164025$	$0.91550$	$3.70321$	$1$	$[0, 0, 0, -18183, -636082]$	\(y^2=x^3-18183x-636082\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 40.24.0.eg.1, 76.12.0.?, $\ldots$	$[(-86, 540)]$	$1$
86640.bz1	86640ck2	86640.bz	86640ck	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.33	2B	$760$	$48$	$1$	$16.91890478$	$1$		$1$	$1751040$	$2.375084$	$519388144/164025$	$0.91550$	$4.58360$	$1$	$[0, -1, 0, -729340, 161831500]$	\(y^2=x^3-x^2-729340x+161831500\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 40.24.0.eg.1, 76.12.0.?, $\ldots$	$[(438678805/194, 9163358716995/194)]$	$1$
86640.ef1	86640dy2	86640.ef	86640dy	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.33	2B	$760$	$48$	$1$	$1$	$1$		$1$	$92160$	$0.902864$	$519388144/164025$	$0.91550$	$3.02974$	$1$	$[0, 1, 0, -2020, -24232]$	\(y^2=x^3+x^2-2020x-24232\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 40.24.0.eg.1, 76.12.0.?, $\ldots$	$[ ]$	$1$
108300.bi1	108300j2	108300.bi	108300j	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.33	2B	$760$	$48$	$1$	$1$	$4$	$2$	$1$	$10506240$	$3.179802$	$519388144/164025$	$0.91550$	$5.32836$	$1$	$[0, -1, 0, -18233508, -20192470488]$	\(y^2=x^3-x^2-18233508x-20192470488\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 40.24.0.eg.1, 76.12.0.?, $\ldots$	$[ ]$	$1$
108300.cq1	108300bt2	108300.cq	108300bt	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.33	2B	$760$	$48$	$1$	$1.618630204$	$1$		$3$	$552960$	$1.707582$	$519388144/164025$	$0.91550$	$3.80441$	$1$	$[0, 1, 0, -50508, 2927988]$	\(y^2=x^3+x^2-50508x+2927988\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 40.24.0.eg.1, 76.12.0.?, $\ldots$	$[(243, 2250)]$	$1$
259920.dl1	259920dl2	259920.dl	259920dl	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{14} \cdot 5^{2} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.33	2B	$760$	$48$	$1$	$21.45692086$	$1$		$1$	$14008320$	$2.924389$	$519388144/164025$	$0.91550$	$4.70840$	$1$	$[0, 0, 0, -6564063, -4362886438]$	\(y^2=x^3-6564063x-4362886438\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 40.24.0.eg.1, 76.12.0.?, $\ldots$	$[(-6416461826/2443, 555492027911400/2443)]$	$1$
259920.dm1	259920dm2	259920.dm	259920dm	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{14} \cdot 5^{2} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.33	2B	$760$	$48$	$1$	$4.900419966$	$1$		$1$	$737280$	$1.452169$	$519388144/164025$	$0.91550$	$3.29146$	$1$	$[0, 0, 0, -18183, 636082]$	\(y^2=x^3-18183x+636082\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 40.24.0.eg.1, 76.12.0.?, $\ldots$	$[(3401/4, 161595/4)]$	$1$
324900.el1	324900el2	324900.el	324900el	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( 2^{8} \cdot 3^{14} \cdot 5^{8} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.33	2B	$760$	$48$	$1$	$1.948142206$	$1$		$7$	$4423680$	$2.256889$	$519388144/164025$	$0.91550$	$3.99447$	$1$	$[0, 0, 0, -454575, -79510250]$	\(y^2=x^3-454575x-79510250\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 40.24.0.eg.1, 76.12.0.?, $\ldots$	$[(-205, 2250)]$	$1$
324900.ep1	324900ep2	324900.ep	324900ep	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( 2^{8} \cdot 3^{14} \cdot 5^{8} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.33	2B	$760$	$48$	$1$	$25.91209210$	$1$		$1$	$84049920$	$3.729107$	$519388144/164025$	$0.91550$	$5.38650$	$1$	$[0, 0, 0, -164101575, 545360804750]$	\(y^2=x^3-164101575x+545360804750\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 40.24.0.eg.1, 76.12.0.?, $\ldots$	$[(-36469298035655/50734, 21089838711748012875/50734)]$	$1$
346560.g1	346560g2	346560.g	346560g	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{14} \cdot 3^{8} \cdot 5^{2} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.33	2B	$760$	$48$	$1$	$5.180810633$	$1$		$3$	$14008320$	$2.721657$	$519388144/164025$	$0.91550$	$4.41149$	$1$	$[0, -1, 0, -2917361, -1291734639]$	\(y^2=x^3-x^2-2917361x-1291734639\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 40.24.0.eg.1, 76.12.0.?, $\ldots$	$[(-819, 23400)]$	$1$
346560.cu1	346560cu2	346560.cu	346560cu	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{14} \cdot 3^{8} \cdot 5^{2} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.33	2B	$760$	$48$	$1$	$1$	$1$		$1$	$737280$	$1.249437$	$519388144/164025$	$0.91550$	$3.02651$	$1$	$[0, -1, 0, -8081, -185775]$	\(y^2=x^3-x^2-8081x-185775\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 40.24.0.eg.1, 76.12.0.?, $\ldots$	$[ ]$	$1$
346560.ft1	346560ft2	346560.ft	346560ft	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{14} \cdot 3^{8} \cdot 5^{2} \cdot 19^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.33	2B	$760$	$48$	$1$	$0.708134619$	$1$		$27$	$737280$	$1.249437$	$519388144/164025$	$0.91550$	$3.02651$	$1$	$[0, 1, 0, -8081, 185775]$	\(y^2=x^3+x^2-8081x+185775\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 40.24.0.eg.1, 76.12.0.?, $\ldots$	$[(7, 360), (79, 216)]$	$1$
346560.ij1	346560ij2	346560.ij	346560ij	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{14} \cdot 3^{8} \cdot 5^{2} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.33	2B	$760$	$48$	$1$	$5.476091229$	$1$		$3$	$14008320$	$2.721657$	$519388144/164025$	$0.91550$	$4.41149$	$1$	$[0, 1, 0, -2917361, 1291734639]$	\(y^2=x^3+x^2-2917361x+1291734639\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 40.24.0.eg.1, 76.12.0.?, $\ldots$	$[(-1871, 14280)]$	$1$
433200.l1	433200l2	433200.l	433200l	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 19^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.33	2B	$760$	$48$	$1$	$8.435959340$	$1$		$7$	$2211840$	$1.707582$	$519388144/164025$	$0.91550$	$3.39806$	$1$	$[0, -1, 0, -50508, -2927988]$	\(y^2=x^3-x^2-50508x-2927988\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 40.24.0.eg.1, 76.12.0.?, $\ldots$	$[(1557, 60750), (257, 1000)]$	$1$
433200.fw1	433200fw2	433200.fw	433200fw	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.33	2B	$760$	$48$	$1$	$5.995648736$	$1$		$3$	$42024960$	$3.179802$	$519388144/164025$	$0.91550$	$4.75924$	$1$	$[0, 1, 0, -18233508, 20192470488]$	\(y^2=x^3+x^2-18233508x+20192470488\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 40.24.0.eg.1, 76.12.0.?, $\ldots$	$[(3623, 41250)]$	$1$

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