Elliptic curve data - 43200.fr1

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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': '43200hw', 'Clabel': '43200hw1', 'Cnumber': 1, 'abc_quality': 1.2039689893561185, 'absD': 1160950579200, 'adelic_genus': 1, 'adelic_index': 40, 'adelic_level': 60, 'ainvs': [0, 0, 0, -2700, 15120], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 43200, 'degree': 55296, 'elladic_images': ['5.10.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0063485414340439890896120559', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 147, 'isogeny_degrees': [1], 'jinv': [1875, 1], 'lmfdb_iso': '43200.fr', 'lmfdb_label': '43200.fr1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -5, 2], 'min_quad_twist_disc': 24, 'modell_images': ['5Nn'], 'modm_images': ['5.10.0.a.1', '12.2.0.a.1', '15.20.0.b.1', '20.20.0.c.1', '60.40.1.n.1'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0288113109430278935391605789', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 675], [3, 4, 1600], [5, 10, 1728]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3086731460906579212486708157', 'prec': 103}, 'szpiro_ratio': 3.3087841188403457, '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, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, -5, 0, 0, 0, 4, 0, -2, 0], 'aplist': [0, 0, 0, 0, 5, -5, 4, -2, 3, -10, -6, 5, 10, -10, 5, 2, 5, 11, 0, 5, -10, -12, 12, 0, -5], 'class_deg': 1, 'class_size': 1, 'conductor': 43200, 'isogeny_matrix': [[1]], 'lmfdb_iso': '43200.fr', 'trace_hash': 1393962033383304325}
• 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': '0.13362778300596662553535077245', 'prec': 103}, 'conductor': 43200, 'gens': [[-14, 224, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.0288113109430278935391605789', 'prec': 100}], 'lmfdb_label': '43200.fr1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.75928429356033348996532648585', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.1617782519863640790679872040660503280', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [-14]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 3, 0], '11': [1, 0], '13': [1, 0], '17': [3, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '43200.fr1'}
• ec_torsion_growth •

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

  
  
  • id: 2117104
    {'degree': 3, 'field': [-20, -15, 0, 1], 'lmfdb_label': '43200.fr1', 'torsion': [2]}
  • id: 2117105
    {'degree': 6, 'field': [-8, 0, 42, -10, -21, 0, 1], 'lmfdb_label': '43200.fr1', 'torsion': [2, 2]}
  • id: 2117106
    {'degree': 8, 'field': [-1200, 0, -3160, 0, 120, 0, 0, 0, 1], 'lmfdb_label': '43200.fr1', 'torsion': [3]}
  • id: 2117107
    {'degree': 12, 'field': [-1544, 6936, 10374, 100, -4710, 756, -1044, 264, 150, -80, 39, -6, 1], 'lmfdb_label': '43200.fr1', 'torsion': [4]}
• 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: 1026183
    {'conductor': 43200, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '43200.fr1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1026184
    {'conductor': 43200, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '43200.fr1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1026185
    {'conductor': 43200, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '43200.fr1', 'prime': 5, 'reduction_type': 0, '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: 1952011
    {'adelic_gens': [[3, 10, 31, 37], [5, 8, 8, 1], [31, 10, 35, 51], [51, 10, 50, 11], [3, 13, 53, 22], [1, 0, 10, 1], [6, 5, 25, 21], [1, 10, 0, 1]], 'adelic_image': '60.40.1.?', 'conductor': 43200, 'lmfdb_label': '43200.fr1', 'prime': 0}
  • id: 188264
    {'conductor': 43200, 'elladic_image': '5.10.0.1', 'lmfdb_label': '43200.fr1', 'modell_image': '5Nn', 'prime': 5}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 2152447
    {'lmfdb_iso': '43200.fr', 'p': 11, 'prec': 20, 'unit': 56310038773413504349, 'val': 1}
  • id: 2152453
    {'lmfdb_iso': '43200.fr', 'p': 13, 'prec': 20, 'unit': 151563604582712747095, 'val': 1}
  • id: 2152455
    {'lmfdb_iso': '43200.fr', 'p': 17, 'prec': 20, 'unit': 6844715773949524823779, 'val': 2}
  • id: 2152456
    {'lmfdb_iso': '43200.fr', 'p': 19, 'prec': 20, 'unit': 888295980147362978037971, 'val': 1}
  • id: 2152460
    {'lmfdb_iso': '43200.fr', 'p': 23, 'prec': 20, 'unit': 68478372469725398664721295, 'val': 1}
  • id: 2152452
    {'lmfdb_iso': '43200.fr', 'p': 29, 'prec': 20, 'unit': 2451539373647466425387534322, 'val': 1}
  • id: 2152463
    {'lmfdb_iso': '43200.fr', 'p': 31, 'prec': 20, 'unit': 13812413754964929095341310438, 'val': 1}
  • id: 2152448
    {'lmfdb_iso': '43200.fr', 'p': 37, 'prec': 20, 'unit': 387033925307576050050520061531, 'val': 1}
  • id: 2152450
    {'lmfdb_iso': '43200.fr', 'p': 41, 'prec': 20, 'unit': 1183510673138695454639039464715, 'val': 1}
  • id: 2152451
    {'lmfdb_iso': '43200.fr', 'p': 43, 'prec': 20, 'unit': 4114175967432934850662484159462, 'val': 1}
  • id: 2152461
    {'lmfdb_iso': '43200.fr', 'p': 47, 'prec': 20, 'unit': 4694124539688086289840567119309, 'val': 1}
  • id: 2152457
    {'lmfdb_iso': '43200.fr', 'p': 53, 'prec': 20, 'unit': 507954239305997815675509038029729, 'val': 1}
  • id: 2152458
    {'lmfdb_iso': '43200.fr', 'p': 59, 'prec': 20, 'unit': 3459028807579826489909313133775038, 'val': 1}
  • id: 2152462
    {'lmfdb_iso': '43200.fr', 'p': 61, 'prec': 20, 'unit': 876240750810350260480648066773776, 'val': 1}
  • id: 2152449
    {'lmfdb_iso': '43200.fr', 'p': 71, 'prec': 20, 'unit': 1274848433885721105346778796991939, 'val': 2}
  • id: 2152459
    {'lmfdb_iso': '43200.fr', 'p': 73, 'prec': 20, 'unit': 53820985947344232185544517205401356, 'val': 1}
  • id: 2152454
    {'lmfdb_iso': '43200.fr', 'p': 79, 'prec': 20, 'unit': 1013714470035999458894787084472385132, 'val': 1}
  • id: 2152446
    {'lmfdb_iso': '43200.fr', 'p': 83, 'prec': 20, 'unit': 1960355719212878118754553383125192443, 'val': 1}
  • id: 2152445
    {'lmfdb_iso': '43200.fr', 'p': 97, 'prec': 20, 'unit': 35392493902274771886483061078866653063, 'val': 1}