data:
- - Lvalue:
      __RealLiteral__: 0
      data: '0.86887392907669396383911944990574740405'
      prec: 133
    abs_disc: 13
    ainvs: 0,1;0,0;0,1;-15,-4;10,1
    analytic_rank: 0
    bad_primes:
    - (-w)
    - (-w+1)
    base_change: []
    class_deg: 24
    class_label: 2.2.13.1-27.1-a
    class_size: 12
    cm: 0
    cm_type: 0
    conductor_ideal: (-3*w)
    conductor_label: '27.1'
    conductor_norm: 27
    conductor_norm_factors:
    - 3
    degree: 2
    disc: (729*w+2187)
    equation: '{y}^2+a{x}{y}+a{y}={x}^{3}+\left(-4a-15\right){x}+a+10'
    field_label: 2.2.13.1
    galois_images:
    - 2Cs
    - 3B.1.1
    gens: []
    heights: []
    id: 376198
    iso_label: a
    iso_nlabel: 0
    isodeg:
    - 1
    - 2
    - 3
    - 4
    - 6
    - 12
    isogeny_matrix:
    - - 1
      - 24
      - 8
      - 3
      - 6
      - 4
      - 8
      - 12
      - 12
      - 2
      - 24
      - 4
    - - 24
      - 1
      - 3
      - 8
      - 4
      - 6
      - 12
      - 8
      - 2
      - 12
      - 4
      - 24
    - - 8
      - 3
      - 1
      - 24
      - 12
      - 2
      - 4
      - 24
      - 6
      - 4
      - 12
      - 8
    - - 3
      - 8
      - 24
      - 1
      - 2
      - 12
      - 24
      - 4
      - 4
      - 6
      - 8
      - 12
    - - 6
      - 4
      - 12
      - 2
      - 1
      - 6
      - 12
      - 2
      - 2
      - 3
      - 4
      - 6
    - - 4
      - 6
      - 2
      - 12
      - 6
      - 1
      - 2
      - 12
      - 3
      - 2
      - 6
      - 4
    - - 8
      - 12
      - 4
      - 24
      - 12
      - 2
      - 1
      - 24
      - 6
      - 4
      - 3
      - 8
    - - 12
      - 8
      - 24
      - 4
      - 2
      - 12
      - 24
      - 1
      - 4
      - 6
      - 8
      - 3
    - - 12
      - 2
      - 6
      - 4
      - 2
      - 3
      - 6
      - 4
      - 1
      - 6
      - 2
      - 12
    - - 2
      - 12
      - 4
      - 6
      - 3
      - 2
      - 4
      - 6
      - 6
      - 1
      - 12
      - 2
    - - 24
      - 4
      - 12
      - 8
      - 4
      - 6
      - 3
      - 8
      - 2
      - 12
      - 1
      - 24
    - - 4
      - 24
      - 8
      - 12
      - 6
      - 4
      - 8
      - 3
      - 12
      - 2
      - 24
      - 1
    jinv: 1203684625/243,-1567304375/729
    label: 2.2.13.1-27.1-a5
    local_data:
    - cp: 4
      kod: -6
      normp: 3
      ord_cond: 2
      ord_den_j: 2
      ord_disc: 8
      p: (-w)
      red: 0
      rootno: -1
    - cp: 6
      kod: 10
      normp: 3
      ord_cond: 1
      ord_den_j: 6
      ord_disc: 6
      p: (-w+1)
      red: 1
      rootno: -1
    minD: (729*w+2187)
    n_bad_primes: 2
    ngens: 0
    non_min_p: []
    nonmax_primes:
    - 2
    - 3
    nonmax_rad: 6
    normdisc: 4782969
    number: 5
    omega:
      __RealLiteral__: 0
      data: '18.796617019199290165601739921843840227'
      prec: 130
    potential_good_reduction: false
    q_curve: true
    rank: 0
    rank_bounds:
    - 0
    - 0
    reducible_primes:
    - 2
    - 3
    reg: 1
    root_analytic_conductor: 0.7344312887480129
    semistable: false
    sha: 1
    short_class_label: 27.1-a
    short_label: 27.1-a5
    signature:
    - 2
    - 0
    tamagawa_product: 24
    torsion_gens:
    - '[[5/4,-1/4],[3/8,-1],[1,0]]'
    - '[[2,-1],[6,-1],[1,0]]'
    torsion_order: 12
    torsion_primes:
    - 2
    - 3
    torsion_structure:
    - 2
    - 6
    trace_hash: 1527450356044515167
label_cols:
- label
labels:
- 2.2.13.1-27.1-a5
tables:
- ec_nfcurves
timestamp: '2024-05-11T08:37:48.966157'