Elliptic curve data - 36414.br1

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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': '36414cn', 'Clabel': '36414cn1', 'Cnumber': 1, 'abc_quality': 1.1433236756167413, 'absD': 90028428648651451357209216, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 2856, 'ainvs': [1, -1, 1, 49043101, -436960340701], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 36414, 'degree': 11576320, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6618467227928652495376237901', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 43, 'isogeny_degrees': [1], 'jinv': [150900148890919, 1041386274432], 'lmfdb_iso': '36414.br', 'lmfdb_label': '36414.br1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 18856, 3301824], 'min_quad_twist_disc': -51, 'modell_images': [], 'modm_images': ['2856.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.6409711436833252854583510652', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1071], [3, 8, 4046], [7, 8, 2601], [17, 98, 126]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.98763057041664834365285020823', 'prec': 103}, 'szpiro_ratio': 6.39161844389799, '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, 1, 0, 1, -3, 0, -1, 1, 0, -3, -1, 0, 1, -1, 0, 1, 0, 0, 4, -3], 'aplist': [1, 0, -3, -1, -1, 1, 0, 4, -4, -6, 2, -7, 4, 3, -6, 1, 8, 8, 13, 2, 7, 5, 11, -9, -9], 'class_deg': 1, 'class_size': 1, 'conductor': 36414, 'isogeny_matrix': [[1]], 'lmfdb_iso': '36414.br', 'trace_hash': 1564955447980889170}
• 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': '0.00065972106201718200566611121611', 'prec': 113}, 'conductor': 36414, 'gens': [[671883, 104016590, 11]], 'heights': [{'__RealLiteral__': 0, 'data': '7.6409711436833252854583510652', 'prec': 100}], 'lmfdb_label': '36414.br1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.030075610322221238284295174184', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.4345923768211914752221819793855321941', 'prec': 130}, 'tamagawa_product': 28, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': 'a', '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': '36414.br1'}
• ec_torsion_growth •

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

  
  
  • id: 1804770
    {'degree': 3, 'field': [-21, 9, -1, 1], 'lmfdb_label': '36414.br1', 'torsion': [2]}
  • id: 1804771
    {'degree': 6, 'field': [2478, 1008, 739, -84, 10, 0, 1], 'lmfdb_label': '36414.br1', 'torsion': [2, 2]}
  • id: 1804772
    {'degree': 8, 'field': [-70227, 0, 31212, 0, 918, 0, 0, 0, 1], 'lmfdb_label': '36414.br1', 'torsion': [3]}
  • id: 1804773
    {'degree': 12, 'field': [-43454176, -92870864, -78093444, -34773568, -9098605, -1107312, 20256, 8840, -840, -680, -32, 0, 1], 'lmfdb_label': '36414.br1', '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: 858537
    {'conductor': 36414, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '36414.br1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 858538
    {'conductor': 36414, 'conductor_valuation': 2, 'discriminant_valuation': 25, 'j_denominator_valuation': 19, 'kodaira_symbol': -23, 'lmfdb_label': '36414.br1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 858539
    {'conductor': 36414, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '36414.br1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 858540
    {'conductor': 36414, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '36414.br1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
• 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': [[2143, 2, 2143, 3], [2855, 2, 2854, 3], [1429, 2, 1429, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1, 1, 2855, 0], [409, 2, 409, 3], [953, 2, 953, 3], [2689, 2, 2689, 3]], 'adelic_image': '2856.2.0.?', 'conductor': 36414, 'lmfdb_label': '36414.br1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 1792266
    {'lmfdb_iso': '36414.br', 'p': 5, 'prec': 20, 'unit': 15010138894602, 'val': 1}
  • id: 1792265
    {'lmfdb_iso': '36414.br', 'p': 11, 'prec': 20, 'unit': 28577790889104157607, 'val': 1}
  • id: 1792272
    {'lmfdb_iso': '36414.br', 'p': 13, 'prec': 20, 'unit': 1433806890977093529004, 'val': -1}
  • id: 1792275
    {'lmfdb_iso': '36414.br', 'p': 19, 'prec': 20, 'unit': 338285098940028716053134, 'val': 1}
  • id: 1792278
    {'lmfdb_iso': '36414.br', 'p': 23, 'prec': 20, 'unit': 67379617482069295348687592, 'val': 1}
  • id: 1792271
    {'lmfdb_iso': '36414.br', 'p': 29, 'prec': 20, 'unit': 2672532779005182682984271070, 'val': 1}
  • id: 1792268
    {'lmfdb_iso': '36414.br', 'p': 31, 'prec': 20, 'unit': 11895842440208629421105799799, 'val': 1}
  • id: 1792283
    {'lmfdb_iso': '36414.br', 'p': 37, 'prec': 20, 'unit': 332100928010606357165360176146, 'val': 1}
  • id: 1792269
    {'lmfdb_iso': '36414.br', 'p': 41, 'prec': 20, 'unit': 1446881054364468991190843470745, 'val': 1}
  • id: 1792270
    {'lmfdb_iso': '36414.br', 'p': 43, 'prec': 20, 'unit': 4151447980328075442726024398531, 'val': 1}
  • id: 1792280
    {'lmfdb_iso': '36414.br', 'p': 47, 'prec': 20, 'unit': 52548385363338458704873350993273, 'val': 1}
  • id: 1792276
    {'lmfdb_iso': '36414.br', 'p': 53, 'prec': 20, 'unit': 16409464228668076782593475375266049, 'val': -1}
  • id: 1792274
    {'lmfdb_iso': '36414.br', 'p': 59, 'prec': 20, 'unit': 809104260515469900047874656573475, 'val': 1}
  • id: 1792281
    {'lmfdb_iso': '36414.br', 'p': 61, 'prec': 20, 'unit': 8204476298729620148147272109372851, 'val': 1}
  • id: 1792264
    {'lmfdb_iso': '36414.br', 'p': 67, 'prec': 20, 'unit': 26533463566006573858504437282790269, 'val': 1}
  • id: 1792267
    {'lmfdb_iso': '36414.br', 'p': 71, 'prec': 20, 'unit': 133207459092215816451683903917277236, 'val': 1}
  • id: 1792277
    {'lmfdb_iso': '36414.br', 'p': 73, 'prec': 20, 'unit': 71855855948751613232638167520922348, 'val': 1}
  • id: 1792273
    {'lmfdb_iso': '36414.br', 'p': 79, 'prec': 20, 'unit': 129445134760870931622500596598617466, 'val': 1}
  • id: 1792282
    {'lmfdb_iso': '36414.br', 'p': 83, 'prec': 20, 'unit': 944610080905881103784519701191237154, 'val': 1}
  • id: 1792279
    {'lmfdb_iso': '36414.br', 'p': 89, 'prec': 20, 'unit': 5694041069510251348850658638229413863, 'val': 1}
  • id: 1792263
    {'lmfdb_iso': '36414.br', 'p': 97, 'prec': 20, 'unit': 11343248215229015000228339005313484157, 'val': 1}