Elliptic curve search results

Results (14 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
14792.a1	14792f1	14792.a	14792f	$1$	$1$	\( 2^{3} \cdot 43^{2} \)	\( 2^{10} \cdot 43^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.4.0.1	2Cn	$344$	$12$	$0$	$1$	$1$		$0$	$144480$	$1.799181$	$4644$	$0.67733$	$4.73497$	$[0, 0, 0, -79507, -6837602]$	\(y^2=x^3-79507x-6837602\)	2.2.0.a.1, 8.4.0-2.a.1.1, 86.6.0.?, 344.12.0.?	$[]$
14792.g1	14792d1	14792.g	14792d	$1$	$1$	\( 2^{3} \cdot 43^{2} \)	\( 2^{10} \cdot 43^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	2.2.0.1	2Cn	$344$	$12$	$0$	$1$	$1$		$0$	$3360$	$-0.081419$	$4644$	$0.67733$	$2.38467$	$[0, 0, 0, -43, 86]$	\(y^2=x^3-43x+86\)	2.2.0.a.1, 86.6.0.?, 344.12.0.?	$[]$
29584.a1	29584g1	29584.a	29584g	$1$	$1$	\( 2^{4} \cdot 43^{2} \)	\( 2^{10} \cdot 43^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	2.2.0.1	2Cn	$344$	$12$	$0$	$0.695086203$	$1$		$14$	$6720$	$-0.081419$	$4644$	$0.67733$	$2.22411$	$[0, 0, 0, -43, -86]$	\(y^2=x^3-43x-86\)	2.2.0.a.1, 86.6.0.?, 344.12.0.?	$[(-3, 4), (-5, 2)]$
29584.n1	29584d1	29584.n	29584d	$1$	$1$	\( 2^{4} \cdot 43^{2} \)	\( 2^{10} \cdot 43^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.4.0.1	2Cn	$344$	$12$	$0$	$6.788612704$	$1$		$0$	$288960$	$1.799181$	$4644$	$0.67733$	$4.41617$	$[0, 0, 0, -79507, 6837602]$	\(y^2=x^3-79507x+6837602\)	2.2.0.a.1, 8.4.0-2.a.1.1, 86.6.0.?, 344.12.0.?	$[(193/3, 61228/3)]$
118336.a1	118336bc1	118336.a	118336bc	$1$	$1$	\( 2^{6} \cdot 43^{2} \)	\( 2^{16} \cdot 43^{8} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.4.0.2	2Cn	$172$	$12$	$0$	$1.997845914$	$1$		$8$	$2311680$	$2.145756$	$4644$	$0.67733$	$4.24810$	$[0, 0, 0, -318028, 54700816]$	\(y^2=x^3-318028x+54700816\)	2.2.0.a.1, 4.4.0-2.a.1.1, 86.6.0.?, 172.12.0.?	$[(0, 7396), (18490/3, 2425888/3)]$
118336.b1	118336r1	118336.b	118336r	$1$	$1$	\( 2^{6} \cdot 43^{2} \)	\( 2^{16} \cdot 43^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	2.2.0.1	2Cn	$172$	$12$	$0$	$0.985351064$	$1$		$10$	$53760$	$0.265155$	$4644$	$0.67733$	$2.31619$	$[0, 0, 0, -172, 688]$	\(y^2=x^3-172x+688\)	2.2.0.a.1, 86.6.0.?, 172.12.0.?	$[(-2, 32), (14, 32)]$
118336.bl1	118336i1	118336.bl	118336i	$1$	$1$	\( 2^{6} \cdot 43^{2} \)	\( 2^{16} \cdot 43^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.4.0.2	2Cn	$172$	$12$	$0$	$13.94820832$	$1$		$0$	$2311680$	$2.145756$	$4644$	$0.67733$	$4.24810$	$[0, 0, 0, -318028, -54700816]$	\(y^2=x^3-318028x-54700816\)	2.2.0.a.1, 4.4.0-2.a.1.1, 86.6.0.?, 172.12.0.?	$[(-3779450/117, 5561711936/117)]$
118336.bm1	118336bm1	118336.bm	118336bm	$1$	$1$	\( 2^{6} \cdot 43^{2} \)	\( 2^{16} \cdot 43^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	2.2.0.1	2Cn	$172$	$12$	$0$	$2.870733208$	$1$		$0$	$53760$	$0.265155$	$4644$	$0.67733$	$2.31619$	$[0, 0, 0, -172, -688]$	\(y^2=x^3-172x-688\)	2.2.0.a.1, 86.6.0.?, 172.12.0.?	$[(-62/3, 352/3)]$
133128.j1	133128r1	133128.j	133128r	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 43^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 43^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	2.2.0.1	2Cn	$1032$	$12$	$0$	$1$	$1$		$0$	$2022720$	$2.348488$	$4644$	$0.67733$	$4.41188$	$[0, 0, 0, -715563, 184615254]$	\(y^2=x^3-715563x+184615254\)	2.2.0.a.1, 24.4.0-2.a.1.1, 86.6.0.?, 1032.12.0.?	$[]$
133128.r1	133128g1	133128.r	133128g	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 43^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 43^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	2.2.0.1	2Cn	$1032$	$12$	$0$	$1$	$1$		$0$	$47040$	$0.467887$	$4644$	$0.67733$	$2.49926$	$[0, 0, 0, -387, -2322]$	\(y^2=x^3-387x-2322\)	2.2.0.a.1, 86.6.0.?, 1032.12.0.?	$[]$
266256.bd1	266256bd1	266256.bd	266256bd	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 43^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 43^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	2.2.0.1	2Cn	$1032$	$12$	$0$	$1$	$4$	$2$	$0$	$4045440$	$2.348488$	$4644$	$0.67733$	$4.16708$	$[0, 0, 0, -715563, -184615254]$	\(y^2=x^3-715563x-184615254\)	2.2.0.a.1, 24.4.0-2.a.1.1, 86.6.0.?, 1032.12.0.?	$[]$
266256.cd1	266256cd1	266256.cd	266256cd	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 43^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 43^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	2.2.0.1	2Cn	$1032$	$12$	$0$	$1.945357920$	$1$		$2$	$94080$	$0.467887$	$4644$	$0.67733$	$2.36058$	$[0, 0, 0, -387, 2322]$	\(y^2=x^3-387x+2322\)	2.2.0.a.1, 86.6.0.?, 1032.12.0.?	$[(1, 44)]$
369800.a1	369800a1	369800.a	369800a	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 43^{2} \)	\( 2^{10} \cdot 5^{6} \cdot 43^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	2.2.0.1	2Cn	$1720$	$12$	$0$	$2.237224347$	$1$		$2$	$470400$	$0.723300$	$4644$	$0.67733$	$2.53916$	$[0, 0, 0, -1075, 10750]$	\(y^2=x^3-1075x+10750\)	2.2.0.a.1, 86.6.0.?, 1720.12.0.?	$[(11, 16)]$
369800.w1	369800w1	369800.w	369800w	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 43^{2} \)	\( 2^{10} \cdot 5^{6} \cdot 43^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	2.2.0.1	2Cn	$1720$	$12$	$0$	$59.64233614$	$1$		$0$	$20227200$	$2.603901$	$4644$	$0.67733$	$4.29937$	$[0, 0, 0, -1987675, -854700250]$	\(y^2=x^3-1987675x-854700250\)	2.2.0.a.1, 40.4.0-2.a.1.1, 86.6.0.?, 1720.12.0.?	$[(-102896643222479620375573481/446145148923, 522963025226237082636762717265730925472/446145148923)]$