⌂
→
Elliptic Curves
→
Search Results
Feedback
·
Hide Menu
Elliptic Curve Search Results
Introduction and more
Introduction
Features
Universe
News
L-functions
Degree:
1
2
3
4
$\zeta$ zeros
Modular Forms
GL(2)
Classical
Maass
Hilbert
Bianchi
Varieties
Curves
Elliptic:
$/\Q$
/NumberFields
Genus 2:
$/\Q$
Higher genus:
Families
Abelian Varieties:
$/\F_{q}$
Fields
Number fields:
Global
Local
Representations
Dirichlet Characters
Artin
Groups
Galois groups
Sato-Tate groups
Knowledge
Refine search
Base field
Conductor norm
Isogenous curves
Base change curves
\(\Q\)-curves
CM curves
exclude
include
include
exclude
only
include
exclude
only
include
exclude
only
Torsion order
Isogeny degree
Torsion structure
j-invariant
any
trivial
C21
C2×C18
C2×C8
C9
C11
C2×C12
C13
C15
C3×C3
C4×C4
C3
C5
C16
C3×C6
C2×C2
C7
C18
C20
C2×C16
C2×C6
C22
C8
C2×C10
C10
C37
C12
C2×C14
C14
C25
C27
C2
C4
C6
C17
C19
C2×C4
Search again
Results (unique match)
Label
Base field
Conductor
norm
Conductor label
Isogeny class
Weierstrass coefficients
71.2-c2
6.6.300125.1
71
71.2
71.2-c
\( \bigl[a^{5} - 7 a^{3} - 5 a^{2} + 3 a + 3\) , \( 3 a^{5} - a^{4} - 21 a^{3} - 8 a^{2} + 10 a + 1\) , \( a^{5} - 7 a^{3} - 5 a^{2} + 2 a + 2\) , \( 160 a^{5} - 32 a^{4} - 1154 a^{3} - 592 a^{2} + 710 a + 205\) , \( -79 a^{5} + 80 a^{4} + 491 a^{3} - 91 a^{2} - 150 a - 35\bigr] \)
Download all search results for
Pari/GP
SageMath
Magma