Elliptic curve search results

Results (10 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
13792.b1	13792b1	13792.b	13792b	$1$	$1$	\( 2^{5} \cdot 431 \)	\( - 2^{6} \cdot 431 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$862$	$2$	$0$	$1.138495352$	$1$		$2$	$3008$	$-0.468682$	$-1728/431$	$0.77227$	$1.85505$	$[0, 0, 0, -1, -8]$	\(y^2=x^3-x-8\)	862.2.0.?	$[(3, 4)]$
13792.h1	13792c1	13792.h	13792c	$1$	$1$	\( 2^{5} \cdot 431 \)	\( - 2^{6} \cdot 431 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$862$	$2$	$0$	$1$	$1$		$0$	$3008$	$-0.468682$	$-1728/431$	$0.77227$	$1.85505$	$[0, 0, 0, -1, 8]$	\(y^2=x^3-x+8\)	862.2.0.?	$[]$
27584.a1	27584bd1	27584.a	27584bd	$1$	$1$	\( 2^{6} \cdot 431 \)	\( - 2^{12} \cdot 431 \)	$3$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$862$	$2$	$0$	$0.625203696$	$1$		$38$	$12032$	$-0.122108$	$-1728/431$	$0.77227$	$2.13603$	$[0, 0, 0, -4, 64]$	\(y^2=x^3-4x+64\)	862.2.0.?	$[(2, 8), (-2, 8), (6, 16)]$
27584.ba1	27584v1	27584.ba	27584v	$1$	$1$	\( 2^{6} \cdot 431 \)	\( - 2^{12} \cdot 431 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$862$	$2$	$0$	$1$	$1$		$0$	$12032$	$-0.122108$	$-1728/431$	$0.77227$	$2.13603$	$[0, 0, 0, -4, -64]$	\(y^2=x^3-4x-64\)	862.2.0.?	$[]$
124128.a1	124128m1	124128.a	124128m	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 431 \)	\( - 2^{6} \cdot 3^{6} \cdot 431 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$862$	$2$	$0$	$2.080519392$	$1$		$2$	$42112$	$0.080624$	$-1728/431$	$0.77227$	$2.06953$	$[0, 0, 0, -9, -216]$	\(y^2=x^3-9x-216\)	862.2.0.?	$[(7, 8)]$
124128.d1	124128r1	124128.d	124128r	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 431 \)	\( - 2^{6} \cdot 3^{6} \cdot 431 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$862$	$2$	$0$	$1$	$1$		$0$	$42112$	$0.080624$	$-1728/431$	$0.77227$	$2.06953$	$[0, 0, 0, -9, 216]$	\(y^2=x^3-9x+216\)	862.2.0.?	$[]$
248256.cs1	248256cs1	248256.cs	248256cs	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 431 \)	\( - 2^{12} \cdot 3^{6} \cdot 431 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$862$	$2$	$0$	$3.077346060$	$1$		$2$	$168448$	$0.427198$	$-1728/431$	$0.77227$	$2.28885$	$[0, 0, 0, -36, -1728]$	\(y^2=x^3-36x-1728\)	862.2.0.?	$[(13, 1)]$
248256.cx1	248256cx1	248256.cx	248256cx	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 431 \)	\( - 2^{12} \cdot 3^{6} \cdot 431 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$862$	$2$	$0$	$1$	$1$		$0$	$168448$	$0.427198$	$-1728/431$	$0.77227$	$2.28885$	$[0, 0, 0, -36, 1728]$	\(y^2=x^3-36x+1728\)	862.2.0.?	$[]$
344800.b1	344800b1	344800.b	344800b	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 431 \)	\( - 2^{6} \cdot 5^{6} \cdot 431 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$862$	$2$	$0$	$2.423588948$	$1$		$2$	$324864$	$0.336037$	$-1728/431$	$0.77227$	$2.14409$	$[0, 0, 0, -25, 1000]$	\(y^2=x^3-25x+1000\)	862.2.0.?	$[(-1, 32)]$
344800.k1	344800k1	344800.k	344800k	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 431 \)	\( - 2^{6} \cdot 5^{6} \cdot 431 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$862$	$2$	$0$	$1$	$1$		$0$	$324864$	$0.336037$	$-1728/431$	$0.77227$	$2.14409$	$[0, 0, 0, -25, -1000]$	\(y^2=x^3-25x-1000\)	862.2.0.?	$[]$