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
15030.a1	15030a1	15030.a	15030a	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{13} \cdot 3^{3} \cdot 5^{3} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$1$	$1$		$0$	$9984$	$0.541810$	$190804533093/171008000$	$0.92758$	$3.04335$	$[1, -1, 0, 360, 1856]$	\(y^2+xy=x^3-x^2+360x+1856\)	20040.2.0.?	$[]$
15030.o1	15030k1	15030.o	15030k	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{13} \cdot 3^{9} \cdot 5^{3} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$0.237272465$	$1$		$8$	$29952$	$1.091116$	$190804533093/171008000$	$0.92758$	$3.72871$	$[1, -1, 1, 3238, -53351]$	\(y^2+xy+y=x^3-x^2+3238x-53351\)	20040.2.0.?	$[(97, 1031)]$
75150.k1	75150d1	75150.k	75150d	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \)	\( - 2^{13} \cdot 3^{9} \cdot 5^{9} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$1$	$1$		$0$	$718848$	$1.895836$	$190804533093/171008000$	$0.92758$	$4.05430$	$[1, -1, 0, 80958, -6587884]$	\(y^2+xy=x^3-x^2+80958x-6587884\)	20040.2.0.?	$[]$
75150.bf1	75150z1	75150.bf	75150z	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \)	\( - 2^{13} \cdot 3^{3} \cdot 5^{9} \cdot 167 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$0.357664084$	$1$		$24$	$239616$	$1.346529$	$190804533093/171008000$	$0.92758$	$3.46719$	$[1, -1, 1, 8995, 240997]$	\(y^2+xy+y=x^3-x^2+8995x+240997\)	20040.2.0.?	$[(239, 3880), (-11, 380)]$
120240.o1	120240bi1	120240.o	120240bi	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{25} \cdot 3^{3} \cdot 5^{3} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$1$	$1$		$0$	$239616$	$1.234957$	$190804533093/171008000$	$0.92758$	$3.21342$	$[0, 0, 0, 5757, -124542]$	\(y^2=x^3+5757x-124542\)	20040.2.0.?	$[]$
120240.bv1	120240bs1	120240.bv	120240bs	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{25} \cdot 3^{9} \cdot 5^{3} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$1$	$1$		$0$	$718848$	$1.784264$	$190804533093/171008000$	$0.92758$	$3.77694$	$[0, 0, 0, 51813, 3362634]$	\(y^2=x^3+51813x+3362634\)	20040.2.0.?	$[]$
480960.bf1	480960bf1	480960.bf	480960bf	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{31} \cdot 3^{9} \cdot 5^{3} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$4.725409046$	$1$		$2$	$5750784$	$2.130836$	$190804533093/171008000$	$0.92758$	$3.69462$	$[0, 0, 0, 207252, 26901072]$	\(y^2=x^3+207252x+26901072\)	20040.2.0.?	$[(117, 7263)]$
480960.cd1	480960cd1	480960.cd	480960cd	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{31} \cdot 3^{9} \cdot 5^{3} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$4.066386664$	$1$		$0$	$5750784$	$2.130836$	$190804533093/171008000$	$0.92758$	$3.69462$	$[0, 0, 0, 207252, -26901072]$	\(y^2=x^3+207252x-26901072\)	20040.2.0.?	$[(15894/5, 2377728/5)]$
480960.eo1	480960eo1	480960.eo	480960eo	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{31} \cdot 3^{3} \cdot 5^{3} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$1.129826756$	$1$		$4$	$1916928$	$1.581532$	$190804533093/171008000$	$0.92758$	$3.19080$	$[0, 0, 0, 23028, -996336]$	\(y^2=x^3+23028x-996336\)	20040.2.0.?	$[(130, 2048)]$
480960.fc1	480960fc1	480960.fc	480960fc	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{31} \cdot 3^{3} \cdot 5^{3} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$3.048828196$	$1$		$2$	$1916928$	$1.581532$	$190804533093/171008000$	$0.92758$	$3.19080$	$[0, 0, 0, 23028, 996336]$	\(y^2=x^3+23028x+996336\)	20040.2.0.?	$[(72, 1740)]$