data:
- - Ciso: 120a
    Clabel: 120a2
    Cnumber: 2
    abc_quality: 1.0257583484881192
    absD: 518400
    adelic_genus: 1
    adelic_index: 192
    adelic_level: 120
    ainvs:
    - 0
    - 1
    - 0
    - -20
    - 0
    analytic_rank: 0
    bad_primes:
    - 2
    - 3
    - 5
    class_deg: 8
    class_size: 6
    cm: 0
    conductor: 120
    degree: 16
    elladic_images:
    - 8.48.0.26
    faltings_height:
      __RealLiteral__: 0
      data: '-0.21314831549003071802851605372'
      prec: 107
    faltings_index: 1
    faltings_ratio: 2
    id: 379
    iso_nlabel: 1
    isogeny_degrees:
    - 1
    - 2
    - 4
    jinv:
    - 3631696
    - 2025
    lmfdb_iso: 120.b
    lmfdb_label: 120.b4
    lmfdb_number: 4
    manin_constant: 1
    min_quad_twist_ainvs:
    - 0
    - 1
    - 0
    - -20
    - 0
    min_quad_twist_disc: 1
    modell_images:
    - 2Cs
    modm_images:
    - 2.6.0.a.1
    - 4.24.0-4.b.1.3
    - 8.48.0-8.d.2.1
    - 20.48.0-20.c.1.1
    - 24.96.0-24.p.2.3
    - 40.96.0-40.j.1.2
    - 120.192.1.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 3
    num_int_pts: 7
    optimality: 0
    potential_good_reduction: false
    rank: 0
    regulator: 1
    semistable: false
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '-0.67524643586332759097333746803'
      prec: 107
    szpiro_ratio: 4.3134043605136725
    torsion: 8
    torsion_primes:
    - 2
    torsion_structure:
    - 2
    - 4
- - anlist:
    - 0
    - 1
    - 0
    - 1
    - 0
    - 1
    - 0
    - 0
    - 0
    - 1
    - 0
    - -4
    - 0
    - 6
    - 0
    - 1
    - 0
    - -6
    - 0
    - -4
    - 0
    aplist:
    - 0
    - 1
    - 1
    - 0
    - -4
    - 6
    - -6
    - -4
    - 0
    - -2
    - -8
    - -2
    - -6
    - 12
    - 8
    - 6
    - 12
    - 14
    - 4
    - 8
    - -6
    - -8
    - -12
    - 10
    - 2
    class_deg: 8
    class_size: 6
    conductor: 120
    id: 124
    isogeny_matrix:
    - - 1
      - 2
      - 4
      - 4
      - 8
      - 8
    - - 2
      - 1
      - 2
      - 2
      - 4
      - 4
    - - 4
      - 2
      - 1
      - 4
      - 8
      - 8
    - - 4
      - 2
      - 4
      - 1
      - 2
      - 2
    - - 8
      - 4
      - 8
      - 2
      - 1
      - 4
    - - 8
      - 4
      - 8
      - 2
      - 4
      - 1
    lmfdb_iso: 120.b
    trace_hash: 704992717552055982
- - area:
      __RealLiteral__: 0
      data: '1.5315750203576398821675216394'
      prec: 100
    conductor: 120
    gens: []
    heights: []
    id: 379
    lmfdb_label: 120.b4
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '2.5389885559266659796928128541'
      prec: 100
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '1.2694942779633329898464064270624422458'
      prec: 130
    tamagawa_product: 32
    torsion_generators:
    - - 0
      - 0
      - 1
    - - -2
      - 6
      - 1
    xcoord_integral_points:
    - -5
    - -2
    - 0
    - 4
    - 10
- - id: 379
    iwdata:
      '2': a
      '3':
      - 3
      - 0
      '5':
      - 1
      - 0
    iwp0: 3
    lmfdb_label: 120.b4
- - degree: 4
    field:
    - 1
    - 0
    - -8
    - 0
    - 1
