data:
- - Lvalue:
      __RealLiteral__: 0
      data: '1.19306'
      prec: 24
    abs_disc: 1241125
    ainvs: -19,-52,-2,34,2,-5;1,-3,-1,1,0,0;1,1,0,0,0,0;-3693,-21217,-19626,22801,5149,-4178;-220717,-1338554,-1289635,1461510,337696,-269508
    analytic_rank: 0
    bad_primes:
    - (w^4+w^3-4*w^2-3*w+1)
    base_change: []
    class_deg: 7
    class_label: 6.6.1241125.1-41.1-a
    class_size: 2
    cm: 0
    cm_type: 0
    conductor_ideal: (w^4+w^3-4*w^2-3*w+1)
    conductor_label: '41.1'
    conductor_norm: 41
    conductor_norm_factors:
    - 41
    degree: 6
    disc: (-26*w^5+42*w^4+176*w^3-166*w^2-301*w+21)
    equation: '{y}^2+\left(-5a^{5}+2a^{4}+34a^{3}-2a^{2}-52a-19\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a^{3}-a^{2}-3a+1\right){x}^{2}+\left(-4178a^{5}+5149a^{4}+22801a^{3}-19626a^{2}-21217a-3693\right){x}-269508a^{5}+337696a^{4}+1461510a^{3}-1289635a^{2}-1338554a-220717'
    field_label: 6.6.1241125.1
    galois_images:
    - 7B.1.3
    gens: []
    heights: []
    id: 649523
    iso_label: a
    iso_nlabel: 0
    isodeg:
    - 1
    - 7
    isogeny_matrix:
    - - 1
      - 7
    - - 7
      - 1
    jinv: -34885214721449234564804/194754273881,360645134275870330036563/194754273881,343098620572538429827465/194754273881,-1435403563400771691241019/194754273881,-135201991016220514678646/194754273881,300039257776916723031380/194754273881
    label: 6.6.1241125.1-41.1-a1
    local_data:
    - cp: 1
      kod: 11
      normp: 41
      ord_cond: 1
      ord_den_j: 7
      ord_disc: 7
      p: (w^4+w^3-4*w^2-3*w+1)
      red: -1
      rootno: 1
    minD: (26*w^5-42*w^4-176*w^3+166*w^2+301*w-21)
    n_bad_primes: 1
    ngens: 0
    non_min_p: []
    nonmax_primes:
    - 7
    nonmax_rad: 7
    normdisc: 194754273881
    number: 1
    omega:
      __RealLiteral__: 0
      data: '0.55357546064756299660352397232241976964'
      prec: 133
    potential_good_reduction: false
    q_curve: false
    rank: 0
    rank_bounds:
    - 0
    - 0
    reducible_primes:
    - 7
    reg: 1
    root_analytic_conductor: 135.65786258923768
    semistable: true
    sha: 2401
    short_class_label: 41.1-a
    short_label: 41.1-a1
    signature:
    - 6
    - 0
    tamagawa_product: 1
    torsion_gens: []
    torsion_order: 1
    torsion_primes: []
    torsion_structure: []
    trace_hash: 1888960922335817548
label_cols:
- label
labels:
- 6.6.1241125.1-41.1-a1
tables:
- ec_nfcurves
timestamp: '2024-05-12T01:14:17.047819'