Elliptic curve data - 124215.f1

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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': '124215bk', 'Clabel': '124215bk1', 'Cnumber': 1, 'abc_quality': 0.8366236093574133, 'absD': 110734504147995, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 390, 'ainvs': [0, -1, 1, -2760, 510278], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 124215, 'degree': 665280, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3748451337803409269450162960', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1], 'jinv': [-4096, 195], 'lmfdb_iso': '124215.f', 'lmfdb_label': '124215.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 0, -1], 'min_quad_twist_disc': -91, 'modell_images': [], 'modm_images': ['390.2.0.?'], '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': '1.7808426736344282265962721399', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 4, 41405], [5, 6, 24843], [7, 26, 2535], [13, 98, 735]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.88058461947808409363440379650', 'prec': 107}, 'szpiro_ratio': 3.3934989067634307, '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, -2, -1, 2, 1, 2, 0, 0, 1, -2, 5, -2, 0, 0, -1, -4, -5, -2, 2, 2], 'aplist': [-2, -1, 1, 0, 5, 0, -5, 2, -1, 10, -2, 3, -9, -4, 10, 9, 0, 11, 4, -15, 6, -11, 8, -11, -9], 'class_deg': 1, 'class_size': 1, 'conductor': 124215, 'isogeny_matrix': [[1]], 'lmfdb_iso': '124215.f', 'trace_hash': 1440625253680441853}
• 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': '0.063947664805849732735742922424', 'prec': 107}, 'conductor': 124215, 'gens': [[-82, 422, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.7808426736344282265962721399', 'prec': 100}], 'lmfdb_label': '124215.f1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.49208098195192675745648744166', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5052752461756962758821874677600905227', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [-82]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 2, 0], '3': [1, 0], '5': [2, 0], '7': 'a', '11': [1, 0], '13': 'a', '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, 0]}, 'iwp0': 0, 'lmfdb_label': '124215.f1'}
• ec_torsion_growth •

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

  
  
  • id: 5665143
    {'degree': 3, 'field': [-5, -1, -1, 1], 'lmfdb_label': '124215.f1', 'torsion': [2]}
  • id: 5665144
    {'degree': 6, 'field': [780, 0, 16, 0, -8, 0, 1], 'lmfdb_label': '124215.f1', 'torsion': [2, 2]}
  • id: 5665145
    {'degree': 8, 'field': [-787225, -64775, 61670, 6209, -3101, -7, 7, -4, 1], 'lmfdb_label': '124215.f1', 'torsion': [3]}
  • id: 5665146
    {'degree': 12, 'field': [-16500510, 27808560, 1170780, -13234000, 6142122, -1294072, 143332, 11604, -3826, 714, 0, -2, 1], 'lmfdb_label': '124215.f1', '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: 3059783
    {'conductor': 124215, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '124215.f1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3059784
    {'conductor': 124215, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '124215.f1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3059785
    {'conductor': 124215, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '124215.f1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3059786
    {'conductor': 124215, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '124215.f1', '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': [[301, 2, 301, 3], [389, 2, 388, 3], [131, 2, 131, 3], [157, 2, 157, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1, 1, 389, 0]], 'adelic_image': '390.2.0.?', 'conductor': 124215, 'lmfdb_label': '124215.f1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 6502141
    {'lmfdb_iso': '124215.f', 'p': 11, 'prec': 20, 'unit': 54845132106890782616, 'val': 1}
  • id: 6502142
    {'lmfdb_iso': '124215.f', 'p': 17, 'prec': 20, 'unit': 24292731004192607433715, 'val': 1}
  • id: 6502143
    {'lmfdb_iso': '124215.f', 'p': 19, 'prec': 20, 'unit': 1663713778063420077580962, 'val': 1}
  • id: 6502146
    {'lmfdb_iso': '124215.f', 'p': 23, 'prec': 20, 'unit': 14247139228335899599759547, 'val': 1}
  • id: 6502139
    {'lmfdb_iso': '124215.f', 'p': 29, 'prec': 20, 'unit': 1315531610315342832286045025, 'val': 1}
  • id: 6502150
    {'lmfdb_iso': '124215.f', 'p': 31, 'prec': 20, 'unit': 10323464637624794926168276549, 'val': 1}
  • id: 6502135
    {'lmfdb_iso': '124215.f', 'p': 37, 'prec': 20, 'unit': 340848857659659511729237652144, 'val': 1}
  • id: 6502137
    {'lmfdb_iso': '124215.f', 'p': 41, 'prec': 20, 'unit': 1202977240519850273616494699273, 'val': 1}
  • id: 6502138
    {'lmfdb_iso': '124215.f', 'p': 43, 'prec': 20, 'unit': 87209392916040099799152885675, 'val': 1}
  • id: 6502140
    {'lmfdb_iso': '124215.f', 'p': 47, 'prec': 20, 'unit': 31733263408668481585301304767988, 'val': 1}
  • id: 6502144
    {'lmfdb_iso': '124215.f', 'p': 53, 'prec': 20, 'unit': 385771998589916867893075503846854, 'val': 1}
  • id: 6502149
    {'lmfdb_iso': '124215.f', 'p': 61, 'prec': 20, 'unit': 4216361681129381137708353384638047, 'val': 1}
  • id: 6502134
    {'lmfdb_iso': '124215.f', 'p': 67, 'prec': 20, 'unit': 1037136117074335637639917829449068, 'val': 1}
  • id: 6502136
    {'lmfdb_iso': '124215.f', 'p': 71, 'prec': 20, 'unit': 89875490245647161224451026596642533, 'val': 1}
  • id: 6502145
    {'lmfdb_iso': '124215.f', 'p': 73, 'prec': 20, 'unit': 185094090187592365431589330575806996, 'val': 1}
  • id: 6502148
    {'lmfdb_iso': '124215.f', 'p': 79, 'prec': 20, 'unit': 1121049194575264903205016577225196738, 'val': 1}
  • id: 6502133
    {'lmfdb_iso': '124215.f', 'p': 83, 'prec': 20, 'unit': 1724360994653882250751269421324798475, 'val': 1}
  • id: 6502147
    {'lmfdb_iso': '124215.f', 'p': 89, 'prec': 20, 'unit': 20919438007980649591267158621601452, 'val': 2}
  • id: 6502132
    {'lmfdb_iso': '124215.f', 'p': 97, 'prec': 20, 'unit': 41706322656313199097157288638443027283, 'val': 1}