Elliptic curve search results

Results (8 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
33813.b2	33813d1	33813.b	33813d	$2$	$2$	\( 3^{2} \cdot 13 \cdot 17^{2} \)	\( - 3^{9} \cdot 13 \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$12.37874542$	$1$		$1$	$208896$	$1.841722$	$-27/13$	$0.83674$	$4.35411$	$[1, -1, 1, -8291, -8383958]$	\(y^2+xy+y=x^3-x^2-8291x-8383958\)	2.3.0.a.1, 52.6.0.e.1, 204.6.0.?, 1326.6.0.?, 2652.12.0.?	$[(161882/23, 49270819/23)]$
33813.d2	33813c1	33813.d	33813c	$2$	$2$	\( 3^{2} \cdot 13 \cdot 17^{2} \)	\( - 3^{9} \cdot 13 \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$6.285165712$	$1$		$3$	$12288$	$0.425116$	$-27/13$	$0.83674$	$2.72405$	$[1, -1, 1, -29, -1700]$	\(y^2+xy+y=x^3-x^2-29x-1700\)	2.3.0.a.1, 52.6.0.e.1, 204.6.0.?, 1326.6.0.?, 2652.12.0.?	$[(11488, 1225523)]$
33813.g2	33813b1	33813.g	33813b	$2$	$2$	\( 3^{2} \cdot 13 \cdot 17^{2} \)	\( - 3^{3} \cdot 13 \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1.846913676$	$1$		$3$	$4096$	$-0.124191$	$-27/13$	$0.83674$	$2.09197$	$[1, -1, 0, -3, 64]$	\(y^2+xy=x^3-x^2-3x+64\)	2.3.0.a.1, 52.6.0.e.1, 204.6.0.?, 1326.6.0.?, 2652.12.0.?	$[(0, 8)]$
33813.n2	33813a1	33813.n	33813a	$2$	$2$	\( 3^{2} \cdot 13 \cdot 17^{2} \)	\( - 3^{3} \cdot 13 \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$15.85247312$	$1$		$1$	$69632$	$1.292416$	$-27/13$	$0.83674$	$3.72204$	$[1, -1, 0, -921, 310824]$	\(y^2+xy=x^3-x^2-921x+310824\)	2.3.0.a.1, 52.6.0.e.1, 204.6.0.?, 1326.6.0.?, 2652.12.0.?	$[(7543996/55, 20508690054/55)]$
439569.n2	439569n1	439569.n	439569n	$2$	$2$	\( 3^{2} \cdot 13^{2} \cdot 17^{2} \)	\( - 3^{3} \cdot 13^{7} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$7.269531559$	$1$		$3$	$11698176$	$2.574890$	$-27/13$	$0.83674$	$4.17171$	$[1, -1, 1, -155681, 682413320]$	\(y^2+xy+y=x^3-x^2-155681x+682413320\)	2.3.0.a.1, 52.6.0.e.1, 204.6.0.?, 1326.6.0.?, 2652.12.0.?	$[(-314, 26619)]$
439569.bb2	439569bb1	439569.bb	439569bb	$2$	$2$	\( 3^{2} \cdot 13^{2} \cdot 17^{2} \)	\( - 3^{3} \cdot 13^{7} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$6.610116785$	$1$		$1$	$688128$	$1.158283$	$-27/13$	$0.83674$	$2.86342$	$[1, -1, 1, -539, 139026]$	\(y^2+xy+y=x^3-x^2-539x+139026\)	2.3.0.a.1, 52.6.0.e.1, 204.6.0.?, 1326.6.0.?, 2652.12.0.?	$[(130/3, 9679/3)]$
439569.bv2	439569bv1	439569.bv	439569bv	$2$	$2$	\( 3^{2} \cdot 13^{2} \cdot 17^{2} \)	\( - 3^{9} \cdot 13^{7} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$11.39836558$	$1$		$1$	$2064384$	$1.707590$	$-27/13$	$0.83674$	$3.37073$	$[1, -1, 0, -4848, -3748861]$	\(y^2+xy=x^3-x^2-4848x-3748861\)	2.3.0.a.1, 52.6.0.e.1, 204.6.0.?, 1326.6.0.?, 2652.12.0.?	$[(64906/15, 14145109/15)]$
439569.ce2	439569ce1	439569.ce	439569ce	$2$	$2$	\( 3^{2} \cdot 13^{2} \cdot 17^{2} \)	\( - 3^{9} \cdot 13^{7} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$147.3385765$	$1$		$1$	$35094528$	$3.124195$	$-27/13$	$0.83674$	$4.67901$	$[1, -1, 0, -1401126, -18423758521]$	\(y^2+xy=x^3-x^2-1401126x-18423758521\)	2.3.0.a.1, 52.6.0.e.1, 204.6.0.?, 1326.6.0.?, 2652.12.0.?	$[(9696780665471339648672309740590646667231035171143574040083313318/151338011777861503399509489649, 954125205440881153289323654234178103990300093235705650699795167088167917001675597759574854467069/151338011777861503399509489649)]$