Elliptic curve search results

Results (12 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
13167.a1	13167c1	13167.a	13167c	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11 \cdot 19 \)	\( - 3^{3} \cdot 7^{4} \cdot 11 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$0.131779377$	$1$		$8$	$4992$	$0.052851$	$242970624/501809$	$0.77463$	$2.48251$	$[0, 0, 1, 39, 150]$	\(y^2+y=x^3+39x+150\)	1254.2.0.?	$[(-1, 10)]$
13167.o1	13167a1	13167.o	13167a	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11 \cdot 19 \)	\( - 3^{9} \cdot 7^{4} \cdot 11 \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$1$	$1$		$0$	$14976$	$0.602157$	$242970624/501809$	$0.77463$	$3.17743$	$[0, 0, 1, 351, -4057]$	\(y^2+y=x^3+351x-4057\)	1254.2.0.?	$[]$
92169.e1	92169d1	92169.e	92169d	$1$	$1$	\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 19 \)	\( - 3^{3} \cdot 7^{10} \cdot 11 \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$1$	$1$		$0$	$239616$	$1.025806$	$242970624/501809$	$0.77463$	$3.08127$	$[0, 0, 1, 1911, -51536]$	\(y^2+y=x^3+1911x-51536\)	1254.2.0.?	$[]$
92169.bj1	92169b1	92169.bj	92169b	$1$	$1$	\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 19 \)	\( - 3^{9} \cdot 7^{10} \cdot 11 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$8.685045135$	$1$		$0$	$718848$	$1.575111$	$242970624/501809$	$0.77463$	$3.65790$	$[0, 0, 1, 17199, 1391465]$	\(y^2+y=x^3+17199x+1391465\)	1254.2.0.?	$[(10185/34, 48813601/34)]$
144837.e1	144837e1	144837.e	144837e	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 19 \)	\( - 3^{9} \cdot 7^{4} \cdot 11^{7} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$2.012034024$	$1$		$4$	$1797120$	$1.801105$	$242970624/501809$	$0.77463$	$3.74699$	$[0, 0, 1, 42471, 5399534]$	\(y^2+y=x^3+42471x+5399534\)	1254.2.0.?	$[(-96, 661)]$
144837.bp1	144837br1	144837.bp	144837br	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 19 \)	\( - 3^{3} \cdot 7^{4} \cdot 11^{7} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$2.343655569$	$1$		$0$	$599040$	$1.251799$	$242970624/501809$	$0.77463$	$3.19229$	$[0, 0, 1, 4719, -199983]$	\(y^2+y=x^3+4719x-199983\)	1254.2.0.?	$[(561/4, 5897/4)]$
210672.x1	210672cn1	210672.x	210672cn	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 19 \)	\( - 2^{12} \cdot 3^{3} \cdot 7^{4} \cdot 11 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$1.275034955$	$1$		$2$	$199680$	$0.745998$	$242970624/501809$	$0.77463$	$2.59956$	$[0, 0, 0, 624, -9616]$	\(y^2=x^3+624x-9616\)	1254.2.0.?	$[(25, 147)]$
210672.ec1	210672df1	210672.ec	210672df	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 19 \)	\( - 2^{12} \cdot 3^{9} \cdot 7^{4} \cdot 11 \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$1$	$1$		$0$	$599040$	$1.295303$	$242970624/501809$	$0.77463$	$3.13730$	$[0, 0, 0, 5616, 259632]$	\(y^2=x^3+5616x+259632\)	1254.2.0.?	$[]$
250173.d1	250173d1	250173.d	250173d	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11 \cdot 19^{2} \)	\( - 3^{9} \cdot 7^{4} \cdot 11 \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$1.744615403$	$1$		$0$	$5391360$	$2.074375$	$242970624/501809$	$0.77463$	$3.84605$	$[0, 0, 1, 126711, 27825248]$	\(y^2+y=x^3+126711x+27825248\)	1254.2.0.?	$[(969/2, 68225/2)]$
250173.bn1	250173bn1	250173.bn	250173bn	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11 \cdot 19^{2} \)	\( - 3^{3} \cdot 7^{4} \cdot 11 \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$1$	$1$		$0$	$1797120$	$1.525070$	$242970624/501809$	$0.77463$	$3.31574$	$[0, 0, 1, 14079, -1030565]$	\(y^2+y=x^3+14079x-1030565\)	1254.2.0.?	$[]$
329175.d1	329175d1	329175.d	329175d	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 19 \)	\( - 3^{9} \cdot 5^{6} \cdot 7^{4} \cdot 11 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$1.345339731$	$1$		$4$	$1916928$	$1.406876$	$242970624/501809$	$0.77463$	$3.13248$	$[0, 0, 1, 8775, -507094]$	\(y^2+y=x^3+8775x-507094\)	1254.2.0.?	$[(645, 16537)]$
329175.df1	329175df1	329175.df	329175df	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 19 \)	\( - 3^{3} \cdot 5^{6} \cdot 7^{4} \cdot 11 \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$1$	$1$		$0$	$638976$	$0.857570$	$242970624/501809$	$0.77463$	$2.61362$	$[0, 0, 1, 975, 18781]$	\(y^2+y=x^3+975x+18781\)	1254.2.0.?	$[]$