data:
- - Lvalue:
      __RealLiteral__: 0
      data: '1.39442'
      prec: 24
    abs_disc: 703493
    ainvs: -4,9,10,-11,-2,2;-1,-3,-4,5,1,-1;-2,17,10,-17,-2,3;4,-33,-23,34,5,-6;5,-43,-15,36,3,-6
    analytic_rank: 0
    bad_primes:
    - (w^5-w^4-6*w^3+4*w^2+7*w+1)
    base_change: []
    class_deg: 2
    class_label: 6.6.703493.1-41.4-b
    class_size: 2
    cm: 0
    cm_type: 0
    conductor_ideal: (w^5-w^4-6*w^3+4*w^2+7*w+1)
    conductor_label: '41.4'
    conductor_norm: 41
    conductor_norm_factors:
    - 41
    degree: 6
    disc: (3*w^5-w^4-18*w^3+4*w^2+20*w+1)
    equation: '{y}^2+\left(2a^{5}-2a^{4}-11a^{3}+10a^{2}+9a-4\right){x}{y}+\left(3a^{5}-2a^{4}-17a^{3}+10a^{2}+17a-2\right){y}={x}^{3}+\left(-a^{5}+a^{4}+5a^{3}-4a^{2}-3a-1\right){x}^{2}+\left(-6a^{5}+5a^{4}+34a^{3}-23a^{2}-33a+4\right){x}-6a^{5}+3a^{4}+36a^{3}-15a^{2}-43a+5'
    field_label: 6.6.703493.1
    galois_images:
    - 2B
    gens: []
    heights: []
    id: 657830
    iso_label: b
    iso_nlabel: 1
    isodeg:
    - 1
    - 2
    isogeny_matrix:
    - - 1
      - 2
    - - 2
      - 1
    jinv: -237335216/41,906291495/41,689842493/41,-798145247/41,-141704392/41,132422900/41
    label: 6.6.703493.1-41.4-b1
    local_data:
    - cp: 1
      kod: 5
      normp: 41
      ord_cond: 1
      ord_den_j: 1
      ord_disc: 1
      p: (w^5-w^4-6*w^3+4*w^2+7*w+1)
      red: -1
      rootno: 1
    minD: (w^5-w^4-6*w^3+4*w^2+7*w+1)
    n_bad_primes: 1
    ngens: 0
    non_min_p: []
    nonmax_primes:
    - 2
    nonmax_rad: 2
    normdisc: 41
    number: 1
    omega:
      __RealLiteral__: 0
      data: '4678.2549883205107538344904865863164387'
      prec: 130
    potential_good_reduction: false
    q_curve: false
    rank: 0
    rank_bounds:
    - 0
    - 0
    reducible_primes:
    - 2
    reg: 1
    root_analytic_conductor: 102.1332374303807
    semistable: true
    sha: 1
    short_class_label: 41.4-b
    short_label: 41.4-b1
    signature:
    - 6
    - 0
    tamagawa_product: 1
    torsion_gens:
    - '[[2,-13,-5,12,1,-2],[1,-3,-5,5,1,-1],[1,0,0,0,0,0]]'
    torsion_order: 2
    torsion_primes:
    - 2
    torsion_structure:
    - 2
    trace_hash: 1295408261558452688
label_cols:
- label
labels:
- 6.6.703493.1-41.4-b1
tables:
- ec_nfcurves
timestamp: '2024-04-24T10:44:39.558600'