⌂
→
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 (displaying both matches)
Label
Base field
Conductor
norm
Conductor label
Isogeny class
Weierstrass coefficients
29.1-b1
5.5.24217.1
29
29.1
29.1-b
\( \bigl[a^{4} - 4 a^{2}\) , \( -3 a^{4} + 14 a^{2} + a - 4\) , \( 2 a^{4} - 9 a^{2} + 2\) , \( 262 a^{4} - 221 a^{3} - 1174 a^{2} + 730 a + 366\) , \( 3311 a^{4} - 2134 a^{3} - 14758 a^{2} + 6316 a + 3956\bigr] \)
725.1-b1
5.5.24217.1
725
725.1
725.1-b
\( \bigl[-a^{4} + a^{3} + 5 a^{2} - 3 a - 2\) , \( a\) , \( -a^{4} + a^{3} + 5 a^{2} - 3 a - 2\) , \( 922 a^{4} - 800 a^{3} - 4154 a^{2} + 2632 a + 1469\) , \( -21199 a^{4} + 9891 a^{3} + 94044 a^{2} - 23902 a - 20752\bigr] \)
Download all search results for
Pari/GP
SageMath
Magma