Elliptic curve data - 54150.cp1

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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': '54150cw', 'Clabel': '54150cw1', 'Cnumber': 1, 'abc_quality': 1.0156937260858383, 'absD': 7863092475629782500, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 1140, 'ainvs': [1, 0, 0, -7175063, 7398161517], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 54150, 'degree': 2592000, 'elladic_images': ['5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6261657935833016078362296074', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 67, 'isogeny_degrees': [1, 5], 'jinv': [-1389310279182025, 267418692], 'lmfdb_iso': '54150.cp', 'lmfdb_label': '54150.cp1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -19875, -1086975], 'min_quad_twist_disc': -19, 'modell_images': ['5B.4.2'], 'modm_images': ['5.12.0.a.2', '60.24.0-5.a.2.3', '95.24.0.?', '228.2.0.?', '1140.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4404771488622080020182942129', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 27075], [3, 4, 18050], [5, 14, 2166], [19, 200, 150]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.61746699985538125296479611371', 'prec': 103}, 'szpiro_ratio': 5.410544538206036, '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, 2, 1, 1, 0, -3, 1, -6, 2, 0, 1, 2, 1, 0, 0], 'aplist': [1, 1, 0, 2, -3, -6, 2, 0, 1, 5, -7, -2, -2, 6, 12, 9, 10, -13, -7, -12, -9, -5, 1, -5, -12], 'class_deg': 5, 'class_size': 2, 'conductor': 54150, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '54150.cp', 'trace_hash': 441482911793020028}
• 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': '0.0052352976050850025583751543009', 'prec': 110}, 'conductor': 54150, 'gens': [[1702, 9979, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.4404771488622080020182942129', 'prec': 100}], 'lmfdb_label': '54150.cp1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.22701954883979762921269927502', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.772593008154512900190172467637407777', 'prec': 130}, 'tamagawa_product': 36, 'torsion_generators': [], 'xcoord_integral_points': [1702]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [11, 0], '3': [2, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': 'a', '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': '54150.cp1'}
• ec_torsion_growth •

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

  
  
  • id: 2619259
    {'degree': 3, 'field': [7, 17, -1, 1], 'lmfdb_label': '54150.cp1', 'torsion': [2]}
  • id: 2619260
    {'degree': 4, 'field': [101, 24, -24, -1, 1], 'lmfdb_label': '54150.cp1', 'torsion': [5]}
  • id: 2619261
    {'degree': 6, 'field': [2052, 0, -108, 0, 9, 0, 1], 'lmfdb_label': '54150.cp1', 'torsion': [2, 2]}
  • id: 2619262
    {'degree': 8, 'field': [-420, -348, 270, 155, -74, -7, 7, -4, 1], 'lmfdb_label': '54150.cp1', 'torsion': [3]}
  • id: 2619263
    {'degree': 10, 'field': [7946094, -1627170, 1801380, -285060, 155610, -17749, 6485, -490, 130, -5, 1], 'lmfdb_label': '54150.cp1', 'torsion': [5]}
  • id: 2619264
    {'degree': 12, 'field': [-54, -54, -1521, -2754, -501, -102, 375, -12, 31, -24, 7, 0, 1], 'lmfdb_label': '54150.cp1', 'torsion': [4]}
  • id: 2619265
    {'degree': 12, 'field': [1031, -1318, -1069, 1405, 40, -483, 184, -3, -70, 15, 1, -3, 1], 'lmfdb_label': '54150.cp1', 'torsion': [10]}
• 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: 1300104
    {'conductor': 54150, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '54150.cp1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1300105
    {'conductor': 54150, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '54150.cp1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 1300106
    {'conductor': 54150, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '54150.cp1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 1300107
    {'conductor': 54150, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '54150.cp1', 'prime': 19, '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

  
  
