Elliptic curve search results

Results (6 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
75810.bu1	75810bs1	75810.bu	75810bs	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{13} \cdot 3^{4} \cdot 5^{5} \cdot 7^{3} \cdot 19^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$280$	$2$	$0$	$1$	$1$		$0$	$6402240$	$2.923199$	$569376976319639/711244800000$	$0.97334$	$5.13335$	$[1, 0, 1, 4438487, -3873622612]$	\(y^2+xy+y=x^3+4438487x-3873622612\)	280.2.0.?	$[]$
75810.cp1	75810cp1	75810.cp	75810cp	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{13} \cdot 3^{4} \cdot 5^{5} \cdot 7^{3} \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$280$	$2$	$0$	$0.064581752$	$1$		$14$	$336960$	$1.450979$	$569376976319639/711244800000$	$0.97334$	$3.56102$	$[1, 1, 1, 12295, 569927]$	\(y^2+xy+y=x^3+x^2+12295x+569927\)	280.2.0.?	$[(327, 6136)]$
227430.v1	227430eo1	227430.v	227430eo	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{13} \cdot 3^{10} \cdot 5^{5} \cdot 7^{3} \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$280$	$2$	$0$	$1$	$1$		$0$	$2695680$	$2.000286$	$569376976319639/711244800000$	$0.97334$	$3.77826$	$[1, -1, 0, 110655, -15277379]$	\(y^2+xy=x^3-x^2+110655x-15277379\)	280.2.0.?	$[]$
227430.ef1	227430bf1	227430.ef	227430bf	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{13} \cdot 3^{10} \cdot 5^{5} \cdot 7^{3} \cdot 19^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$280$	$2$	$0$	$1$	$1$		$0$	$51217920$	$3.472504$	$569376976319639/711244800000$	$0.97334$	$5.21054$	$[1, -1, 1, 39946387, 104587810517]$	\(y^2+xy+y=x^3-x^2+39946387x+104587810517\)	280.2.0.?	$[]$
379050.dj1	379050dj1	379050.dj	379050dj	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{13} \cdot 3^{4} \cdot 5^{11} \cdot 7^{3} \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$280$	$2$	$0$	$2.958950053$	$1$		$2$	$8087040$	$2.255699$	$569376976319639/711244800000$	$0.97334$	$3.86661$	$[1, 0, 1, 307374, 70626148]$	\(y^2+xy+y=x^3+307374x+70626148\)	280.2.0.?	$[(1262, 49056)]$
379050.ga1	379050ga1	379050.ga	379050ga	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{13} \cdot 3^{4} \cdot 5^{11} \cdot 7^{3} \cdot 19^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$280$	$2$	$0$	$1$	$1$		$0$	$153653760$	$3.727917$	$569376976319639/711244800000$	$0.97334$	$5.24194$	$[1, 1, 1, 110962187, -484202826469]$	\(y^2+xy+y=x^3+x^2+110962187x-484202826469\)	280.2.0.?	$[]$