data:
- - Lvalue:
      __RealLiteral__: 0
      data: '1.1283988117225933095400133007458368240'
      prec: 130
    abs_disc: 5
    ainvs: 1,0;-1,0;0,0;-29,0;-52,0
    analytic_rank: 1
    bad_primes:
    - (-2*w+1)
    - (-3*w+2)
    - (-3*w+1)
    base_change:
    - 55.a2
    - 275.a2
    class_deg: 8
    class_label: 2.2.5.1-605.1-c
    class_size: 6
    cm: 0
    cm_type: 0
    conductor_ideal: (-22*w+11)
    conductor_label: '605.1'
    conductor_norm: 605
    conductor_norm_factors:
    - 5
    - 11
    degree: 2
    disc: (73205)
    equation: '{y}^2+{x}{y}={x}^{3}-{x}^{2}-29{x}-52'
    field_label: 2.2.5.1
    galois_images:
    - 2Cs
    gens:
    - '[[7,-6],[-24,15],[1,0]]'
    heights:
    - __RealLiteral__: 0
      data: '0.59612262310663940712038741071359873429'
      prec: 133
    id: 445024
    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: 2749884201/73205,0
    label: 2.2.5.1-605.1-c4
    local_data:
    - cp: 2
      kod: 6
      normp: 5
      ord_cond: 1
      ord_den_j: 2
      ord_disc: 2
      p: (-2*w+1)
      red: 1
      rootno: -1
    - cp: 2
      kod: 8
      normp: 11
      ord_cond: 1
      ord_den_j: 4
      ord_disc: 4
      p: (-3*w+2)
      red: -1
      rootno: 1
    - cp: 2
      kod: 8
      normp: 11
      ord_cond: 1
      ord_den_j: 4
      ord_disc: 4
      p: (-3*w+1)
      red: -1
      rootno: 1
    minD: (73205)
    n_bad_primes: 3
    ngens: 1
    non_min_p: []
    nonmax_primes:
    - 2
    nonmax_rad: 2
    normdisc: 5358972025
    number: 4
    omega:
      __RealLiteral__: 0
      data: '4.2326466920386248662921682431873737557'
      prec: 130
    potential_good_reduction: false
    q_curve: true
    rank: 1
    rank_bounds:
    - 1
    - 1
    reducible_primes:
    - 2
    reg:
      __RealLiteral__: 0
      data: '0.59612262310663940712038741071359873429'
      prec: 133
    root_analytic_conductor: 0.9909743176422298
    semistable: true
    sha: 1
    short_class_label: 605.1-c
    short_label: 605.1-c4
    signature:
    - 2
    - 0
    tamagawa_product: 8
    torsion_gens:
    - '[[-13/4,0],[13/8,0],[1,0]]'
    - '[[4,-4],[-2,2],[1,0]]'
    torsion_order: 4
    torsion_primes:
    - 2
    torsion_structure:
    - 2
    - 2
    trace_hash: 628263125298814485
label_cols:
- label
labels:
- 2.2.5.1-605.1-c4
tables:
- ec_nfcurves
timestamp: '2024-04-20T12:37:34.411544'