Elliptic curve search results

Results (8 matches)

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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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
33282.d2	33282b1	33282.d	33282b	$2$	$2$	\( 2 \cdot 3^{2} \cdot 43^{2} \)	\( 2^{2} \cdot 3^{9} \cdot 43^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.2	2B	$1032$	$12$	$0$	$1.132906580$	$1$		$7$	$21120$	$0.612862$	$35937/4$	$0.85015$	$3.04056$	$1$	$[1, -1, 0, -798, 8000]$	\(y^2+xy=x^3-x^2-798x+8000\)	2.3.0.a.1, 8.6.0.f.1, 258.6.0.?, 1032.12.0.?	$[(11, 16)]$	$1$
33282.f2	33282a1	33282.f	33282a	$2$	$2$	\( 2 \cdot 3^{2} \cdot 43^{2} \)	\( 2^{2} \cdot 3^{3} \cdot 43^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.2	2B	$1032$	$12$	$0$	$5.487377420$	$1$		$3$	$302720$	$1.944155$	$35937/4$	$0.85015$	$4.57478$	$1$	$[1, -1, 0, -163983, 23011065]$	\(y^2+xy=x^3-x^2-163983x+23011065\)	2.3.0.a.1, 8.6.0.f.1, 258.6.0.?, 1032.12.0.?	$[(552, 9747)]$	$1$
33282.bb2	33282r1	33282.bb	33282r	$2$	$2$	\( 2 \cdot 3^{2} \cdot 43^{2} \)	\( 2^{2} \cdot 3^{3} \cdot 43^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.2	2B	$1032$	$12$	$0$	$1$	$1$		$1$	$7040$	$0.063555$	$35937/4$	$0.85015$	$2.40752$	$1$	$[1, -1, 1, -89, -267]$	\(y^2+xy+y=x^3-x^2-89x-267\)	2.3.0.a.1, 8.6.0.f.1, 258.6.0.?, 1032.12.0.?	$[ ]$	$1$
33282.bc2	33282q1	33282.bc	33282q	$2$	$2$	\( 2 \cdot 3^{2} \cdot 43^{2} \)	\( 2^{2} \cdot 3^{9} \cdot 43^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.2	2B	$1032$	$12$	$0$	$1$	$25$	$5$	$1$	$908160$	$2.493462$	$35937/4$	$0.85015$	$5.20782$	$1$	$[1, -1, 1, -1475849, -619822907]$	\(y^2+xy+y=x^3-x^2-1475849x-619822907\)	2.3.0.a.1, 8.6.0.f.1, 258.6.0.?, 1032.12.0.?	$[ ]$	$1$
266256.n2	266256n1	266256.n	266256n	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 43^{2} \)	\( 2^{14} \cdot 3^{3} \cdot 43^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.2	2B	$1032$	$12$	$0$	$1$	$1$		$1$	$7265280$	$2.637302$	$35937/4$	$0.85015$	$4.47910$	$1$	$[0, 0, 0, -2623731, -1470084430]$	\(y^2=x^3-2623731x-1470084430\)	2.3.0.a.1, 8.6.0.f.1, 258.6.0.?, 1032.12.0.?	$[ ]$	$1$
266256.u2	266256u1	266256.u	266256u	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 43^{2} \)	\( 2^{14} \cdot 3^{9} \cdot 43^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.2	2B	$1032$	$12$	$0$	$1$	$1$		$1$	$506880$	$1.306009$	$35937/4$	$0.85015$	$3.20027$	$1$	$[0, 0, 0, -12771, -499230]$	\(y^2=x^3-12771x-499230\)	2.3.0.a.1, 8.6.0.f.1, 258.6.0.?, 1032.12.0.?	$[ ]$	$1$
266256.cj2	266256cj1	266256.cj	266256cj	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 43^{2} \)	\( 2^{14} \cdot 3^{9} \cdot 43^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.2	2B	$1032$	$12$	$0$	$1$	$1$		$1$	$21795840$	$3.186607$	$35937/4$	$0.85015$	$5.00677$	$1$	$[0, 0, 0, -23613579, 39692279610]$	\(y^2=x^3-23613579x+39692279610\)	2.3.0.a.1, 8.6.0.f.1, 258.6.0.?, 1032.12.0.?	$[ ]$	$1$
266256.cn2	266256cn1	266256.cn	266256cn	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 43^{2} \)	\( 2^{14} \cdot 3^{3} \cdot 43^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.2	2B	$1032$	$12$	$0$	$1$	$1$		$1$	$168960$	$0.756702$	$35937/4$	$0.85015$	$2.67260$	$1$	$[0, 0, 0, -1419, 18490]$	\(y^2=x^3-1419x+18490\)	2.3.0.a.1, 8.6.0.f.1, 258.6.0.?, 1032.12.0.?	$[ ]$	$1$

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