Elliptic curve data - 371887.c1

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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': '371887c', 'Clabel': '371887c1', 'Cnumber': 1, 'abc_quality': 1.2082580176175668, 'absD': 3705807349979471053, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 74, 'ainvs': [0, 0, 1, -389344, -12863561], 'analytic_rank': 1, 'bad_primes': [19, 23, 37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 371887, 'degree': 9123840, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2529355736776816789623278686', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1], 'jinv': [44091731607552, 25033168477], 'lmfdb_iso': '371887.c', 'lmfdb_label': '371887.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, -736, 1057], 'min_quad_twist_disc': -23, 'modell_images': [], 'modm_images': ['74.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.0214344432501591887818716591', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 19573], [5, 2, 10051], [19, 20, 19573], [23, 266, 703], [37, 38, 10051]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.68518846571310683355895145269', 'prec': 103}, 'szpiro_ratio': 3.9161785697281446, '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, 0, 3, -2, 2, 0, 1, 0, 6, 0, -3, -6, 6, 0, 6, 4, -2, 0, -1, -4], 'aplist': [0, 3, 2, 1, -3, 6, -2, -1, 0, 6, -4, 1, 9, -4, -13, -7, -6, -4, 4, -9, 3, 12, 3, -2, 2], 'class_deg': 1, 'class_size': 1, 'conductor': 371887, 'isogeny_matrix': [[1]], 'lmfdb_iso': '371887.c', 'trace_hash': 2269773005726837515}
• 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': '0.011043965074055338409556368319', 'prec': 107}, 'conductor': 371887, 'gens': [[-299, 5012, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '4.0214344432501591887818716591', 'prec': 100}], 'lmfdb_label': '371887.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.20637996234927593720580739110', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '16.598869779760985879053342131414636078', 'prec': 130}, 'tamagawa_product': 20, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 371887.c1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15432535
    {'degree': 3, 'field': [1, -3, -1, 1], 'lmfdb_label': '371887.c1', 'torsion': [2]}
  • id: 15432536
    {'degree': 6, 'field': [1, -5, 0, 9, -2, -3, 1], 'lmfdb_label': '371887.c1', 'torsion': [2, 2]}
  • id: 15432537
    {'degree': 8, 'field': [-522536, -218456, 231136, -80483, -6152, 769, -53, -2, 1], 'lmfdb_label': '371887.c1', 'torsion': [3]}
  • id: 15432538
    {'degree': 12, 'field': [13442850965, 3795390912, -1098579176, -520398122, -124928553, -27566724, -2530192, -135292, -31839, 296, 48, -6, 1], 'lmfdb_label': '371887.c1', '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: 9201531
    {'conductor': 371887, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '371887.c1', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9201532
    {'conductor': 371887, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '371887.c1', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9201533
    {'conductor': 371887, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '371887.c1', 'prime': 37, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
• 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': [[39, 2, 39, 3], [73, 2, 72, 3], [1, 2, 0, 1], [1, 0, 2, 1], [1, 1, 73, 0]], 'adelic_image': '74.2.0.?', 'conductor': 371887, 'lmfdb_label': '371887.c1', 'prime': 0}
• lmfdb_iso 371887.c does not appear in ec_padic