Best known conductors for elliptic curves of given rank

The curves are given in the form [a1 a2 a3 a4 a6].

There are four classes of curves here, which I've colour-coded in what I hope is a meaningful way:

Green Curve is known to have the smallest conductor for that rank, as a result of an exhaustive search over conductors
Blue Curve is known to have the smallest conductor for that rank among curves with max(a4,a6) <= its value of max(a4,a6)
Pink Curve was found by the sieve-driven search documented here (with bounds |a4|<=2^16, |a6|<2^26)
Cream I don't know how this curve was found
Grey Curve was found by a Mestre-style method (mine is documented here): the rank has not always been proven not to be more than I claim

If the conductor is displayed in a saturated (rather than a pastel) colour, it is prime.

Rank Curve Conductor log(N) Source
0 [0 -1 1 0 0] 11 2.398 Cremona [1997]
1 [0 0 1 -1 0] 37 3.611 Cremona [1997]
2 [0 1 1 -2 0] 389 5.964 Cremona [1997]
3 [0 0 1 -7 6] 5077 8.532 Cremona*
4 [1 -1 0 -79 289] 234446 12.365 APECS
5 [0 0 1 -79 342] 19047851 16.762 BMcG [1990]
6 [1 1 0 -2582 48720] 5187563742 22.369 Watkins (2002)
7 [0 0 0 -10012 346900] 382623908456 26.670 Watkins (2002)
8 [0 0 1 -23737 960366] 457532830151317 33.757 Womack (2002)
9 [0 1 1 -3529920 2567473020] 484154179417645171 40.721 Womack* (2000)
10 [0 1 0 -73169143545 8305634997295659] 1971056874401658426264 49.033 Womack* (2000)
11 [0 0 1 -56874727 151924164456] 1803406168183626767102437 55.852 Mestre (1986)

Sources:

APECS The exam(4) table in Ian Connell's elliptic-curve system.
BMcG [1990] A. Brumer & O. McGuinness, The Behaviour of the Mordell-Weil Group of Elliptic Curves, Bulletin of the AMS 23 #2 (Oct 1990) pp 375-382
Buddenhagen provided an r=9 example to Ian Connell for APECS
Cremona[1997] J E Cremona, Algorithms for Modular Elliptic Curves, 2nd Edition, pub. CUP, ISBN 0521598206
Cremona* The extended table found at http://www.maths.nottingham.ac.uk/personal/jec/ftp/data
Mestre (1986) J. F. Mestre, Formules explicites et minorations de conducteurs de variétés algébriques, Compositio Math. 58 (1986) pp 209-232; contained a very good rank-8 example as well as this rank-11 one.
Suess (2000) Nigel Suess's PhD thesis (contained the good rank-7 example [0, 0, 1, -5707, 151416])
Watkins (2002) Mark J Watkins; personal communication.
Womack (2000) Not documented other than in this table: Womack* denotes curves found by Mestre-style approach