Elliptic curve search results

Results (4 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
112710.by1	112710bu1	112710.by	112710bu	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{3} \cdot 13^{5} \cdot 17^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$5.225281046$	$1$		$0$	$3110400$	$2.243221$	$-2541499591834369/43848960714000$	$1.01873$	$4.31825$	$[1, 1, 1, -124276, 93553349]$	\(y^2+xy+y=x^3+x^2-124276x+93553349\)	260.2.0.?	$[(1079/2, 70359/2)]$
112710.cx1	112710db1	112710.cx	112710db	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{3} \cdot 13^{5} \cdot 17^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$1$	$1$		$0$	$52876800$	$3.659828$	$-2541499591834369/43848960714000$	$1.01873$	$5.77960$	$[1, 0, 0, -35915770, 459879014900]$	\(y^2+xy=x^3-35915770x+459879014900\)	260.2.0.?	$[]$
338130.a1	338130a1	338130.a	338130a	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{16} \cdot 5^{3} \cdot 13^{5} \cdot 17^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$1$	$1$		$0$	$423014400$	$4.209129$	$-2541499591834369/43848960714000$	$1.01873$	$5.79862$	$[1, -1, 0, -323241930, -12416733402300]$	\(y^2+xy=x^3-x^2-323241930x-12416733402300\)	260.2.0.?	$[]$
338130.cf1	338130cf1	338130.cf	338130cf	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{16} \cdot 5^{3} \cdot 13^{5} \cdot 17^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$1$	$1$		$0$	$24883200$	$2.792526$	$-2541499591834369/43848960714000$	$1.01873$	$4.46337$	$[1, -1, 0, -1118484, -2527058912]$	\(y^2+xy=x^3-x^2-1118484x-2527058912\)	260.2.0.?	$[]$