bash-2.05a$ mwrank3
Program mwrank: uses 2-descent (via 2-isogeny if possible) to
determine the rank of an elliptic curve E over Q, and list a
set of points which generate E(Q) modulo 2E(Q).
and finally search for further points on the curve.
For more details see the file mwrank.doc.
For details of algorithms see the author's book.

Please acknowledge use of this program in published work, 
and send problems to John.Cremona@nottingham.ac.uk.

Version compiled on Feb 11 2003 at 17:40:15 by GCC 3.2.1
using base arithmetic option LiDIA_ALL (LiDIA bigints and multiprecision floating point)
Using LiDIA multiprecision floating point with 15 decimal places.
Enter curve: [0,0,0,0,17]

Curve [0,0,0,0,17] :     No points of order 2
Basic pair: I=0, J=-459
disc=-210681
2-adic index bound = 2
2-adic index = 2
Two (I,J) pairs
Looking for quartics with I = 0, J = -459
Looking for Type 3 quartics:
Trying positive a from 1 up to 2 (square a first...)
(1,0,-6,9,-3)      --nontrivial...(x:y:z) = (1 : 1 : 0)
Point = [4 : 9 : 1]
 height = 0.789175980781266
Rank of B=im(eps) increases to 1
Trying positive a from 1 up to 2 (...then non-square a)
Trying negative a from -1 down to -1
Finished looking for Type 3 quartics.
Looking for quartics with I = 0, J = -29376
Looking for Type 3 quartics:
Trying positive a from 1 up to 8 (square a first...)
(1,0,12,24,-12)    --nontrivial...(x:y:z) = (1 : 1 : 0)
Point = [-2 : 3 : 1]
        height = 0.454616865184211
Doubling global 2-adic index to 2
global 2-adic index is equal to local index
so we abort the search for large quartics
Rank of B=im(eps) increases to 2
Exiting search for large quartics after finding enough globally soluble ones.
Mordell rank contribution from B=im(eps) = 2
Selmer  rank contribution from B=im(eps) = 2
Sha     rank contribution from B=im(eps) = 0
Mordell rank contribution from A=ker(eps) = 0
Selmer  rank contribution from A=ker(eps) = 0
Sha     rank contribution from A=ker(eps) = 0
Rank = 2
Points generating E(Q)/2E(Q):
Point [-2 : 3 : 1], height = 0.454616865184211
Point [4 : 9 : 1], height = 0.789175980781266
After descent, rank of points found is 2

Generator 1 is [-2 : 3 : 1]; height 0.454616865184211
Generator 2 is [4 : 9 : 1]; height 0.789175980781266

The rank has been determined unconditionally.
The basis given is for a subgroup of full rank of the Mordell-Weil group
 (modulo torsion), possibly of index greater than 1.
Regulator (of this subgroup) = 0.350554248223813

 (2.9 seconds)
Enter curve: [0,0,0,0,0]

bash-2.05a$