data:
- - Ciso: 162240gt
    Clabel: 162240gt3
    Cnumber: 3
    abc_quality: 0.9987247425955773
    absD: 285863368698086400000000
    adelic_genus: 3
    adelic_index: 192
    adelic_level: 1040
    ainvs:
    - 0
    - -1
    - 0
    - -22632705
    - -48770072703
    analytic_rank: 0
    bad_primes:
    - 2
    - 3
    - 5
    - 13
    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 162240
    degree: 16515072
    elladic_images:
    - 8.48.0.6
    faltings_height:
      __RealLiteral__: 0
      data: '3.2211486780399254974019339579'
      prec: 100
    faltings_index: 3
    faltings_ratio: 4
    id: 1050038
    iso_nlabel: 56
    isogeny_degrees:
    - 1
    - 2
    - 4
    jinv:
    - -4053153720264484
    - 903687890625
    lmfdb_iso: 162240.ce
    lmfdb_label: 162240.ce3
    lmfdb_number: 3
    manin_constant: 1
    min_quad_twist_ainvs:
    - 0
    - 1
    - 0
    - -33480
    - -2786400
    min_quad_twist_disc: 104
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 4.24.0.c.1
    - 8.48.0-4.c.1.3
    - 104.96.1.?
    - 1040.192.3.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 4
    num_int_pts: 1
    optimality: 0
    potential_good_reduction: false
    rank: 0
    regulator: 1
    semistable: false
    sha: 1
    sha_primes: []
    signD: -1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '1.0144777585625633834855474085'
      prec: 100
    szpiro_ratio: 5.230065761643612
    torsion: 2
    torsion_primes:
    - 2
    torsion_structure:
    - 2
- - anlist:
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    - 1
    - 0
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    - 0
    - 1
    - 0
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    - 0
    - 0
    - 0
    - 0
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    - 0
    - 0
    - 0
    aplist:
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    - 0
    - 0
    - 2
    - 0
    - 0
    - 2
    - 4
    - 6
    - 6
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    - 4
    - 10
    - 0
    - 2
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    - -4
    - 6
    - -8
    - 8
    - 6
    - 14
    class_deg: 4
    class_size: 4
    conductor: 162240
    id: 712287
    isogeny_matrix:
    - - 1
      - 2
      - 4
      - 4
    - - 2
      - 1
      - 2
      - 2
    - - 4
      - 2
      - 1
      - 4
    - - 4
      - 2
      - 4
      - 1
    lmfdb_iso: 162240.ce
    trace_hash: 1842222665325205291
- - area:
      __RealLiteral__: 0
      data: '0.0015927433755878599709325635595'
      prec: 110
    conductor: 162240
    gens: []
    heights: []
    id: 1050038
    lmfdb_label: 162240.ce3
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '0.034202357447447950914463848784'
      prec: 107
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '2.1889508766366688585256863222000513195'
      prec: 130
    tamagawa_product: 256
    torsion_generators:
    - - 5599
      - 0
      - 1
    xcoord_integral_points:
    - 5599
- []
- - degree: 2
    field:
    - -26
    - 0
    - 1
    id: 7249697
    lmfdb_label: 162240.ce3
    torsion:
    - 4
  - degree: 2
    field:
    - 1
    - 0
    - 1
    id: 7249696
    lmfdb_label: 162240.ce3
    torsion:
    - 2
    - 2
  - degree: 2
    field:
    - 26
    - 0
    - 1
    id: 7249698
    lmfdb_label: 162240.ce3
    torsion:
    - 4
  - degree: 4
    field:
    - 169
    - 0
    - 0
    - 0
    - 1
    id: 7249699
    lmfdb_label: 162240.ce3
    torsion:
    - 4
    - 4
  - degree: 8
    field:
    - -24843
    - 0
    - 2782
    - 0
    - -546
    - 0
    - 0
    - 0
    - 1
    id: 7249702
    lmfdb_label: 162240.ce3
    torsion:
    - 6
  - degree: 8
    field:
    - 9
