Elliptic curve search results

Results (5 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
10003.a1	10003a1	10003.a	10003a	$1$	$1$	\( 7 \cdot 1429 \)	\( - 7^{5} \cdot 1429 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$20006$	$2$	$0$	$1$	$1$		$0$	$1960$	$0.101478$	$15531437375/24017203$	$0.79342$	$2.60353$	$[1, 1, 1, 52, 208]$	\(y^2+xy+y=x^3+x^2+52x+208\)	20006.2.0.?	$[]$
70021.a1	70021a1	70021.a	70021a	$1$	$1$	\( 7^{2} \cdot 1429 \)	\( - 7^{11} \cdot 1429 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20006$	$2$	$0$	$1.863890179$	$1$		$2$	$94080$	$1.074432$	$15531437375/24017203$	$0.79342$	$3.19594$	$[1, 0, 0, 2547, -63764]$	\(y^2+xy=x^3+2547x-63764\)	20006.2.0.?	$[(487, 10561)]$
90027.b1	90027a1	90027.b	90027a	$1$	$1$	\( 3^{2} \cdot 7 \cdot 1429 \)	\( - 3^{6} \cdot 7^{5} \cdot 1429 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20006$	$2$	$0$	$3.798415512$	$1$		$0$	$47040$	$0.650784$	$15531437375/24017203$	$0.79342$	$2.67990$	$[1, -1, 0, 468, -5153]$	\(y^2+xy=x^3-x^2+468x-5153\)	20006.2.0.?	$[(71/2, 667/2)]$
160048.a1	160048a1	160048.a	160048a	$1$	$1$	\( 2^{4} \cdot 7 \cdot 1429 \)	\( - 2^{12} \cdot 7^{5} \cdot 1429 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20006$	$2$	$0$	$0.747721094$	$1$		$14$	$125440$	$0.794625$	$15531437375/24017203$	$0.79342$	$2.69527$	$[0, 1, 0, 832, -11660]$	\(y^2=x^3+x^2+832x-11660\)	20006.2.0.?	$[(82, 784), (26, 168)]$
250075.c1	250075c1	250075.c	250075c	$1$	$1$	\( 5^{2} \cdot 7 \cdot 1429 \)	\( - 5^{6} \cdot 7^{5} \cdot 1429 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20006$	$2$	$0$	$1.059921768$	$1$		$2$	$282240$	$0.906197$	$15531437375/24017203$	$0.79342$	$2.70621$	$[1, 0, 1, 1299, 23423]$	\(y^2+xy+y=x^3+1299x+23423\)	20006.2.0.?	$[(37, 331)]$