Elliptic curve search results

Results (3 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
25451.c1	25451a1	25451.c	25451a	$1$	$1$	\( 31 \cdot 821 \)	\( - 31^{2} \cdot 821 \)	$3$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$3284$	$2$	$0$	$0.850609947$	$1$		$24$	$4160$	$-0.104242$	$-17434421857/788981$	$0.74804$	$2.33200$	$[1, 1, 1, -54, 136]$	\(y^2+xy+y=x^3+x^2-54x+136\)	3284.2.0.?	$[(-2, 16), (4, 0), (2, 5)]$
229059.d1	229059d1	229059.d	229059d	$1$	$1$	\( 3^{2} \cdot 31 \cdot 821 \)	\( - 3^{6} \cdot 31^{2} \cdot 821 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3284$	$2$	$0$	$2.166269904$	$4$	$2$	$2$	$124800$	$0.445064$	$-17434421857/788981$	$0.74804$	$2.45093$	$[1, -1, 0, -486, -4163]$	\(y^2+xy=x^3-x^2-486x-4163\)	3284.2.0.?	$[(36, 137)]$
407216.i1	407216i1	407216.i	407216i	$1$	$1$	\( 2^{4} \cdot 31 \cdot 821 \)	\( - 2^{12} \cdot 31^{2} \cdot 821 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3284$	$2$	$0$	$5.664422433$	$1$		$2$	$266240$	$0.588905$	$-17434421857/788981$	$0.74804$	$2.47538$	$[0, 1, 0, -864, -10444]$	\(y^2=x^3+x^2-864x-10444\)	3284.2.0.?	$[(271, 4442)]$