    - 0
    - -8
    - 0
    - 3
    - 0
    - -6
    - 0
    - 1
    id: 7249700
    lmfdb_label: 162240.ce3
    torsion:
    - 8
  - degree: 8
    field:
    - 9
    - 0
    - 8
    - 0
    - 3
    - 0
    - 6
    - 0
    - 1
    id: 7249701
    lmfdb_label: 162240.ce3
    torsion:
    - 8
  - degree: 16
    field:
    - 1
    - -8
    - 50
    - -144
    - 226
    - -136
    - -174
    - 340
    - -21
    - -380
    - 318
    - -28
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    id: 7249703
    lmfdb_label: 162240.ce3
    torsion:
    - 4
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  - degree: 16
    field:
    - 62500
    - 0
    - -88400
    - 0
    - 56648
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    - 0
    - -1320
    - 0
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    - 0
    - -32
    - 0
    - 1
    id: 7249704
    lmfdb_label: 162240.ce3
    torsion:
    - 4
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  - degree: 16
    field:
    - 793548900
    - 0
    - -279822600
    - 0
    - 30237300
    - 0
    - -501536
    - 0
    - 194732
    - 0
    - 7804
    - 0
    - -1064
    - 0
    - 8
    - 0
    - 1
    id: 7249705
    lmfdb_label: 162240.ce3
    torsion:
    - 2
    - 6
  - degree: 16
    field:
    - 5529409600
    - 0
    - -2819190400
    - 0
    - 181979200
    - 0
    - -6662656
    - 0
    - -2357888
    - 0
    - -24856
    - 0
    - 2236
    - 0
    - -52
    - 0
    - 1
    id: 7249706
    lmfdb_label: 162240.ce3
    torsion:
    - 12
  - degree: 16
    field:
    - 5809335961
    - 0
    - 3844934548
    - 0
    - -154715444
    - 0
    - 9674236
    - 0
    - 1557166
    - 0
    - -21476
    - 0
    - 2236
    - 0
    - 52
    - 0
    - 1
    id: 7249707
    lmfdb_label: 162240.ce3
    torsion:
    - 12
- - conductor: 162240
    conductor_valuation: 6
    discriminant_valuation: 16
    id: 4014644
    j_denominator_valuation: 0
    kodaira_symbol: -10
    lmfdb_label: 162240.ce3
    prime: 2
    reduction_type: 0
    root_number: 1
    tamagawa_number: 4
  - conductor: 162240
    conductor_valuation: 1
    discriminant_valuation: 4
    id: 4014645
    j_denominator_valuation: 4
    kodaira_symbol: 8
    lmfdb_label: 162240.ce3
    prime: 3
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
  - conductor: 162240
    conductor_valuation: 1
    discriminant_valuation: 8
    id: 4014646
    j_denominator_valuation: 8
    kodaira_symbol: 12
    lmfdb_label: 162240.ce3
    prime: 5
    reduction_type: 1
    root_number: -1
    tamagawa_number: 8
  - conductor: 162240
    conductor_valuation: 2
    discriminant_valuation: 10
    id: 4014647
    j_denominator_valuation: 4
    kodaira_symbol: -8
    lmfdb_label: 162240.ce3
    prime: 13
    reduction_type: 0
    root_number: 1
    tamagawa_number: 4
- - adelic_gens:
    - - 417
      - 16
      - 216
      - 129
    - - 5
      - 16
      - 64
      - 205
    - - 1
      - 16
      - 0
      - 1
    - - 479
      - 1024
      - 876
      - 975
    - - 1025
      - 16
      - 1024
      - 17
    - - 338
      - 717
      - 721
      - 326
    - - 1
      - 12
      - 4
      - 49
    - - 767
      - 908
      - 800
      - 763
    - - 1
      - 0
      - 16
      - 1
    adelic_image: 1040.192.3.?
    conductor: 162240
    id: 2712737
    lmfdb_label: 162240.ce3
    prime: 0
  - conductor: 162240
    elladic_image: 8.48.0.6
    id: 616797
    lmfdb_label: 162240.ce3
    modell_image: 2B
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 162240.ce3
- 162240.ce
- 162240.ce3
- 162240.ce3
- 162240.ce3
- 162240.ce3
- 162240.ce3
- 162240.ce
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-05-17T12:38:31.703557'