data:
- - Ciso: 20328w
    Clabel: 20328w1
    Cnumber: 1
    abc_quality: 0.77652414930063
    absD: 78710016
    adelic_genus: 0
    adelic_index: 2
    adelic_level: 42
    ainvs:
    - 0
    - 1
    - 0
    - -161
    - -717
    analytic_rank: 0
    bad_primes:
    - 2
    - 3
    - 7
    - 11
    class_deg: 1
    class_size: 1
    cm: 0
    conductor: 20328
    degree: 5376
    elladic_images: []
    faltings_height:
      __RealLiteral__: 0
      data: '0.23585282241836506069111903089'
      prec: 103
    faltings_index: 0
    faltings_ratio: 1
    id: 134858
    iso_nlabel: 14
    isogeny_degrees:
    - 1
    jinv:
    - 123904
    - 21
    lmfdb_iso: 20328.o
    lmfdb_label: 20328.o1
    lmfdb_number: 1
    manin_constant: 1
    min_quad_twist_ainvs:
    - 0
    - 1
    - 0
    - -161
    - -717
    min_quad_twist_disc: 1
    modell_images: []
    modm_images:
    - 42.2.0.a.1
    nonmax_primes: []
    nonmax_rad: 1
    num_bad_primes: 4
    num_int_pts: 0
    optimality: 1
    potential_good_reduction: false
    rank: 0
    regulator: 1
    semistable: false
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '-1.0255437222210553269410169094'
      prec: 103
    szpiro_ratio: 2.7081336356828083
    torsion: 1
    torsion_primes: []
    torsion_structure: []
- - anlist:
    - 0
    - 1
    - 0
    - 1
    - 0
    - -1
    - 0
    - -1
    - 0
    - 1
    - 0
    - 0
    - 0
    - 0
    - 0
    - -1
    - 0
    - 3
    - 0
    - 6
    - 0
    aplist:
    - 0
    - 1
    - -1
    - -1
    - 0
    - 0
    - 3
    - 6
    - 4
    - -2
    - 10
    - -2
    - 10
    - -3
    - 9
    - 0
    - -11
    - 0
    - -5
    - 0
    - 16
    - -16
    - -9
    - 9
    - 6
    class_deg: 1
    class_size: 1
    conductor: 20328
    id: 82623
    isogeny_matrix:
    - - 1
    lmfdb_iso: 20328.o
    trace_hash: 674301719461170332
- - area:
      __RealLiteral__: 0
      data: '0.62393714501008853012990317747'
      prec: 103
    conductor: 20328
    gens: []
    heights: []
    id: 134858
    lmfdb_label: 20328.o1
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '1.3550451139175044216938279086'
      prec: 100
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '2.7100902278350088433876558172492374522'
      prec: 130
    tamagawa_product: 2
    torsion_generators: []
    xcoord_integral_points: []
- - id: 134858
    iwdata:
      '11': a
      '13':
      - 0
      - 0
      - 0
      '17':
      - 0
      - 0
      '19':
      - 0
      - 0
      '2': a
      '23':
      - 0
      - 0
      '29':
      - 0
      - 0
      '3':
      - 1
      - 0
      '31':
      - 0
      - 0
      '37':
      - 0
      - 0
      '41':
      - 0
      - 0
      '43':
      - 0
      - 0
      '47':
      - 0
      - 0
      '5':
      - 0
      - 0
      '7':
      - 0
      - 0
    iwp0: 0
    lmfdb_label: 20328.o1
- - degree: 3
    field:
    - 57
    - -29
    - -1
    - 1
    id: 1039010
    lmfdb_label: 20328.o1
    torsion:
    - 2
  - degree: 6
    field:
    - -27
    - -9
    - 114
    - -3
    - -38
    - -1
    - 1
    id: 1039011
    lmfdb_label: 20328.o1
    torsion:
    - 2
    - 2
  - degree: 8
    field:
    - -4107
    - 0
    - 1784
    - 0
    - -222
    - 0
    - 0
    - 0
    - 1
    id: 1039012
    lmfdb_label: 20328.o1
    torsion:
    - 3
  - degree: 12
    field:
    - -21639
    - 51564
    - 15696
    - -23262
    - -3725
    - 1404
    - 136
    - 244
    - -171
    - 28
    - 16
    - -6
    - 1
    id: 1039013
    lmfdb_label: 20328.o1
    torsion:
    - 4
- - conductor: 20328
    conductor_valuation: 3
    discriminant_valuation: 8
    id: 461632
    j_denominator_valuation: 0
    kodaira_symbol: -5
    lmfdb_label: 20328.o1
    prime: 2
    reduction_type: 0
    root_number: -1
    tamagawa_number: 2
  - conductor: 20328
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 461633
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 20328.o1
    prime: 3
    reduction_type: 1
    root_number: -1
    tamagawa_number: 1
  - conductor: 20328
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 461634
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 20328.o1
    prime: 7
    reduction_type: -1
    root_number: 1
    tamagawa_number: 1
  - conductor: 20328
    conductor_valuation: 2
    discriminant_valuation: 4
    id: 461635
    j_denominator_valuation: 0
    kodaira_symbol: 4
    lmfdb_label: 20328.o1
    prime: 11
    reduction_type: 0
    root_number: -1
    tamagawa_number: 1
- - adelic_gens:
    - - 1
      - 1
      - 41
      - 0
    - - 1
      - 2
      - 0
      - 1
    - - 31
      - 2
      - 31
      - 3
    - - 1
      - 0
      - 2
      - 1
    - - 41
      - 2
      - 40
      - 3
    - - 29
      - 2
      - 29
      - 3
    adelic_image: 42.2.0.?
    conductor: 20328
    id: 1799975
    lmfdb_label: 20328.o1
    prime: 0
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 20328.o1
- 20328.o
- 20328.o1
- 20328.o1
- 20328.o1
- 20328.o1
- 20328.o1
- 20328.o
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-29T03:42:52.210210'