data:
- - Lvalue:
      __RealLiteral__: 0
      data: '1.3709587240849577178389482212994134322'
      prec: 130
    abs_disc: 105
    ainvs: 0,1;0,0;0,0;-28964182,-6264593;41234755600,8918562808
    analytic_rank: 1
    bad_primes:
    - (3,w+1)
    - (2*w-11)
    base_change:
    - 735.c5
    - 225.b5
    class_deg: 16
    class_label: 2.2.105.1-15.1-a
    class_size: 8
    cm: 0
    cm_type: 0
    conductor_ideal: (15,w+7)
    conductor_label: '15.1'
    conductor_norm: 15
    conductor_norm_factors:
    - 3
    - 5
    degree: 2
    disc: (-961875*w+6378750)
    equation: '{y}^2+a{x}{y}={x}^{3}+\left(-6264593a-28964182\right){x}+8918562808a+41234755600'
    field_label: 2.2.105.1
    galois_images:
    - 2Cs
    gens:
    - '[[-2762,-597],[235770,50995],[1,0]]'
    heights:
    - __RealLiteral__: 0
      data: '0.68917807682408915531347428854279365523'
      prec: 133
    id: 349028
    iso_label: a
    iso_nlabel: 0
    isodeg:
    - 1
    - 2
    - 4
    isogeny_matrix:
    - - 1
      - 16
      - 8
      - 4
      - 8
      - 2
      - 16
      - 4
    - - 16
      - 1
      - 8
      - 4
      - 2
      - 8
      - 4
      - 16
    - - 8
      - 8
      - 1
      - 2
      - 4
      - 4
      - 8
      - 8
    - - 4
      - 4
      - 2
      - 1
      - 2
      - 2
      - 4
      - 4
    - - 8
      - 2
      - 4
      - 2
      - 1
      - 4
      - 2
      - 8
    - - 2
      - 8
      - 4
      - 2
      - 4
      - 1
      - 8
      - 2
    - - 16
      - 4
      - 8
      - 4
      - 2
      - 8
      - 1
      - 16
    - - 4
      - 16
      - 8
      - 4
      - 8
      - 2
      - 16
      - 1
    jinv: 111284641/50625,0
    label: 2.2.105.1-15.1-a4
    local_data:
    - cp: 1
      kod: 1
      normp: 2
      ord_cond: 0
      ord_den_j: 0
      ord_disc: 0
      p: (2,w)
      red: null
      rootno: 1
    - cp: 8
      kod: 12
      normp: 3
      ord_cond: 1
      ord_den_j: 8
      ord_disc: 8
      p: (3,w+1)
      red: 1
      rootno: -1
    - cp: 2
      kod: 12
      normp: 5
      ord_cond: 1
      ord_den_j: 8
      ord_disc: 8
      p: (2*w-11)
      red: -1
      rootno: 1
    minD: (50625)
    n_bad_primes: 2
    ngens: 1
    non_min_p:
    - (2,w)
    nonmax_primes:
    - 2
    nonmax_rad: 2
    normdisc: 10497600000000
    number: 4
    omega:
      __RealLiteral__: 0
      data: '10.191956926864856360574667107766048810'
      prec: 130
    potential_good_reduction: false
    q_curve: true
    rank: 1
    rank_bounds:
    - 1
    - 1
    reducible_primes:
    - 2
    reg:
      __RealLiteral__: 0
      data: '0.68917807682408915531347428854279365523'
      prec: 133
    root_analytic_conductor: 1.8020051084200772
    semistable: true
    sha: 1
    short_class_label: 15.1-a
    short_label: 15.1-a4
    signature:
    - 2
    - 0
    tamagawa_product: 16
    torsion_gens:
    - '[[-3904,-844],[10972,2374],[1,0]]'
    - '[[664,144],[-1872,-404],[1,0]]'
    torsion_order: 4
    torsion_primes:
    - 2
    torsion_structure:
    - 2
    - 2
    trace_hash: 44163244783912109
label_cols:
- label
labels:
- 2.2.105.1-15.1-a4
tables:
- ec_nfcurves
timestamp: '2024-05-05T13:34:24.127446'