Elliptic curve data - 35700.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': '35700bi', 'Clabel': '35700bi1', 'Cnumber': 1, 'abc_quality': 1.0268382310671036, 'absD': 74345250000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1428, 'ainvs': [0, 1, 0, -8433, -300612], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 35700, 'degree': 46080, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0000605402305921452869675893', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 43, 'isogeny_degrees': [1, 2], 'jinv': [265327034368, 297381], 'lmfdb_iso': '35700.br', 'lmfdb_label': '35700.br1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -337, -2270], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '42.6.0.a.1', '68.6.0.b.1', '1428.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3235519974175068361261716693', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 525], [3, 4, 1700], [5, 14, 1428], [7, 8, 5100], [17, 18, 2100]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.035707476173106478485822784465', 'prec': 110}, 'szpiro_ratio': 3.694914874745769, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• 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, 0, 0, 1, 0, 1, 0, 0, 0, -6, 0, 0, 0, 1, 0, -2, 0], 'aplist': [0, 1, 0, 1, 0, -6, 1, -2, 0, 8, 0, -2, 2, -8, 8, 2, 12, -4, -12, 0, -8, -8, 0, 10, -12], 'class_deg': 2, 'class_size': 2, 'conductor': 35700, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '35700.br', 'trace_hash': 1022429425682856499}
• 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': '0.13531889777010383527726311303', 'prec': 103}, 'conductor': 35700, 'gens': [[557, 8925, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '2.3235519974175068361261716693', 'prec': 100}], 'lmfdb_label': '35700.br1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.49822895632645101804931124022', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.9459653198613902528007678207736276711', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[-52, 0, 1]], 'xcoord_integral_points': [-52]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '7': [2, 0], '11': [1, 1, 0], '13': [1, 0], '17': [2, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '35700.br1'}
• ec_torsion_growth •

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

  
  
  • id: 1773106
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '35700.br1', 'torsion': [2, 2]}
  • id: 1773107
    {'degree': 4, 'field': [954, 216, 40, -2, 1], 'lmfdb_label': '35700.br1', 'torsion': [4]}
  • id: 1773109
    {'degree': 8, 'field': [-102884, -43480, 32752, 4496, -3632, -484, -44, -4, 1], 'lmfdb_label': '35700.br1', 'torsion': [2, 4]}
  • id: 1773110
    {'degree': 8, 'field': [-8524, 2248, 440, 177, -90, -15, 13, -4, 1], 'lmfdb_label': '35700.br1', 'torsion': [6]}
  • id: 1773108
    {'degree': 8, 'field': [1352521, -401370, 196814, -24990, 3387, -510, 56, 0, 1], 'lmfdb_label': '35700.br1', 'torsion': [2, 4]}
  • id: 1773112
    {'degree': 16, 'field': [-18967284, 82855710, -53048439, 35541450, -30779802, -2167830, -3890223, -777360, 237231, 3480, -8069, 120, 309, -20, -30, 0, 1], 'lmfdb_label': '35700.br1', 'torsion': [2, 6]}
  • id: 1773111
    {'degree': 16, 'field': [419615698289, 115591942112, 132059376312, 19742804696, 2445401048, 1080622320, -146219696, -11482472, 6302850, -952704, 49176, 32568, -4248, 144, 48, -8, 1], 'lmfdb_label': '35700.br1', 'torsion': [8]}
• 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: 841129
    {'conductor': 35700, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '35700.br1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 841130
    {'conductor': 35700, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '35700.br1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 841131
    {'conductor': 35700, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '35700.br1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 841132
    {'conductor': 35700, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '35700.br1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 841133
    {'conductor': 35700, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '35700.br1', 'prime': 17, 'reduction_type': 1, '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

  
  
  • id: 1902875
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [1425, 4, 1424, 5], [361, 1072, 356, 1071], [1261, 4, 1094, 9], [818, 1, 1019, 0], [478, 1, 475, 0]], 'adelic_image': '1428.12.0.?', 'conductor': 35700, 'lmfdb_label': '35700.br1', 'prime': 0}
  • id: 158642
    {'conductor': 35700, 'elladic_image': '2.3.0.1', 'lmfdb_label': '35700.br1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1754571
    {'lmfdb_iso': '35700.br', 'p': 13, 'prec': 20, 'unit': 825427626623549134999, 'val': 1}
  • id: 1754574
    {'lmfdb_iso': '35700.br', 'p': 19, 'prec': 20, 'unit': 949777008754549660537202, 'val': 1}
  • id: 1754570
    {'lmfdb_iso': '35700.br', 'p': 29, 'prec': 20, 'unit': 2148868023498387038578099224, 'val': 1}
  • id: 1754567
    {'lmfdb_iso': '35700.br', 'p': 37, 'prec': 20, 'unit': 562092286422294326991179725036, 'val': 1}
  • id: 1754568
    {'lmfdb_iso': '35700.br', 'p': 41, 'prec': 20, 'unit': 1415432606361793731402019051759, 'val': 1}
  • id: 1754569
    {'lmfdb_iso': '35700.br', 'p': 43, 'prec': 20, 'unit': 7311822519618289355037552441657, 'val': 1}
  • id: 1754578
    {'lmfdb_iso': '35700.br', 'p': 47, 'prec': 20, 'unit': 26856499659722604856815334061392, 'val': 1}
  • id: 1754575
    {'lmfdb_iso': '35700.br', 'p': 53, 'prec': 20, 'unit': 104241592533573238411582778801946, 'val': 1}
  • id: 1754573
    {'lmfdb_iso': '35700.br', 'p': 59, 'prec': 20, 'unit': 1332083163947523446283012969381371, 'val': 1}
  • id: 1754579
    {'lmfdb_iso': '35700.br', 'p': 61, 'prec': 20, 'unit': 4822986209167441509862103305097810, 'val': 1}
  • id: 1754566
    {'lmfdb_iso': '35700.br', 'p': 67, 'prec': 20, 'unit': 11232895598167663762577545605905740, 'val': 1}
  • id: 1754576
    {'lmfdb_iso': '35700.br', 'p': 73, 'prec': 20, 'unit': 128424148104278052317005150611330531, 'val': 1}
  • id: 1754572
    {'lmfdb_iso': '35700.br', 'p': 79, 'prec': 20, 'unit': 844077172159710988743671730612101613, 'val': 1}
  • id: 1754577
    {'lmfdb_iso': '35700.br', 'p': 89, 'prec': 20, 'unit': 4011203726478660550616201556840982837, 'val': 1}
  • id: 1754565
    {'lmfdb_iso': '35700.br', 'p': 97, 'prec': 20, 'unit': 1219068010968554937691373250276460760, 'val': 1}