Elliptic curve data - 21184.d1

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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
  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
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '21184l', 'Clabel': '21184l1', 'Cnumber': 1, 'abc_quality': 0.7037747217767504, 'absD': 338944, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 662, 'ainvs': [0, 1, 0, -29, -77], 'analytic_rank': 1, 'bad_primes': [2, 331], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 21184, 'degree': 3328, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.20382582030043423815141962785', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1], 'jinv': [-2725888, 331], 'lmfdb_iso': '21184.d', 'lmfdb_label': '21184.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -7, 6], 'min_quad_twist_disc': -8, 'modell_images': [], 'modm_images': ['662.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2542813100292486710123268122', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 331], [331, 332, 64]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.78144847076705532933244639573', 'prec': 107}, 'szpiro_ratio': 2.2026153710356366, '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, -2, 0, 3, 0, 2, 0, 1, 0, 0, 0, 0, 0, -6, 0, -7, 0, -5, 0], 'aplist': [0, -2, 3, 2, 0, 0, -7, -5, 8, 10, -5, -4, -12, -11, 0, 3, 6, 0, 9, 13, -4, 11, 12, -2, 8], 'class_deg': 1, 'class_size': 1, 'conductor': 21184, 'isogeny_matrix': [[1]], 'lmfdb_iso': '21184.d', 'trace_hash': 975409984135976213}
• 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': '1.5032833870471531864187357112', 'prec': 100}, 'conductor': 21184, 'gens': [[6, 1, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.2542813100292486710123268122', 'prec': 100}], 'lmfdb_label': '21184.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.0187873044985808768515509450', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '0.99999999999999999999999999999', 'prec': 103}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5932663588524559338213543029511508742', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [6]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 5, 0], '13': [1, 1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0], '331': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '21184.d1'}
• ec_torsion_growth •

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

  
  
  • id: 1078476
    {'degree': 3, 'field': [-4, 3, -1, 1], 'lmfdb_label': '21184.d1', 'torsion': [2]}
  • id: 1078477
    {'degree': 6, 'field': [113, -182, 74, 14, -2, -2, 1], 'lmfdb_label': '21184.d1', 'torsion': [2, 2]}
  • id: 1078478
    {'degree': 8, 'field': [-23232, 0, -7264, 0, -528, 0, 0, 0, 1], 'lmfdb_label': '21184.d1', 'torsion': [3]}
  • id: 1078479
    {'degree': 12, 'field': [-5296, 0, 4186, 0, 5537, 0, 230, 0, 83, 0, 0, 0, 1], 'lmfdb_label': '21184.d1', '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: 482125
    {'conductor': 21184, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '21184.d1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 482126
    {'conductor': 21184, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '21184.d1', 'prime': 331, '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

  
  {'adelic_gens': [[1, 1, 661, 0], [661, 2, 660, 3], [1, 0, 2, 1], [1, 2, 0, 1], [3, 2, 3, 3]], 'adelic_image': '662.2.0.?', 'conductor': 21184, 'lmfdb_label': '21184.d1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 992840
    {'lmfdb_iso': '21184.d', 'p': 5, 'prec': 20, 'unit': 15442104199436, 'val': 1}
  • id: 992841
    {'lmfdb_iso': '21184.d', 'p': 7, 'prec': 20, 'unit': 2187741427940781, 'val': 1}
  • id: 992846
    {'lmfdb_iso': '21184.d', 'p': 17, 'prec': 20, 'unit': 158449996102620315797119, 'val': 1}
  • id: 992837
    {'lmfdb_iso': '21184.d', 'p': 19, 'prec': 20, 'unit': 1695869953552687497593534, 'val': 1}
  • id: 992850
    {'lmfdb_iso': '21184.d', 'p': 23, 'prec': 20, 'unit': 59521247374499438539300635, 'val': 1}
  • id: 992854
    {'lmfdb_iso': '21184.d', 'p': 29, 'prec': 20, 'unit': 4144778794588329281386304160, 'val': 1}
  • id: 992842
    {'lmfdb_iso': '21184.d', 'p': 31, 'prec': 20, 'unit': 3983111267333871259544789673, 'val': 1}
  • id: 992855
    {'lmfdb_iso': '21184.d', 'p': 37, 'prec': 20, 'unit': 92724121890201863978435740389, 'val': 1}
  • id: 992843
    {'lmfdb_iso': '21184.d', 'p': 41, 'prec': 20, 'unit': 4016383543572411134736180576698, 'val': 1}
  • id: 992844
    {'lmfdb_iso': '21184.d', 'p': 43, 'prec': 20, 'unit': 6188081007349715935598468159140, 'val': 1}
  • id: 992848
    {'lmfdb_iso': '21184.d', 'p': 53, 'prec': 20, 'unit': 41568639475494926361017482952195, 'val': 1}
  • id: 992853
    {'lmfdb_iso': '21184.d', 'p': 59, 'prec': 20, 'unit': 4107862703857300362746979058595871, 'val': 1}
  • id: 992839
    {'lmfdb_iso': '21184.d', 'p': 67, 'prec': 20, 'unit': 12447591909532083514278997450976224, 'val': 1}
  • id: 992852
    {'lmfdb_iso': '21184.d', 'p': 71, 'prec': 20, 'unit': 141504226208831317871869928645026046, 'val': 1}
  • id: 992849
    {'lmfdb_iso': '21184.d', 'p': 73, 'prec': 20, 'unit': 129272442906539288085605462809122536, 'val': 1}
  • id: 992845
    {'lmfdb_iso': '21184.d', 'p': 79, 'prec': 20, 'unit': 711739860104177917015379816796276981, 'val': 1}
  • id: 992847
    {'lmfdb_iso': '21184.d', 'p': 83, 'prec': 20, 'unit': 2315071480624878854859923944968792736, 'val': 1}
  • id: 992851
    {'lmfdb_iso': '21184.d', 'p': 89, 'prec': 20, 'unit': 10673013680551907480067231938518788516, 'val': 1}
  • id: 992838
    {'lmfdb_iso': '21184.d', 'p': 97, 'prec': 20, 'unit': 6303984911762444629869893063593033920, 'val': 1}