Elliptic curve search results

Results (6 matches)

  Download displayed columns for results to

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
50350.e1	50350a1	50350.e	50350a	$1$	$1$	\( 2 \cdot 5^{2} \cdot 19 \cdot 53 \)	\( 2^{10} \cdot 5^{10} \cdot 19 \cdot 53 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4028$	$2$	$0$	$4.255553421$	$1$		$2$	$100800$	$1.203455$	$3871353825/1031168$	$0.81879$	$3.52564$	$[1, -1, 0, -6992, -163584]$	\(y^2+xy=x^3-x^2-6992x-163584\)	4028.2.0.?	$[(-27, 84)]$
50350.l1	50350o1	50350.l	50350o	$1$	$1$	\( 2 \cdot 5^{2} \cdot 19 \cdot 53 \)	\( 2^{10} \cdot 5^{4} \cdot 19 \cdot 53 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4028$	$2$	$0$	$0.345497273$	$1$		$20$	$20160$	$0.398736$	$3871353825/1031168$	$0.81879$	$2.63372$	$[1, -1, 1, -280, -1253]$	\(y^2+xy+y=x^3-x^2-280x-1253\)	4028.2.0.?	$[(-11, 25), (-7, 21)]$
402800.j1	402800j1	402800.j	402800j	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 19 \cdot 53 \)	\( 2^{22} \cdot 5^{10} \cdot 19 \cdot 53 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4028$	$2$	$0$	$5.124365390$	$1$		$2$	$2419200$	$1.896603$	$3871353825/1031168$	$0.81879$	$3.60207$	$[0, 0, 0, -111875, 10581250]$	\(y^2=x^3-111875x+10581250\)	4028.2.0.?	$[(279, 1042)]$
402800.y1	402800y1	402800.y	402800y	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 19 \cdot 53 \)	\( 2^{22} \cdot 5^{4} \cdot 19 \cdot 53 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4028$	$2$	$0$	$2.428632903$	$1$		$2$	$483840$	$1.091883$	$3871353825/1031168$	$0.81879$	$2.85385$	$[0, 0, 0, -4475, 84650]$	\(y^2=x^3-4475x+84650\)	4028.2.0.?	$[(55, 70)]$
453150.i1	453150i1	453150.i	453150i	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \cdot 53 \)	\( 2^{10} \cdot 3^{6} \cdot 5^{4} \cdot 19 \cdot 53 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4028$	$2$	$0$	$1.382795951$	$1$		$2$	$645120$	$0.948042$	$3871353825/1031168$	$0.81879$	$2.69551$	$[1, -1, 0, -2517, 36341]$	\(y^2+xy=x^3-x^2-2517x+36341\)	4028.2.0.?	$[(58, 259)]$
453150.fs1	453150fs1	453150.fs	453150fs	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \cdot 53 \)	\( 2^{10} \cdot 3^{6} \cdot 5^{10} \cdot 19 \cdot 53 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4028$	$2$	$0$	$1$	$1$		$0$	$3225600$	$1.752762$	$3871353825/1031168$	$0.81879$	$3.43696$	$[1, -1, 1, -62930, 4479697]$	\(y^2+xy+y=x^3-x^2-62930x+4479697\)	4028.2.0.?	$[ ]$

  Download displayed columns for results to