data:
- - Ciso: 413712v
    Clabel: 413712v3
    Cnumber: 3
    abc_quality: 0.9449562683403349
    absD: 2388917364268032
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 5304
    ainvs:
    - 0
    - 0
    - 0
    - -21513531
    - 38407466266
    analytic_rank: 2
    bad_primes:
    - 2
    - 3
    - 13
    - 17
    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 413712
    degree: 16515072
    elladic_images:
    - 4.6.0.1
    faltings_height:
      __RealLiteral__: 0
      data: '2.6246547448032351577154384020'
      prec: 100
    faltings_index: 2
    faltings_ratio: 4
    id: 2562517
    iso_nlabel: 21
    isogeny_degrees:
    - 1
    - 2
    - 4
    jinv:
    - 305612563186948
    - 663
    lmfdb_iso: 413712.v
    lmfdb_label: 413712.v1
    lmfdb_number: 1
    manin_constant: 1
    min_quad_twist_ainvs:
    - 0
    - -1
    - 0
    - -14144
    - 652188
    min_quad_twist_disc: 156
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 4.6.0.c.1
    - 12.12.0-4.c.1.1
    - 104.12.0.?
    - 136.12.0.?
    - 312.24.0.?
    - 408.24.0.?
    - 884.12.0.?
    - 1768.24.0.?
    - 2652.24.0.?
    - 5304.48.0.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 4
    num_int_pts: 9
    optimality: 3
    potential_good_reduction: false
    rank: 2
    regulator:
      __RealLiteral__: 0
      data: '9.9260963273464788052450051982'
      prec: 100
    semistable: false
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '0.21525127127179085281004529488'
      prec: 103
    szpiro_ratio: 4.814547307618097
    torsion: 2
    torsion_primes:
    - 2
    torsion_structure:
    - 2
- - anlist:
    - 0
    - 1
    - 0
    - 0
    - 0
    - -2
    - 0
    - -4
    - 0
    - 0
    - 0
    - 4
    - 0
    - 0
    - 0
    - 0
    - 0
    - -1
    - 0
    - -4
    - 0
    aplist:
    - 0
    - 0
    - -2
    - -4
    - 4
    - 0
    - -1
    - -4
    - -8
    - 2
    - -4
    - 6
    - -6
    - 4
    - 4
    - -14
    - 0
    - -10
    - -12
    - 8
    - 10
    - -8
    - 8
    - 6
    - 10
    class_deg: 4
    class_size: 4
    conductor: 413712
    id: 1798421
    isogeny_matrix:
    - - 1
      - 4
      - 2
      - 4
    - - 4
      - 1
      - 2
      - 4
    - - 2
      - 2
      - 1
      - 2
    - - 4
      - 4
      - 2
      - 1
    lmfdb_iso: 413712.v
    trace_hash: 1156035829822372741
- - area:
      __RealLiteral__: 0
      data: '0.0052511431164847195642420146312'
      prec: 110
    conductor: 413712
    gens:
    - - 3731
      - 100386
      - 1
    - - 6435
      - 407966
      - 1
    heights:
    - __RealLiteral__: 0
      data: '2.4126641803239152671852133321'
      prec: 100
    - __RealLiteral__: 0
      data: '4.5372277853097573880617137881'
      prec: 100
    id: 2562517
    lmfdb_label: 413712.v1
    ngens: 2
    rank_bounds:
    - 2
    - 2
    real_period:
      __RealLiteral__: 0
      data: '0.29963477523423914691549408545'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '11.896814567991475439082056292876059998'
      prec: 130
    tamagawa_product: 16
    torsion_generators:
    - - 2678
      - 0
      - 1
    xcoord_integral_points:
    - 2678
    - 2694
    - 3731
    - 6435
    - 25178
- []
- []
- - conductor: 413712
    conductor_valuation: 4
    discriminant_valuation: 10
    id: 10221994
    j_denominator_valuation: 0
    kodaira_symbol: -6
    lmfdb_label: 413712.v1
    prime: 2
    reduction_type: 0
    root_number: 1
    tamagawa_number: 2
  - conductor: 413712
    conductor_valuation: 2
    discriminant_valuation: 7
    id: 10221995
    j_denominator_valuation: 1
    kodaira_symbol: -5
    lmfdb_label: 413712.v1
    prime: 3
    reduction_type: 0
    root_number: -1
    tamagawa_number: 2
  - conductor: 413712
    conductor_valuation: 2
    discriminant_valuation: 7
    id: 10221996
    j_denominator_valuation: 1
    kodaira_symbol: -5
    lmfdb_label: 413712.v1
    prime: 13
    reduction_type: 0
    root_number: 1
    tamagawa_number: 4
  - conductor: 413712
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 10221997
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 413712.v1
    prime: 17
    reduction_type: -1
    root_number: 1
    tamagawa_number: 1
- - adelic_gens:
    - - 4640
      - 1981
      - 4637
      - 4608
    - - 667
      - 666
      - 2002
      - 4651
    - - 1
      - 0
      - 8
      - 1
    - - 4376
      - 3
      - 4061
      - 2
    - - 2852
      - 5303
      - 4465
      - 5298
    - - 7
      - 6
      - 5298
      - 5299
    - - 1760
      - 5301
      - 1763
      - 5302
    - - 1
      - 8
      - 0
      - 1
    - - 1
      - 4
      - 4
      - 17
    - - 5297
      - 8
      - 5296
      - 9
    adelic_image: 5304.48.0.?
    conductor: 413712
    id: 4223364
    lmfdb_label: 413712.v1
    prime: 0
  - conductor: 413712
    elladic_image: 4.6.0.1
    id: 1398951
    lmfdb_label: 413712.v1
    modell_image: 2B
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 413712.v1
- 413712.v
- 413712.v1
- 413712.v1
- 413712.v1
- 413712.v1
- 413712.v1
- 413712.v
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-05-22T11:21:44.911810'