data:
- - Lvalue:
      __RealLiteral__: 0
      data: '1.06644587713377'
      prec: 54
    abs_disc: 1600
    ainvs: 0,1,1/2,0;1,2,-1/2,-1/2;0,1,0,0;-69,53,57,-34;-161,22,302,-140
    analytic_rank: 0
    bad_primes:
    - (1/2*w^3-1/2*w^2-3*w)
    base_change: []
    class_deg: 12
    class_label: 4.4.1600.1-31.4-a
    class_size: 8
    cm: 0
    cm_type: 0
    conductor_ideal: (1/2*w^3-1/2*w^2-3*w)
    conductor_label: '31.4'
    conductor_norm: 31
    conductor_norm_factors:
    - 31
    degree: 4
    disc: (-17/2*w^3+5*w^2+45*w+3)
    equation: '{y}^2+\left(\frac{1}{2}a^{2}+a\right){x}{y}+a{y}={x}^{3}+\left(-\frac{1}{2}a^{3}-\frac{1}{2}a^{2}+2a+1\right){x}^{2}+\left(-34a^{3}+57a^{2}+53a-69\right){x}-140a^{3}+302a^{2}+22a-161'
    field_label: 4.4.1600.1
    galois_images:
    - 2B
    - 3B
    gens: []
    heights: []
    id: 556621
    iso_label: a
    iso_nlabel: 0
    isodeg:
    - 1
    - 2
    - 3
    - 4
    - 6
    - 12
    isogeny_matrix:
    - - 1
      - 12
      - 4
      - 6
      - 3
      - 12
      - 2
      - 4
    - - 12
      - 1
      - 12
      - 2
      - 4
      - 4
      - 6
      - 3
    - - 4
      - 12
      - 1
      - 6
      - 12
      - 3
      - 2
      - 4
    - - 6
      - 2
      - 6
      - 1
      - 2
      - 2
      - 3
      - 6
    - - 3
      - 4
      - 12
      - 2
      - 1
      - 4
      - 6
      - 12
    - - 12
      - 4
      - 3
      - 2
      - 4
      - 1
      - 6
      - 12
    - - 2
      - 6
      - 2
      - 3
      - 6
      - 6
      - 1
      - 2
    - - 4
      - 3
      - 4
      - 6
      - 12
      - 12
      - 2
      - 1
    jinv: -441577709639777226006/923521,-192976118760042249464/923521,1156066776906178179193/1847042,505219547793146787969/1847042
    label: 4.4.1600.1-31.4-a1
    local_data:
    - cp: 2
      kod: 8
      normp: 31
      ord_cond: 1
      ord_den_j: 4
      ord_disc: 4
      p: (1/2*w^3-1/2*w^2-3*w)
      red: -1
      rootno: 1
    minD: (17/2*w^3-5*w^2-45*w-3)
    n_bad_primes: 1
    ngens: 0
    non_min_p: []
    nonmax_primes:
    - 2
    - 3
    nonmax_rad: 6
    normdisc: -923521
    number: 1
    omega:
      __RealLiteral__: 0
      data: '21.328917542675473882006677158657403896'
      prec: 130
    potential_good_reduction: false
    q_curve: false
    rank: 0
    rank_bounds:
    - 0
    - 0
    reducible_primes:
    - 2
    - 3
    reg: 1
    root_analytic_conductor: 5.4905867358050555
    semistable: true
    sha: 4
    short_class_label: 31.4-a
    short_label: 31.4-a1
    signature:
    - 4
    - 0
    tamagawa_product: 2
    torsion_gens:
    - '[[-19/4,4,-1/8,-3/4],[-13/8,9/8,13/8,3/16],[1,0,0,0]]'
    torsion_order: 2
    torsion_primes:
    - 2
    torsion_structure:
    - 2
    trace_hash: 2070320677332490293
label_cols:
- label
labels:
- 4.4.1600.1-31.4-a1
tables:
- ec_nfcurves
timestamp: '2024-05-21T13:23:15.696490'