Elliptic curve data - 423801.ci1

Formats: - HTML - YAML - JSON - 2024-06-13T14:08:23.807221

• 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': '423801ci', 'Clabel': '423801ci1', 'Cnumber': 1, 'abc_quality': 1.1001959515897402, 'absD': 29899138071502687532752117055187, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 6, 'ainvs': [0, 0, 1, -17034726259173, -27061436852750306309], 'analytic_rank': 0, 'bad_primes': [3, 7, 31], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 423801, 'degree': 23569920000, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.9559602110902094227705100048', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 60, 'isogeny_degrees': [1], 'jinv': [-7776720357545683677184, 425329947], 'lmfdb_iso': '423801.ci', 'lmfdb_label': '423801.ci1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -40195106, 98099593124], 'min_quad_twist_disc': -651, 'modell_images': [], 'modm_images': ['6.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 625, 'sha_primes': [5], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5720429884908760529125740775', 'prec': 100}, 'szpiro_ratio': 7.950318361375821, '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, 0, 2, 4, 0, 0, 0, 0, 8, 2, 0, 1, 0, 0, -4, 4, 0, 7, 8], 'aplist': [2, 0, 4, 0, 2, 1, 4, 7, -6, 0, 0, -3, 2, -5, 4, -2, 12, -6, -4, -10, 5, 0, 16, 10, -5], 'class_deg': 1, 'class_size': 1, 'conductor': 423801, 'isogeny_matrix': [[1]], 'lmfdb_iso': '423801.ci', 'trace_hash': 1205099591893534048}
• 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': '0.0000067099408502704857577353070098', 'prec': 120}, 'conductor': 423801, 'gens': [], 'heights': [], 'lmfdb_label': '423801.ci1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.0011749943255467681768614494739', 'prec': 110}, 'sha_an': {'__RealLiteral__': 0, 'data': '625.00000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.749943255467681768614494739009507787', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 423801.ci1 does not appear in ec_iwasawa
• lmfdb_label 423801.ci1 does not appear in ec_torsion_growth
• 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: 10469027
    {'conductor': 423801, 'conductor_valuation': 2, 'discriminant_valuation': 17, 'j_denominator_valuation': 11, 'kodaira_symbol': -15, 'lmfdb_label': '423801.ci1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10469028
    {'conductor': 423801, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '423801.ci1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10469029
    {'conductor': 423801, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '423801.ci1', 'prime': 31, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
• 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': [[5, 2, 5, 3], [1, 1, 5, 0], [1, 2, 0, 1], [5, 2, 4, 3], [1, 0, 2, 1]], 'adelic_image': '6.2.0.?', 'conductor': 423801, 'lmfdb_label': '423801.ci1', 'prime': 0}
• lmfdb_iso 423801.ci does not appear in ec_padic