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.l1	25050k1	25050.l	25050k	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{16} \cdot 3^{2} \cdot 5^{9} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1.894106813$	$1$		$2$	$117760$	$1.429001$	$129477420379/98500608$	$0.90870$	$3.95628$	$[1, 0, 1, 13174, 327548]$	\(y^2+xy+y=x^3+13174x+327548\)	1670.2.0.?	$[(93, 1489)]$
25050.m1	25050u1	25050.m	25050u	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{16} \cdot 3^{2} \cdot 5^{3} \cdot 167 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$0.172657120$	$1$		$28$	$23552$	$0.624281$	$129477420379/98500608$	$0.90870$	$3.00288$	$[1, 1, 1, 527, 2831]$	\(y^2+xy+y=x^3+x^2+527x+2831\)	1670.2.0.?	$[(-1, 48), (95, 912)]$
75150.c1	75150v1	75150.c	75150v	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \)	\( - 2^{16} \cdot 3^{8} \cdot 5^{3} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1.074223818$	$1$		$4$	$188416$	$1.173588$	$129477420379/98500608$	$0.90870$	$3.29616$	$[1, -1, 0, 4743, -71699]$	\(y^2+xy=x^3-x^2+4743x-71699\)	1670.2.0.?	$[(98, 1103)]$
75150.bu1	75150bv1	75150.bu	75150bv	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \)	\( - 2^{16} \cdot 3^{8} \cdot 5^{9} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1.056434350$	$1$		$4$	$942080$	$1.978306$	$129477420379/98500608$	$0.90870$	$4.15626$	$[1, -1, 1, 118570, -8843803]$	\(y^2+xy+y=x^3-x^2+118570x-8843803\)	1670.2.0.?	$[(169, 3915)]$
200400.c1	200400z1	200400.c	200400z	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{28} \cdot 3^{2} \cdot 5^{9} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1$	$1$		$0$	$2826240$	$2.122147$	$129477420379/98500608$	$0.90870$	$3.96373$	$[0, -1, 0, 210792, -20963088]$	\(y^2=x^3-x^2+210792x-20963088\)	1670.2.0.?	$[]$
200400.de1	200400i1	200400.de	200400i	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{28} \cdot 3^{2} \cdot 5^{3} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1$	$1$		$0$	$565248$	$1.317429$	$129477420379/98500608$	$0.90870$	$3.17273$	$[0, 1, 0, 8432, -164332]$	\(y^2=x^3+x^2+8432x-164332\)	1670.2.0.?	$[]$