data:
- - Ciso: 1710m
    Clabel: 1710m1
    Cnumber: 1
    abc_quality: 0.9298072147700007
    absD: 13132800
    adelic_genus: 0
    adelic_index: 12
    adelic_level: 456
    ainvs:
    - 1
    - -1
    - 1
    - -62
    - -51
    analytic_rank: 1
    bad_primes:
    - 2
    - 3
    - 5
    - 19
    class_deg: 2
    class_size: 2
    cm: 0
    conductor: 1710
    degree: 640
    elladic_images:
    - 2.3.0.1
    faltings_height:
      __RealLiteral__: 0
      data: '0.058432833742801019981747657423'
      prec: 107
    faltings_index: 0
    faltings_ratio: 1
    id: 9495
    iso_nlabel: 15
    isogeny_degrees:
    - 1
    - 2
    jinv:
    - 961504803
    - 486400
    lmfdb_iso: 1710.p
    lmfdb_label: 1710.p2
    lmfdb_number: 2
    manin_constant: 1
    min_quad_twist_ainvs:
    - 1
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    - 0
    - -555
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    min_quad_twist_disc: -3
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 24.6.0.d.1
    - 114.6.0.?
    - 152.6.0.?
    - 456.12.0.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 4
    num_int_pts: 13
    optimality: 1
    potential_good_reduction: false
    rank: 1
    regulator:
      __RealLiteral__: 0
      data: '0.21641423848949249420867574347'
      prec: 103
    semistable: false
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '-0.21622023842422640286706365181'
      prec: 107
    szpiro_ratio: 3.2212581972159158
    torsion: 2
    torsion_primes:
    - 2
    torsion_structure:
    - 2
- - anlist:
    - 0
    - 1
    - 1
    - 0
    - 1
    - 1
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    - 0
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    - 0
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    aplist:
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    - 0
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    - -10
    - 14
    - 10
    - -6
    class_deg: 2
    class_size: 2
    conductor: 1710
    id: 4816
    isogeny_matrix:
    - - 1
      - 2
    - - 2
      - 1
    lmfdb_iso: 1710.p
    trace_hash: 740513471015674605
- - area:
      __RealLiteral__: 0
      data: '0.88970470140592181101173146059'
      prec: 103
    conductor: 1710
    gens:
    - - -3
      - 11
      - 1
    heights:
    - __RealLiteral__: 0
      data: '0.21641423848949249420867574347'
      prec: 103
    id: 9495
    lmfdb_label: 1710.p2
    ngens: 1
    rank_bounds:
    - 1
    - 1
    real_period:
      __RealLiteral__: 0
      data: '1.7968941740056615474051355753'
      prec: 100
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '3.8887348431364086253065276148220462382'
      prec: 130
    tamagawa_product: 40
    torsion_generators:
    - - -7
      - 3
      - 1
    xcoord_integral_points:
    - -7
    - -3
    - -1
    - 9
    - 17
    - 47
    - 93
- - id: 9495
    iwdata:
      '11':
      - 1
      - 0
      '13':
      - 1
      - 1
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      '17':
      - 1
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      '19':
      - 3
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      '2':
      - 2
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      '23':
      - 1
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      '29':
      - 1
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      '3': a
      '31':
      - 1
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      '37':
      - 1
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      '41':
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      '43':
      - 1
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      '47':
      - 1
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      '5':
      - 2
      - 0
      '7':
      - 1
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    iwp0: 0
    lmfdb_label: 1710.p2
- - degree: 2
    field:
    - -14
    - -1
    - 1
    id: 86763
    lmfdb_label: 1710.p2
    torsion:
    - 2
    - 2
  - degree: 4
    field:
    - 10
    - 4
    - 3
    - -2
    - 1
    id: 86764
    lmfdb_label: 1710.p2
    torsion:
    - 4
  - degree: 8
    field:
    - -22796
    - 6436
    - 2800
    - 1174
    - -233
    - -164
    - -32
    - -2
    - 1
    id: 86765
    lmfdb_label: 1710.p2
    torsion:
    - 2
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  - degree: 8
    field:
    - -242
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    - -92
    - -49
    - 58
    - -43
    - 19
    - -4
    - 1
    id: 86767
    lmfdb_label: 1710.p2
    torsion:
    - 6
  - degree: 8
    field:
    - 196
