Elliptic curves over $\Q$

The database currently includes 3,824,372 elliptic curves defined over $\Q$, in 2,917,287 isogeny classes, with conductor at most 299,996,953. Here are some further statistics and completeness information.

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By conductor:	1-99   100-999   1000-9999   10000-99999   100000-500000   >500000
By rank:	0  1  2  3  4  5
By torsion order:	1  2  3  4  5  6  7  8  9  10  12  16
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Conductor		e.g. 389 or 100-200	j-invariant		e.g. 1728 or -4096/11
Discriminant		e.g. 389 or 100-200	Faltings height		e.g. -1-2
Rank		e.g. 0	Regulator		e.g. 8.4-9.1
Torsion order		e.g. 2	Torsion structure
CM discriminant		e.g. -3	CM
Analytic order of Ш		e.g. 4	$p$ dividing |Ш|		e.g. 3,5
Maximal primes		e.g. 2,3	Nonmax $p$		e.g. 2,3
Cyclic isogeny degree		e.g. 16	Bad $p$		e.g. 5,13
Isogeny class size		e.g. 4	Number of integral points		e.g. 2 or 4-15
Isogeny class degree		e.g. 16	Semistable		e.g. Yes
Curves per isogeny class		e.g. all, one	Potential good reduction		e.g. Yes
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Label or coefficients
	e.g. 11.a2 or 389.a or 11a1 or 389a or [0,1,1,-2,0] or [-3024, 46224]