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The database currently contains the complete Cremona database. This contains all 3,064,705 elliptic curves defined over $\Q$ with conductor up to 500,000. Here are some further statistics.

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By conductor: 1-99   100-999   1000-9999   10000-99999   100000-500000  
By rank: 0  1  2  3  4 
By torsion order: 1  2  3  4  5  6  7  8  9  10  12  16 
Some interesting elliptic curves or a random elliptic curve

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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]