Elliptic curve data - 3328.f1

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  intrinsic_torsion	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '3328g', 'Clabel': '3328g1', 'Cnumber': 1, 'abc_quality': 0.7338285195750366, 'absD': 425984, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 1040, 'ainvs': [0, -1, 0, -29, -59], 'analytic_rank': 0, 'bad_primes': [2, 13], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 3328, 'degree': 384, 'elladic_images': ['5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.19062329323051277759122819222', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 5], 'jinv': [-85184, 13], 'lmfdb_iso': '3328.f', 'lmfdb_label': '3328.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -7, 11], 'min_quad_twist_disc': -8, 'modell_images': ['5B'], 'modm_images': ['5.6.0.a.1', '40.12.0.bp.1', '80.24.0.?', '104.2.0.?', '260.12.0.?', '520.24.1.?', '1040.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 13], [13, 14, 256]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0570572689304444143627683440', 'prec': 103}, 'szpiro_ratio': 2.710664107869445, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 0, -1, 0, 3, 0, 3, 0, -2, 0, 0, 0, -1, 0, -3, 0, -7, 0, -4, 0], 'aplist': [0, -1, 3, 3, 0, -1, -7, -4, 4, 4, 8, 7, -2, 1, 7, 4, 14, 10, 2, -3, -14, 10, 14, 0, 8], 'class_deg': 5, 'class_size': 2, 'conductor': 3328, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '3328.f', 'trace_hash': 632016762609911120}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '1.4641085902567399453198377113', 'prec': 100}, 'conductor': 3328, 'gens': [], 'heights': [], 'lmfdb_label': '3328.f1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.0171593327395001223046172522', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0343186654790002446092345043492621448', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': [0, 0], '7': [0, 0], '11': [0, 0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [4, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '3328.f1'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 173596
    {'degree': 3, 'field': [-2, -1, 0, 1], 'lmfdb_label': '3328.f1', 'torsion': [2]}
  • id: 173597
    {'degree': 4, 'field': [2, 0, 4, 0, 1], 'lmfdb_label': '3328.f1', 'torsion': [5]}
  • id: 173598
    {'degree': 6, 'field': [26, 0, 29, 0, 8, 0, 1], 'lmfdb_label': '3328.f1', 'torsion': [2, 2]}
  • id: 173599
    {'degree': 8, 'field': [-2700, 0, 1312, 0, -180, 0, 0, 0, 1], 'lmfdb_label': '3328.f1', 'torsion': [3]}
  • id: 173600
    {'degree': 12, 'field': [-104, 0, 824, 0, 577, 0, -284, 0, -10, 0, 12, 0, 1], 'lmfdb_label': '3328.f1', 'torsion': [4]}
  • id: 173601
    {'degree': 12, 'field': [2, 0, 4, 0, -7, 0, -8, 0, 6, 0, 4, 0, 1], 'lmfdb_label': '3328.f1', 'torsion': [10]}
  • id: 173602
    {'degree': 20, 'field': [1175056000, 0, -1005379200, 0, -94530544, 0, 50744000, 0, 8369792, 0, -29360, 0, -33096, 0, 4480, 0, 178, 0, -20, 0, 1], 'lmfdb_label': '3328.f1', 'torsion': [5]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 60471
    {'conductor': 3328, 'conductor_valuation': 8, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '3328.f1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 60472
    {'conductor': 3328, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3328.f1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1685624
    {'adelic_gens': [[253, 1030, 715, 947], [391, 790, 0, 807], [1031, 10, 1030, 11], [129, 1030, 645, 989], [6, 13, 985, 921], [1, 0, 10, 1], [1, 10, 0, 1], [561, 10, 725, 51]], 'adelic_image': '1040.48.1.?', 'conductor': 3328, 'lmfdb_label': '3328.f1', 'prime': 0}
  • id: 16687
    {'conductor': 3328, 'elladic_image': '5.6.0.1', 'lmfdb_label': '3328.f1', 'modell_image': '5B', 'prime': 5}
• lmfdb_iso 3328.f does not appear in ec_padic