Elliptic curve search results

Results (13 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
9690.q1	9690q2	9690.q	9690q	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19 \)	\( 2 \cdot 3^{2} \cdot 5^{10} \cdot 17 \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$2040$	$12$	$0$	$7.854894626$	$1$		$0$	$35840$	$1.398968$	$30745751866050712609/1078769531250$	$0.96350$	$4.88866$	$1$	$[1, 1, 1, -65266, -6444691]$	\(y^2+xy+y=x^3+x^2-65266x-6444691\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[(10647/2, 1082951/2)]$	$1$
29070.o1	29070t2	29070.o	29070t	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 17 \cdot 19 \)	\( 2 \cdot 3^{8} \cdot 5^{10} \cdot 17 \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$0.456412465$	$1$		$8$	$286720$	$1.948275$	$30745751866050712609/1078769531250$	$0.96350$	$5.00746$	$1$	$[1, -1, 0, -587394, 173419258]$	\(y^2+xy=x^3-x^2-587394x+173419258\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[(407, 1079)]$	$1$
48450.s1	48450p2	48450.s	48450p	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \)	\( 2 \cdot 3^{2} \cdot 5^{16} \cdot 17 \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$4$	$2$	$0$	$860160$	$2.203686$	$30745751866050712609/1078769531250$	$0.96350$	$5.05445$	$1$	$[1, 0, 1, -1631651, -802323052]$	\(y^2+xy+y=x^3-1631651x-802323052\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[ ]$	$1$
77520.cc1	77520cd2	77520.cc	77520cd	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 17 \cdot 19 \)	\( 2^{13} \cdot 3^{2} \cdot 5^{10} \cdot 17 \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$2.723150664$	$1$		$3$	$860160$	$2.092113$	$30745751866050712609/1078769531250$	$0.96350$	$4.72452$	$1$	$[0, 1, 0, -1044256, 410371700]$	\(y^2=x^3+x^2-1044256x+410371700\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[(466, 5016)]$	$1$
145350.ef1	145350bg2	145350.ef	145350bg	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17 \cdot 19 \)	\( 2 \cdot 3^{8} \cdot 5^{16} \cdot 17 \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$4$	$2$	$0$	$6881280$	$2.752995$	$30745751866050712609/1078769531250$	$0.96350$	$5.14184$	$1$	$[1, -1, 1, -14684855, 21662722397]$	\(y^2+xy+y=x^3-x^2-14684855x+21662722397\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[ ]$	$1$
164730.dl1	164730f2	164730.dl	164730f	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 19 \)	\( 2 \cdot 3^{2} \cdot 5^{10} \cdot 17^{7} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$12.72614570$	$1$		$0$	$10321920$	$2.815575$	$30745751866050712609/1078769531250$	$0.96350$	$5.15079$	$1$	$[1, 0, 0, -18861880, -31530732850]$	\(y^2+xy=x^3-18861880x-31530732850\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[(54535315/78, 339958218965/78)]$	$1$
184110.q1	184110bf2	184110.q	184110bf	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \)	\( 2 \cdot 3^{2} \cdot 5^{10} \cdot 17 \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$10.18913884$	$1$		$0$	$12902400$	$2.871189$	$30745751866050712609/1078769531250$	$0.96350$	$5.15858$	$1$	$[1, 0, 1, -23561034, 44015646082]$	\(y^2+xy+y=x^3-23561034x+44015646082\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[(881206/15, 360274109/15)]$	$1$
232560.ei1	232560ei2	232560.ei	232560ei	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \cdot 19 \)	\( 2^{13} \cdot 3^{8} \cdot 5^{10} \cdot 17 \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$2.432672179$	$1$		$5$	$6881280$	$2.641422$	$30745751866050712609/1078769531250$	$0.96350$	$4.83792$	$1$	$[0, 0, 0, -9398307, -11089434206]$	\(y^2=x^3-9398307x-11089434206\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[(-1777, 270)]$	$1$
310080.da1	310080da2	310080.da	310080da	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 17 \cdot 19 \)	\( 2^{19} \cdot 3^{2} \cdot 5^{10} \cdot 17 \cdot 19^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1.236163964$	$1$		$19$	$6881280$	$2.438690$	$30745751866050712609/1078769531250$	$0.96350$	$4.53545$	$1$	$[0, -1, 0, -4177025, 3287150625]$	\(y^2=x^3-x^2-4177025x+3287150625\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[(7925, 684000), (1275, 5700)]$	$1$
310080.gr1	310080gr2	310080.gr	310080gr	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 17 \cdot 19 \)	\( 2^{19} \cdot 3^{2} \cdot 5^{10} \cdot 17 \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$2.742500477$	$1$		$3$	$6881280$	$2.438690$	$30745751866050712609/1078769531250$	$0.96350$	$4.53545$	$1$	$[0, 1, 0, -4177025, -3287150625]$	\(y^2=x^3+x^2-4177025x-3287150625\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[(7275, 592800)]$	$1$
387600.bg1	387600bg2	387600.bg	387600bg	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \)	\( 2^{13} \cdot 3^{2} \cdot 5^{16} \cdot 17 \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$4.355217712$	$1$		$3$	$20643840$	$2.896835$	$30745751866050712609/1078769531250$	$0.96350$	$4.88405$	$1$	$[0, -1, 0, -26106408, 51348675312]$	\(y^2=x^3-x^2-26106408x+51348675312\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[(2877, 6750)]$	$1$
474810.eq1	474810eq2	474810.eq	474810eq	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 \cdot 19 \)	\( 2 \cdot 3^{2} \cdot 5^{10} \cdot 7^{6} \cdot 17 \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$1$		$0$	$12902400$	$2.371922$	$30745751866050712609/1078769531250$	$0.96350$	$4.32631$	$1$	$[1, 0, 0, -3198035, 2200934847]$	\(y^2+xy=x^3-3198035x+2200934847\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[ ]$	$1$
494190.bb1	494190bb2	494190.bb	494190bb	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 17^{2} \cdot 19 \)	\( 2 \cdot 3^{8} \cdot 5^{10} \cdot 17^{7} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$2.830127789$	$1$		$6$	$82575360$	$3.364880$	$30745751866050712609/1078769531250$	$0.96350$	$5.22195$	$1$	$[1, -1, 0, -169756920, 851329786950]$	\(y^2+xy=x^3-x^2-169756920x+851329786950\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[(7561, -6526)]$	$1$

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