Elliptic curve data - 381150.ji1

Formats: - HTML - YAML - JSON - 2024-06-14T00:50:26.399895

• 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': '381150ji', 'Clabel': '381150ji1', 'Cnumber': 1, 'abc_quality': 1.1685526879684176, 'absD': 1956958878660484069324800, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 1848, 'ainvs': [1, -1, 1, -50839625, 154922961097], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 381150, 'degree': 70253568, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3934701908715058820377175418', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 242, 'isogeny_degrees': [1], 'jinv': [-12524640009705, 1686616064], 'lmfdb_iso': '381150.ji', 'lmfdb_label': '381150.ji1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -420162, -116281324], 'min_quad_twist_disc': -11, 'modell_images': [], 'modm_images': ['1848.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.50284986769929564301136604176', 'prec': 103}, 'szpiro_ratio': 5.062301057978593, '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, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, -4, -1, 0, 1, 2, 0, -2, 0], 'aplist': [1, 0, 0, -1, 0, -4, 2, -2, 0, -2, 10, 4, -12, 1, 3, -1, 4, 10, -8, 8, 9, 8, 1, -17, -4], 'class_deg': 1, 'class_size': 1, 'conductor': 381150, 'isogeny_matrix': [[1]], 'lmfdb_iso': '381150.ji', 'trace_hash': 1152413780097074893}
• 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': '0.0011284160201139356476952246210', 'prec': 110}, 'conductor': 381150, 'gens': [], 'heights': [], 'lmfdb_label': '381150.ji1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.080431006205391950807881505435', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5389642730372458355467862391476913234', 'prec': 130}, 'tamagawa_product': 44, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 381150.ji1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15781060
    {'degree': 3, 'field': [-170, -45, 0, 1], 'lmfdb_label': '381150.ji1', 'torsion': [2]}
  • id: 15781061
    {'degree': 6, 'field': [203742, 0, 9157, 0, 124, 0, 1], 'lmfdb_label': '381150.ji1', 'torsion': [2, 2]}
  • id: 15781062
    {'degree': 8, 'field': [-81675, 0, 43560, 0, -990, 0, 0, 0, 1], 'lmfdb_label': '381150.ji1', 'torsion': [3]}
  • id: 15781063
    {'degree': 12, 'field': [-68173104, 24035664, -23817036, 10827840, -2652500, 683444, -114599, 3116, 1855, -700, 79, -4, 1], 'lmfdb_label': '381150.ji1', '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: 9428264
    {'conductor': 381150, 'conductor_valuation': 1, 'discriminant_valuation': 11, 'j_denominator_valuation': 11, 'kodaira_symbol': 15, 'lmfdb_label': '381150.ji1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 11}
  • id: 9428265
    {'conductor': 381150, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '381150.ji1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9428266
    {'conductor': 381150, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '381150.ji1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9428267
    {'conductor': 381150, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '381150.ji1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9428268
    {'conductor': 381150, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '381150.ji1', 'prime': 11, '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': [[1847, 2, 1846, 3], [1, 1, 1847, 0], [1, 0, 2, 1], [1, 2, 0, 1], [463, 2, 0, 1], [617, 2, 617, 3], [1585, 2, 1585, 3], [925, 2, 925, 3], [673, 2, 673, 3]], 'adelic_image': '1848.2.0.?', 'conductor': 381150, 'lmfdb_label': '381150.ji1', 'prime': 0}
• lmfdb_iso 381150.ji does not appear in ec_padic