Elliptic curve search results

Results (9 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
10005.j1	10005n1	10005.j	10005n	$1$	$1$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( 3 \cdot 5^{3} \cdot 23^{5} \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$20010$	$2$	$0$	$1$	$1$		$0$	$6720$	$0.787657$	$245973316796416/69995230125$	$0.93654$	$3.59753$	$[0, 1, 1, -1305, 12506]$	\(y^2+y=x^3+x^2-1305x+12506\)	20010.2.0.?	$[]$
30015.e1	30015c1	30015.e	30015c	$1$	$1$	\( 3^{2} \cdot 5 \cdot 23 \cdot 29 \)	\( 3^{7} \cdot 5^{3} \cdot 23^{5} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20010$	$2$	$0$	$0.922931826$	$1$		$4$	$53760$	$1.336964$	$245973316796416/69995230125$	$0.93654$	$3.85354$	$[0, 0, 1, -11748, -349416]$	\(y^2+y=x^3-11748x-349416\)	20010.2.0.?	$[(-34, 103)]$
50025.i1	50025f1	50025.i	50025f	$1$	$1$	\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \)	\( 3 \cdot 5^{9} \cdot 23^{5} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20010$	$2$	$0$	$0.326413468$	$1$		$4$	$161280$	$1.592375$	$245973316796416/69995230125$	$0.93654$	$3.95488$	$[0, -1, 1, -32633, 1628543]$	\(y^2+y=x^3-x^2-32633x+1628543\)	20010.2.0.?	$[(-173, 1437)]$
150075.r1	150075q1	150075.r	150075q	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 23 \cdot 29 \)	\( 3^{7} \cdot 5^{9} \cdot 23^{5} \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20010$	$2$	$0$	$1$	$1$		$0$	$1290240$	$2.141682$	$245973316796416/69995230125$	$0.93654$	$4.14338$	$[0, 0, 1, -293700, -43676969]$	\(y^2+y=x^3-293700x-43676969\)	20010.2.0.?	$[]$
160080.bc1	160080bd1	160080.bc	160080bd	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \cdot 29 \)	\( 2^{12} \cdot 3 \cdot 5^{3} \cdot 23^{5} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20010$	$2$	$0$	$1.106567731$	$1$		$2$	$483840$	$1.480804$	$245973316796416/69995230125$	$0.93654$	$3.45928$	$[0, -1, 0, -20885, -821283]$	\(y^2=x^3-x^2-20885x-821283\)	20010.2.0.?	$[(-68, 529)]$
230115.k1	230115k1	230115.k	230115k	$1$	$1$	\( 3 \cdot 5 \cdot 23^{2} \cdot 29 \)	\( 3 \cdot 5^{3} \cdot 23^{11} \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20010$	$2$	$0$	$1$	$1$		$0$	$3548160$	$2.355404$	$245973316796416/69995230125$	$0.93654$	$4.20766$	$[0, 1, 1, -690521, -157687264]$	\(y^2+y=x^3+x^2-690521x-157687264\)	20010.2.0.?	$[]$
290145.o1	290145o1	290145.o	290145o	$1$	$1$	\( 3 \cdot 5 \cdot 23 \cdot 29^{2} \)	\( 3 \cdot 5^{3} \cdot 23^{5} \cdot 29^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20010$	$2$	$0$	$1$	$1$		$0$	$5644800$	$2.471306$	$245973316796416/69995230125$	$0.93654$	$4.24069$	$[0, -1, 1, -1097785, 315991881]$	\(y^2+y=x^3-x^2-1097785x+315991881\)	20010.2.0.?	$[]$
480240.bb1	480240bb1	480240.bb	480240bb	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \)	\( 2^{12} \cdot 3^{7} \cdot 5^{3} \cdot 23^{5} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20010$	$2$	$0$	$4.557385528$	$1$		$2$	$3870720$	$2.030109$	$245973316796416/69995230125$	$0.93654$	$3.67264$	$[0, 0, 0, -187968, 22362608]$	\(y^2=x^3-187968x+22362608\)	20010.2.0.?	$[(121, 1179)]$
490245.z1	490245z1	490245.z	490245z	$1$	$1$	\( 3 \cdot 5 \cdot 7^{2} \cdot 23 \cdot 29 \)	\( 3 \cdot 5^{3} \cdot 7^{6} \cdot 23^{5} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20010$	$2$	$0$	$6.866600092$	$1$		$0$	$2540160$	$1.760612$	$245973316796416/69995230125$	$0.93654$	$3.42005$	$[0, -1, 1, -63961, -4417554]$	\(y^2+y=x^3-x^2-63961x-4417554\)	20010.2.0.?	$[(-651/2, 10287/2)]$