Elliptic curve data - 3850.o2

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

  
  {'Ciso': '3850v', 'Clabel': '3850v1', 'Cnumber': 1, 'abc_quality': 0.8744790360864115, 'absD': 211750000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 308, 'ainvs': [1, 0, 0, -363, -2783], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 3850, 'degree': 2048, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.36583086801069898429443219361', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2], 'jinv': [-338608873, 13552], 'lmfdb_iso': '3850.o', 'lmfdb_label': '3850.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -14, -28], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '14.6.0.b.1', '44.6.0.b.1', '308.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.43888808820635120300594747300', 'prec': 107}, 'szpiro_ratio': 3.5567425289085417, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• 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, -2, 1, 0, -2, 1, 1, 1, 0, 1, -2, 4, 1, 0, 1, 0, 1, 4, 0], 'aplist': [1, -2, 0, 1, 1, 4, 0, 4, -4, 2, -10, 6, 0, 4, -10, 14, 10, -8, -8, -4, -4, 16, -4, 10, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 3850, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '3850.o', 'trace_hash': 1602634016447621260}
• 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': '0.48110884955763003599816112358', 'prec': 103}, 'conductor': 3850, 'gens': [], 'heights': [], 'lmfdb_label': '3850.o2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.54559355912132954661236860233', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1823742364853181864494744093187966839', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[22, -11, 1]], 'xcoord_integral_points': [22]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '5': 'a', '7': [7, 0], '11': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '3850.o2'}
• ec_torsion_growth •

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

  
  
  • id: 200556
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '3850.o2', 'torsion': [2, 2]}
  • id: 200557
    {'degree': 4, 'field': [-40, -40, -14, -2, 1], 'lmfdb_label': '3850.o2', 'torsion': [4]}
  • id: 200560
    {'degree': 8, 'field': [-2536, -7472, -2968, -2034, -504, -198, -17, -1, 1], 'lmfdb_label': '3850.o2', 'torsion': [6]}
  • id: 200558
    {'degree': 8, 'field': [11, 55, 234, -71, -4, 33, -2, -1, 1], 'lmfdb_label': '3850.o2', 'torsion': [2, 4]}
  • id: 200559
    {'degree': 8, 'field': [1444, 1368, 512, -376, 349, -50, 10, -2, 1], 'lmfdb_label': '3850.o2', 'torsion': [2, 4]}
  • id: 200561
    {'degree': 16, 'field': [5776, 0, 261024, 0, 185912, 0, -120696, 0, 21145, 0, -2292, 0, 298, 0, -28, 0, 1], 'lmfdb_label': '3850.o2', 'torsion': [8]}
  • id: 200562
    {'degree': 16, 'field': [3326936, 1997160, 9881728, 3460220, 9822872, -305240, 2377010, -445030, -300920, -39645, 13166, 6570, 145, -195, -34, 0, 1], 'lmfdb_label': '3850.o2', 'torsion': [2, 6]}
• 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: 71489
    {'conductor': 3850, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '3850.o2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 71490
    {'conductor': 3850, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '3850.o2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 71491
    {'conductor': 3850, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3850.o2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 71492
    {'conductor': 3850, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3850.o2', 'prime': 11, 'reduction_type': 1, '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: 1688995
    {'adelic_gens': [[1, 0, 4, 1], [90, 1, 263, 0], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [81, 232, 76, 231], [57, 4, 114, 9], [305, 4, 304, 5]], 'adelic_image': '308.12.0.?', 'conductor': 3850, 'lmfdb_label': '3850.o2', 'prime': 0}
  • id: 19143
    {'conductor': 3850, 'elladic_image': '2.3.0.1', 'lmfdb_label': '3850.o2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 3850.o does not appear in ec_padic