data:
- - Lvalue:
      __RealLiteral__: 0
      data: '1.0227503266917307652735935406350909501'
      prec: 130
    abs_disc: 7
    ainvs: 0,1;0,-1;0,0;527,92;-3163,3344
    analytic_rank: 0
    bad_primes:
    - (w)
    - (-w+1)
    - (-2*w+3)
    - (2*w+1)
    base_change: []
    class_deg: 8
    class_label: 2.0.7.1-15488.5-c
    class_size: 6
    cm: 0
    cm_type: 0
    conductor_ideal: (-22*w+132)
    conductor_label: '15488.5'
    conductor_norm: 15488
    conductor_norm_factors:
    - 2
    - 11
    degree: 2
    disc: (-1546321920*w-1126039552)
    equation: '{y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\left(92a+527\right){x}+3344a-3163'
    field_label: 2.0.7.1
    galois_images:
    - 2Cs
    gens: []
    heights: []
    id: 229704
    iso_label: c
    iso_nlabel: 2
    isodeg:
    - 1
    - 2
    - 4
    isogeny_matrix:
    - - 1
      - 8
      - 4
      - 2
      - 8
      - 4
    - - 8
      - 1
      - 2
      - 4
      - 4
      - 8
    - - 4
      - 2
      - 1
      - 2
      - 2
      - 4
    - - 2
      - 4
      - 2
      - 1
      - 4
      - 2
    - - 8
      - 4
      - 2
      - 4
      - 1
      - 8
    - - 4
      - 8
      - 4
      - 2
      - 8
      - 1
    jinv: 4028870229625/479756288,-1133731711875/959512576
    label: 2.0.7.1-15488.5-c4
    local_data:
    - cp: 4
      kod: -20
      normp: 2
      ord_cond: 6
      ord_den_j: 8
      ord_disc: 26
      p: (w)
      red: 0
      rootno: -1
    - cp: 2
      kod: 20
      normp: 2
      ord_cond: 1
      ord_den_j: 16
      ord_disc: 16
      p: (-w+1)
      red: -1
      rootno: 1
    - cp: 4
      kod: 8
      normp: 11
      ord_cond: 1
      ord_den_j: 4
      ord_disc: 4
      p: (-2*w+3)
      red: 1
      rootno: -1
    - cp: 2
      kod: 6
      normp: 11
      ord_cond: 1
      ord_den_j: 2
      ord_disc: 2
      p: (2*w+1)
      red: 1
      rootno: -1
    minD: (-1546321920*w-1126039552)
    n_bad_primes: 4
    ngens: 0
    non_min_p: []
    nonmax_primes:
    - 2
    nonmax_rad: 2
    normdisc: 7791407675257913344
    number: 4
    omega:
      __RealLiteral__: 0
      data: '0.33824287721704812657729783724685861348'
      prec: 133
    potential_good_reduction: false
    q_curve: true
    rank: 0
    rank_bounds:
    - 0
    - 0
    reducible_primes:
    - 2
    reg: 1
    root_analytic_conductor: 2.6374631986750883
    semistable: false
    sha: 1
    short_class_label: 15488.5-c
    short_label: 15488.5-c4
    signature:
    - 0
    - 1
    tamagawa_product: 64
    torsion_gens:
    - '[[-13,21],[21,-4],[1,0]]'
    - '[[9/2,-29/4],[-29/4,11/8],[1,0]]'
    torsion_order: 4
    torsion_primes:
    - 2
    torsion_structure:
    - 2
    - 2
    trace_hash: 1153295699918767814
label_cols:
- label
labels:
- 2.0.7.1-15488.5-c4
tables:
- ec_nfcurves
timestamp: '2024-04-25T01:47:33.646176'