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
6699.e1	6699e1	6699.e	6699e	$1$	$1$	\( 3 \cdot 7 \cdot 11 \cdot 29 \)	\( - 3 \cdot 7^{5} \cdot 11^{3} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$13398$	$2$	$0$	$2.904216921$	$1$		$2$	$6000$	$0.689258$	$-1484391946907017/1946200179$	$0.90472$	$3.96563$	$[1, 1, 0, -2376, -45633]$	\(y^2+xy=x^3+x^2-2376x-45633\)	13398.2.0.?	$[(58, 97)]$
20097.a1	20097l1	20097.a	20097l	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11 \cdot 29 \)	\( - 3^{7} \cdot 7^{5} \cdot 11^{3} \cdot 29 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13398$	$2$	$0$	$0.084558559$	$1$		$28$	$48000$	$1.238564$	$-1484391946907017/1946200179$	$0.90472$	$4.19119$	$[1, -1, 1, -21389, 1210704]$	\(y^2+xy+y=x^3-x^2-21389x+1210704\)	13398.2.0.?	$[(98, 171), (161, 1305)]$
46893.n1	46893m1	46893.n	46893m	$1$	$1$	\( 3 \cdot 7^{2} \cdot 11 \cdot 29 \)	\( - 3 \cdot 7^{11} \cdot 11^{3} \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13398$	$2$	$0$	$1$	$1$		$0$	$288000$	$1.662212$	$-1484391946907017/1946200179$	$0.90472$	$4.33369$	$[1, 0, 1, -116450, 15302795]$	\(y^2+xy+y=x^3-116450x+15302795\)	13398.2.0.?	$[]$
73689.h1	73689e1	73689.h	73689e	$1$	$1$	\( 3 \cdot 7 \cdot 11^{2} \cdot 29 \)	\( - 3 \cdot 7^{5} \cdot 11^{9} \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13398$	$2$	$0$	$1$	$1$		$0$	$720000$	$1.888205$	$-1484391946907017/1946200179$	$0.90472$	$4.40089$	$[1, 1, 1, -287559, 59299824]$	\(y^2+xy+y=x^3+x^2-287559x+59299824\)	13398.2.0.?	$[]$
107184.cv1	107184cn1	107184.cv	107184cn	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \)	\( - 2^{12} \cdot 3 \cdot 7^{5} \cdot 11^{3} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13398$	$2$	$0$	$1.207046070$	$1$		$2$	$384000$	$1.382404$	$-1484391946907017/1946200179$	$0.90472$	$3.73447$	$[0, 1, 0, -38024, 2844468]$	\(y^2=x^3+x^2-38024x+2844468\)	13398.2.0.?	$[(126, 264)]$
140679.p1	140679k1	140679.p	140679k	$1$	$1$	\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \)	\( - 3^{7} \cdot 7^{11} \cdot 11^{3} \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13398$	$2$	$0$	$1$	$1$		$0$	$2304000$	$2.211517$	$-1484391946907017/1946200179$	$0.90472$	$4.48812$	$[1, -1, 1, -1048046, -413175472]$	\(y^2+xy+y=x^3-x^2-1048046x-413175472\)	13398.2.0.?	$[]$
167475.l1	167475l1	167475.l	167475l	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 29 \)	\( - 3 \cdot 5^{6} \cdot 7^{5} \cdot 11^{3} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13398$	$2$	$0$	$31.41162269$	$1$		$0$	$648000$	$1.493977$	$-1484391946907017/1946200179$	$0.90472$	$3.70722$	$[1, 0, 0, -59413, -5585308]$	\(y^2+xy=x^3-59413x-5585308\)	13398.2.0.?	$[(37848183872731/206301, 219094715095206643505/206301)]$
194271.j1	194271f1	194271.j	194271f	$1$	$1$	\( 3 \cdot 7 \cdot 11 \cdot 29^{2} \)	\( - 3 \cdot 7^{5} \cdot 11^{3} \cdot 29^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13398$	$2$	$0$	$1$	$1$		$0$	$5040000$	$2.372906$	$-1484391946907017/1946200179$	$0.90472$	$4.52819$	$[1, 0, 0, -1998654, -1088961153]$	\(y^2+xy=x^3-1998654x-1088961153\)	13398.2.0.?	$[]$
221067.x1	221067x1	221067.x	221067x	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \)	\( - 3^{7} \cdot 7^{5} \cdot 11^{9} \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13398$	$2$	$0$	$1$	$4$	$2$	$0$	$5760000$	$2.437511$	$-1484391946907017/1946200179$	$0.90472$	$4.54364$	$[1, -1, 0, -2588031, -1603683284]$	\(y^2+xy=x^3-x^2-2588031x-1603683284\)	13398.2.0.?	$[]$
321552.m1	321552m1	321552.m	321552m	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 29 \)	\( - 2^{12} \cdot 3^{7} \cdot 7^{5} \cdot 11^{3} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13398$	$2$	$0$	$5.027613905$	$1$		$2$	$3072000$	$1.931711$	$-1484391946907017/1946200179$	$0.90472$	$3.93075$	$[0, 0, 0, -342219, -77142854]$	\(y^2=x^3-342219x-77142854\)	13398.2.0.?	$[(1493, 52344)]$
428736.g1	428736g1	428736.g	428736g	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \)	\( - 2^{18} \cdot 3 \cdot 7^{5} \cdot 11^{3} \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13398$	$2$	$0$	$1$	$1$		$0$	$3072000$	$1.728977$	$-1484391946907017/1946200179$	$0.90472$	$3.65596$	$[0, -1, 0, -152097, 22907841]$	\(y^2=x^3-x^2-152097x+22907841\)	13398.2.0.?	$[]$
428736.ex1	428736ex1	428736.ex	428736ex	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \)	\( - 2^{18} \cdot 3 \cdot 7^{5} \cdot 11^{3} \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13398$	$2$	$0$	$1$	$1$		$0$	$3072000$	$1.728977$	$-1484391946907017/1946200179$	$0.90472$	$3.65596$	$[0, 1, 0, -152097, -22907841]$	\(y^2=x^3+x^2-152097x-22907841\)	13398.2.0.?	$[]$