data:
- - Lvalue:
      __RealLiteral__: 0
      data: '8.3775841040456309788117212499917469207'
      prec: 130
    abs_disc: 57
    ainvs: 1,0;0,-1;0,1;-6745970,-2059892;10278231250,3138470553
    analytic_rank: 0
    bad_primes:
    - (w-4)
    - (w+3)
    - (2*w+7)
    - (-2*w+9)
    base_change:
    - 5054.c2
    - 126.b2
    class_deg: 18
    class_label: 2.2.57.1-196.1-e
    class_size: 6
    cm: 0
    cm_type: 0
    conductor_ideal: (14)
    conductor_label: '196.1'
    conductor_norm: 196
    conductor_norm_factors:
    - 2
    - 7
    degree: 2
    disc: (-1835008)
    equation: '{y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-2059892a-6745970\right){x}+3138470553a+10278231250'
    field_label: 2.2.57.1
    galois_images:
    - 2B
    - 3B.1.1
    gens: []
    heights: []
    id: 459662
    iso_label: e
    iso_nlabel: 4
    isodeg:
    - 1
    - 2
    - 3
    - 6
    - 9
    - 18
    isogeny_matrix:
    - - 1
      - 9
      - 3
      - 6
      - 18
      - 2
    - - 9
      - 1
      - 3
      - 6
      - 2
      - 18
    - - 3
      - 3
      - 1
      - 2
      - 6
      - 6
    - - 6
      - 6
      - 2
      - 1
      - 3
      - 3
    - - 18
      - 2
      - 6
      - 3
      - 1
      - 9
    - - 2
      - 18
      - 6
      - 3
      - 9
      - 1
    jinv: -548347731625/1835008,0
    label: 2.2.57.1-196.1-e1
    local_data:
    - cp: 18
      kod: 22
      normp: 2
      ord_cond: 1
      ord_den_j: 18
      ord_disc: 18
      p: (w-4)
      red: 1
      rootno: -1
    - cp: 18
      kod: 22
      normp: 2
      ord_cond: 1
      ord_den_j: 18
      ord_disc: 18
      p: (w+3)
      red: 1
      rootno: -1
    - cp: 1
      kod: 5
      normp: 7
      ord_cond: 1
      ord_den_j: 1
      ord_disc: 1
      p: (2*w+7)
      red: 1
      rootno: -1
    - cp: 1
      kod: 5
      normp: 7
      ord_cond: 1
      ord_den_j: 1
      ord_disc: 1
      p: (-2*w+9)
      red: 1
      rootno: -1
    minD: (1835008)
    n_bad_primes: 4
    ngens: 0
    non_min_p: []
    nonmax_primes:
    - 2
    - 3
    nonmax_rad: 6
    normdisc: 3367254360064
    number: 1
    omega:
      __RealLiteral__: 0
      data: '7.0277081059000617705423007125374356140'
      prec: 130
    potential_good_reduction: false
    q_curve: true
    rank: 0
    rank_bounds:
    - 0
    - 0
    reducible_primes:
    - 2
    - 3
    reg: 1
    root_analytic_conductor: 2.524294372948246
    semistable: true
    sha: 1
    short_class_label: 196.1-e
    short_label: 196.1-e1
    signature:
    - 2
    - 0
    tamagawa_product: 324
    torsion_gens:
    - '[[1168,357],[15188,4637],[1,0]]'
    torsion_order: 6
    torsion_primes:
    - 2
    - 3
    torsion_structure:
    - 6
    trace_hash: 1712187066148252811
label_cols:
- label
labels:
- 2.2.57.1-196.1-e1
tables:
- ec_nfcurves
timestamp: '2024-04-19T21:40:29.895462'