Elliptic curve search results

Results (10 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
60690.g1	60690k1	60690.g	60690k	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( - 2^{7} \cdot 3^{11} \cdot 5 \cdot 7 \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$840$	$2$	$0$	$1$	$1$		$0$	$144144$	$1.124336$	$-1338179037945481/793618560$	$1.04197$	$3.67707$	$[1, 1, 0, -15178, 713812]$	\(y^2+xy=x^3+x^2-15178x+713812\)	840.2.0.?	$[]$
60690.bd1	60690bd1	60690.bd	60690bd	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( - 2^{7} \cdot 3^{11} \cdot 5 \cdot 7 \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$840$	$2$	$0$	$1$	$1$		$0$	$2450448$	$2.540943$	$-1338179037945481/793618560$	$1.04197$	$5.22056$	$[1, 0, 1, -4386593, 3537664148]$	\(y^2+xy+y=x^3-4386593x+3537664148\)	840.2.0.?	$[]$
182070.by1	182070bg1	182070.by	182070bg	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17^{2} \)	\( - 2^{7} \cdot 3^{17} \cdot 5 \cdot 7 \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$840$	$2$	$0$	$1$	$1$		$0$	$19603584$	$3.090248$	$-1338179037945481/793618560$	$1.04197$	$5.29126$	$[1, -1, 1, -39479333, -95516932003]$	\(y^2+xy+y=x^3-x^2-39479333x-95516932003\)	840.2.0.?	$[]$
182070.ef1	182070p1	182070.ef	182070p	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17^{2} \)	\( - 2^{7} \cdot 3^{17} \cdot 5 \cdot 7 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$840$	$2$	$0$	$4.373552502$	$1$		$0$	$1153152$	$1.673641$	$-1338179037945481/793618560$	$1.04197$	$3.88777$	$[1, -1, 1, -136607, -19409529]$	\(y^2+xy+y=x^3-x^2-136607x-19409529\)	840.2.0.?	$[(10691/5, 34446/5)]$
303450.fl1	303450fl1	303450.fl	303450fl	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{7} \cdot 3^{11} \cdot 5^{7} \cdot 7 \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$840$	$2$	$0$	$1$	$1$		$0$	$58810752$	$3.345661$	$-1338179037945481/793618560$	$1.04197$	$5.31994$	$[1, 1, 1, -109664813, 442208018531]$	\(y^2+xy+y=x^3+x^2-109664813x+442208018531\)	840.2.0.?	$[]$
303450.fo1	303450fo1	303450.fo	303450fo	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{7} \cdot 3^{11} \cdot 5^{7} \cdot 7 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$840$	$2$	$0$	$0.092454620$	$1$		$12$	$3459456$	$1.929054$	$-1338179037945481/793618560$	$1.04197$	$3.97325$	$[1, 0, 0, -379463, 89985417]$	\(y^2+xy=x^3-379463x+89985417\)	840.2.0.?	$[(382, 709)]$
424830.ba1	424830ba1	424830.ba	424830ba	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{7} \cdot 3^{11} \cdot 5 \cdot 7^{7} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$840$	$2$	$0$	$20.23166741$	$1$		$0$	$117621504$	$3.513897$	$-1338179037945481/793618560$	$1.04197$	$5.33760$	$[1, 1, 0, -214943033, -1213633745883]$	\(y^2+xy=x^3+x^2-214943033x-1213633745883\)	840.2.0.?	$[(283366055941/1577, 149302926112687330/1577)]$
424830.dn1	424830dn1	424830.dn	424830dn	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{7} \cdot 3^{11} \cdot 5 \cdot 7^{7} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$840$	$2$	$0$	$1$	$1$		$0$	$6918912$	$2.097290$	$-1338179037945481/793618560$	$1.04197$	$4.02587$	$[1, 0, 1, -743748, -247068734]$	\(y^2+xy+y=x^3-743748x-247068734\)	840.2.0.?	$[]$
485520.de1	485520de1	485520.de	485520de	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( - 2^{19} \cdot 3^{11} \cdot 5 \cdot 7 \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$840$	$2$	$0$	$66.36421222$	$1$		$0$	$58810752$	$3.234089$	$-1338179037945481/793618560$	$1.04197$	$5.02671$	$[0, -1, 0, -70185480, -226410505488]$	\(y^2=x^3-x^2-70185480x-226410505488\)	840.2.0.?	$[(630463631403637159255467075316/7356326501515, 291741547386027651499264947017994653830217664/7356326501515)]$
485520.fn1	485520fn1	485520.fn	485520fn	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( - 2^{19} \cdot 3^{11} \cdot 5 \cdot 7 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$840$	$2$	$0$	$2.202570574$	$1$		$2$	$3459456$	$1.817482$	$-1338179037945481/793618560$	$1.04197$	$3.72836$	$[0, 1, 0, -242856, -46169676]$	\(y^2=x^3+x^2-242856x-46169676\)	840.2.0.?	$[(1710, 67392)]$