data:
- - Lvalue:
      __RealLiteral__: 0
      data: '2.6696581664282261416455494021480973601'
      prec: 130
    abs_disc: 7
    ainvs: 1,0;1,0;0,0;-226,0;-1406,0
    analytic_rank: 1
    bad_primes:
    - (w)
    - (-w+1)
    - (-2*w+1)
    - (-2*w+3)
    - (2*w+1)
    - (3)
    base_change:
    - 462.a1
    - 3234.n1
    class_deg: 4
    class_label: 2.0.7.1-30492.5-f
    class_size: 4
    cm: 0
    cm_type: 0
    conductor_ideal: (-132*w+66)
    conductor_label: '30492.5'
    conductor_norm: 30492
    conductor_norm_factors:
    - 2
    - 3
    - 7
    - 11
    degree: 2
    disc: (614922)
    equation: '{y}^2+{x}{y}={x}^{3}+{x}^{2}-226{x}-1406'
    field_label: 2.0.7.1
    galois_images:
    - 2B
    gens:
    - '[[-9,-2],[20,-2],[1,0]]'
    heights:
    - __RealLiteral__: 0
      data: '0.25170205792959537481721288850241219968'
      prec: 133
    id: 250705
    iso_label: f
    iso_nlabel: 5
    isodeg:
    - 1
    - 2
    - 4
    isogeny_matrix:
    - - 1
      - 2
      - 4
      - 4
    - - 2
      - 1
      - 2
      - 2
    - - 4
      - 2
      - 1
      - 4
    - - 4
      - 2
      - 4
      - 1
    jinv: 1285429208617/614922,0
    label: 2.0.7.1-30492.5-f4
    local_data:
    - cp: 1
      kod: 5
      normp: 2
      ord_cond: 1
      ord_den_j: 1
      ord_disc: 1
      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: 2
      kod: 6
      normp: 7
      ord_cond: 1
      ord_den_j: 2
      ord_disc: 2
      p: (-2*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: 4
      kod: 8
      normp: 11
      ord_cond: 1
      ord_den_j: 4
      ord_disc: 4
      p: (2*w+1)
      red: 1
      rootno: -1
    - cp: 1
      kod: 5
      normp: 9
      ord_cond: 1
      ord_den_j: 1
      ord_disc: 1
      p: (3)
      red: 1
      rootno: -1
    minD: (614922)
    n_bad_primes: 6
    ngens: 1
    non_min_p: []
    nonmax_primes:
    - 2
    nonmax_rad: 2
    normdisc: 378129066084
    number: 4
    omega:
      __RealLiteral__: 0
      data: '0.87693606530541628242483848627380241633'
      prec: 133
    potential_good_reduction: false
    q_curve: true
    rank: 1
    rank_bounds:
    - 1
    - 1
    reducible_primes:
    - 2
    reg:
      __RealLiteral__: 0
      data: '0.25170205792959537481721288850241219968'
      prec: 133
    root_analytic_conductor: 3.1241656373601385
    semistable: true
    sha: 1
    short_class_label: 30492.5-f
    short_label: 30492.5-f4
    signature:
    - 0
    - 1
    tamagawa_product: 32
    torsion_gens:
    - '[[-37/4,0],[37/8,0],[1,0]]'
    torsion_order: 2
    torsion_primes:
    - 2
    torsion_structure:
    - 2
    trace_hash: 1792216459053026927
label_cols:
- label
labels:
- 2.0.7.1-30492.5-f4
tables:
- ec_nfcurves
timestamp: '2024-04-25T15:06:47.286076'