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    - 503
    - 278
    - 151
    - 16
    - -19
    - -2
    - 1
    id: 86766
    lmfdb_label: 1710.p2
    torsion:
    - 2
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  - degree: 16
    field:
    - 11872
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    - -4792
    - -13792
    - 2952
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    - -578
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    - 1
    id: 86769
    lmfdb_label: 1710.p2
    torsion:
    - 2
    - 6
  - degree: 16
    field:
    - 64000
    - 76800
    - 108800
    - 69120
    - 17840
    - -14784
    - 57296
    - 81600
    - 10828
    - -22896
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    - 2592
    - 1100
    - -72
    - -56
    - 0
    - 1
    id: 86768
    lmfdb_label: 1710.p2
    torsion:
    - 8
- - conductor: 1710
    conductor_valuation: 1
    discriminant_valuation: 10
    id: 27264
    j_denominator_valuation: 10
    kodaira_symbol: 14
    lmfdb_label: 1710.p2
    prime: 2
    reduction_type: 1
    root_number: -1
    tamagawa_number: 10
  - conductor: 1710
    conductor_valuation: 2
    discriminant_valuation: 3
    id: 27265
    j_denominator_valuation: 0
    kodaira_symbol: 3
    lmfdb_label: 1710.p2
    prime: 3
    reduction_type: 0
    root_number: 1
    tamagawa_number: 2
  - conductor: 1710
    conductor_valuation: 1
    discriminant_valuation: 2
    id: 27266
    j_denominator_valuation: 2
    kodaira_symbol: 6
    lmfdb_label: 1710.p2
    prime: 5
    reduction_type: 1
    root_number: -1
    tamagawa_number: 2
  - conductor: 1710
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 27267
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 1710.p2
    prime: 19
    reduction_type: -1
    root_number: 1
    tamagawa_number: 1
- - adelic_gens:
    - - 1
      - 0
      - 4
      - 1
    - - 308
      - 1
      - 151
      - 0
    - - 3
      - 4
      - 8
      - 11
    - - 194
      - 1
      - 359
      - 0
    - - 1
      - 2
      - 2
      - 5
    - - 1
      - 4
      - 0
      - 1
    - - 453
      - 4
      - 452
      - 5
    - - 229
      - 4
      - 2
      - 9
    - - 289
      - 172
      - 56
      - 399
    adelic_image: 456.12.0.?
    conductor: 1710
    id: 1675236
    lmfdb_label: 1710.p2
    prime: 0
  - conductor: 1710
    elladic_image: 2.3.0.1
    id: 8413
    lmfdb_label: 1710.p2
    modell_image: 2B
    prime: 2
- - id: 47242
    lmfdb_iso: 1710.p
    p: 7
    prec: 20
    unit: 7870773137977566
    val: 1
  - id: 47240
    lmfdb_iso: 1710.p
    p: 11
    prec: 20
    unit: 14306990711403540606
    val: 1
  - id: 47247
    lmfdb_iso: 1710.p
    p: 17
    prec: 20
    unit: 193801387105518333104711
    val: 1
  - id: 47251
    lmfdb_iso: 1710.p
    p: 23
    prec: 20
    unit: 18144900904505175619407982
    val: 1
  - id: 47245
    lmfdb_iso: 1710.p
    p: 29
    prec: 20
    unit: 3304594987064979641553976957
    val: 1
  - id: 47255
    lmfdb_iso: 1710.p
    p: 31
    prec: 20
    unit: 4720365463049279125652936263
    val: 1
  - id: 47241
    lmfdb_iso: 1710.p
    p: 37
    prec: 20
    unit: 465595103977295656556310594866
    val: 1
  - id: 47243
    lmfdb_iso: 1710.p
    p: 41
    prec: 20
    unit: 4320328416400376083669243836381
    val: 1
  - id: 47244
    lmfdb_iso: 1710.p
    p: 43
    prec: 20
    unit: 7910144659882639986497345213191
    val: 1
  - id: 47249
    lmfdb_iso: 1710.p
    p: 53
    prec: 20
    unit: 262507385347281383923214515289783
    val: 1
  - id: 47253
    lmfdb_iso: 1710.p
    p: 59
    prec: 20
    unit: 767741102950039248237693385217387
    val: 1
  - id: 47254
    lmfdb_iso: 1710.p
    p: 61
    prec: 20
    unit: 2191854477902576612237030480901015
    val: 1
  - id: 47239
    lmfdb_iso: 1710.p
    p: 67
    prec: 20
    unit: 29932101891210961376522719190463717
    val: 1
  - id: 47250
    lmfdb_iso: 1710.p
    p: 73
    prec: 20
    unit: 6484459873336295179094361819517227
    val: 1
  - id: 47246
    lmfdb_iso: 1710.p
    p: 79
    prec: 20
    unit: 721878404110657661819601722288895270
    val: 1
  - id: 47248
    lmfdb_iso: 1710.p
    p: 83
    prec: 20
    unit: 2435029872397113051396167329567048153
    val: 1
  - id: 47252
    lmfdb_iso: 1710.p
    p: 89
    prec: 20
    unit: 5699877868957620917007577709681754422
    val: 1
  - id: 47238
    lmfdb_iso: 1710.p
    p: 97
    prec: 20
    unit: 43304832460159494297415166158684543802
    val: 1
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 1710.p2
- 1710.p
- 1710.p2
- 1710.p2
- 1710.p2
- 1710.p2
- 1710.p2
- 1710.p
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-25T01:15:05.639929'