data:
- - Lvalue:
      __RealLiteral__: 0
      data: '2.0354879952694162314599044639643432294'
      prec: 130
    abs_disc: 12
    ainvs: 0,0;0,0;0,0;-50,0;125,0
    analytic_rank: 0
    bad_primes:
    - (w+1)
    - (5)
    base_change:
    - 200.c3
    - 3600.h3
    class_deg: 4
    class_label: 2.2.12.1-5000.1-e
    class_size: 4
    cm: 0
    cm_type: 0
    conductor_ideal: (50*w+50)
    conductor_label: '5000.1'
    conductor_norm: 5000
    conductor_norm_factors:
    - 2
    - 5
    degree: 2
    disc: (1250000)
    equation: '{y}^2={x}^{3}-50{x}+125'
    field_label: 2.2.12.1
    galois_images:
    - 2B
    gens: []
    heights: []
    id: 375206
    iso_label: e
    iso_nlabel: 4
    isodeg:
    - 1
    - 2
    - 4
    isogeny_matrix:
    - - 1
      - 2
      - 4
      - 4
    - - 2
      - 1
      - 2
      - 2
    - - 4
      - 2
      - 1
      - 4
    - - 4
      - 2
      - 4
      - 1
    jinv: 55296/5,0
    label: 2.2.12.1-5000.1-e3
    local_data:
    - cp: 4
      kod: -5
      normp: 2
      ord_cond: 3
      ord_den_j: 0
      ord_disc: 8
      p: (w+1)
      red: 0
      rootno: 1
    - cp: 4
      kod: -5
      normp: 25
      ord_cond: 2
      ord_den_j: 1
      ord_disc: 7
      p: (5)
      red: 0
      rootno: 1
    minD: (1250000)
    n_bad_primes: 2
    ngens: 0
    non_min_p: []
    nonmax_primes:
    - 2
    nonmax_rad: 2
    normdisc: 1562500000000
    number: 3
    omega:
      __RealLiteral__: 0
      data: '7.0511372520062949357509986453589820595'
      prec: 130
    potential_good_reduction: false
    q_curve: true
    rank: 0
    rank_bounds:
    - 0
    - 0
    reducible_primes:
    - 2
    reg: 1
    root_analytic_conductor: 2.6029850729434325
    semistable: false
    sha: 1
    short_class_label: 5000.1-e
    short_label: 5000.1-e3
    signature:
    - 2
    - 0
    tamagawa_product: 16
    torsion_gens:
    - '[[10,0],[-25,0],[1,0]]'
    torsion_order: 4
    torsion_primes:
    - 2
    torsion_structure:
    - 4
    trace_hash: 157557570358336670
label_cols:
- label
labels:
- 2.2.12.1-5000.1-e3
tables:
- ec_nfcurves
timestamp: '2024-05-11T10:07:32.612307'