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ID: INPUT{id.yaml}

Title: >
  $j$-invariants of elliptic curves over $\mathbb{Q}$ with 
  good reduction outside $\{2, 3, 5\}$

Definition: >
  This table contains the $j$-invariants of all 
  elliptic curves $\mathbb{Q}$ with good reduction outside $\{2,3,5\}$.
  
Parameters:
   
Comments:
  comment-minimal-discriminant-and-N: >
    An elliptic curve $E/\mathbb{Q}$ has good reduction at a prime $p$
    if and only if $p$ does not divide the minimal discriminant of $E$, 
    and equivalently,
    if and only if $p$ does not divide the conductor of $E$.

Formulas:

Programs:

References:
      
Links:
  SUE:
    title: "Tables of elliptic curves with good reduction away from the first primes"
    url: https://github.com/bmatschke/s-unit-equations/tree/master/elliptic-curve-tables/good-reduction-away-from-first-primes
  Wiki:
    title: "Wikipedia: j-invariant"
    url: https://en.wikipedia.org/wiki/J-invariant
    
Similar tables:
  
Keywords:
  
Tags:
- number theory
- elliptic curves

Data properties:
  type: Q
  complete: yes
  sources:
  - CITE{SUE}

Display properties:
  number-header: $j$

Numbers: INPUT{numbers.yaml}

— preview —

$j$-invariants of elliptic curves over $\mathbb{Q}$ with good reduction outside $\{2, 3, 5\}$

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Numbers

$j$

INPUT{numbers.yaml}

Definition

This table contains the $j$-invariants of all elliptic curves $\mathbb{Q}$ with good reduction outside $\{2,3,5\}$.

Comments

(1)

An elliptic curve $E/\mathbb{Q}$ has good reduction at a prime $p$ if and only if $p$ does not divide the minimal discriminant of $E$, and equivalently, if and only if $p$ does not divide the conductor of $E$.

Links

[1]

Tables of elliptic curves with good reduction away from the first primes

[2]

Wikipedia: j-invariant

Data properties

Entries are of type: rational number

Table is complete: yes

Sources of data: [1]