Elliptic curves over $\Q$ of conductor 80

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

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
80.a1	80a3	80.a	80a	$4$	$4$	\( 2^{4} \cdot 5 \)	\( 2^{10} \cdot 5 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.39	2B	$80$	$192$	$3$	$1$	$1$		$3$	$8$	$-0.202214$	$132304644/5$	$1.13632$	$5.84937$	$2$	$[0, 0, 0, -107, 426]$	\(y^2=x^3-107x+426\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.1, 10.6.0.a.1, 16.48.0-16.i.1.1, $\ldots$	$[ ]$	$1$
80.a2	80a1	80.a	80a	$4$	$4$	\( 2^{4} \cdot 5 \)	\( 2^{8} \cdot 5^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.39	2Cs	$40$	$192$	$3$	$1$	$1$		$3$	$4$	$-0.548787$	$148176/25$	$1.09175$	$3.98248$	$2$	$[0, 0, 0, -7, 6]$	\(y^2=x^3-7x+6\)	2.6.0.a.1, 4.24.0-4.a.1.1, 8.48.0-8.g.1.1, 20.48.0-20.b.1.1, 40.192.3-40.bk.1.1	$[ ]$	$1$
80.a3	80a2	80.a	80a	$4$	$4$	\( 2^{4} \cdot 5 \)	\( 2^{4} \cdot 5 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.55	2B	$80$	$192$	$3$	$1$	$1$		$1$	$8$	$-0.895361$	$55296/5$	$1.01898$	$3.12482$	$2$	$[0, 0, 0, -2, -1]$	\(y^2=x^3-2x-1\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 10.6.0.a.1, 16.48.0-16.i.1.3, $\ldots$	$[ ]$	$2$
80.a4	80a4	80.a	80a	$4$	$4$	\( 2^{4} \cdot 5 \)	\( - 2^{10} \cdot 5^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.48.0.2	2B	$80$	$192$	$3$	$1$	$1$		$3$	$8$	$-0.202214$	$237276/625$	$1.04671$	$4.69551$	$1$	$[0, 0, 0, 13, 34]$	\(y^2=x^3+13x+34\)	2.3.0.a.1, 4.48.0-4.c.1.1, 40.96.1-40.dk.1.1, 80.192.3.?	$[ ]$	$1$
80.b1	80b4	80.b	80b	$4$	$6$	\( 2^{4} \cdot 5 \)	\( 2^{4} \cdot 5^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.22, 3.4.0.1	2B, 3B	$120$	$384$	$9$	$1$	$1$		$1$	$24$	$-0.380644$	$488095744/125$	$1.07376$	$5.19819$	$2$	$[0, -1, 0, -41, 116]$	\(y^2=x^3-x^2-41x+116\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 8.12.0-4.b.1.2, $\ldots$	$[ ]$	$2$
80.b2	80b3	80.b	80b	$4$	$6$	\( 2^{4} \cdot 5 \)	\( - 2^{8} \cdot 5^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.37, 3.4.0.1	2B, 3B	$120$	$384$	$9$	$1$	$1$		$1$	$12$	$-0.034070$	$-20720464/15625$	$0.95894$	$5.30030$	$1$	$[0, -1, 0, -36, 140]$	\(y^2=x^3-x^2-36x+140\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.24.0-6.a.1.3, 8.12.0-4.a.1.1, $\ldots$	$[ ]$	$1$
80.b3	80b2	80.b	80b	$4$	$6$	\( 2^{4} \cdot 5 \)	\( 2^{4} \cdot 5 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.22, 3.4.0.1	2B, 3B	$120$	$384$	$9$	$1$	$1$		$1$	$8$	$-0.929950$	$16384/5$	$0.95621$	$2.84723$	$2$	$[0, -1, 0, -1, 0]$	\(y^2=x^3-x^2-x\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 8.12.0-4.b.1.2, $\ldots$	$[ ]$	$2$
80.b4	80b1	80.b	80b	$4$	$6$	\( 2^{4} \cdot 5 \)	\( - 2^{8} \cdot 5^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.37, 3.4.0.1	2B, 3B	$120$	$384$	$9$	$1$	$1$		$1$	$4$	$-0.583377$	$21296/25$	$0.83964$	$3.54621$	$1$	$[0, -1, 0, 4, -4]$	\(y^2=x^3-x^2+4x-4\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.24.0-6.a.1.1, 8.12.0-4.a.1.1, $\ldots$	$[ ]$	$1$

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