Elliptic curve search results

Results (11 matches)

  Download displayed columns for results to

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
13260.i1	13260l1	13260.i	13260l	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{3} \cdot 13^{4} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$0.127191466$	$1$		$10$	$14400$	$0.861525$	$88184857856/14748186375$	$0.93050$	$3.54366$	$[0, 1, 0, 234, 23409]$	\(y^2=x^3+x^2+234x+23409\)	510.2.0.?	$[(-18, 117)]$
39780.u1	39780z1	39780.u	39780z	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{11} \cdot 5^{3} \cdot 13^{4} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$0.949389772$	$1$		$2$	$115200$	$1.410830$	$88184857856/14748186375$	$0.93050$	$3.79846$	$[0, 0, 0, 2103, -629939]$	\(y^2=x^3+2103x-629939\)	510.2.0.?	$[(92, 585)]$
53040.i1	53040bo1	53040.i	53040bo	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{3} \cdot 13^{4} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1$	$1$		$0$	$57600$	$0.861525$	$88184857856/14748186375$	$0.93050$	$3.09209$	$[0, -1, 0, 234, -23409]$	\(y^2=x^3-x^2+234x-23409\)	510.2.0.?	$[ ]$
66300.l1	66300a1	66300.l	66300a	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{9} \cdot 13^{4} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1$	$1$		$0$	$345600$	$1.666243$	$88184857856/14748186375$	$0.93050$	$3.89975$	$[0, -1, 0, 5842, 2914437]$	\(y^2=x^3-x^2+5842x+2914437\)	510.2.0.?	$[ ]$
159120.dk1	159120n1	159120.dk	159120n	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{11} \cdot 5^{3} \cdot 13^{4} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$0.415799263$	$1$		$2$	$460800$	$1.410830$	$88184857856/14748186375$	$0.93050$	$3.35881$	$[0, 0, 0, 2103, 629939]$	\(y^2=x^3+2103x+629939\)	510.2.0.?	$[(298, 5265)]$
172380.bg1	172380g1	172380.bg	172380g	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{3} \cdot 13^{10} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1.456816967$	$1$		$2$	$2419200$	$2.143997$	$88184857856/14748186375$	$0.93050$	$4.06619$	$[0, 1, 0, 39490, 51271533]$	\(y^2=x^3+x^2+39490x+51271533\)	510.2.0.?	$[(121, 7605)]$
198900.bb1	198900bm1	198900.bb	198900bm	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{11} \cdot 5^{9} \cdot 13^{4} \cdot 17 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1.102749602$	$1$		$16$	$2764800$	$2.215549$	$88184857856/14748186375$	$0.93050$	$4.08887$	$[0, 0, 0, 52575, -78742375]$	\(y^2=x^3+52575x-78742375\)	510.2.0.?	$[(535, 10125), (785, 21125)]$
212160.de1	212160gr1	212160.de	212160gr	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{5} \cdot 5^{3} \cdot 13^{4} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1.979414135$	$1$		$2$	$460800$	$1.208097$	$88184857856/14748186375$	$0.93050$	$3.08168$	$[0, -1, 0, 935, 186337]$	\(y^2=x^3-x^2+935x+186337\)	510.2.0.?	$[(-48, 169)]$
212160.gn1	212160m1	212160.gn	212160m	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{5} \cdot 5^{3} \cdot 13^{4} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1.089767020$	$1$		$2$	$460800$	$1.208097$	$88184857856/14748186375$	$0.93050$	$3.08168$	$[0, 1, 0, 935, -186337]$	\(y^2=x^3+x^2+935x-186337\)	510.2.0.?	$[(386, 7605)]$
225420.o1	225420bb1	225420.o	225420bb	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{3} \cdot 13^{4} \cdot 17^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$0.468393384$	$1$		$18$	$4147200$	$2.278130$	$88184857856/14748186375$	$0.93050$	$4.10828$	$[0, -1, 0, 67530, 114603057]$	\(y^2=x^3-x^2+67530x+114603057\)	510.2.0.?	$[(584, 18785), (142, 11271)]$
265200.ft1	265200ft1	265200.ft	265200ft	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{9} \cdot 13^{4} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$2.281788584$	$1$		$2$	$1382400$	$1.666243$	$88184857856/14748186375$	$0.93050$	$3.46685$	$[0, 1, 0, 5842, -2914437]$	\(y^2=x^3+x^2+5842x-2914437\)	510.2.0.?	$[(543, 12675)]$

  Download displayed columns for results to