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

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Conductor	Discriminant	j-invariant	Rank

Bad$\ p$	Curves per isogeny class	Complex multiplication	Torsion

Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

Analytic order of Ш	$p\ $div$\ $\|Ш\|	Regulator	Reduction	Faltings height

Galois image	Adelic level	Adelic index	Adelic genus

Nonmax$\ \ell$	$abc$ quality	Szpiro ratio	Manin constant

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Results (4 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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
17.a1	17a3	17.a	17a	$4$	$4$	\( 17 \)	\( 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	32.96.0.18	2B	$1088$	$1536$	$53$	$1$	$1$		$0$	$4$	$-0.376636$	$82483294977/17$	$1.03131$	$8.87186$	$[1, -1, 1, -91, -310]$	\(y^2+xy+y=x^3-x^2-91x-310\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 16.48.0-16.j.1.3, 32.96.0-32.f.2.1, $\ldots$	$[ ]$	$2$
17.a2	17a2	17.a	17a	$4$	$4$	\( 17 \)	\( 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	16.96.0.13	2Cs	$544$	$1536$	$53$	$1$	$1$		$2$	$2$	$-0.723209$	$20346417/289$	$1.02963$	$5.93969$	$[1, -1, 1, -6, -4]$	\(y^2+xy+y=x^3-x^2-6x-4\)	2.6.0.a.1, 4.24.0-4.a.1.1, 8.48.0-8.f.1.1, 16.96.0-16.c.2.2, 68.48.0-68.b.1.1, $\ldots$	$[ ]$	$2$
17.a3	17a1	17.a	17a	$4$	$4$	\( 17 \)	\( - 17^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	16.96.0.32	2B	$1088$	$1536$	$53$	$1$	$1$		$2$	$1$	$-0.376636$	$-35937/83521$	$1.18071$	$6.63128$	$[1, -1, 1, -1, -14]$	\(y^2+xy+y=x^3-x^2-x-14\)	2.3.0.a.1, 4.24.0-4.d.1.1, 8.48.0-8.t.1.2, 16.96.0-16.m.2.1, 136.96.1.?, $\ldots$	$[ ]$	$1$
17.a4	17a4	17.a	17a	$4$	$4$	\( 17 \)	\( 17 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	32.96.0.10	2B	$1088$	$1536$	$53$	$1$	$1$		$3$	$4$	$-1.069784$	$35937/17$	$1.02432$	$3.70234$	$[1, -1, 1, -1, 0]$	\(y^2+xy+y=x^3-x^2-x\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.1, 16.48.0-16.j.1.1, 32.96.0-32.f.2.2, $\ldots$	$[ ]$	$4$

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