  • id: 2023921
    {'adelic_gens': [[6, 13, 1085, 1021], [571, 10, 575, 51], [573, 10, 20, 409], [1, 0, 10, 1], [1, 10, 0, 1], [761, 10, 385, 51], [1131, 10, 1130, 11], [359, 1130, 655, 1089]], 'adelic_image': '1140.48.1.?', 'conductor': 54150, 'lmfdb_label': '54150.cp1', 'prime': 0}
  • id: 231080
    {'conductor': 54150, 'elladic_image': '5.12.0.2', 'lmfdb_label': '54150.cp1', 'modell_image': '5B.4.2', 'prime': 5}
• ec_padic •

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

  
  
  • id: 2736028
    {'lmfdb_iso': '54150.cp', 'p': 7, 'prec': 20, 'unit': 6526114605568147, 'val': 1}
  • id: 2736026
    {'lmfdb_iso': '54150.cp', 'p': 11, 'prec': 20, 'unit': 49977547545651484301, 'val': 1}
  • id: 2736032
    {'lmfdb_iso': '54150.cp', 'p': 13, 'prec': 20, 'unit': 957262404821345937204, 'val': 1}
  • id: 2736034
    {'lmfdb_iso': '54150.cp', 'p': 17, 'prec': 20, 'unit': 144009150327859064931249, 'val': 1}
  • id: 2736039
    {'lmfdb_iso': '54150.cp', 'p': 23, 'prec': 20, 'unit': 120420640625082613900493292, 'val': -1}
  • id: 2736031
    {'lmfdb_iso': '54150.cp', 'p': 29, 'prec': 20, 'unit': 2505177056408322264856731206, 'val': 1}
  • id: 2736044
    {'lmfdb_iso': '54150.cp', 'p': 31, 'prec': 20, 'unit': 19400613358475281618067794149, 'val': 1}
  • id: 2736027
    {'lmfdb_iso': '54150.cp', 'p': 37, 'prec': 20, 'unit': 567948110406405261122216990021, 'val': 1}
  • id: 2736029
    {'lmfdb_iso': '54150.cp', 'p': 41, 'prec': 20, 'unit': 3564813509024936101471533626489, 'val': 1}
  • id: 2736030
    {'lmfdb_iso': '54150.cp', 'p': 43, 'prec': 20, 'unit': 1749098116641361371121369058041, 'val': 1}
  • id: 2736042
    {'lmfdb_iso': '54150.cp', 'p': 47, 'prec': 20, 'unit': 37781494948468772876255997899676, 'val': 1}
  • id: 2736036
    {'lmfdb_iso': '54150.cp', 'p': 53, 'prec': 20, 'unit': 475885227069181140145870445770809, 'val': 1}
  • id: 2736037
    {'lmfdb_iso': '54150.cp', 'p': 59, 'prec': 20, 'unit': 3292749016146235868422245581267413, 'val': 1}
  • id: 2736043
    {'lmfdb_iso': '54150.cp', 'p': 61, 'prec': 20, 'unit': 6161716503022325691716655620197166, 'val': 1}
  • id: 2736035
    {'lmfdb_iso': '54150.cp', 'p': 67, 'prec': 20, 'unit': 12492726181254680356283792458796997, 'val': 1}
  • id: 2736041
    {'lmfdb_iso': '54150.cp', 'p': 71, 'prec': 20, 'unit': 5074433236907799916554529933569575, 'val': 1}
  • id: 2736038
    {'lmfdb_iso': '54150.cp', 'p': 73, 'prec': 20, 'unit': 72933019948744080920152169403387983, 'val': 1}
  • id: 2736033
    {'lmfdb_iso': '54150.cp', 'p': 79, 'prec': 20, 'unit': 594711009865341213644531174366162788, 'val': 1}
  • id: 2736025
    {'lmfdb_iso': '54150.cp', 'p': 83, 'prec': 20, 'unit': 18801365419851911533465971541471245323, 'val': -1}
  • id: 2736040
    {'lmfdb_iso': '54150.cp', 'p': 89, 'prec': 20, 'unit': 3320316611286984556328327913084669026, 'val': 1}
  • id: 2736024
    {'lmfdb_iso': '54150.cp', 'p': 97, 'prec': 20, 'unit': 23257448614694668007189668351327417361, 'val': 1}