data:
- - Ciso: 7098o
    Clabel: 7098o4
    Cnumber: 4
    abc_quality: 1.108468934408634
    absD: 862706477061653436576
    adelic_genus: 5
    adelic_index: 288
    adelic_level: 10920
    ainvs:
    - 1
    - 0
    - 1
    - -1932857
    - 1751063420
    analytic_rank: 0
    bad_primes:
    - 2
    - 3
    - 7
    - 13
    class_deg: 10
    class_size: 4
    cm: 0
    conductor: 7098
    degree: 312000
    elladic_images:
    - 2.3.0.1
    - 5.6.0.1
    faltings_height:
      __RealLiteral__: 0
      data: '2.7120942020628710749941049723'
      prec: 100
    faltings_index: 3
    faltings_ratio: 10
    id: 45476
    iso_nlabel: 10
    isogeny_degrees:
    - 1
    - 2
    - 5
    - 10
    jinv:
    - -75306487574989
    - 81352871712
    lmfdb_iso: 7098.k
    lmfdb_label: 7098.k2
    lmfdb_number: 2
    manin_constant: 1
    min_quad_twist_ainvs:
    - 1
    - 0
    - 0
    - -11437
    - 796145
    min_quad_twist_disc: 13
    modell_images:
    - 2B
    - 5B
    modm_images:
    - 2.3.0.a.1
    - 5.6.0.a.1
    - 10.18.0.a.1
    - 40.36.0.f.1
    - 65.24.0-65.a.1.2
    - 104.6.0.?
    - 130.72.0.?
    - 168.6.0.?
    - 420.36.0.?
    - 520.144.1.?
    - 840.72.1.?
    - 1092.6.0.?
    - 2184.12.0.?
    - 5460.144.1.?
    - 10920.288.5.?
    nonmax_primes:
    - 2
    - 5
    nonmax_rad: 10
    num_bad_primes: 4
    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: '0.78838218396671852295398939113'
      prec: 103
    szpiro_ratio: 6.3253313207597435
    torsion: 2
    torsion_primes:
    - 2
    torsion_structure:
    - 2
- - anlist:
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    - 1
    - -1
    - 1
    - 1
    - -2
    - -1
    - 1
    - -1
    - 1
    - 2
    - 0
    - 1
    - 0
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    - 1
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    - -1
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    aplist:
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    - 0
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    - 0
    - 0
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    - 8
    - 4
    - -6
    - 12
    - 2
    - 0
    - -14
    - 0
    - 14
    - 4
    - 2
    class_deg: 10
    class_size: 4
    conductor: 7098
    id: 26105
    isogeny_matrix:
    - - 1
      - 2
      - 5
      - 10
    - - 2
      - 1
      - 10
      - 5
    - - 5
      - 10
      - 1
      - 2
    - - 10
      - 5
      - 2
      - 1
    lmfdb_iso: 7098.k
    trace_hash: 1203744516179245407
- - area:
      __RealLiteral__: 0
      data: '0.0044086427465055326005006836392'
      prec: 110
    conductor: 7098
    gens: []
    heights: []
    id: 45476
    lmfdb_label: 7098.k2
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '0.14359735516311405743640321004'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '1.4359735516311405743640321003967316995'
      prec: 130
    tamagawa_product: 40
    torsion_generators:
    - - -6873
      - 6869
      - 2
    xcoord_integral_points: []
- - id: 45476
    iwdata:
      '13': a
      '2':
      - 1
      - 1
      '3':
      - 3
      - 0
      '5':
      - 6
      - 0
      '7':
      - 3
      - 0
    iwp0: 7
    lmfdb_label: 7098.k2
- - degree: 2
    field:
    - 26
    - 0
    - 1
    id: 373629
    lmfdb_label: 7098.k2
    torsion:
    - 2
    - 2
  - degree: 4
    field:
    - -1664
    - 0
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    - 0
    - 1
    id: 373630
    lmfdb_label: 7098.k2
    torsion:
    - 4
  - degree: 4
    field:
    - -49
    - 69
    - -24
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    id: 373631
    lmfdb_label: 7098.k2
    torsion:
    - 10
  - degree: 8
    field:
    - 3844
    - 0
    - 2736
    - 0
    - 580
    - 0
    - 24
    - 0
    - 1
    id: 373633
    lmfdb_label: 7098.k2
    torsion:
    - 2
    - 4
  - degree: 8
    field:
    - 5929
    - 0
    - 4970
    - 0
    - 786
    - 0
    - -22
    - 0
    - 1
    id: 373632
    lmfdb_label: 7098.k2
