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
16830.m1	16830b1	16830.m	16830b	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{9} \cdot 3^{3} \cdot 5^{7} \cdot 11^{5} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$4.794749633$	$1$		$2$	$100800$	$1.650841$	$22253722294800933/109514680000000$	$0.98179$	$4.41403$	$[1, -1, 0, 17580, 2453200]$	\(y^2+xy=x^3-x^2+17580x+2453200\)	22440.2.0.?	$[(-67, 1019)]$
16830.cr1	16830bt1	16830.cr	16830bt	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{9} \cdot 3^{9} \cdot 5^{7} \cdot 11^{5} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$0.100272248$	$1$		$12$	$302400$	$2.200146$	$22253722294800933/109514680000000$	$0.98179$	$5.09142$	$[1, -1, 1, 158218, -66394619]$	\(y^2+xy+y=x^3-x^2+158218x-66394619\)	22440.2.0.?	$[(391, 7229)]$
84150.bg1	84150k1	84150.bg	84150k	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{9} \cdot 3^{9} \cdot 5^{13} \cdot 11^{5} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$1$		$0$	$7257600$	$3.004868$	$22253722294800933/109514680000000$	$0.98179$	$5.22037$	$[1, -1, 0, 3955458, -8295371884]$	\(y^2+xy=x^3-x^2+3955458x-8295371884\)	22440.2.0.?	$[]$
84150.fa1	84150dx1	84150.fa	84150dx	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{9} \cdot 3^{3} \cdot 5^{13} \cdot 11^{5} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$0.957960848$	$1$		$4$	$2419200$	$2.455559$	$22253722294800933/109514680000000$	$0.98179$	$4.63911$	$[1, -1, 1, 439495, 307089497]$	\(y^2+xy+y=x^3-x^2+439495x+307089497\)	22440.2.0.?	$[(99, 18700)]$
134640.w1	134640dr1	134640.w	134640dr	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{21} \cdot 3^{3} \cdot 5^{7} \cdot 11^{5} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1.123779464$	$1$		$4$	$2419200$	$2.343987$	$22253722294800933/109514680000000$	$0.98179$	$4.34113$	$[0, 0, 0, 281277, -157286078]$	\(y^2=x^3+281277x-157286078\)	22440.2.0.?	$[(609, 15488)]$
134640.ds1	134640cx1	134640.ds	134640cx	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{21} \cdot 3^{9} \cdot 5^{7} \cdot 11^{5} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$1$		$0$	$7257600$	$2.893295$	$22253722294800933/109514680000000$	$0.98179$	$4.89926$	$[0, 0, 0, 2531493, 4246724106]$	\(y^2=x^3+2531493x+4246724106\)	22440.2.0.?	$[]$
185130.cb1	185130ex1	185130.cb	185130ex	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{9} \cdot 3^{9} \cdot 5^{7} \cdot 11^{11} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$3.455736861$	$1$		$2$	$36288000$	$3.399094$	$22253722294800933/109514680000000$	$0.98179$	$5.27105$	$[1, -1, 0, 19144416, 88313804288]$	\(y^2+xy=x^3-x^2+19144416x+88313804288\)	22440.2.0.?	$[(157, 302119)]$
185130.dn1	185130cg1	185130.dn	185130cg	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{9} \cdot 3^{3} \cdot 5^{7} \cdot 11^{11} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$1$		$0$	$12096000$	$2.849789$	$22253722294800933/109514680000000$	$0.98179$	$4.72758$	$[1, -1, 1, 2127157, -3271590693]$	\(y^2+xy+y=x^3-x^2+2127157x-3271590693\)	22440.2.0.?	$[]$
286110.ce1	286110ce1	286110.ce	286110ce	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{9} \cdot 3^{3} \cdot 5^{7} \cdot 11^{5} \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$0.244949376$	$1$		$6$	$29030400$	$3.067448$	$22253722294800933/109514680000000$	$0.98179$	$4.77166$	$[1, -1, 0, 5080566, 12072893940]$	\(y^2+xy=x^3-x^2+5080566x+12072893940\)	22440.2.0.?	$[(11811, 1305432)]$
286110.ea1	286110ea1	286110.ea	286110ea	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{9} \cdot 3^{9} \cdot 5^{7} \cdot 11^{5} \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$1$		$0$	$87091200$	$3.616753$	$22253722294800933/109514680000000$	$0.98179$	$5.29631$	$[1, -1, 1, 45725092, -326013861473]$	\(y^2+xy+y=x^3-x^2+45725092x-326013861473\)	22440.2.0.?	$[]$