Elliptic curve search results

Results (8 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
405600.v1	405600v1	405600.v	405600v	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{9} \cdot 3^{6} \cdot 5^{9} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$4.597094297$	$1$		$2$	$22164480$	$2.834843$	$-150061288/729$	$1.00590$	$4.65246$	$[0, -1, 0, -10344208, 12862509412]$	\(y^2=x^3-x^2-10344208x+12862509412\)	40.2.0.a.1	$[(2792, 75750)]$
405600.z1	405600z1	405600.z	405600z	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{9} \cdot 3^{6} \cdot 5^{3} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$6.084746357$	$1$		$0$	$4432896$	$2.030125$	$-150061288/729$	$1.00590$	$3.90464$	$[0, -1, 0, -413768, -102734568]$	\(y^2=x^3-x^2-413768x-102734568\)	40.2.0.a.1	$[(111017/11, 22632480/11)]$
405600.dc1	405600dc1	405600.dc	405600dc	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{9} \cdot 3^{6} \cdot 5^{3} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$1$	$1$		$0$	$340992$	$0.747650$	$-150061288/729$	$1.00590$	$2.71286$	$[0, -1, 0, -2448, -46008]$	\(y^2=x^3-x^2-2448x-46008\)	40.2.0.a.1	$[]$
405600.de1	405600de1	405600.de	405600de	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{9} \cdot 3^{6} \cdot 5^{9} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$1$	$1$		$0$	$1704960$	$1.552370$	$-150061288/729$	$1.00590$	$3.46067$	$[0, -1, 0, -61208, 5873412]$	\(y^2=x^3-x^2-61208x+5873412\)	40.2.0.a.1	$[]$
405600.eb1	405600eb1	405600.eb	405600eb	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{9} \cdot 3^{6} \cdot 5^{9} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$1$	$1$		$0$	$1704960$	$1.552370$	$-150061288/729$	$1.00590$	$3.46067$	$[0, 1, 0, -61208, -5873412]$	\(y^2=x^3+x^2-61208x-5873412\)	40.2.0.a.1	$[]$
405600.ed1	405600ed1	405600.ed	405600ed	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{9} \cdot 3^{6} \cdot 5^{3} \cdot 13^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$0.582897337$	$1$		$14$	$340992$	$0.747650$	$-150061288/729$	$1.00590$	$2.71286$	$[0, 1, 0, -2448, 46008]$	\(y^2=x^3+x^2-2448x+46008\)	40.2.0.a.1	$[(18, 90), (117/2, 135/2)]$
405600.gf1	405600gf1	405600.gf	405600gf	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{9} \cdot 3^{6} \cdot 5^{3} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$0.402654992$	$1$		$6$	$4432896$	$2.030125$	$-150061288/729$	$1.00590$	$3.90464$	$[0, 1, 0, -413768, 102734568]$	\(y^2=x^3+x^2-413768x+102734568\)	40.2.0.a.1	$[(394, 1014)]$
405600.gm1	405600gm1	405600.gm	405600gm	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{9} \cdot 3^{6} \cdot 5^{9} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$27.44295043$	$1$		$0$	$22164480$	$2.834843$	$-150061288/729$	$1.00590$	$4.65246$	$[0, 1, 0, -10344208, -12862509412]$	\(y^2=x^3+x^2-10344208x-12862509412\)	40.2.0.a.1	$[(22900344623333/11374, 109570099210327593375/11374)]$