data:
- - Ciso: 2475g
    Clabel: 2475g3
    Cnumber: 3
    abc_quality: 1.0091329432672695
    absD: 4502793796875
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 1320
    ainvs:
    - 1
    - -1
    - 0
    - -32967
    - -2293434
    analytic_rank: 0
    bad_primes:
    - 3
    - 5
    - 11
    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 2475
    degree: 6144
    elladic_images:
    - 4.6.0.1
    faltings_height:
      __RealLiteral__: 0
      data: '1.3413930334344164347555561649'
      prec: 100
    faltings_index: 3
    faltings_ratio: 4
    id: 14381
    iso_nlabel: 6
    isogeny_degrees:
    - 1
    - 2
    - 4
    jinv:
    - 347873904937
    - 395307
    lmfdb_iso: 2475.g
    lmfdb_label: 2475.g1
    lmfdb_number: 1
    manin_constant: 1
    min_quad_twist_ainvs:
    - 1
    - 1
    - 0
    - -146
    - 621
    min_quad_twist_disc: -15
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 4.6.0.c.1
    - 12.12.0.h.1
    - 20.12.0-4.c.1.1
    - 60.24.0-12.h.1.1
    - 88.12.0.?
    - 264.24.0.?
    - 440.24.0.?
    - 1320.48.0.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 3
    num_int_pts: 0
    optimality: 0
    potential_good_reduction: false
    rank: 0
    regulator: 1
    semistable: false
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '-0.012632067116688598242446120174'
      prec: 110
    szpiro_ratio: 5.480346918098598
    torsion: 2
    torsion_primes:
    - 2
    torsion_structure:
    - 2
- - anlist:
    - 0
    - 1
    - 1
    - 0
    - -1
    - 0
    - 0
    - -4
    - -3
    - 0
    - 0
    - -1
    - 0
    - 2
    - -4
    - 0
    - -1
    - -2
    - 0
    - 0
    - 0
    aplist:
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    - 0
    - 0
    - -4
    - -1
    - 2
    - -2
    - 0
    - 8
    - 6
    - -8
    - -6
    - 2
    - 0
    - 8
    - 6
    - 4
    - 6
    - 4
    - 0
    - 14
    - -4
    - 12
    - 6
    - -2
    class_deg: 4
    class_size: 4
    conductor: 2475
    id: 7561
    isogeny_matrix:
    - - 1
      - 2
      - 4
      - 4
    - - 2
      - 1
      - 2
      - 2
    - - 4
      - 2
      - 1
      - 4
    - - 4
      - 2
      - 4
      - 1
    lmfdb_iso: 2475.g
    trace_hash: 2156057543737001656
- - area:
      __RealLiteral__: 0
      data: '0.068372398474495543162273061673'
      prec: 107
    conductor: 2475
    gens: []
    heights: []
    id: 14381
    lmfdb_label: 2475.g1
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '0.35433064283035853092097602302'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '1.4173225713214341236839040920859352546'
      prec: 130
    tamagawa_product: 16
    torsion_generators:
    - - -429
      - 429
      - 2
    xcoord_integral_points: []
- - id: 14381
    iwdata:
      '11':
      - 0
      - 0
      '2':
      - 5
      - 2
      '3': a
      '5': a
    iwp0: 3
    lmfdb_label: 2475.g1
- - degree: 2
    field:
    - -3
    - 0
    - 1
    id: 127216
    lmfdb_label: 2475.g1
    torsion:
    - 2
    - 2
  - degree: 2
    field:
    - 4
    - -1
    - 1
    id: 127217
    lmfdb_label: 2475.g1
    torsion:
    - 4
  - degree: 2
    field:
    - 5
    - 0
    - 1
    id: 127218
    lmfdb_label: 2475.g1
    torsion:
    - 4
  - degree: 4
    field:
    - 4
    - 0
    - 1
    - 0
    - 1
    id: 127219
    lmfdb_label: 2475.g1
    torsion:
    - 2
    - 4
  - degree: 8
    field:
    - -21
    - -22
    - -26
    - 12
    - 13
    - 11
    - -6
    - -1
    - 1
    id: 127223
    lmfdb_label: 2475.g1
    torsion:
    - 6
  - degree: 8
    field:
    - 9
    - 0
    - 0
    - 0
