data:
- - Lvalue:
      __RealLiteral__: 0
      data: '1.7576172972616792414526661509796323318'
      prec: 130
    abs_disc: 7
    ainvs: 1,0;0,1;1,1;7,-45;120,-280
    analytic_rank: 1
    bad_primes:
    - (w)
    - (-w+1)
    - (-2*w+3)
    - (2*w+1)
    base_change: []
    class_deg: 3
    class_label: 2.0.7.1-5324.6-a
    class_size: 2
    cm: 0
    cm_type: 0
    conductor_ideal: (-44*w+66)
    conductor_label: '5324.6'
    conductor_norm: 5324
    conductor_norm_factors:
    - 2
    - 11
    degree: 2
    disc: (-18069656*w+51057160)
    equation: '{y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-45a+7\right){x}-280a+120'
    field_label: 2.0.7.1
    galois_images:
    - 3B.1.1
    gens:
    - '[[-6,-2],[-10,14],[1,0]]'
    heights:
    - __RealLiteral__: 0
      data: '0.80471867730491031922593899297112437634'
      prec: 133
    id: 215016
    iso_label: a
    iso_nlabel: 0
    isodeg:
    - 1
    - 3
    isogeny_matrix:
    - - 1
      - 3
    - - 3
      - 1
    jinv: 64260511/681472,-531165637/1362944
    label: 2.0.7.1-5324.6-a1
    local_data:
    - cp: 1
      kod: 7
      normp: 2
      ord_cond: 1
      ord_den_j: 3
      ord_disc: 3
      p: (w)
      red: -1
      rootno: 1
    - cp: 2
      kod: 14
      normp: 2
      ord_cond: 1
      ord_den_j: 10
      ord_disc: 10
      p: (-w+1)
      red: -1
      rootno: 1
    - cp: 3
      kod: -4
      normp: 11
      ord_cond: 2
      ord_den_j: 0
      ord_disc: 8
      p: (-2*w+3)
      red: 0
      rootno: -1
    - cp: 3
      kod: 7
      normp: 11
      ord_cond: 1
      ord_den_j: 3
      ord_disc: 3
      p: (2*w+1)
      red: 1
      rootno: -1
    minD: (18069656*w-51057160)
    n_bad_primes: 4
    ngens: 1
    non_min_p: []
    nonmax_primes:
    - 3
    nonmax_rad: 3
    normdisc: 2337273205645312
    number: 1
    omega:
      __RealLiteral__: 0
      data: '0.72233601625756544665685758594971688011'
      prec: 133
    potential_good_reduction: false
    q_curve: false
    rank: 1
    rank_bounds:
    - 1
    - 1
    reducible_primes:
    - 3
    reg:
      __RealLiteral__: 0
      data: '0.80471867730491031922593899297112437634'
      prec: 133
    root_analytic_conductor: 2.0195150091296186
    semistable: false
    sha: 1
    short_class_label: 5324.6-a
    short_label: 5324.6-a1
    signature:
    - 0
    - 1
    tamagawa_product: 18
    torsion_gens:
    - '[[0,-1],[-17,11],[1,0]]'
    torsion_order: 3
    torsion_primes:
    - 3
    torsion_structure:
    - 3
    trace_hash: 1494247351150479889
label_cols:
- label
labels:
- 2.0.7.1-5324.6-a1
tables:
- ec_nfcurves
timestamp: '2024-04-24T13:12:42.153071'