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
12502.b1	12502b1	12502.b	12502b	$1$	$1$	\( 2 \cdot 7 \cdot 19 \cdot 47 \)	\( - 2^{4} \cdot 7 \cdot 19 \cdot 47 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$12502$	$2$	$0$	$1.266098061$	$1$		$2$	$1536$	$-0.345373$	$-95443993/100016$	$0.73623$	$2.05727$	$[1, 0, 1, -10, -20]$	\(y^2+xy+y=x^3-10x-20\)	12502.2.0.?	$[(5, 5)]$
87514.e1	87514f1	87514.e	87514f	$1$	$1$	\( 2 \cdot 7^{2} \cdot 19 \cdot 47 \)	\( - 2^{4} \cdot 7^{7} \cdot 19 \cdot 47 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12502$	$2$	$0$	$0.827513400$	$1$		$4$	$73728$	$0.627583$	$-95443993/100016$	$0.73623$	$2.73148$	$[1, 1, 0, -466, 6308]$	\(y^2+xy=x^3+x^2-466x+6308\)	12502.2.0.?	$[(-8, 102)]$
100016.d1	100016n1	100016.d	100016n	$1$	$1$	\( 2^{4} \cdot 7 \cdot 19 \cdot 47 \)	\( - 2^{16} \cdot 7 \cdot 19 \cdot 47 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12502$	$2$	$0$	$0.745134110$	$1$		$4$	$36864$	$0.347775$	$-95443993/100016$	$0.73623$	$2.40815$	$[0, -1, 0, -152, 1264]$	\(y^2=x^3-x^2-152x+1264\)	12502.2.0.?	$[(12, 32)]$
112518.bl1	112518bg1	112518.bl	112518bg	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 19 \cdot 47 \)	\( - 2^{4} \cdot 3^{6} \cdot 7 \cdot 19 \cdot 47 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12502$	$2$	$0$	$1$	$1$		$0$	$46080$	$0.203933$	$-95443993/100016$	$0.73623$	$2.23536$	$[1, -1, 1, -86, 533]$	\(y^2+xy+y=x^3-x^2-86x+533\)	12502.2.0.?	$[]$
237538.p1	237538p1	237538.p	237538p	$1$	$1$	\( 2 \cdot 7 \cdot 19^{2} \cdot 47 \)	\( - 2^{4} \cdot 7 \cdot 19^{7} \cdot 47 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12502$	$2$	$0$	$0.448939495$	$1$		$4$	$552960$	$1.126846$	$-95443993/100016$	$0.73623$	$2.99514$	$[1, 1, 1, -3437, 128595]$	\(y^2+xy+y=x^3+x^2-3437x+128595\)	12502.2.0.?	$[(-59, 390)]$
312550.be1	312550be1	312550.be	312550be	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7 \cdot 19 \cdot 47 \)	\( - 2^{4} \cdot 5^{6} \cdot 7 \cdot 19 \cdot 47 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12502$	$2$	$0$	$1$	$1$		$0$	$165888$	$0.459346$	$-95443993/100016$	$0.73623$	$2.29710$	$[1, 1, 1, -238, -2469]$	\(y^2+xy+y=x^3+x^2-238x-2469\)	12502.2.0.?	$[]$
400064.p1	400064p1	400064.p	400064p	$1$	$1$	\( 2^{6} \cdot 7 \cdot 19 \cdot 47 \)	\( - 2^{22} \cdot 7 \cdot 19 \cdot 47 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12502$	$2$	$0$	$1$	$1$		$0$	$294912$	$0.694348$	$-95443993/100016$	$0.73623$	$2.47176$	$[0, -1, 0, -609, -9503]$	\(y^2=x^3-x^2-609x-9503\)	12502.2.0.?	$[]$
400064.bl1	400064bl1	400064.bl	400064bl	$1$	$1$	\( 2^{6} \cdot 7 \cdot 19 \cdot 47 \)	\( - 2^{22} \cdot 7 \cdot 19 \cdot 47 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12502$	$2$	$0$	$1$	$1$		$0$	$294912$	$0.694348$	$-95443993/100016$	$0.73623$	$2.47176$	$[0, 1, 0, -609, 9503]$	\(y^2=x^3+x^2-609x+9503\)	12502.2.0.?	$[]$