    torsion:
    - 2
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  - degree: 8
    field:
    - 6152
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    - 327
    - -54
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    - 1
    id: 373634
    lmfdb_label: 7098.k2
    torsion:
    - 6
  - degree: 8
    field:
    - 38416
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    - 1
    id: 373635
    lmfdb_label: 7098.k2
    torsion:
    - 2
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  - degree: 16
    field:
    - 256
    - 0
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    id: 373638
    lmfdb_label: 7098.k2
    torsion:
    - 20
  - degree: 16
    field:
    - 1213990092
    - 2204700120
    - 2116524816
    - 986034348
    - 213404157
    - -42005208
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    - -773216
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    - -6612
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    - -96
    - 22
    - -4
    - 1
    id: 373637
    lmfdb_label: 7098.k2
    torsion:
    - 2
    - 6
  - degree: 16
    field:
    - 2561647032
    - 2051845992
    - 1234194948
    - 486895248
    - 266252694
    - 189548082
    - 69815187
    - 21333606
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    - 649780
    - 115510
    - 34660
    - 796
    - 154
    - 79
    - -2
    - 1
    id: 373636
    lmfdb_label: 7098.k2
    torsion:
    - 8
  - degree: 20
    field:
    - 14348907
    - 0
    - 0
    - 0
    - 0
    - -905418
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    - 0
    - 0
    - 0
    - 14580
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    - 1
    id: 373639
    lmfdb_label: 7098.k2
    torsion:
    - 10
- - conductor: 7098
    conductor_valuation: 1
    discriminant_valuation: 5
    id: 145692
    j_denominator_valuation: 5
    kodaira_symbol: 9
    lmfdb_label: 7098.k2
    prime: 2
    reduction_type: -1
    root_number: 1
    tamagawa_number: 1
  - conductor: 7098
    conductor_valuation: 1
    discriminant_valuation: 2
    id: 145693
    j_denominator_valuation: 2
    kodaira_symbol: 6
    lmfdb_label: 7098.k2
    prime: 3
    reduction_type: 1
    root_number: -1
    tamagawa_number: 2
  - conductor: 7098
    conductor_valuation: 1
    discriminant_valuation: 10
    id: 145694
    j_denominator_valuation: 10
    kodaira_symbol: 14
    lmfdb_label: 7098.k2
    prime: 7
    reduction_type: 1
    root_number: -1
    tamagawa_number: 10
  - conductor: 7098
    conductor_valuation: 2
    discriminant_valuation: 9
    id: 145695
    j_denominator_valuation: 0
    kodaira_symbol: -3
    lmfdb_label: 7098.k2
    prime: 13
    reduction_type: 0
    root_number: -1
    tamagawa_number: 2
- - adelic_gens:
    - - 10901
      - 20
      - 10900
      - 21
    - - 8737
      - 20
      - 0
      - 1
    - - 3641
      - 6
      - 0
      - 1
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    - - 1
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      - 101
    - - 6
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    - - 7801
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      - 0
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    - - 1
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      - 20
      - 1
    - - 11
      - 16
      - 10680
      - 10571
    - - 822
      - 10915
      - 5585
      - 10838
    - - 1
      - 20
      - 0
      - 1
    adelic_image: 10920.288.5.?
    conductor: 7098
    id: 1710985
    lmfdb_label: 7098.k2
    prime: 0
  - conductor: 7098
    elladic_image: 2.3.0.1
    id: 35097
    lmfdb_label: 7098.k2
    modell_image: 2B
    prime: 2
  - conductor: 7098
    elladic_image: 5.6.0.1
    id: 35098
    lmfdb_label: 7098.k2
    modell_image: 5B
    prime: 5
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 7098.k2
- 7098.k
- 7098.k2
- 7098.k2
- 7098.k2
- 7098.k2
- 7098.k2
- 7098.k
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-24T05:21:08.110929'