data:
- - Lvalue:
      __RealLiteral__: 0
      data: '2.2407793279519221990140220113418871614'
      prec: 130
    abs_disc: 7
    ainvs: 1,0;0,-1;0,0;46,16;160,-130
    analytic_rank: 0
    bad_primes:
    - (w)
    - (-w+1)
    - (-2*w+3)
    - (2*w+1)
    base_change: []
    class_deg: 4
    class_label: 2.0.7.1-5324.7-e
    class_size: 4
    cm: 0
    cm_type: 0
    conductor_ideal: (44*w+22)
    conductor_label: '5324.7'
    conductor_norm: 5324
    conductor_norm_factors:
    - 2
    - 11
    degree: 2
    disc: (15818*w-88044)
    equation: '{y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(16a+46\right){x}-130a+160'
    field_label: 2.0.7.1
    galois_images:
    - 2B
    gens: []
    heights: []
    id: 215053
    iso_label: e
    iso_nlabel: 4
    isodeg:
    - 1
    - 2
    - 4
    isogeny_matrix:
    - - 1
      - 2
      - 2
      - 2
    - - 2
      - 1
      - 4
      - 4
    - - 2
      - 4
      - 1
      - 4
    - - 2
      - 4
      - 4
      - 1
    jinv: -7276683/176,34643161/176
    label: 2.0.7.1-5324.7-e4
    local_data:
    - cp: 4
      kod: 8
      normp: 2
      ord_cond: 1
      ord_den_j: 4
      ord_disc: 4
      p: (w)
      red: 1
      rootno: -1
    - cp: 1
      kod: 5
      normp: 2
      ord_cond: 1
      ord_den_j: 1
      ord_disc: 1
      p: (-w+1)
      red: -1
      rootno: 1
    - cp: 1
      kod: 5
      normp: 11
      ord_cond: 1
      ord_den_j: 1
      ord_disc: 1
      p: (-2*w+3)
      red: 1
      rootno: -1
    - cp: 2
      kod: -5
      normp: 11
      ord_cond: 2
      ord_den_j: 1
      ord_disc: 7
      p: (2*w+1)
      red: 0
      rootno: -1
    minD: (15818*w-88044)
    n_bad_primes: 4
    ngens: 0
    non_min_p: []
    nonmax_primes:
    - 2
    nonmax_rad: 2
    normdisc: 6859484192
    number: 4
    omega:
      __RealLiteral__: 0
      data: '1.4821362111838075907468950004222367188'
      prec: 130
    potential_good_reduction: false
    q_curve: true
    rank: 0
    rank_bounds:
    - 0
    - 0
    reducible_primes:
    - 2
    reg: 1
    root_analytic_conductor: 2.0195150091296186
    semistable: false
    sha: 1
    short_class_label: 5324.7-e
    short_label: 5324.7-e4
    signature:
    - 0
    - 1
    tamagawa_product: 8
    torsion_gens:
    - '[[-5/2,15/4],[5/4,-15/8],[1,0]]'
    torsion_order: 2
    torsion_primes:
    - 2
    torsion_structure:
    - 2
    trace_hash: 1023934528233626813
label_cols:
- label
labels:
- 2.0.7.1-5324.7-e4
tables:
- ec_nfcurves
timestamp: '2024-04-23T12:02:03.261441'