Elliptic curves over $\Q$ of conductor 11

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

Results (3 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
11.a1	11a2	11.a	11a	$3$	$25$	\( 11 \)	\( -11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	25.120.0.3	5B.1.2	$550$	$1200$	$37$	$1$	$1$		$0$	$5$	$0.496709$	$-52893159101157376/11$	$1.09296$	$16.05869$	$1$	$[0, -1, 1, -7820, -263580]$	\(y^2+y=x^3-x^2-7820x-263580\)	5.24.0-5.a.2.2, 22.2.0.a.1, 25.120.0-25.a.2.2, 110.48.1.?, 275.600.12.?, $\ldots$	$[ ]$	$1$
11.a2	11a1	11.a	11a	$3$	$25$	\( 11 \)	\( - 11^{5} \)	$0$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.120.0.1	5Cs.1.1	$550$	$1200$	$37$	$1$	$1$		$4$	$1$	$-0.308010$	$-122023936/161051$	$1.01300$	$8.26048$	$1$	$[0, -1, 1, -10, -20]$	\(y^2+y=x^3-x^2-10x-20\)	5.120.0-5.a.1.2, 22.2.0.a.1, 110.240.5.?, 275.600.12.?, 550.1200.37.?	$[ ]$	$1$
11.a3	11a3	11.a	11a	$3$	$25$	\( 11 \)	\( -11 \)	$0$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	25.120.0.1	5B.1.1	$550$	$1200$	$37$	$1$	$1$		$4$	$5$	$-1.112728$	$-4096/11$	$0.82546$	$4.19024$	$5$	$[0, -1, 1, 0, 0]$	\(y^2+y=x^3-x^2\)	5.24.0-5.a.1.2, 22.2.0.a.1, 25.120.0-25.a.1.2, 110.48.1.?, 275.600.12.?, $\ldots$	$[ ]$	$5$

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