data:
- - Lvalue:
      __RealLiteral__: 0
      data: '1.0494342897002097593905588480337875671'
      prec: 130
    abs_disc: 3
    ainvs: 0,0;0,-1;0,0;-1,1;0,0
    analytic_rank: 0
    bad_primes:
    - (-2*w+1)
    - (2)
    base_change:
    - 144.b5
    - 48.a5
    class_deg: 16
    class_label: 2.0.3.1-768.1-a
    class_size: 8
    cm: 0
    cm_type: 0
    conductor_ideal: (-32*w+16)
    conductor_label: '768.1'
    conductor_norm: 768
    conductor_norm_factors:
    - 2
    - 3
    degree: 2
    disc: (-48)
    equation: '{y}^2={x}^{3}-a{x}^{2}+\left(a-1\right){x}'
    field_label: 2.0.3.1
    galois_images:
    - 2Cs
    gens: []
    heights: []
    id: 56945
    iso_label: a
    iso_nlabel: 0
    isodeg:
    - 1
    - 2
    - 4
    - 8
    isogeny_matrix:
    - - 1
      - 4
      - 16
      - 2
      - 4
      - 8
      - 8
      - 16
    - - 4
      - 1
      - 16
      - 2
      - 4
      - 8
      - 8
      - 16
    - - 16
      - 16
      - 1
      - 8
      - 4
      - 2
      - 8
      - 4
    - - 2
      - 2
      - 8
      - 1
      - 2
      - 4
      - 4
      - 8
    - - 4
      - 4
      - 4
      - 2
      - 1
      - 2
      - 2
      - 4
    - - 8
      - 8
      - 2
      - 4
      - 2
      - 1
      - 4
      - 2
    - - 8
      - 8
      - 8
      - 4
      - 2
      - 4
      - 1
      - 8
    - - 16
      - 16
      - 4
      - 8
      - 4
      - 2
      - 8
      - 1
    jinv: 2048/3,0
    label: 2.0.3.1-768.1-a4
    local_data:
    - cp: 2
      kod: 6
      normp: 3
      ord_cond: 1
      ord_den_j: 2
      ord_disc: 2
      p: (-2*w+1)
      red: 1
      rootno: -1
    - cp: 1
      kod: 2
      normp: 4
      ord_cond: 4
      ord_den_j: 0
      ord_disc: 4
      p: (2)
      red: 0
      rootno: 1
    minD: (48)
    n_bad_primes: 2
    ngens: 0
    non_min_p: []
    nonmax_primes:
    - 2
    nonmax_rad: 2
    normdisc: 2304
    number: 4
    omega:
      __RealLiteral__: 0
      data: '7.2706940358628777611249866685015359951'
      prec: 130
    potential_good_reduction: false
    q_curve: true
    rank: 0
    rank_bounds:
    - 0
    - 0
    reducible_primes:
    - 2
    reg: 1
    root_analytic_conductor: 0.8147783599649414
    semistable: false
    sha: 1
    short_class_label: 768.1-a
    short_label: 768.1-a4
    signature:
    - 0
    - 1
    tamagawa_product: 2
    torsion_gens:
    - '[[-1,1],[0,0],[1,0]]'
    - '[[0,0],[0,0],[1,0]]'
    torsion_order: 4
    torsion_primes:
    - 2
    torsion_structure:
    - 2
    - 2
    trace_hash: 586131108562034517
label_cols:
- label
labels:
- 2.0.3.1-768.1-a4
tables:
- ec_nfcurves
timestamp: '2024-05-17T09:55:27.877699'