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
26198.a1	26198a1	26198.a	26198a	$1$	$1$	\( 2 \cdot 13099 \)	\( 2^{4} \cdot 13099 \)	$3$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$52396$	$2$	$0$	$0.698734427$	$1$		$34$	$12704$	$-0.283459$	$469097433/209584$	$0.73190$	$1.96259$	$[1, -1, 0, -16, 16]$	\(y^2+xy=x^3-x^2-16x+16\)	52396.2.0.?	$[(0, 4), (4, 0), (-4, 4)]$
209584.g1	209584f1	209584.g	209584f	$1$	$1$	\( 2^{4} \cdot 13099 \)	\( 2^{16} \cdot 13099 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52396$	$2$	$0$	$5.741453655$	$1$		$0$	$304896$	$0.409688$	$469097433/209584$	$0.73190$	$2.30836$	$[0, 0, 0, -259, -766]$	\(y^2=x^3-259x-766\)	52396.2.0.?	$[(238/3, 2816/3)]$
235782.k1	235782k1	235782.k	235782k	$1$	$1$	\( 2 \cdot 3^{2} \cdot 13099 \)	\( 2^{4} \cdot 3^{6} \cdot 13099 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52396$	$2$	$0$	$2.435957431$	$1$		$2$	$177856$	$0.265847$	$469097433/209584$	$0.73190$	$2.14685$	$[1, -1, 1, -146, -287]$	\(y^2+xy+y=x^3-x^2-146x-287\)	52396.2.0.?	$[(17, 35)]$