Elliptic curve search results

Results (12 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
5010.f1	5010f1	5010.f	5010f	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 167 \)	\( - 2^{4} \cdot 3^{6} \cdot 5 \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$1670$	$2$	$0$	$0.350671163$	$1$		$4$	$1344$	$0.022768$	$1524845951/9739440$	$0.86272$	$2.75278$	$[1, 1, 1, 24, 153]$	\(y^2+xy+y=x^3+x^2+24x+153\)	1670.2.0.?	$[(7, 23)]$
15030.h1	15030e1	15030.h	15030e	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{4} \cdot 3^{12} \cdot 5 \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1.670591521$	$1$		$4$	$10752$	$0.572075$	$1524845951/9739440$	$0.86272$	$3.12370$	$[1, -1, 0, 216, -3920]$	\(y^2+xy=x^3-x^2+216x-3920\)	1670.2.0.?	$[(20, 80)]$
25050.f1	25050f1	25050.f	25050f	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{7} \cdot 167 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$0.183351174$	$1$		$28$	$32256$	$0.827487$	$1524845951/9739440$	$0.86272$	$3.26876$	$[1, 0, 1, 599, 17948]$	\(y^2+xy+y=x^3+599x+17948\)	1670.2.0.?	$[(7, 146), (82, 746)]$
40080.x1	40080ba1	40080.x	40080ba	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 167 \)	\( - 2^{16} \cdot 3^{6} \cdot 5 \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$0.506675507$	$1$		$4$	$32256$	$0.715916$	$1524845951/9739440$	$0.86272$	$2.99748$	$[0, 1, 0, 384, -9036]$	\(y^2=x^3+x^2+384x-9036\)	1670.2.0.?	$[(42, 288)]$
75150.bd1	75150bn1	75150.bd	75150bn	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \)	\( - 2^{4} \cdot 3^{12} \cdot 5^{7} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1$	$1$		$0$	$258048$	$1.376793$	$1524845951/9739440$	$0.86272$	$3.53602$	$[1, -1, 1, 5395, -484603]$	\(y^2+xy+y=x^3-x^2+5395x-484603\)	1670.2.0.?	$[]$
120240.bk1	120240cp1	120240.bk	120240cp	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{16} \cdot 3^{12} \cdot 5 \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1.694714050$	$1$		$2$	$258048$	$1.265223$	$1524845951/9739440$	$0.86272$	$3.27948$	$[0, 0, 0, 3453, 247426]$	\(y^2=x^3+3453x+247426\)	1670.2.0.?	$[(65, 864)]$
160320.t1	160320x1	160320.t	160320x	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 167 \)	\( - 2^{22} \cdot 3^{6} \cdot 5 \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$2.542815989$	$1$		$2$	$258048$	$1.062489$	$1524845951/9739440$	$0.86272$	$2.99777$	$[0, -1, 0, 1535, -73823]$	\(y^2=x^3-x^2+1535x-73823\)	1670.2.0.?	$[(103, 1080)]$
160320.cz1	160320bu1	160320.cz	160320bu	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 167 \)	\( - 2^{22} \cdot 3^{6} \cdot 5 \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1$	$1$		$0$	$258048$	$1.062489$	$1524845951/9739440$	$0.86272$	$2.99777$	$[0, 1, 0, 1535, 73823]$	\(y^2=x^3+x^2+1535x+73823\)	1670.2.0.?	$[]$
200400.z1	200400bn1	200400.z	200400bn	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{16} \cdot 3^{6} \cdot 5^{7} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$0.963131987$	$1$		$4$	$774144$	$1.520634$	$1524845951/9739440$	$0.86272$	$3.39332$	$[0, -1, 0, 9592, -1148688]$	\(y^2=x^3-x^2+9592x-1148688\)	1670.2.0.?	$[(122, 1350)]$
245490.by1	245490by1	245490.by	245490by	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 167 \)	\( - 2^{4} \cdot 3^{6} \cdot 5 \cdot 7^{6} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$0.745197851$	$1$		$4$	$483840$	$0.995724$	$1524845951/9739440$	$0.86272$	$2.83030$	$[1, 0, 0, 1175, -49015]$	\(y^2+xy=x^3+1175x-49015\)	1670.2.0.?	$[(32, 131)]$
480960.bc1	480960bc1	480960.bc	480960bc	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{22} \cdot 3^{12} \cdot 5 \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1$	$1$		$0$	$2064384$	$1.611795$	$1524845951/9739440$	$0.86272$	$3.24987$	$[0, 0, 0, 13812, 1979408]$	\(y^2=x^3+13812x+1979408\)	1670.2.0.?	$[]$
480960.ch1	480960ch1	480960.ch	480960ch	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{22} \cdot 3^{12} \cdot 5 \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1$	$1$		$0$	$2064384$	$1.611795$	$1524845951/9739440$	$0.86272$	$3.24987$	$[0, 0, 0, 13812, -1979408]$	\(y^2=x^3+13812x-1979408\)	1670.2.0.?	$[]$