data:
- - Ciso: 24a
    Clabel: 24a3
    Cnumber: 3
    abc_quality: 1.0561716345991692
    absD: 3072
    adelic_genus: 1
    adelic_index: 192
    adelic_level: 48
    ainvs:
    - 0
    - -1
    - 0
    - -64
    - 220
    analytic_rank: 0
    bad_primes:
    - 2
    - 3
    class_deg: 8
    class_size: 6
    cm: 0
    conductor: 24
    degree: 2
    elladic_images:
    - 16.96.0.106
    faltings_height:
      __RealLiteral__: 0
      data: '-0.29877869579988461795039461610'
      prec: 107
    faltings_index: 2
    faltings_ratio: 4
    id: 36
    iso_nlabel: 0
    isogeny_degrees:
    - 1
    - 2
    - 4
    - 8
    jinv:
    - 28756228
    - 3
    lmfdb_iso: 24.a
    lmfdb_label: 24.a2
    lmfdb_number: 2
    manin_constant: 1
    min_quad_twist_ainvs:
    - 0
    - -1
    - 0
    - -64
    - 220
    min_quad_twist_disc: 1
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 4.12.0-4.c.1.1
    - 8.48.0-8.bb.2.4
    - 12.24.0-12.h.1.2
    - 16.96.0-16.bb.2.4
    - 24.96.0-24.bn.1.3
    - 48.192.1-48.em.1.4
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 2
    num_int_pts: 3
    optimality: 0
    potential_good_reduction: false
    rank: 0
    regulator: 1
    semistable: false
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '-0.87640134626650570913142138398'
      prec: 107
    szpiro_ratio: 7.585093903458143
    torsion: 4
    torsion_primes:
    - 2
    torsion_structure:
    - 4
- - anlist:
    - 0
    - 1
    - 0
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    - 0
    - -2
    - 0
    - 0
    - 0
    - 1
    - 0
    - 4
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    - 0
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    - 0
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    aplist:
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    - 0
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    - 6
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    - -2
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    - 10
    - -8
    - -4
    - -6
    - 2
    class_deg: 8
    class_size: 6
    conductor: 24
    id: 7
    isogeny_matrix:
    - - 1
      - 8
      - 2
      - 4
      - 8
      - 4
    - - 8
      - 1
      - 4
      - 2
      - 4
      - 8
    - - 2
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      - 1
      - 2
      - 4
      - 2
    - - 4
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      - 2
      - 1
      - 2
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    - - 8
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      - 4
      - 2
      - 1
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    - - 4
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      - 2
      - 4
      - 8
      - 1
    lmfdb_iso: 24.a
    trace_hash: 906478665263567321
- - area:
      __RealLiteral__: 0
      data: '1.8176735089657194402812466671'
      prec: 100
    conductor: 24
    gens: []
    heights: []
    id: 36
    lmfdb_label: 24.a2
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '4.3130312949992864708773499976'
      prec: 100
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '0.53912891187491080885966874970005048289'
      prec: 133
    tamagawa_product: 2
    torsion_generators:
    - - 6
      - 4
      - 1
    xcoord_integral_points:
    - 5
    - 6
- - id: 36
    iwdata:
      '2': a
      '3':
      - 0
      - 0
    iwp0: 3
    lmfdb_label: 24.a2
- - degree: 2
    field:
    - -6
    - 0
    - 1
    id: 516
    lmfdb_label: 24.a2
    torsion:
    - 8
  - degree: 2
    field:
    - -3
    - 0
    - 1
    id: 515
    lmfdb_label: 24.a2
    torsion:
    - 2
    - 4
  - degree: 2
    field:
    - -2
    - 0
    - 1
    id: 517
    lmfdb_label: 24.a2
    torsion:
    - 8
  - degree: 4
    field:
    - 1
    - 0
    - -4
    - 0
    - 1
    id: 518
    lmfdb_label: 24.a2
    torsion:
    - 2
    - 8
  - degree: 8
    field:
    - -3
    - 0
    - 4
    - 0
    - -6
    - 0
    - 0
    - 0
    - 1
    id: 523
    lmfdb_label: 24.a2
    torsion:
    - 12
  - degree: 8
    field:
    - 1
    - -4
    - 8
    - -10
    - 7
    - -2
    - 2
    - -2
    - 1
    id: 519
    lmfdb_label: 24.a2
    torsion:
    - 4
    - 4
  - degree: 8
    field:
    - 9
    - 0
    - -36
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    - 36
    - 0
    - -12
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    id: 521
    lmfdb_label: 24.a2
    torsion:
    - 2
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  - degree: 8
    field:
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    id: 522
    lmfdb_label: 24.a2
    torsion:
    - 16
  - degree: 8
    field:
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    - 0
    - 0
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    - 0
    - 0
    - 1
    id: 520
    lmfdb_label: 24.a2
    torsion:
    - 2
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  - degree: 16
    field:
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    - 4
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    - 26
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    - 16
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    id: 527
    lmfdb_label: 24.a2
    torsion:
    - 2
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  - degree: 16
    field:
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    - -232
    - 488
    - -564
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    - 396
    - -665
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    - -62
    - -152
    - 162
    - -92
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    - -8
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    id: 524
    lmfdb_label: 24.a2
    torsion:
    - 4
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  - degree: 16
    field:
    - 1
    - 0
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    - 0
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    - 0
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    - 0
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    - 0
    - -144
    - 0
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    id: 526
    lmfdb_label: 24.a2
    torsion:
    - 2
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  - degree: 16
    field:
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    id: 529
    lmfdb_label: 24.a2
    torsion:
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  - degree: 16
    field:
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    id: 528
    lmfdb_label: 24.a2
    torsion:
    - 24
  - degree: 16
    field:
    - 9
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    - 0
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    - 0
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    - 0
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    - 0
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    - 0
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    - 0
    - -6
    - 0
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    id: 525
    lmfdb_label: 24.a2
    torsion:
    - 4
    - 8
- - conductor: 24
    conductor_valuation: 3
    discriminant_valuation: 10
    id: 62
    j_denominator_valuation: 0
    kodaira_symbol: -3
    lmfdb_label: 24.a2
    prime: 2
    reduction_type: 0
    root_number: -1
    tamagawa_number: 2
  - conductor: 24
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 63
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 24.a2
    prime: 3
    reduction_type: -1
    root_number: 1
    tamagawa_number: 1
- - adelic_gens:
    - - 1
      - 0
      - 16
      - 1
    - - 1
      - 16
      - 0
      - 1
    - - 10
      - 19
      - 47
      - 30
    - - 13
      - 16
      - 12
      - 25
    - - 32
      - 5
      - 3
      - 34
    - - 15
      - 2
      - 46
      - 35
    - - 5
      - 4
      - 44
      - 45
    - - 33
      - 16
      - 32
      - 17
    adelic_image: 48.192.1.?
    conductor: 24
    id: 1665923
    lmfdb_label: 24.a2
    prime: 0
  - conductor: 24
    elladic_image: 16.96.0.106
    id: 45
    lmfdb_label: 24.a2
    modell_image: 2B
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 24.a2
- 24.a
- 24.a2
- 24.a2
- 24.a2
- 24.a2
- 24.a2
- 24.a
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-19T16:48:12.129393'