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.bn1	60690bo1	60690.bn	60690bo	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{19} \cdot 5^{5} \cdot 7^{5} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$6.368315542$	$1$		$2$	$2188800$	$2.498016$	$418557259677940327871/244176605948362500$	$1.06972$	$4.82586$	$[1, 1, 1, 1030330, -35743993]$	\(y^2+xy+y=x^3+x^2+1030330x-35743993\)	420.2.0.?	$[(2417, 127561)]$
60690.by1	60690bx1	60690.by	60690bx	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{19} \cdot 5^{5} \cdot 7^{5} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$0.709337604$	$1$		$2$	$37209600$	$3.914623$	$418557259677940327871/244176605948362500$	$1.06972$	$6.36935$	$[1, 0, 0, 297765364, -177694594284]$	\(y^2+xy=x^3+297765364x-177694594284\)	420.2.0.?	$[(87880, 26501866)]$
182070.o1	182070dl1	182070.o	182070dl	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{25} \cdot 5^{5} \cdot 7^{5} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$1$	$1$		$0$	$17510400$	$3.047321$	$418557259677940327871/244176605948362500$	$1.06972$	$4.93236$	$[1, -1, 0, 9272970, 974360776]$	\(y^2+xy=x^3-x^2+9272970x+974360776\)	420.2.0.?	$[]$
182070.bn1	182070cn1	182070.bn	182070cn	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{25} \cdot 5^{5} \cdot 7^{5} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$1.471901799$	$1$		$4$	$297676800$	$4.463928$	$418557259677940327871/244176605948362500$	$1.06972$	$6.33585$	$[1, -1, 0, 2679888276, 4797754045668]$	\(y^2+xy=x^3-x^2+2679888276x+4797754045668\)	420.2.0.?	$[(11922, 6194184)]$
303450.l1	303450l1	303450.l	303450l	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{19} \cdot 5^{11} \cdot 7^{5} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$1$	$25$	$5$	$0$	$893030400$	$4.719345$	$418557259677940327871/244176605948362500$	$1.06972$	$6.32226$	$[1, 1, 0, 7444134100, -22211824285500]$	\(y^2+xy=x^3+x^2+7444134100x-22211824285500\)	420.2.0.?	$[]$
303450.cv1	303450cv1	303450.cv	303450cv	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{19} \cdot 5^{11} \cdot 7^{5} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$0.218211185$	$1$		$6$	$52531200$	$3.302734$	$418557259677940327871/244176605948362500$	$1.06972$	$4.97556$	$[1, 0, 1, 25758249, -4519515602]$	\(y^2+xy+y=x^3+25758249x-4519515602\)	420.2.0.?	$[(4112, 411381)]$
424830.fz1	424830fz1	424830.fz	424830fz	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{19} \cdot 5^{5} \cdot 7^{11} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$69.26656287$	$1$		$0$	$1786060800$	$4.887581$	$418557259677940327871/244176605948362500$	$1.06972$	$6.31389$	$[1, 1, 1, 14590502835, 60963836342247]$	\(y^2+xy+y=x^3+x^2+14590502835x+60963836342247\)	420.2.0.?	$[(22663661553651541062253174918503/15338649981313, 175152234510725274828243240075365642772892627842/15338649981313)]$
424830.gx1	424830gx1	424830.gx	424830gx	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{19} \cdot 5^{5} \cdot 7^{11} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$1$	$1$		$0$	$105062400$	$3.470970$	$418557259677940327871/244176605948362500$	$1.06972$	$5.00216$	$[1, 0, 0, 50486169, 12411648045]$	\(y^2+xy=x^3+50486169x+12411648045\)	420.2.0.?	$[]$
485520.l1	485520l1	485520.l	485520l	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( - 2^{14} \cdot 3^{19} \cdot 5^{5} \cdot 7^{5} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$38.19079675$	$1$		$0$	$893030400$	$4.607773$	$418557259677940327871/244176605948362500$	$1.06972$	$5.99305$	$[0, -1, 0, 4764245824, 11372454034176]$	\(y^2=x^3-x^2+4764245824x+11372454034176\)	420.2.0.?	$[(1781060387906650/1042679, 4964743644791528427037486/1042679)]$
485520.ii1	485520ii1	485520.ii	485520ii	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( - 2^{14} \cdot 3^{19} \cdot 5^{5} \cdot 7^{5} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$0.240411151$	$1$		$10$	$52531200$	$3.191162$	$418557259677940327871/244176605948362500$	$1.06972$	$4.69470$	$[0, 1, 0, 16485280, 2320586100]$	\(y^2=x^3+x^2+16485280x+2320586100\)	420.2.0.?	$[(9940, 1071630)]$