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Elliptic curves over number fields
Introduction
Overview
Random
Universe
Knowledge
L-functions
Rational
All
Modular forms
Classical
Maass
Hilbert
Bianchi
Varieties
Elliptic curves over
Q
\Q
Q
Elliptic curves over
Q
(
α
)
\Q(\alpha)
Q
(
α
)
Genus 2 curves over
Q
\Q
Q
Higher genus families
Abelian varieties over
F
q
\F_{q}
F
q
Fields
Number fields
p
p
p
-adic fields
Representations
Dirichlet characters
Artin representations
Groups
Galois groups
Sato-Tate groups
Database
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Learn more
Source and acknowledgments
Completeness of the data
Reliability of the data
Elliptic curve labels
The database currently contains 767,505
elliptic curves
in 350,509
isogeny classes
, over 423
number fields
of
degree
2 to 6. Elliptic curves defined over
Q
\mathbb{Q}
Q
are contained in a
separate database
.
Browse by field degree or signature:
Degree 2
Signature (0,1)
Signature (2,0)
Degree 3
Signature (1,1)
Signature (3,0)
Degree 4
Signature (4,0)
Degree 5
Signature (5,0)
Degree 6
Signature (6,0)