Elliptic curve data - 124950.k1

Formats: - HTML - YAML - JSON - 2025-10-22T07:10:41.628905

• 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': '124950cf', 'Clabel': '124950cf2', 'Cnumber': 2, 'abc_quality': 0.9409208643145742, 'absD': 86665320000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1428, 'ainvs': [1, 1, 0, -7725, 258525], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 124950, 'degree': 217728, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.99366423395399409974936781196', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 10, 'isogeny_degrees': [1, 3], 'jinv': [-1665063952825, 2829888], 'lmfdb_iso': '124950.k', 'lmfdb_label': '124950.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -7725, 258525], 'min_quad_twist_disc': 1, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '21.8.0-3.a.1.2', '68.2.0.a.1', '204.8.0.?', '1428.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 20, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.18879689635327605795362733101', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 20825], [3, 4, 1225], [5, 14, 4998], [7, 14, 2550], [17, 18, 7350]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.13286657163340842403155591031', 'prec': 103}, 'szpiro_ratio': 3.27832945471106, '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, -1, 1, 0, 1, 0, -1, 1, 0, -3, -1, -5, 0, 0, 1, 1, -1, -2, 0], 'aplist': [-1, -1, 0, 0, -3, -5, 1, -2, 0, 6, -5, 2, 0, -4, -6, -9, 0, 10, 2, 3, -14, -4, -12, -15, 16], 'class_deg': 3, 'class_size': 2, 'conductor': 124950, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '124950.k', 'trace_hash': 543424616380125382}
• 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': '0.13706109989946484068211442695', 'prec': 103}, 'conductor': 124950, 'gens': [[66, 171, 1], [15, 375, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.31051205190631806516399767348', 'prec': 103}, {'__RealLiteral__': 0, 'data': '0.61079788129665909116941833907', 'prec': 103}], 'lmfdb_label': '124950.k1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '1.0767151664501588377796087541', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.3180973405624766055975251551103766982', 'prec': 130}, 'tamagawa_product': 36, 'torsion_generators': [], 'xcoord_integral_points': [-95, -70, -6, 15, 45, 49, 50, 66, 210, 1970]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [4, 0], '5': 'a', '7': 'a', '11': [2, 0], '13': [2, 0], '17': [3, 0], '19': [2, 0], '23': [2, 2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 4, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '124950.k1'}
• ec_torsion_growth •

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

  
  