    - -21
    - 0
    - 0
    - 0
    - 1
    id: 127220
    lmfdb_label: 2475.g1
    torsion:
    - 2
    - 4
  - degree: 8
    field:
    - 144
    - 0
    - -12
    - 0
    - -17
    - 0
    - -1
    - 0
    - 1
    id: 127221
    lmfdb_label: 2475.g1
    torsion:
    - 8
  - degree: 8
    field:
    - 11664
    - 0
    - 3888
    - 0
    - 705
    - 0
    - 36
    - 0
    - 1
    id: 127222
    lmfdb_label: 2475.g1
    torsion:
    - 8
  - degree: 16
    field:
    - 1
    - 0
    - -52
    - 0
    - 9290
    - 0
    - -2196
    - 0
    - -1237
    - 0
    - 84
    - 0
    - 50
    - 0
    - 8
    - 0
    - 1
    id: 127225
    lmfdb_label: 2475.g1
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 9
    - 0
    - 56
    - 0
    - 196
    - 0
    - 723
    - 0
    - 440
    - 0
    - 193
    - 0
    - 69
    - 0
    - 14
    - 0
    - 1
    id: 127229
    lmfdb_label: 2475.g1
    torsion:
    - 12
  - degree: 16
    field:
    - 81
    - 0
    - 0
    - 0
    - 189
    - 0
    - 0
    - 0
    - 432
    - 0
    - 0
    - 0
    - 21
    - 0
    - 0
    - 0
    - 1
    id: 127224
    lmfdb_label: 2475.g1
    torsion:
    - 4
    - 4
  - degree: 16
    field:
    - 501
    - 414
    - 1396
    - 259
    - 937
    - -419
    - 493
    - -41
    - 245
    - -115
    - -151
    - -16
    - 62
    - 5
    - -8
    - -2
    - 1
    id: 127228
    lmfdb_label: 2475.g1
    torsion:
    - 12
  - degree: 16
    field:
    - 6561
    - 0
    - -15276
    - 0
    - 12082
    - 0
    - -4518
    - 0
    - 291
    - 0
    - 215
    - 0
    - -69
    - 0
    - -6
    - 0
    - 1
    id: 127227
    lmfdb_label: 2475.g1
    torsion:
    - 2
    - 6
  - degree: 16
    field:
    - 718936
    - 1050480
    - 1127632
    - 342192
    - -133310
    - -240900
    - -37634
    - 55272
    - 32665
    - -6528
    - -6830
    - 456
    - 808
    - -12
    - -44
    - 0
    - 1
    id: 127226
    lmfdb_label: 2475.g1
    torsion:
    - 2
    - 8
- - conductor: 2475
    conductor_valuation: 2
    discriminant_valuation: 9
    id: 42492
    j_denominator_valuation: 3
    kodaira_symbol: -7
    lmfdb_label: 2475.g1
    prime: 3
    reduction_type: 0
    root_number: -1
    tamagawa_number: 4
  - conductor: 2475
    conductor_valuation: 2
    discriminant_valuation: 6
    id: 42493
    j_denominator_valuation: 0
    kodaira_symbol: -1
    lmfdb_label: 2475.g1
    prime: 5
    reduction_type: 0
    root_number: 1
    tamagawa_number: 2
  - conductor: 2475
    conductor_valuation: 1
    discriminant_valuation: 4
    id: 42494
    j_denominator_valuation: 4
    kodaira_symbol: 8
    lmfdb_label: 2475.g1
    prime: 11
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
- - adelic_gens:
    - - 1
      - 0
      - 8
      - 1
    - - 1
      - 8
      - 0
      - 1
    - - 1
      - 4
      - 4
      - 17
    - - 344
      - 525
      - 875
      - 1054
    - - 263
      - 0
      - 0
      - 1319
    - - 1291
      - 1290
      - 970
      - 571
    - - 496
      - 635
      - 235
      - 1056
    - - 1313
      - 8
      - 1312
      - 9
    - - 1201
      - 800
      - 580
      - 561
    - - 7
      - 6
      - 1314
      - 1315
    adelic_image: 1320.48.0.?
    conductor: 2475
    id: 1680072
    lmfdb_label: 2475.g1
    prime: 0
  - conductor: 2475
    elladic_image: 4.6.0.1
    id: 12296
    lmfdb_label: 2475.g1
    modell_image: 2B
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 2475.g1
- 2475.g
- 2475.g1
- 2475.g1
- 2475.g1
- 2475.g1
- 2475.g1
- 2475.g
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-25T10:57:59.399041'