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by
Ciro Santilli
(
@cirosantilli,
34
)
Largest known ranks of an elliptic curve over the rational numbers
...
Elliptic curve
Domain of an elliptic curve
Elliptic curve over the rational numbers
Number of elements of an elliptic curve over the rational numbers
Mordell's theorem
Rank of an elliptic curve over the rational numbers
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Updated
2024-12-15
+
Created
1970-01-01
See my version
web.math.pmf.unizg.hr/~duje/tors/rankhist.html
gives a list with Elkies (2006) on top with:
y
2
+
x
y
+
y
=
x
3
−
x
2
−
2
0
0
6
7
7
6
2
4
1
5
5
7
5
5
2
6
5
8
5
0
3
3
2
0
8
2
0
9
3
3
8
5
4
2
7
5
0
9
3
0
2
3
0
3
1
2
1
7
8
9
5
6
5
0
2
x
+
3
4
4
8
1
6
1
1
7
9
5
0
3
0
5
5
6
4
6
7
0
3
2
9
8
5
6
9
0
3
9
0
7
2
0
3
7
4
8
5
5
9
4
4
3
5
9
3
1
9
1
8
0
3
6
1
2
6
6
0
0
8
2
9
6
2
9
1
9
3
9
4
4
8
7
3
2
2
4
3
4
2
9
(1)
TODO why this non standard formulation?
Ancestors
(11)
Rank of an elliptic curve over the rational numbers
Mordell's theorem
Number of elements of an elliptic curve over the rational numbers
Elliptic curve over the rational numbers
Domain of an elliptic curve
Elliptic curve
Algebraic geometry
Algebra
Area of mathematics
Mathematics
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Rank of an elliptic curve over the rational numbers
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