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
12525.a1	12525d1	12525.a	12525d	$1$	$1$	\( 3 \cdot 5^{2} \cdot 167 \)	\( - 3^{10} \cdot 5^{3} \cdot 167 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$0.150472228$	$1$		$22$	$9280$	$0.602739$	$-2549455723781/9861183$	$0.90642$	$3.54003$	$[1, 0, 0, -1423, 20612]$	\(y^2+xy=x^3-1423x+20612\)	1670.2.0.?	$[(23, 2), (32, 74)]$
12525.d1	12525b1	12525.d	12525b	$1$	$1$	\( 3 \cdot 5^{2} \cdot 167 \)	\( - 3^{10} \cdot 5^{9} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1$	$1$		$0$	$46400$	$1.407457$	$-2549455723781/9861183$	$0.90642$	$4.56347$	$[1, 1, 0, -35575, 2576500]$	\(y^2+xy=x^3+x^2-35575x+2576500\)	1670.2.0.?	$[]$
37575.b1	37575d1	37575.b	37575d	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 167 \)	\( - 3^{16} \cdot 5^{9} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1$	$4$	$2$	$0$	$371200$	$1.956764$	$-2549455723781/9861183$	$0.90642$	$4.71328$	$[1, -1, 1, -320180, -69885678]$	\(y^2+xy+y=x^3-x^2-320180x-69885678\)	1670.2.0.?	$[]$
37575.d1	37575c1	37575.d	37575c	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 167 \)	\( - 3^{16} \cdot 5^{3} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$4.622132678$	$1$		$2$	$74240$	$1.152044$	$-2549455723781/9861183$	$0.90642$	$3.79658$	$[1, -1, 0, -12807, -556524]$	\(y^2+xy=x^3-x^2-12807x-556524\)	1670.2.0.?	$[(240, 3066)]$
200400.be1	200400bg1	200400.be	200400bg	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{12} \cdot 3^{10} \cdot 5^{3} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$2.139479794$	$1$		$4$	$593920$	$1.295887$	$-2549455723781/9861183$	$0.90642$	$3.41738$	$[0, -1, 0, -22768, -1319168]$	\(y^2=x^3-x^2-22768x-1319168\)	1670.2.0.?	$[(178, 486)]$
200400.bo1	200400a1	200400.bo	200400a	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{12} \cdot 3^{10} \cdot 5^{9} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1.266608260$	$1$		$4$	$2969600$	$2.100605$	$-2549455723781/9861183$	$0.90642$	$4.20839$	$[0, 1, 0, -569208, -166034412]$	\(y^2=x^3+x^2-569208x-166034412\)	1670.2.0.?	$[(1158, 27000)]$