Elliptic curve search results

Results (6 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
25050.a1	25050e1	25050.a	25050e	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{4} \cdot 3^{2} \cdot 5^{9} \cdot 167^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$0.515749823$	$1$		$4$	$234240$	$1.581264$	$-24616775429/670674672$	$0.93950$	$4.17475$	$[1, 1, 0, -7575, -1762875]$	\(y^2+xy=x^3+x^2-7575x-1762875\)	1670.2.0.?	$[(485, 10195)]$
25050.ba1	25050z1	25050.ba	25050z	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{4} \cdot 3^{2} \cdot 5^{3} \cdot 167^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1$	$1$		$0$	$46848$	$0.776546$	$-24616775429/670674672$	$0.93950$	$3.22135$	$[1, 0, 0, -303, -14103]$	\(y^2+xy=x^3-303x-14103\)	1670.2.0.?	$[]$
75150.w1	75150x1	75150.w	75150x	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \)	\( - 2^{4} \cdot 3^{8} \cdot 5^{3} \cdot 167^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$0.685292480$	$1$		$12$	$374784$	$1.325851$	$-24616775429/670674672$	$0.93950$	$3.49325$	$[1, -1, 0, -2727, 380781]$	\(y^2+xy=x^3-x^2-2727x+380781\)	1670.2.0.?	$[(210, 2901), (-329/2, 1999/2)]$
75150.z1	75150bp1	75150.z	75150bp	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \)	\( - 2^{4} \cdot 3^{8} \cdot 5^{9} \cdot 167^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1$	$1$		$0$	$1873920$	$2.130569$	$-24616775429/670674672$	$0.93950$	$4.35335$	$[1, -1, 1, -68180, 47529447]$	\(y^2+xy+y=x^3-x^2-68180x+47529447\)	1670.2.0.?	$[]$
200400.b1	200400y1	200400.b	200400y	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{16} \cdot 3^{2} \cdot 5^{3} \cdot 167^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$0.417781869$	$1$		$14$	$1124352$	$1.469692$	$-24616775429/670674672$	$0.93950$	$3.35398$	$[0, -1, 0, -4848, 902592]$	\(y^2=x^3-x^2-4848x+902592\)	1670.2.0.?	$[(-54, 1002), (-152/3, 26720/3)]$
200400.dd1	200400h1	200400.dd	200400h	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{16} \cdot 3^{2} \cdot 5^{9} \cdot 167^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1$	$1$		$0$	$5621760$	$2.274410$	$-24616775429/670674672$	$0.93950$	$4.14498$	$[0, 1, 0, -121208, 112581588]$	\(y^2=x^3+x^2-121208x+112581588\)	1670.2.0.?	$[]$