Elliptic curve data - 140790.p1

Formats: - HTML - YAML - JSON - 2024-06-07T06:30:52.933632

• 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '140790co', 'Clabel': '140790co1', 'Cnumber': 1, 'abc_quality': 0.8831863582429411, 'absD': 12037545000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 5928, 'ainvs': [1, 1, 0, -1527, 22941], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 140790, 'degree': 126720, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.71170391487310340351407381307', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1], 'jinv': [-57467768779, 1755000], 'lmfdb_iso': '140790.p', 'lmfdb_label': '140790.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1527, 22941], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['5928.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.46227343995288758075225925109', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.024405829918506711488183044901', 'prec': 110}, 'szpiro_ratio': 2.839237686561613, '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, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 0, -1, 0, 1], 'aplist': [-1, -1, 1, 1, 1, 1, 0, 0, -9, -4, 2, 8, -6, 3, 8, -4, -6, -2, 1, 1, -16, -3, 4, -8, -10], 'class_deg': 1, 'class_size': 1, 'conductor': 140790, 'isogeny_matrix': [[1]], 'lmfdb_iso': '140790.p', 'trace_hash': 2185293097537617618}
• 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': '0.24089169863631360498346659320', 'prec': 103}, 'conductor': 140790, 'gens': [[17, 39, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.46227343995288758075225925109', 'prec': 103}], 'lmfdb_label': '140790.p1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.2640372625451700122022918279', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.6746468286830963477424066003055641895', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [7, 17]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [1, 0], '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': [2, 0], '17': [1, 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': '140790.p1'}
• ec_torsion_growth •

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

  
  
  • id: 6359548
    {'degree': 3, 'field': [6, 10, -1, 1], 'lmfdb_label': '140790.p1', 'torsion': [2]}
  • id: 6359549
    {'degree': 6, 'field': [5928, 0, 841, 0, 58, 0, 1], 'lmfdb_label': '140790.p1', 'torsion': [2, 2]}
  • id: 6359550
    {'degree': 8, 'field': [-211016, 32864, -34424, 3119, -1556, -7, 7, -4, 1], 'lmfdb_label': '140790.p1', 'torsion': [3]}
  • id: 6359551
    {'degree': 12, 'field': [-17299712, 55121952, -95666582, 8461208, -7725417, 255828, 412684, -29352, -1229, -368, 36, -4, 1], 'lmfdb_label': '140790.p1', '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: 3476343
    {'conductor': 140790, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '140790.p1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3476344
    {'conductor': 140790, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '140790.p1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3476345
    {'conductor': 140790, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '140790.p1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3476346
    {'conductor': 140790, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '140790.p1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3476347
    {'conductor': 140790, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '140790.p1', '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

  
  {'adelic_gens': [[5927, 2, 5926, 3], [1, 0, 2, 1], [1, 2, 0, 1], [457, 2, 457, 3], [3953, 2, 3953, 3], [4447, 2, 4447, 3], [1, 1, 5927, 0], [2965, 2, 2965, 3], [3745, 2, 3745, 3]], 'adelic_image': '5928.2.0.?', 'conductor': 140790, 'lmfdb_label': '140790.p1', 'prime': 0}
• lmfdb_iso 140790.p does not appear in ec_padic