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The database currently contains 2,945,722 isogeny classes of abelian varieties of dimension up to 6 over finite fields. You can browse further statistics or create your own.

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By dimension: 1  2  3  4  5  6 
By base field cardinality: 2  3  4  5  7  8  9  16  17  19  23  25  27-211  223-1024 
By $p$-rank: 0  1  2  3  4  5  6  By $p$-corank: 0  1  2  3  4  5  6 
By angle rank: 0  1  2  3  4  5  6  By angle corank: 0  1  2  3  4  5  6 
By primitive    simple    geom. simple    ordinary    almost ordinary    supersingular    princ. polarizable    Jacobian
Some interesting isogeny classes or a random isogeny class
A table by dimension and base field.

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Cardinality of the Base field e.g. 81 or 3-49 Primitive
Characteristic of the Base field e.g. 3 or 2-5 Simple
Dimension e.g. 2 or 3-5 Geometrically simple
Initial coefficients e.g. [2, -1, 3, 9] Principally polarizable
$p$-rank e.g. 2 Jacobian
$p$-corank e.g. 2 (Geometrically) Squarefree
Number of Jacobians e.g. 6 Number of hyperelliptic Jacobians e.g. 6
Angle rank e.g. 3 Angle corank e.g. 3
Number of twists e.g. 390 Max twist degree e.g. 16
Newton elevation e.g. 1 Degree of endomorphism_field e.g. 6-12, 168
Slopes of Newton polygon e.g. [0,0,1/2]
Point counts of the variety e.g. [75,7125]
Point counts of the curve e.g. [9,87]
Simple factors e.g. 1.2.b,1.2.b,2.2.a_b
Use Geometric decomposition in the following inputs
    Dimension 1 factors e.g. 1-3 Distinct factors e.g. 2 or 1-3
    Dimension 2 factors e.g. 1-3 Distinct factors e.g. 2 or 1-3
    Dimension 3 factors e.g. 2 Distinct factors e.g. 2 or 0-1
    Dimension 4 factors e.g. 2 e.g. 0 or 1
    Dimension 5 factors e.g. 2 e.g. 0 or 1
    Number field e.g. 4.0.29584.2 or Qzeta8
    Galois group e.g. C4, or 8T12, a list of group names
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Label or polynomial
e.g. 2.16.am_cn or 1 - x + 2x^2 or x^2 - x + 2