Elliptic curve data - 99372.i1

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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': '99372m', 'Clabel': '99372m1', 'Cnumber': 1, 'abc_quality': 1.3302930794730807, 'absD': 985950259499032498944, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 182, 'ainvs': [0, -1, 0, 2473259, 201579169], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 99372, 'degree': 4064256, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7177182260974946696175761284', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1], 'jinv': [33554432, 19773], 'lmfdb_iso': '99372.i', 'lmfdb_label': '99372.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 299, -169], 'min_quad_twist_disc': -91, 'modell_images': [], 'modm_images': ['182.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.3945228798524376745189413086', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1183], [3, 4, 33124], [7, 20, 2028], [13, 98, 588]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.48628718479805555018300356427', 'prec': 107}, 'szpiro_ratio': 4.847358911219454, '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, -1, 0, -1, 0, 0, 0, 1, 0, -2, 0, 0, 0, 1, 0, 6, 0, -1, 0], 'aplist': [0, -1, -1, 0, -2, 0, 6, -1, 3, -7, 7, 12, 6, 1, 11, -7, -4, 2, 8, -8, -5, 1, -9, -11, -17], 'class_deg': 1, 'class_size': 1, 'conductor': 99372, 'isogeny_matrix': [[1]], 'lmfdb_iso': '99372.i', 'trace_hash': 1614439178463634632}
• 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': '0.0043593319658811855294434947172', 'prec': 110}, 'conductor': 99372, 'gens': [[3688, 243867, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.3945228798524376745189413086', 'prec': 100}], 'lmfdb_label': '99372.i1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.095045293530728277331457734388', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1621347761975682548031125608930995208', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': [3688]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': 'a', '11': [1, 0], '13': 'a', '17': [1, 0], '19': [1, 0], '23': [3, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '99372.i1'}
• ec_torsion_growth •

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

  
  
  • id: 4615797
    {'degree': 3, 'field': [-2, 4, 0, 1], 'lmfdb_label': '99372.i1', 'torsion': [2]}
  • id: 4615798
    {'degree': 6, 'field': [9, -33, 44, -23, 14, -3, 1], 'lmfdb_label': '99372.i1', 'torsion': [2, 2]}
  • id: 4615799
    {'degree': 8, 'field': [-168076, -10810, -30301, -9236, -2171, -416, -5, -2, 1], 'lmfdb_label': '99372.i1', 'torsion': [3]}
  • id: 4615800
    {'degree': 12, 'field': [1542, -388, -5444, 3436, 5076, -3172, -2136, 1096, 234, -98, 48, -6, 1], 'lmfdb_label': '99372.i1', '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: 2438969
    {'conductor': 99372, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '99372.i1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2438970
    {'conductor': 99372, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '99372.i1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2438971
    {'conductor': 99372, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '99372.i1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2438972
    {'conductor': 99372, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '99372.i1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• 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': [[181, 2, 180, 3], [1, 1, 181, 0], [1, 2, 0, 1], [1, 0, 2, 1], [15, 2, 15, 3], [157, 2, 157, 3]], 'adelic_image': '182.2.0.?', 'conductor': 99372, 'lmfdb_label': '99372.i1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 5169863
    {'lmfdb_iso': '99372.i', 'p': 5, 'prec': 20, 'unit': 14770890889682, 'val': 1}
  • id: 5169870
    {'lmfdb_iso': '99372.i', 'p': 11, 'prec': 20, 'unit': 42621459580073125449, 'val': 1}
  • id: 5169871
    {'lmfdb_iso': '99372.i', 'p': 17, 'prec': 20, 'unit': 88879601201043701937182, 'val': 1}
  • id: 5169872
    {'lmfdb_iso': '99372.i', 'p': 19, 'prec': 20, 'unit': 1580401817911786197288102, 'val': 1}
  • id: 5169876
    {'lmfdb_iso': '99372.i', 'p': 23, 'prec': 20, 'unit': 2485833625673837319109025, 'val': 2}
  • id: 5169868
    {'lmfdb_iso': '99372.i', 'p': 29, 'prec': 20, 'unit': 3084378494385256474216496427, 'val': 1}
  • id: 5169865
    {'lmfdb_iso': '99372.i', 'p': 31, 'prec': 20, 'unit': 19630287180122249340708257560, 'val': 1}
  • id: 5169880
    {'lmfdb_iso': '99372.i', 'p': 37, 'prec': 20, 'unit': 47604921729654747664353607518, 'val': 1}
  • id: 5169866
    {'lmfdb_iso': '99372.i', 'p': 41, 'prec': 20, 'unit': 2530643173963469943116139853723, 'val': 1}
  • id: 5169867
    {'lmfdb_iso': '99372.i', 'p': 43, 'prec': 20, 'unit': 405028236982214996002388676634094, 'val': -1}
  • id: 5169878
    {'lmfdb_iso': '99372.i', 'p': 47, 'prec': 20, 'unit': 5065599840528818119033426654810, 'val': 1}
  • id: 5169873
    {'lmfdb_iso': '99372.i', 'p': 53, 'prec': 20, 'unit': 224177783682599747415853817918129, 'val': 1}
  • id: 5169874
    {'lmfdb_iso': '99372.i', 'p': 59, 'prec': 20, 'unit': 3395177143224784149676726520520602, 'val': 1}
  • id: 5169879
    {'lmfdb_iso': '99372.i', 'p': 61, 'prec': 20, 'unit': 4446765637261090126948670529007767, 'val': 1}
  • id: 5169862
    {'lmfdb_iso': '99372.i', 'p': 67, 'prec': 20, 'unit': 39471320626105959329873907118098295, 'val': 1}
  • id: 5169864
    {'lmfdb_iso': '99372.i', 'p': 71, 'prec': 20, 'unit': 38473160575967288786551970883572180, 'val': 1}
  • id: 5169875
    {'lmfdb_iso': '99372.i', 'p': 73, 'prec': 20, 'unit': 112865746379665371139676453317531024, 'val': 1}
  • id: 5169869
    {'lmfdb_iso': '99372.i', 'p': 79, 'prec': 20, 'unit': 33641167551825892533096839045746587599, 'val': -1}
  • id: 5169861
    {'lmfdb_iso': '99372.i', 'p': 83, 'prec': 20, 'unit': 1151002109615706081688907584519009081, 'val': 1}
  • id: 5169877
    {'lmfdb_iso': '99372.i', 'p': 89, 'prec': 20, 'unit': 10282193141582078475782769319108565711, 'val': 1}
  • id: 5169860
    {'lmfdb_iso': '99372.i', 'p': 97, 'prec': 20, 'unit': 46018644137106647442360683737707362072, 'val': 1}