data:
- - Ciso: 83259i
    Clabel: 83259i1
    Cnumber: 1
    abc_quality: 0.803141797237242
    absD: 546262299
    adelic_genus: 0
    adelic_index: 2
    adelic_level: 22
    ainvs:
    - 0
    - 0
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    - 87
    - 1080
    analytic_rank: 2
    bad_primes:
    - 3
    - 11
    - 29
    class_deg: 1
    class_size: 1
    cm: 0
    conductor: 83259
    degree: 42240
    elladic_images: []
    faltings_height:
      __RealLiteral__: 0
      data: '0.35808516350174745922679639012'
      prec: 103
    faltings_index: 0
    faltings_ratio: 1
    id: 548341
    iso_nlabel: 0
    isogeny_degrees:
    - 1
    jinv:
    - 118784
    - 891
    lmfdb_iso: 83259.a
    lmfdb_label: 83259.a1
    lmfdb_number: 1
    manin_constant: 1
    min_quad_twist_ainvs:
    - 0
    - 1
    - 1
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    min_quad_twist_disc: -3
    modell_images: []
    modm_images:
    - 22.2.0.a.1
    nonmax_primes: []
    nonmax_rad: 1
    num_bad_primes: 3
    num_int_pts: 12
    optimality: 1
    potential_good_reduction: false
    rank: 2
    regulator:
      __RealLiteral__: 0
      data: '1.1283861989478049881758043635'
      prec: 100
    semistable: false
    sha: 1
    sha_primes: []
    signD: -1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '-0.75243695249671972433470490040'
      prec: 107
    szpiro_ratio: 2.42663205172567
    torsion: 1
    torsion_primes: []
    torsion_structure: []
- - anlist:
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    aplist:
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    class_deg: 1
    class_size: 1
    conductor: 83259
    id: 361616
    isogeny_matrix:
    - - 1
    lmfdb_iso: 83259.a
    trace_hash: 1774021043776602685
- - area:
      __RealLiteral__: 0
      data: '0.48861993194207463393311633668'
      prec: 103
    conductor: 83259
    gens:
    - - 5
      - 40
      - 1
    - - -1
      - 31
      - 1
    heights:
    - __RealLiteral__: 0
      data: '0.69277331895738509482603177115'
      prec: 103
    - __RealLiteral__: 0
      data: '1.6897604441163263557027888629'
      prec: 100
    id: 548341
    lmfdb_label: 83259.a1
    ngens: 2
    rank_bounds:
    - 2
    - 2
    real_period:
      __RealLiteral__: 0
      data: '1.1968487446771238619271097038'
      prec: 100
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '5.4020304228866869697277437972555147175'
      prec: 130
    tamagawa_product: 4
    torsion_generators: []
    xcoord_integral_points:
    - -6
    - -1
    - 5
    - 107
    - 140
    - 6809
- - id: 548341
    iwdata:
      '11':
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      - 0
      '13':
      - 2
      - 0
      '17':
      - 2
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      '19':
      - 2
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      '2':
      - 2
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      - 0
      '23':
      - 2
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      '29': a
      '3': a
      '31':
      - 2
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      '37':
      - 2
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      '41':
      - 2
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      '43':
      - 2
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      '47':
      - 2
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      '5':
      - 2
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      '7':
      - 4
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    iwp0: 0
    lmfdb_label: 83259.a1
- - degree: 3
    field:
    - -174
    - -58
    - 0
    - 1
    id: 3907437
    lmfdb_label: 83259.a1
    torsion:
    - 2
  - degree: 6
    field:
    - 111
    - -379
    - 342
    - 73
    - -34
    - -3
    - 1
    id: 3907438
    lmfdb_label: 83259.a1
    torsion:
    - 2
    - 2
  - degree: 8
    field:
    - 194487
    - -147283
    - 36775
    - -18600
    - 4307
    - -620
    - 63
    - -1
    - 1
    id: 3907439
    lmfdb_label: 83259.a1
    torsion:
    - 3
  - degree: 12
    field:
    - -427442103
    - -600852276
    - -281437410
    - -40164768
    - 6562639
    - 3334536
    - 577140
    - 25056
    - -1721
    - -1044
    - -18
    - 0
    - 1
    id: 3907440
    lmfdb_label: 83259.a1