  • id: 5698273
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '124950.k1', 'torsion': [3]}
  • id: 5698274
    {'degree': 3, 'field': [162, 12, -1, 1], 'lmfdb_label': '124950.k1', 'torsion': [2]}
  • id: 5698276
    {'degree': 6, 'field': [14175, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '124950.k1', 'torsion': [3]}
  • id: 5698277
    {'degree': 6, 'field': [27553, -9199, 386, -337, 8, -1, 1], 'lmfdb_label': '124950.k1', 'torsion': [6]}
  • id: 5698275
    {'degree': 6, 'field': [35972, 0, 2532, 0, -111, 0, 1], 'lmfdb_label': '124950.k1', 'torsion': [2, 2]}
  • id: 5698278
    {'degree': 12, 'field': [-4116384, 10168248, 2815237, -2329441, 1278719, -124252, -29772, 3158, 1640, -12, -1, -5, 1], 'lmfdb_label': '124950.k1', 'torsion': [4]}
  • id: 5698279
    {'degree': 12, 'field': [274576, 3144, 7896, -21050, 7965, 3024, -909, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '124950.k1', 'torsion': [3, 3]}
  • id: 5698280
    {'degree': 12, 'field': [101959488, -186886944, 146404632, -64451340, 18335293, -3769150, 609967, -87752, 12308, -1370, 139, -4, 1], 'lmfdb_label': '124950.k1', 'torsion': [2, 6]}
  • id: 5698282
    {'degree': 18, 'field': [20954288384, 5724261216, 3403282176, 717693036, -1151244594, -231643161, 190425069, -49752432, 14946264, -4393804, 700236, -44622, -9054, 8064, -1656, 96, 54, -9, 1], 'lmfdb_label': '124950.k1', 'torsion': [6]}
  • id: 5698281
    {'degree': 18, 'field': [239872528440889, -21161999535309, 1723081516029, -2551353580440, -5684976656334, 88714499958, 625498351158, 26550658188, -29254866669, -1824565915, 751004703, 47581452, -11408526, -604998, 101970, 3756, -495, -9, 1], 'lmfdb_label': '124950.k1', 'torsion': [9]}
• 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: 3079677
    {'conductor': 124950, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '124950.k1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3079678
    {'conductor': 124950, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '124950.k1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3079679
    {'conductor': 124950, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '124950.k1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 3079680
    {'conductor': 124950, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '124950.k1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3079681
    {'conductor': 124950, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '124950.k1', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2479506
    {'adelic_gens': [[4, 3, 9, 7], [1227, 2, 1234, 7], [1261, 6, 927, 19], [715, 6, 717, 19], [122, 1311, 367, 7], [1, 6, 0, 1], [1423, 6, 1422, 7], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '1428.16.0.?', 'conductor': 124950, 'lmfdb_label': '124950.k1', 'prime': 0}
  • id: 489032
    {'conductor': 124950, 'elladic_image': '3.4.0.1', 'lmfdb_label': '124950.k1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 6545967
    {'lmfdb_iso': '124950.k', 'p': 11, 'prec': 20, 'unit': 16415134234099752097, 'val': 2}
  • id: 6545973
    {'lmfdb_iso': '124950.k', 'p': 13, 'prec': 20, 'unit': 461451697067861824648, 'val': 2}
  • id: 6545975
    {'lmfdb_iso': '124950.k', 'p': 19, 'prec': 20, 'unit': 1450265720149306466982142, 'val': 2}
  • id: 6545972
    {'lmfdb_iso': '124950.k', 'p': 29, 'prec': 20, 'unit': 5161334735042334390807444779, 'val': 2}
  • id: 6545981
    {'lmfdb_iso': '124950.k', 'p': 31, 'prec': 20, 'unit': 10606951429686636353878105004, 'val': 2}
  • id: 6545968
    {'lmfdb_iso': '124950.k', 'p': 37, 'prec': 20, 'unit': 239316266047413400171621103179, 'val': 2}
  • id: 6545971
    {'lmfdb_iso': '124950.k', 'p': 43, 'prec': 20, 'unit': 5447343152081120414554330750995, 'val': 2}
  • id: 6545974
    {'lmfdb_iso': '124950.k', 'p': 47, 'prec': 20, 'unit': 41658860410752517274362226706335, 'val': 2}
  • id: 6545976
    {'lmfdb_iso': '124950.k', 'p': 53, 'prec': 20, 'unit': 1382429609513876184748373154010, 'val': 2}
  • id: 6545980
    {'lmfdb_iso': '124950.k', 'p': 61, 'prec': 20, 'unit': 6291063720175646681982181212598895, 'val': 2}
  • id: 6545966
    {'lmfdb_iso': '124950.k', 'p': 67, 'prec': 20, 'unit': 25700578976646399228234101504344698, 'val': 2}
  • id: 6545969
    {'lmfdb_iso': '124950.k', 'p': 71, 'prec': 20, 'unit': 56889608945488857463027145430624943, 'val': 2}
  • id: 6545970
    {'lmfdb_iso': '124950.k', 'p': 73, 'prec': 20, 'unit': 128699368445477725916197791533963589, 'val': 2}
  • id: 6545979
    {'lmfdb_iso': '124950.k', 'p': 79, 'prec': 20, 'unit': 462203485084273164384486498996212789, 'val': 2}
  • id: 6545977
    {'lmfdb_iso': '124950.k', 'p': 83, 'prec': 20, 'unit': 1272133747180432114671928511782800358, 'val': 2}
  • id: 6545978
    {'lmfdb_iso': '124950.k', 'p': 89, 'prec': 20, 'unit': 653957742542449018722622815890276325, 'val': 2}
  • id: 6545965
    {'lmfdb_iso': '124950.k', 'p': 97, 'prec': 20, 'unit': 9203528268233693748520151373598975496, 'val': 2}