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.g1	25050l1	25050.g	25050l	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{7} \cdot 3 \cdot 5^{3} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$1$	$1$		$0$	$6720$	$0.037212$	$-196122941/64128$	$0.87866$	$2.40610$	$[1, 0, 1, -61, -232]$	\(y^2+xy+y=x^3-61x-232\)	20040.2.0.?	$[]$
25050.r1	25050q1	25050.r	25050q	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{7} \cdot 3 \cdot 5^{9} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$1.465901376$	$1$		$2$	$33600$	$0.841930$	$-196122941/64128$	$0.87866$	$3.35950$	$[1, 1, 1, -1513, -28969]$	\(y^2+xy+y=x^3+x^2-1513x-28969\)	20040.2.0.?	$[(135, 1432)]$
75150.s1	75150w1	75150.s	75150w	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \)	\( - 2^{7} \cdot 3^{7} \cdot 5^{9} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$1$	$1$		$0$	$268800$	$1.391237$	$-196122941/64128$	$0.87866$	$3.61788$	$[1, -1, 0, -13617, 768541]$	\(y^2+xy=x^3-x^2-13617x+768541\)	20040.2.0.?	$[]$
75150.be1	75150bo1	75150.be	75150bo	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \)	\( - 2^{7} \cdot 3^{7} \cdot 5^{3} \cdot 167 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$0.207941837$	$1$		$20$	$53760$	$0.586518$	$-196122941/64128$	$0.87866$	$2.75777$	$[1, -1, 1, -545, 6257]$	\(y^2+xy+y=x^3-x^2-545x+6257\)	20040.2.0.?	$[(-21, 100), (15, 28)]$
200400.r1	200400bd1	200400.r	200400bd	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{19} \cdot 3 \cdot 5^{3} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$0.662412170$	$1$		$4$	$161280$	$0.730359$	$-196122941/64128$	$0.87866$	$2.67759$	$[0, -1, 0, -968, 14832]$	\(y^2=x^3-x^2-968x+14832\)	20040.2.0.?	$[(52, 320)]$
200400.cd1	200400c1	200400.cd	200400c	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{19} \cdot 3 \cdot 5^{9} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$4.714316450$	$1$		$0$	$806400$	$1.535078$	$-196122941/64128$	$0.87866$	$3.46860$	$[0, 1, 0, -24208, 1805588]$	\(y^2=x^3+x^2-24208x+1805588\)	20040.2.0.?	$[(-1628/3, 14750/3)]$