    torsion:
    - 4
- - conductor: 83259
    conductor_valuation: 2
    discriminant_valuation: 10
    id: 2027412
    j_denominator_valuation: 4
    kodaira_symbol: -8
    lmfdb_label: 83259.a1
    prime: 3
    reduction_type: 0
    root_number: -1
    tamagawa_number: 4
  - conductor: 83259
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 2027413
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 83259.a1
    prime: 11
    reduction_type: -1
    root_number: 1
    tamagawa_number: 1
  - conductor: 83259
    conductor_valuation: 2
    discriminant_valuation: 2
    id: 2027414
    j_denominator_valuation: 0
    kodaira_symbol: 2
    lmfdb_label: 83259.a1
    prime: 29
    reduction_type: 0
    root_number: 1
    tamagawa_number: 1
- - adelic_gens:
    - - 1
      - 1
      - 21
      - 0
    - - 1
      - 2
      - 0
      - 1
    - - 1
      - 0
      - 2
      - 1
    - - 21
      - 2
      - 20
      - 3
    - - 13
      - 2
      - 13
      - 3
    adelic_image: 22.2.0.?
    conductor: 83259
    id: 2212325
    lmfdb_label: 83259.a1
    prime: 0
- - id: 4291467
    lmfdb_iso: 83259.a
    p: 5
    prec: 20
    unit: 5849399080564
    val: 2
  - id: 4291468
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    p: 7
    prec: 20
    unit: 151520095581552
    val: 4
  - id: 4291472
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    p: 13
    prec: 20
    unit: 312606332095758607352
    val: 2
  - id: 4291475
    lmfdb_iso: 83259.a
    p: 19
    prec: 20
    unit: 1557799450793157874735523
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  - id: 4291478
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    p: 23
    prec: 20
    unit: 26372593827284000609627798
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  - id: 4291469
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    p: 31
    prec: 20
    unit: 1628882001643399034104953164
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  - id: 4291483
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    p: 37
    prec: 20
    unit: 602679264117345843333018756767
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  - id: 4291470
    lmfdb_iso: 83259.a
    p: 41
    prec: 20
    unit: 2315005522342497028999719472616
    val: 2
  - id: 4291471
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    p: 43
    prec: 20
    unit: 9530239914961313927648565534921
    val: 2
  - id: 4291481
    lmfdb_iso: 83259.a
    p: 47
    prec: 20
    unit: 53775325671881826497218765324400
    val: 2
  - id: 4291476
    lmfdb_iso: 83259.a
    p: 53
    prec: 20
    unit: 139888466430756253756213369351
    val: 0
  - id: 4291474
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    p: 59
    prec: 20
    unit: 3277958148037024528892407616238612
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  - id: 4291482
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    p: 61
    prec: 20
    unit: 3630959988814673390023531223825071
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  - id: 4291466
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    prec: 20
    unit: 44532090324501635850691258942435915
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  - id: 4291480
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    p: 71
    prec: 20
    unit: 12414609093360653295654925694940895
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  - id: 4291477
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    p: 73
    prec: 20
    unit: 59325785985567443191452662496842748
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  - id: 4291473
    lmfdb_iso: 83259.a
    p: 79
    prec: 20
    unit: 555844283661023860590149560833654318
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  - id: 4291465
    lmfdb_iso: 83259.a
    p: 83
    prec: 20
    unit: 1966648671249773288771956526228571211
    val: 2
  - id: 4291479
    lmfdb_iso: 83259.a
    p: 89
    prec: 20
    unit: 1224962138116114170905393165971730229
    val: 2
  - id: 4291464
    lmfdb_iso: 83259.a
    p: 97
    prec: 20
    unit: 52045047666664624939777399707722404135
    val: 2
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 83259.a1
- 83259.a
- 83259.a1
- 83259.a1
- 83259.a1
- 83259.a1
- 83259.a1
- 83259.a
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-05-22T03:45:22.313673'