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
73689.b1	73689o1	73689.b	73689o	$1$	$1$	\( 3 \cdot 7 \cdot 11^{2} \cdot 29 \)	\( - 3^{6} \cdot 7^{3} \cdot 11^{10} \cdot 29^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$406$	$2$	$0$	$5.326390769$	$1$		$2$	$1710720$	$2.555206$	$-36883367257/6098396283$	$0.96711$	$4.81534$	$[1, 1, 1, -205279, -606246640]$	\(y^2+xy+y=x^3+x^2-205279x-606246640\)	406.2.0.?	$[(3344, 188367)]$
73689.r1	73689g1	73689.r	73689g	$1$	$1$	\( 3 \cdot 7 \cdot 11^{2} \cdot 29 \)	\( - 3^{6} \cdot 7^{3} \cdot 11^{4} \cdot 29^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$406$	$2$	$0$	$1.336077711$	$1$		$2$	$155520$	$1.356256$	$-36883367257/6098396283$	$0.96711$	$3.53163$	$[1, 1, 0, -1696, 454711]$	\(y^2+xy=x^3+x^2-1696x+454711\)	406.2.0.?	$[(130, 1501)]$
221067.j1	221067k1	221067.j	221067k	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \)	\( - 3^{12} \cdot 7^{3} \cdot 11^{4} \cdot 29^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$406$	$2$	$0$	$2.620296919$	$1$		$2$	$1244160$	$1.905563$	$-36883367257/6098396283$	$0.96711$	$3.75199$	$[1, -1, 1, -15269, -12292464]$	\(y^2+xy+y=x^3-x^2-15269x-12292464\)	406.2.0.?	$[(905, 26277)]$
221067.bi1	221067bf1	221067.bi	221067bf	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \)	\( - 3^{12} \cdot 7^{3} \cdot 11^{10} \cdot 29^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$406$	$2$	$0$	$3.736411102$	$1$		$0$	$13685760$	$3.104511$	$-36883367257/6098396283$	$0.96711$	$4.92110$	$[1, -1, 0, -1847511, 16366811764]$	\(y^2+xy=x^3-x^2-1847511x+16366811764\)	406.2.0.?	$[(14867/2, 1958293/2)]$