Elliptic curve search results

Results (8 matches)

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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
286650.f1	286650f1	286650.f	286650f	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{5} \cdot 3^{9} \cdot 5^{3} \cdot 7^{10} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$34.17426140$	$1$		$0$	$35804160$	$2.948212$	$-8527053024063/70304$	$1.17895$	$5.08906$	$[1, -1, 0, -37700952, -89090981344]$	\(y^2+xy=x^3-x^2-37700952x-89090981344\)	1560.2.0.?	$[(7500792854596501/400633, 642196433014485763099276/400633)]$
286650.g1	286650g1	286650.g	286650g	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{5} \cdot 3^{9} \cdot 5^{3} \cdot 7^{4} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$0.636434952$	$1$		$4$	$5114880$	$1.975258$	$-8527053024063/70304$	$1.17895$	$4.15993$	$[1, -1, 0, -769407, 259960301]$	\(y^2+xy=x^3-x^2-769407x+259960301\)	1560.2.0.?	$[(529, 613)]$
286650.hx1	286650hx1	286650.hx	286650hx	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{5} \cdot 3^{3} \cdot 5^{9} \cdot 7^{4} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$1$	$1$		$0$	$8524800$	$2.230671$	$-8527053024063/70304$	$1.17895$	$4.40384$	$[1, -1, 0, -2137242, -1202095084]$	\(y^2+xy=x^3-x^2-2137242x-1202095084\)	1560.2.0.?	$[ ]$
286650.io1	286650io1	286650.io	286650io	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{5} \cdot 3^{3} \cdot 5^{9} \cdot 7^{10} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$1$	$1$		$0$	$59673600$	$3.203625$	$-8527053024063/70304$	$1.17895$	$5.33297$	$[1, -1, 0, -104724867, 412528063541]$	\(y^2+xy=x^3-x^2-104724867x+412528063541\)	1560.2.0.?	$[ ]$
286650.it1	286650it1	286650.it	286650it	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{5} \cdot 3^{9} \cdot 5^{9} \cdot 7^{4} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$0.980918300$	$1$		$4$	$25574400$	$2.779976$	$-8527053024063/70304$	$1.17895$	$4.92840$	$[1, -1, 1, -19235180, 32475802447]$	\(y^2+xy+y=x^3-x^2-19235180x+32475802447\)	1560.2.0.?	$[(1969, 46265)]$
286650.iu1	286650iu1	286650.iu	286650iu	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{5} \cdot 3^{9} \cdot 5^{9} \cdot 7^{10} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$11.85977781$	$1$		$0$	$179020800$	$3.752930$	$-8527053024063/70304$	$1.17895$	$5.85753$	$[1, -1, 1, -942523805, -11137315191803]$	\(y^2+xy+y=x^3-x^2-942523805x-11137315191803\)	1560.2.0.?	$[(73986541/17, 630963276070/17)]$
286650.rh1	286650rh1	286650.rh	286650rh	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{5} \cdot 3^{3} \cdot 5^{3} \cdot 7^{10} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$1$	$1$		$0$	$11934720$	$2.398907$	$-8527053024063/70304$	$1.17895$	$4.56450$	$[1, -1, 1, -4188995, 3301062307]$	\(y^2+xy+y=x^3-x^2-4188995x+3301062307\)	1560.2.0.?	$[ ]$
286650.rw1	286650rw1	286650.rw	286650rw	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{5} \cdot 3^{3} \cdot 5^{3} \cdot 7^{4} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$1$	$1$		$0$	$1704960$	$1.425951$	$-8527053024063/70304$	$1.17895$	$3.63537$	$[1, -1, 1, -85490, -9599663]$	\(y^2+xy+y=x^3-x^2-85490x-9599663\)	1560.2.0.?	$[ ]$

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