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
75810.ba1	75810bb1	75810.ba	75810bb	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{3} \cdot 3^{5} \cdot 5 \cdot 7 \cdot 19^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$16.40974548$	$1$		$0$	$638400$	$1.850679$	$-237176659/68040$	$0.85258$	$4.11062$	$[1, 1, 0, -88452, -12420216]$	\(y^2+xy=x^3+x^2-88452x-12420216\)	15960.2.0.?	$[(746763845/1417, 6612030807589/1417)]$
75810.dr1	75810ds1	75810.dr	75810ds	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{3} \cdot 3^{5} \cdot 5 \cdot 7 \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$0.291539928$	$1$		$4$	$33600$	$0.378460$	$-237176659/68040$	$0.85258$	$2.53829$	$[1, 0, 0, -245, 1785]$	\(y^2+xy=x^3-245x+1785\)	15960.2.0.?	$[(-8, 61)]$
227430.be1	227430eu1	227430.be	227430eu	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{3} \cdot 3^{11} \cdot 5 \cdot 7 \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$3.540397094$	$1$		$2$	$268800$	$0.927766$	$-237176659/68040$	$0.85258$	$2.84662$	$[1, -1, 0, -2205, -48195]$	\(y^2+xy=x^3-x^2-2205x-48195\)	15960.2.0.?	$[(423, 8424)]$
227430.en1	227430bk1	227430.en	227430bk	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{3} \cdot 3^{11} \cdot 5 \cdot 7 \cdot 19^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1$	$1$		$0$	$5107200$	$2.399986$	$-237176659/68040$	$0.85258$	$4.27890$	$[1, -1, 1, -796073, 334549761]$	\(y^2+xy+y=x^3-x^2-796073x+334549761\)	15960.2.0.?	$[]$
379050.h1	379050h1	379050.h	379050h	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{3} \cdot 3^{5} \cdot 5^{7} \cdot 7 \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1.211641144$	$1$		$4$	$806400$	$1.183178$	$-237176659/68040$	$0.85258$	$2.97202$	$[1, 1, 0, -6125, 223125]$	\(y^2+xy=x^3+x^2-6125x+223125\)	15960.2.0.?	$[(55, 210)]$
379050.ib1	379050ib1	379050.ib	379050ib	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{3} \cdot 3^{5} \cdot 5^{7} \cdot 7 \cdot 19^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$3.756238907$	$1$		$0$	$15321600$	$2.655399$	$-237176659/68040$	$0.85258$	$4.34735$	$[1, 0, 0, -2211313, -1548104383]$	\(y^2+xy=x^3-2211313x-1548104383\)	15960.2.0.?	$[(28277/4, 457871/4)]$