data:
- - Lvalue:
      __RealLiteral__: 0
      data: '3.4276844601643616795688378653162207061'
      prec: 130
    abs_disc: 7
    ainvs: 1,0;1,0;0,1;140,157;-654,3795
    analytic_rank: 1
    bad_primes:
    - (w)
    - (-w+1)
    - (-2*w+3)
    - (2*w+1)
    base_change: []
    class_deg: 8
    class_label: 2.0.7.1-5324.7-c
    class_size: 6
    cm: 0
    cm_type: 0
    conductor_ideal: (44*w+22)
    conductor_label: '5324.7'
    conductor_norm: 5324
    conductor_norm_factors:
    - 2
    - 11
    degree: 2
    disc: (-4715165840*w+13453958496)
    equation: '{y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(157a+140\right){x}+3795a-654'
    field_label: 2.0.7.1
    galois_images:
    - 2B
    gens:
    - '[[-9,-8],[-69,27],[1,0]]'
    heights:
    - __RealLiteral__: 0
      data: '1.9649547880934907917451351156109314591'
      prec: 130
    id: 215038
    iso_label: c
    iso_nlabel: 2
    isodeg:
    - 1
    - 2
    - 4
    - 8
    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: 132554493440375/519691042816,-31504873455125/519691042816
    label: 2.0.7.1-5324.7-c1
    local_data:
    - cp: 2
      kod: 36
      normp: 2
      ord_cond: 1
      ord_den_j: 32
      ord_disc: 32
      p: (w)
      red: -1
      rootno: 1
    - cp: 4
      kod: 8
      normp: 2
      ord_cond: 1
      ord_den_j: 4
      ord_disc: 4
      p: (-w+1)
      red: 1
      rootno: -1
    - cp: 1
      kod: 5
      normp: 11
      ord_cond: 1
      ord_den_j: 1
      ord_disc: 1
      p: (-2*w+3)
      red: -1
      rootno: 1
    - cp: 2
      kod: -6
      normp: 11
      ord_cond: 2
      ord_den_j: 2
      ord_disc: 8
      p: (2*w+1)
      red: 0
      rootno: -1
    minD: (4715165840*w-13453958496)
    n_bad_primes: 4
    ngens: 1
    non_min_p: []
    nonmax_primes:
    - 2
    nonmax_rad: 2
    normdisc: 162036931496379416576
    number: 1
    omega:
      __RealLiteral__: 0
      data: '0.28845449489942977783298464810349974858'
      prec: 133
    potential_good_reduction: false
    q_curve: true
    rank: 1
    rank_bounds:
    - 1
    - 1
    reducible_primes:
    - 2
    reg:
      __RealLiteral__: 0
      data: '1.9649547880934907917451351156109314591'
      prec: 130
    root_analytic_conductor: 2.0195150091296186
    semistable: false
    sha: 1
    short_class_label: 5324.7-c
    short_label: 5324.7-c1
    signature:
    - 0
    - 1
    tamagawa_product: 16
    torsion_gens:
    - '[[-17/2,-17/4],[17/4,13/8],[1,0]]'
    torsion_order: 2
    torsion_primes:
    - 2
    torsion_structure:
    - 2
    trace_hash: 1686367337376013592
label_cols:
- label
labels:
- 2.0.7.1-5324.7-c1
tables:
- ec_nfcurves
timestamp: '2024-04-16T05:33:32.148232'