Elliptic curve data - 88200.gz1

Formats: - HTML - YAML - JSON - 2025-10-08T11:13:50.435829

• 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': '88200ii', 'Clabel': '88200ii1', 'Cnumber': 1, 'abc_quality': 0.8314164378918016, 'absD': 303933691293750000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 14, 'ainvs': [0, 0, 0, -312375, 72244375], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 88200, 'degree': 737280, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0978239764411505704125173976', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 181, 'isogeny_degrees': [1], 'jinv': [-6288640, 567], 'lmfdb_iso': '88200.gz', 'lmfdb_label': '88200.gz1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -28, 53], 'min_quad_twist_disc': 105, 'modell_images': [], 'modm_images': ['14.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0018650217658472970055042065', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 11025], [3, 8, 9800], [5, 14, 3528], [7, 32, 1800]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.72844491089660961404403185522', 'prec': 107}, 'szpiro_ratio': 4.36574112034293, '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, 3, 0, 2, 0, 0, 0, 0, 0, -2, 0], 'aplist': [0, 0, 0, 0, 3, 2, 0, -2, -7, 3, 6, -3, 0, 5, 2, -2, -10, 8, -9, -9, 8, -1, 14, -6, 2], 'class_deg': 1, 'class_size': 1, 'conductor': 88200, 'isogeny_matrix': [[1]], 'lmfdb_iso': '88200.gz', 'trace_hash': 2116925366480578382}
• 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': '0.015060980494061574257250457183', 'prec': 107}, 'conductor': 88200, 'gens': [[-175, 11025, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.0018650217658472970055042065', 'prec': 100}], 'lmfdb_label': '88200.gz1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.29985309658256188316679965738', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.2098958992218817479005766601988305018', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [], 'xcoord_integral_points': [-175, 450]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': 'a', '11': [3, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [3, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '88200.gz1'}
• ec_torsion_growth •

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

  
  
  • id: 4131667
    {'degree': 3, 'field': [-3, 2, -1, 1], 'lmfdb_label': '88200.gz1', 'torsion': [2]}
  • id: 4131668
    {'degree': 6, 'field': [1, -3, 1, 3, 1, -3, 1], 'lmfdb_label': '88200.gz1', 'torsion': [2, 2]}
  • id: 4131669
    {'degree': 8, 'field': [2709, 6846, 5790, 2322, 480, 132, 30, -4, 1], 'lmfdb_label': '88200.gz1', 'torsion': [3]}
  • id: 4131670
    {'degree': 12, 'field': [-963, -5196, -9242, -2166, 3098, 472, -224, 182, -23, -14, 8, 0, 1], 'lmfdb_label': '88200.gz1', '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: 2155961
    {'conductor': 88200, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '88200.gz1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2155962
    {'conductor': 88200, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '88200.gz1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2155963
    {'conductor': 88200, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '88200.gz1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 2155964
    {'conductor': 88200, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '88200.gz1', 'prime': 7, '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': [[13, 2, 12, 3], [1, 1, 13, 0], [3, 2, 3, 3], [1, 2, 0, 1], [1, 0, 2, 1]], 'adelic_image': '14.2.0.?', 'conductor': 88200, 'lmfdb_label': '88200.gz1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 4562073
    {'lmfdb_iso': '88200.gz', 'p': 11, 'prec': 20, 'unit': 95713043248578953, 'val': 2}
  • id: 4562079
    {'lmfdb_iso': '88200.gz', 'p': 13, 'prec': 20, 'unit': 55283263133854577680, 'val': 1}
  • id: 4562082
    {'lmfdb_iso': '88200.gz', 'p': 19, 'prec': 20, 'unit': 1925436919375888207334620, 'val': 1}
  • id: 4562084
    {'lmfdb_iso': '88200.gz', 'p': 23, 'prec': 20, 'unit': 17728262101789018152471987, 'val': 1}
  • id: 4562078
    {'lmfdb_iso': '88200.gz', 'p': 29, 'prec': 20, 'unit': 5332482113950361274121148463, 'val': 1}
  • id: 4562089
    {'lmfdb_iso': '88200.gz', 'p': 31, 'prec': 20, 'unit': 12725308539763721906070748574, 'val': 1}
  • id: 4562074
    {'lmfdb_iso': '88200.gz', 'p': 37, 'prec': 20, 'unit': 194990125537525212510336523209, 'val': 1}
  • id: 4562077
    {'lmfdb_iso': '88200.gz', 'p': 43, 'prec': 20, 'unit': 110839985607891316837164906855, 'val': 2}
  • id: 4562087
    {'lmfdb_iso': '88200.gz', 'p': 47, 'prec': 20, 'unit': 56126111422668614208851644874705, 'val': 1}
  • id: 4562083
    {'lmfdb_iso': '88200.gz', 'p': 53, 'prec': 20, 'unit': 154369253144903220857061097851925, 'val': 1}
  • id: 4562081
    {'lmfdb_iso': '88200.gz', 'p': 59, 'prec': 20, 'unit': 492109628879531501354357342399019, 'val': 1}
  • id: 4562088
    {'lmfdb_iso': '88200.gz', 'p': 61, 'prec': 20, 'unit': 2038865995038011267344876534557954, 'val': 1}
  • id: 4562072
    {'lmfdb_iso': '88200.gz', 'p': 67, 'prec': 20, 'unit': 35143654535245309654067021426799220, 'val': 1}
  • id: 4562075
    {'lmfdb_iso': '88200.gz', 'p': 71, 'prec': 20, 'unit': 55802452295981085745849010070658454, 'val': 1}
  • id: 4562076
    {'lmfdb_iso': '88200.gz', 'p': 73, 'prec': 20, 'unit': 10803913031649015848894183803700612, 'val': 1}
  • id: 4562080
    {'lmfdb_iso': '88200.gz', 'p': 79, 'prec': 20, 'unit': 169425713153283301130823985023251351, 'val': 1}
  • id: 4562085
    {'lmfdb_iso': '88200.gz', 'p': 83, 'prec': 20, 'unit': 2250619670858546728054764859341213068, 'val': 1}
  • id: 4562086
    {'lmfdb_iso': '88200.gz', 'p': 89, 'prec': 20, 'unit': 3671292738330291123694231975896460810, 'val': 1}
  • id: 4562071
    {'lmfdb_iso': '88200.gz', 'p': 97, 'prec': 20, 'unit': 3308952631502981377723715436467100540, 'val': 1}