data:
- - Lvalue:
      __RealLiteral__: 0
      data: '5.2523252588870677011607845161704052193'
      prec: 130
    abs_disc: 7
    ainvs: 0,0;1,-1;0,0;-23,21;51,-105
    analytic_rank: 1
    bad_primes:
    - (w)
    - (-w+1)
    - (-2*w+1)
    base_change: []
    class_deg: 8
    class_label: 2.0.7.1-28672.7-w
    class_size: 6
    cm: 0
    cm_type: 0
    conductor_ideal: (-128*w+64)
    conductor_label: '28672.7'
    conductor_norm: 28672
    conductor_norm_factors:
    - 2
    - 7
    degree: 2
    disc: (-655360*w+8126464)
    equation: '{y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(21a-23\right){x}-105a+51'
    field_label: 2.0.7.1
    galois_images:
    - 2B
    gens:
    - '[[-25,-9],[-160,112],[1,0]]'
    heights:
    - __RealLiteral__: 0
      data: '0.88767652024368524000685576917317565183'
      prec: 133
    id: 248081
    iso_label: w
    iso_nlabel: 22
    isodeg:
    - 1
    - 2
    - 4
    - 8
    isogeny_matrix:
    - - 1
      - 8
      - 2
      - 8
      - 4
      - 4
    - - 8
      - 1
      - 4
      - 4
      - 8
      - 2
    - - 2
      - 4
      - 1
      - 4
      - 2
      - 2
    - - 8
      - 4
      - 4
      - 1
      - 8
      - 2
    - - 4
      - 8
      - 2
      - 8
      - 1
      - 4
    - - 4
      - 2
      - 2
      - 2
      - 4
      - 1
    jinv: -774199/1792,138325/1792
    label: 2.0.7.1-28672.7-w5
    local_data:
    - cp: 4
      kod: -20
      normp: 2
      ord_cond: 6
      ord_den_j: 8
      ord_disc: 26
      p: (w)
      red: 0
      rootno: -1
    - cp: 4
      kod: -11
      normp: 2
      ord_cond: 6
      ord_den_j: 0
      ord_disc: 17
      p: (-w+1)
      red: 0
      rootno: 1
    - cp: 1
      kod: 5
      normp: 7
      ord_cond: 1
      ord_den_j: 1
      ord_disc: 1
      p: (-2*w+1)
      red: 1
      rootno: -1
    minD: (655360*w-8126464)
    n_bad_primes: 3
    ngens: 1
    non_min_p: []
    nonmax_primes:
    - 2
    nonmax_rad: 2
    normdisc: 61572651155456
    number: 5
    omega:
      __RealLiteral__: 0
      data: '0.97842134232800924535701604973897076037'
      prec: 133
    potential_good_reduction: false
    q_curve: false
    rank: 1
    rank_bounds:
    - 1
    - 1
    reducible_primes:
    - 2
    reg:
      __RealLiteral__: 0
      data: '0.88767652024368524000685576917317565183'
      prec: 133
    root_analytic_conductor: 3.076465650952455
    semistable: false
    sha: 1
    short_class_label: 28672.7-w
    short_label: 28672.7-w5
    signature:
    - 0
    - 1
    tamagawa_product: 16
    torsion_gens:
    - '[[3,-3],[0,0],[1,0]]'
    torsion_order: 2
    torsion_primes:
    - 2
    torsion_structure:
    - 2
    trace_hash: 728427423930337062
label_cols:
- label
labels:
- 2.0.7.1-28672.7-w5
tables:
- ec_nfcurves
timestamp: '2024-05-03T19:01:26.152064'