    id: 4491
    lmfdb_label: 120.b4
    torsion:
    - 2
    - 8
  - degree: 4
    field:
    - 1
    - 0
    - 3
    - 0
    - 1
    id: 4490
    lmfdb_label: 120.b4
    torsion:
    - 4
    - 4
  - degree: 4
    field:
    - 1
    - 0
    - 4
    - 0
    - 1
    id: 4492
    lmfdb_label: 120.b4
    torsion:
    - 2
    - 8
  - degree: 8
    field:
    - -3
    - 0
    - -28
    - 0
    - -6
    - 0
    - 0
    - 0
    - 1
    id: 4494
    lmfdb_label: 120.b4
    torsion:
    - 2
    - 12
  - degree: 8
    field:
    - 1
    - 2
    - 2
    - -10
    - 11
    - -10
    - 8
    - -4
    - 1
    id: 4493
    lmfdb_label: 120.b4
    torsion:
    - 4
    - 8
  - degree: 16
    field:
    - 1
    - 0
    - -32
    - 0
    - -212
    - 0
    - 256
    - 0
    - 1270
    - 0
    - 256
    - 0
    - -212
    - 0
    - -32
    - 0
    - 1
    id: 4497
    lmfdb_label: 120.b4
    torsion:
    - 2
    - 16
  - degree: 16
    field:
    - 1
    - 0
    - 0
    - 0
    - -7
    - 0
    - 0
    - 0
    - 48
    - 0
    - 0
    - 0
    - -7
    - 0
    - 0
    - 0
    - 1
    id: 4496
    lmfdb_label: 120.b4
    torsion:
    - 4
    - 8
  - degree: 16
    field:
    - 1
    - 0
    - 16
    - 0
    - 124
    - 0
    - 208
    - 0
    - 598
    - 0
    - 208
    - 0
    - 124
    - 0
    - 16
    - 0
    - 1
    id: 4498
    lmfdb_label: 120.b4
    torsion:
    - 2
    - 16
  - degree: 16
    field:
    - 841
    - 0
    - 1280
    - 0
    - -694
    - 0
    - -1140
    - 0
    - 311
    - 0
    - 540
    - 0
    - 146
    - 0
    - 20
    - 0
    - 1
    id: 4495
    lmfdb_label: 120.b4
    torsion:
    - 4
    - 8
- - conductor: 120
    conductor_valuation: 3
    discriminant_valuation: 8
    id: 802
    j_denominator_valuation: 0
    kodaira_symbol: -5
    lmfdb_label: 120.b4
    prime: 2
    reduction_type: 0
    root_number: -1
    tamagawa_number: 4
  - conductor: 120
    conductor_valuation: 1
    discriminant_valuation: 4
    id: 803
    j_denominator_valuation: 4
    kodaira_symbol: 8
    lmfdb_label: 120.b4
    prime: 3
    reduction_type: 1
    root_number: -1
    tamagawa_number: 4
  - conductor: 120
    conductor_valuation: 1
    discriminant_valuation: 2
    id: 804
    j_denominator_valuation: 2
    kodaira_symbol: 6
    lmfdb_label: 120.b4
    prime: 5
    reduction_type: 1
    root_number: -1
    tamagawa_number: 2
- - adelic_gens:
    - - 3
      - 34
      - 8
      - 101
    - - 113
      - 8
      - 112
      - 9
    - - 79
      - 2
      - 54
      - 115
    - - 1
      - 0
      - 8
      - 1
    - - 5
      - 4
      - 116
      - 117
    - - 41
      - 8
      - 44
      - 33
    - - 65
      - 92
      - 92
      - 61
    - - 1
      - 8
      - 0
      - 1
    adelic_image: 120.192.1.?
    conductor: 120
    id: 1666251
    lmfdb_label: 120.b4
    prime: 0
  - conductor: 120
    elladic_image: 8.48.0.26
    id: 439
    lmfdb_label: 120.b4
    modell_image: 2Cs
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 120.b4
- 120.b
- 120.b4
- 120.b4
- 120.b4
- 120.b4
- 120.b4
- 120.b
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-24T01:49:42.187086'