data:
- - Ciso: 3420a
    Clabel: 3420a1
    Cnumber: 1
    abc_quality: 0.9907756543685527
    absD: 4750200450000
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 2280
    ainvs:
    - 0
    - 0
    - 0
    - -8292
    - -271051
    analytic_rank: 0
    bad_primes:
    - 2
    - 3
    - 5
    - 19
    class_deg: 2
    class_size: 2
    cm: 0
    conductor: 3420
    degree: 5760
    elladic_images:
    - 4.6.0.3
    faltings_height:
      __RealLiteral__: 0
      data: '1.1776795915334831590413786621'
      prec: 100
    faltings_index: 0
    faltings_ratio: 1
    id: 20551
    iso_nlabel: 5
    isogeny_degrees:
    - 1
    - 2
    jinv:
    - 5405726654464
    - 407253125
    lmfdb_iso: 3420.f
    lmfdb_label: 3420.f1
    lmfdb_number: 1
    manin_constant: 1
    min_quad_twist_ainvs:
    - 0
    - -1
    - 0
    - -921
    - 10346
    min_quad_twist_disc: -3
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 4.6.0.b.1
    - 10.6.0.a.1
    - 20.24.0.e.1
    - 456.12.0.?
    - 2280.48.0.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 4
    num_int_pts: 1
    optimality: 1
    potential_good_reduction: false
    rank: 0
    regulator: 1
    semistable: false
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '0.39732438701277987687134533649'
      prec: 103
    szpiro_ratio: 4.753700478783442
    torsion: 2
    torsion_primes:
    - 2
    torsion_structure:
    - 2
- - anlist:
    - 0
    - 1
    - 0
    - 0
    - 0
    - 1
    - 0
    - 2
    - 0
    - 0
    - 0
    - 0
    - 0
    - 6
    - 0
    - 0
    - 0
    - -2
    - 0
    - -1
    - 0
    aplist:
    - 0
    - 0
    - 1
    - 2
    - 0
    - 6
    - -2
    - -1
    - 2
    - 2
    - 4
    - -10
    - 10
    - 6
    - 6
    - -6
    - 4
    - 2
    - -2
    - -12
    - -6
    - 8
    - 2
    - -2
    - -18
    class_deg: 2
    class_size: 2
    conductor: 3420
    id: 11082
    isogeny_matrix:
    - - 1
      - 2
    - - 2
      - 1
    lmfdb_iso: 3420.f
    trace_hash: 189555490389858804
- - area:
      __RealLiteral__: 0
      data: '0.094859428514401099047016006858'
      prec: 107
    conductor: 3420
    gens: []
    heights: []
    id: 20551
    lmfdb_label: 3420.f1
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '0.50268833361545947956966507015'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '2.5134416680772973978483253507468092586'
      prec: 130
    tamagawa_product: 20
    torsion_generators:
    - - -41
      - 0
      - 1
    xcoord_integral_points:
    - -41
- - id: 20551
    iwdata:
      '19':
      - 0
      - 0
      '2': a
      '3': a
      '5':
      - 1
      - 0
    iwp0: 7
    lmfdb_label: 3420.f1
- - degree: 2
    field:
    - -1
    - -1
    - 1
    id: 178075
    lmfdb_label: 3420.f1
    torsion:
    - 2
    - 2
  - degree: 4
    field:
    - 13
    - 2
    - -4
    - -2
    - 1
    id: 178076
    lmfdb_label: 3420.f1
    torsion:
    - 4
  - degree: 8
    field:
    - -242
    - 110
    - -92
    - -49
    - 58
    - -43
    - 19
    - -4
    - 1
    id: 178079
    lmfdb_label: 3420.f1
    torsion:
    - 6
  - degree: 8
    field:
    - 25
    - -50
    - 50
    - -30
    - 14
    - -6
    - 2
    - -2
    - 1
    id: 178078
    lmfdb_label: 3420.f1
    torsion:
    - 2
    - 4
  - degree: 8
    field:
    - 76
    - 144
    - 48
    - -40
    - -14
    - 0
    - -8
    - -2
    - 1
    id: 178077
    lmfdb_label: 3420.f1
    torsion:
    - 2
    - 4
  - degree: 16
    field:
    - 1
    - -14
    - 98
    - -506
    - 1533
    - -1654
    - 940
    - -100
    - -274
    - 320
    - -190
    - 44
    - 28
    - -34
    - 18
    - -6
    - 1
    id: 178080
    lmfdb_label: 3420.f1
    torsion:
    - 4
    - 4
  - degree: 16
    field:
    - 102400
    - 0
    - -186565
    - 0
    - -73454
    - 0
    - -35851
    - 0
    - -4865
    - 0
    - -835
    - 0
    - 55
    - 0
    - 14
    - 0
    - 1
    id: 178082
    lmfdb_label: 3420.f1
    torsion:
    - 2
    - 6
  - degree: 16
    field:
    - 38502025
    - 0
    - 3844400
    - 0
    - -4336560
    - 0
    - 476680
    - 0
    - 184826
    - 0
    - -37808
    - 0
    - 2784
    - 0
    - -88
    - 0
    - 1
    id: 178081
    lmfdb_label: 3420.f1
    torsion:
    - 8
- - conductor: 3420
    conductor_valuation: 2
    discriminant_valuation: 4
    id: 62317
    j_denominator_valuation: 0
    kodaira_symbol: 4
    lmfdb_label: 3420.f1
    prime: 2
    reduction_type: 0
    root_number: -1
    tamagawa_number: 1
  - conductor: 3420
    conductor_valuation: 2
    discriminant_valuation: 6
    id: 62318
    j_denominator_valuation: 0
    kodaira_symbol: -1
    lmfdb_label: 3420.f1
    prime: 3
    reduction_type: 0
    root_number: -1
    tamagawa_number: 2
  - conductor: 3420
    conductor_valuation: 1
    discriminant_valuation: 5
    id: 62319
    j_denominator_valuation: 5
    kodaira_symbol: 9
    lmfdb_label: 3420.f1
    prime: 5
    reduction_type: 1
    root_number: -1
    tamagawa_number: 5
  - conductor: 3420
    conductor_valuation: 1
    discriminant_valuation: 4
    id: 62320
    j_denominator_valuation: 4
    kodaira_symbol: 8
    lmfdb_label: 3420.f1
    prime: 19
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
- - adelic_gens:
    - - 1141
      - 768
      - 0
      - 1
    - - 1
      - 0
      - 8
      - 1
    - - 1
      - 8
      - 0
      - 1
    - - 1
      - 4
      - 4
      - 17
    - - 3
      - 8
      - 28
      - 75
    - - 577
      - 6
      - 2274
      - 2275
    - - 5
      - 8
      - 48
      - 77
    - - 1519
      - 0
      - 0
      - 2279
    - - 2273
      - 8
      - 2272
      - 9
    - - 1921
      - 768
      - 84
      - 793
    - - 616
      - 3
      - 765
      - 1522
    adelic_image: 2280.48.0.?
    conductor: 3420
    id: 1686211
    lmfdb_label: 3420.f1
    prime: 0
  - conductor: 3420
    elladic_image: 4.6.0.3
    id: 17118
    lmfdb_label: 3420.f1
    modell_image: 2B
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 3420.f1
- 3420.f
- 3420.f1
- 3420.f1
- 3420.f1
- 3420.f1
- 3420.f1
- 3420.f
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-25T17:25:28.250100'