data:
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    Clabel: 4025a4
    Cnumber: 4
    abc_quality: 0.9793224770887127
    absD: 30607609375
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 6440
    ainvs:
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    - 0
    - 658
    - 5191
    analytic_rank: 0
    bad_primes:
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    - 7
    - 23
    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 4025
    degree: 2560
    elladic_images:
    - 4.6.0.1
    faltings_height:
      __RealLiteral__: 0
      data: '0.69908510902360492517159946386'
      prec: 103
    faltings_index: 2
    faltings_ratio: 4
    id: 24472
    iso_nlabel: 4
    isogeny_degrees:
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    - 4
    jinv:
    - 2014698447
    - 1958887
    lmfdb_iso: 4025.e
    lmfdb_label: 4025.e4
    lmfdb_number: 4
    manin_constant: 1
    min_quad_twist_ainvs:
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    - 1
    - 26
    - 36
    min_quad_twist_disc: 5
    modell_images:
    - 2B
    modm_images:
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    - 4.6.0.c.1
    - 14.6.0.b.1
    - 20.12.0-4.c.1.1
    - 28.12.0.g.1
    - 140.24.0.?
    - 184.12.0.?
    - 920.24.0.?
    - 1288.24.0.?
    - 6440.48.0.?
    nonmax_primes:
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    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: '-0.10563384719344526212878020275'
      prec: 107
    szpiro_ratio: 3.7444956231300157
    torsion: 2
    torsion_primes:
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    torsion_structure:
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    aplist:
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    - 0
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    - 8
    - 14
    - 8
    - 4
    - 6
    - 10
    class_deg: 4
    class_size: 4
    conductor: 4025
    id: 13437
    isogeny_matrix:
    - - 1
      - 2
      - 4
      - 4
    - - 2
      - 1
      - 2
      - 2
    - - 4
      - 2
      - 1
      - 4
    - - 4
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    lmfdb_iso: 4025.e
    trace_hash: 440634469277035009
- - area:
      __RealLiteral__: 0
      data: '0.24704859568363602051016381465'
      prec: 103
    conductor: 4025
    gens: []
    heights: []
    id: 24472
    lmfdb_label: 4025.e4
    ngens: 0
    rank_bounds:
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    - 0
    real_period:
      __RealLiteral__: 0
      data: '0.77174248321588238645404284847'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '1.5434849664317647729080856969377655934'
      prec: 130
    tamagawa_product: 8
    torsion_generators:
    - - -29
      - 29
      - 2
    xcoord_integral_points: []
- - id: 24472
    iwdata:
      '2':
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      '23':
      - 1
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      '5': a
      '7':
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      - 0
    iwp0: 3
    lmfdb_label: 4025.e4
- - degree: 2
    field:
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    id: 209081
    lmfdb_label: 4025.e4
    torsion:
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  - degree: 2
    field:
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    id: 209080
    lmfdb_label: 4025.e4
    torsion:
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  - degree: 2
    field:
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    id: 209082
    lmfdb_label: 4025.e4
    torsion:
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    field:
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    id: 209083
    lmfdb_label: 4025.e4
    torsion:
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  - degree: 8
    field:
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    id: 209084
    lmfdb_label: 4025.e4
    torsion:
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  - degree: 8
    field:
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    - 0
    - 2352
    - 0
    - -3927
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    - -84
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    id: 209085
    lmfdb_label: 4025.e4
    torsion:
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  - degree: 8
    field:
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    - -1806
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    - -441
    - 240
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    id: 209087
    lmfdb_label: 4025.e4
    torsion:
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  - degree: 8
    field:
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    id: 209086
    lmfdb_label: 4025.e4
    torsion:
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  - degree: 16
    field:
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    id: 209092
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    torsion:
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    field:
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    id: 209088
    lmfdb_label: 4025.e4
    torsion:
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  - degree: 16
    field:
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    id: 209093
    lmfdb_label: 4025.e4
    torsion:
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  - degree: 16
    field:
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    id: 209091
    lmfdb_label: 4025.e4
    torsion:
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  - degree: 16
    field:
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    id: 209090
    lmfdb_label: 4025.e4
    torsion:
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  - degree: 16
    field:
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    id: 209089
    lmfdb_label: 4025.e4
    torsion:
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- - conductor: 4025
    conductor_valuation: 2
    discriminant_valuation: 6
    id: 75136
    j_denominator_valuation: 0
    kodaira_symbol: -1
    lmfdb_label: 4025.e4
    prime: 5
    reduction_type: 0
    root_number: 1
    tamagawa_number: 2
  - conductor: 4025
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 75137
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 4025.e4
    prime: 7
    reduction_type: -1
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    tamagawa_number: 1
  - conductor: 4025
    conductor_valuation: 1
    discriminant_valuation: 4
    id: 75138
    j_denominator_valuation: 4
    kodaira_symbol: 8
    lmfdb_label: 4025.e4
    prime: 23
    reduction_type: 1
    root_number: -1
    tamagawa_number: 4
- - adelic_gens:
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      - 1130
      - 5970
      - 171
    - - 281
      - 5160
      - 3700
      - 1321
    - - 1
      - 0
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    - - 1
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    - - 4056
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      - 3866
    - - 3863
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    - - 6433
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    - - 7
      - 6
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      - 6435
    - - 491
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      - 530
      - 2421
    adelic_image: 6440.48.0.?
    conductor: 4025
    id: 1690092
    lmfdb_label: 4025.e4
    prime: 0
  - conductor: 4025
    elladic_image: 4.6.0.1
    id: 19893
    lmfdb_label: 4025.e4
    modell_image: 2B
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 4025.e4
- 4025.e
- 4025.e4
- 4025.e4
- 4025.e4
- 4025.e4
- 4025.e4
- 4025.e
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-25T14:49:28.960665'