data:
- - Lvalue:
      __RealLiteral__: 0
      data: '2.81038060887703'
      prec: 54
    abs_disc: 725
    ainvs: 1,-2,-1,1;0,3,0,-1;0,1,0,0;1,1,-1,0;0,0,0,0
    analytic_rank: 1
    bad_primes:
    - (-w^3-3*w^2+8)
    base_change: []
    class_deg: 2
    class_label: 4.4.725.1-3169.1-b
    class_size: 2
    cm: 0
    cm_type: 0
    conductor_ideal: (-w^3-3*w^2+8)
    conductor_label: '3169.1'
    conductor_norm: 3169
    conductor_norm_factors:
    - 3169
    degree: 4
    disc: (-5*w^3+7*w^2+12*w-1)
    equation: '{y}^2+\left(a^{3}-a^{2}-2a+1\right){x}{y}+a{y}={x}^{3}+\left(-a^{3}+3a\right){x}^{2}+\left(-a^{2}+a+1\right){x}'
    field_label: 4.4.725.1
    galois_images:
    - 2B
    gens:
    - '[[1,-2,-1,1],[0,-1,0,0],[1,0,0,0]]'
    heights:
    - __RealLiteral__: 0
      data: '0.038571329856688113857415227617945202064'
      prec: 137
    id: 620814
    iso_label: b
    iso_nlabel: 1
    isodeg:
    - 1
    - 2
    isogeny_matrix:
    - - 1
      - 2
    - - 2
      - 1
    jinv: 6495478/3169,3082469/3169,5992969/3169,2653932/3169
    label: 4.4.725.1-3169.1-b2
    local_data:
    - cp: 1
      kod: 5
      normp: 3169
      ord_cond: 1
      ord_den_j: 1
      ord_disc: 1
      p: (-w^3-3*w^2+8)
      red: 1
      rootno: -1
    minD: (-w^3-3*w^2+8)
    n_bad_primes: 1
    ngens: 1
    non_min_p: []
    nonmax_primes:
    - 2
    nonmax_rad: 2
    normdisc: 3169
    number: 2
    omega:
      __RealLiteral__: 0
      data: '1961.8668588572914538766656715505601345'
      prec: 130
    potential_good_reduction: false
    q_curve: false
    rank: 1
    rank_bounds:
    - 1
    - 1
    reducible_primes:
    - 2
    reg:
      __RealLiteral__: 0
      data: '0.038571329856688113857415227617945202064'
      prec: 137
    root_analytic_conductor: 6.590567868708442
    semistable: true
    sha: 1
    short_class_label: 3169.1-b
    short_label: 3169.1-b2
    signature:
    - 4
    - 0
    tamagawa_product: 1
    torsion_gens:
    - '[[-1,-1,1,0],[0,-1,0,0],[1,0,0,0]]'
    torsion_order: 2
    torsion_primes:
    - 2
    torsion_structure:
    - 2
    trace_hash: 2257271811634391025
label_cols:
- label
labels:
- 4.4.725.1-3169.1-b2
tables:
- ec_nfcurves
timestamp: '2024-04-20T03:18:50.139527'