Elliptic curve search results

Results (10 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
29640.s1	29640g1	29640.s	29640g	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 19 \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{12} \cdot 13^{5} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$0.341441000$	$1$		$6$	$2442240$	$2.999012$	$-2961686524287311350789156096/139506818115234375$	$1.02428$	$6.41244$	$[0, 1, 0, -75389660, 251925710433]$	\(y^2=x^3+x^2-75389660x+251925710433\)	494.2.0.?	$[(4936, 9375)]$
59280.x1	59280h1	59280.x	59280h	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 19 \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{12} \cdot 13^{5} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$9.824297148$	$1$		$2$	$4884480$	$2.999012$	$-2961686524287311350789156096/139506818115234375$	$1.02428$	$6.00801$	$[0, -1, 0, -75389660, -251925710433]$	\(y^2=x^3-x^2-75389660x-251925710433\)	494.2.0.?	$[(237359, 115561395)]$
88920.k1	88920ba1	88920.k	88920ba	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 19 \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{12} \cdot 13^{5} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$48.56796539$	$1$		$0$	$19537920$	$3.548317$	$-2961686524287311350789156096/139506818115234375$	$1.02428$	$6.37268$	$[0, 0, 0, -678506943, -6802672688633]$	\(y^2=x^3-678506943x-6802672688633\)	494.2.0.?	$[(475775091582425047628501/3468183869, 221706734966281818760401262730109375/3468183869)]$
148200.u1	148200bd1	148200.u	148200bd	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 19 \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{18} \cdot 13^{5} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$2.006994557$	$1$		$2$	$58613760$	$3.803730$	$-2961686524287311350789156096/139506818115234375$	$1.02428$	$6.35669$	$[0, -1, 0, -1884741508, 31494483287137]$	\(y^2=x^3-x^2-1884741508x+31494483287137\)	494.2.0.?	$[(25012, 14625)]$
177840.bp1	177840dz1	177840.bp	177840dz	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 19 \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{12} \cdot 13^{5} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$17.10766746$	$1$		$0$	$39075840$	$3.548317$	$-2961686524287311350789156096/139506818115234375$	$1.02428$	$6.00728$	$[0, 0, 0, -678506943, 6802672688633]$	\(y^2=x^3-678506943x+6802672688633\)	494.2.0.?	$[(8186578264/989, 1265021648578125/989)]$
237120.o1	237120o1	237120.o	237120o	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 19 \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{12} \cdot 13^{5} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$1.458532332$	$1$		$2$	$39075840$	$3.345585$	$-2961686524287311350789156096/139506818115234375$	$1.02428$	$5.67107$	$[0, -1, 0, -301558641, 2015707242105]$	\(y^2=x^3-x^2-301558641x+2015707242105\)	494.2.0.?	$[(19248, 1828125)]$
237120.eu1	237120eu1	237120.eu	237120eu	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 19 \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{12} \cdot 13^{5} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$1$	$1$		$0$	$39075840$	$3.345585$	$-2961686524287311350789156096/139506818115234375$	$1.02428$	$5.67107$	$[0, 1, 0, -301558641, -2015707242105]$	\(y^2=x^3+x^2-301558641x-2015707242105\)	494.2.0.?	$[ ]$
296400.fd1	296400fd1	296400.fd	296400fd	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 19 \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{18} \cdot 13^{5} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$1$	$9$	$3$	$0$	$117227520$	$3.803730$	$-2961686524287311350789156096/139506818115234375$	$1.02428$	$6.00698$	$[0, 1, 0, -1884741508, -31494483287137]$	\(y^2=x^3+x^2-1884741508x-31494483287137\)	494.2.0.?	$[ ]$
385320.bl1	385320bl1	385320.bl	385320bl	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 19 \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{12} \cdot 13^{11} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$1$	$1$		$0$	$410296320$	$4.281487$	$-2961686524287311350789156096/139506818115234375$	$1.02428$	$6.33019$	$[0, 1, 0, -12740852596, 553531749231605]$	\(y^2=x^3+x^2-12740852596x+553531749231605\)	494.2.0.?	$[ ]$
444600.di1	444600di1	444600.di	444600di	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 19 \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{18} \cdot 13^{5} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$32.53291432$	$1$		$0$	$468910080$	$4.353035$	$-2961686524287311350789156096/139506818115234375$	$1.02428$	$6.32656$	$[0, 0, 0, -16962673575, -850334086079125]$	\(y^2=x^3-16962673575x-850334086079125\)	494.2.0.?	$[(19519207710038635/189307, 2640538069203856174537275/189307)]$

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