data:
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    Clabel: 3136s1
    Cnumber: 1
    abc_quality: 0.8915192755066496
    absD: 13492928512
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 56
    ainvs:
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    analytic_rank: 1
    bad_primes:
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    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 3136
    degree: 1536
    elladic_images:
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    faltings_height:
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      prec: 103
    faltings_index: 0
    faltings_ratio: 1
    id: 18648
    iso_nlabel: 15
    isogeny_degrees:
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    jinv:
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    lmfdb_iso: 3136.p
    lmfdb_label: 3136.p4
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    manin_constant: 1
    min_quad_twist_ainvs:
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    min_quad_twist_disc: 56
    modell_images:
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    modm_images:
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    - 14.6.0.b.1
    - 28.12.0.g.1
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    nonmax_primes:
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    nonmax_rad: 2
    num_bad_primes: 2
    num_int_pts: 5
    optimality: 1
    potential_good_reduction: false
    rank: 1
    regulator:
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      data: '1.9330572333397874665166854078'
      prec: 100
    semistable: false
    sha: 1
    sha_primes: []
    signD: -1
    stable_faltings_height:
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      data: '-1.1572781277318296707085970728'
      prec: 103
    szpiro_ratio: 3.818769916077174
    torsion: 2
    torsion_primes:
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    torsion_structure:
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    class_deg: 4
    class_size: 4
    conductor: 3136
    id: 9984
    isogeny_matrix:
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    trace_hash: 293581156173131875
- - area:
      __RealLiteral__: 0
      data: '0.28687826559391947223068749184'
      prec: 103
    conductor: 3136
    gens:
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    heights:
    - __RealLiteral__: 0
      data: '1.9330572333397874665166854078'
      prec: 100
    id: 18648
    lmfdb_label: 3136.p4
    ngens: 1
    rank_bounds:
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    real_period:
      __RealLiteral__: 0
      data: '0.93493147424956756866377454482'
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    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
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    special_value:
      __RealLiteral__: 0
      data: '3.6145520979503156654594075894304716037'
      prec: 130
    tamagawa_product: 8
    torsion_generators:
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    xcoord_integral_points:
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    iwdata:
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    lmfdb_label: 3136.p4
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    field:
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    id: 162632
    lmfdb_label: 3136.p4
    torsion:
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    field:
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    id: 162633
    lmfdb_label: 3136.p4
    torsion:
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    torsion:
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    torsion:
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    torsion:
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    field:
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    id: 162639
    lmfdb_label: 3136.p4
    torsion:
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  - degree: 16
    field:
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    id: 162643
    lmfdb_label: 3136.p4
    torsion:
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    field:
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    id: 162641
    lmfdb_label: 3136.p4
    torsion:
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  - degree: 16
    field:
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    id: 162642
    lmfdb_label: 3136.p4
    torsion:
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- - conductor: 3136
    conductor_valuation: 6
    discriminant_valuation: 14
    id: 56312
    j_denominator_valuation: 0
    kodaira_symbol: -8
    lmfdb_label: 3136.p4
    prime: 2
    reduction_type: 0
    root_number: -1
    tamagawa_number: 4
  - conductor: 3136
    conductor_valuation: 2
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    j_denominator_valuation: 1
    kodaira_symbol: -5
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    prime: 7
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- - adelic_gens:
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    adelic_image: 56.48.0.?
    conductor: 3136
    id: 1684311
    lmfdb_label: 3136.p4
    prime: 0
  - conductor: 3136
    elladic_image: 8.24.0.107
    id: 15624
    lmfdb_label: 3136.p4
    modell_image: 2B
    prime: 2
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  - id: 102453
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    unit: 18846459181408657203064101989328933017
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label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 3136.p4
- 3136.p
- 3136.p4
- 3136.p4
- 3136.p4
- 3136.p4
- 3136.p4
- 3136.p
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-25T14:14:09.466220'