Elliptic curve data - 361998.i1

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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': '361998i', 'Clabel': '361998i1', 'Cnumber': 1, 'abc_quality': 0.9974996408099198, 'absD': 2617839610290017568, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 37128, 'ainvs': [1, -1, 0, -12453, -77843531], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 361998, 'degree': 5644800, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2129809980048025357977127590', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1], 'jinv': [-1638858339, 20087188576], 'lmfdb_iso': '361998.i', 'lmfdb_label': '361998.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -663, 956861], 'min_quad_twist_disc': -39, 'modell_images': [], 'modm_images': ['37128.2.0.?'], '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': '0.65585324710700674492215772899', 'prec': 103}, 'szpiro_ratio': 3.895781969920309, '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, -2, 0, -1, -1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 3, -2], 'aplist': [-1, 0, -2, -1, 2, 0, 1, 3, -6, 6, 5, -2, -3, -3, 7, -11, 0, 0, 2, 13, 16, 3, -8, 4, -12], 'class_deg': 1, 'class_size': 1, 'conductor': 361998, 'isogeny_matrix': [[1]], 'lmfdb_iso': '361998.i', 'trace_hash': 269502012711790070}
• 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': '0.011962697696222835749071412415', 'prec': 107}, 'conductor': 361998, 'gens': [], 'heights': [], 'lmfdb_label': '361998.i1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.11671010233918834341784968484', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.93368081871350674734279747875384313472', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 361998.i1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15060679
    {'degree': 3, 'field': [-72, -8, -1, 1], 'lmfdb_label': '361998.i1', 'torsion': [2]}
  • id: 15060680
    {'degree': 6, 'field': [148512, 0, 625, 0, -50, 0, 1], 'lmfdb_label': '361998.i1', 'torsion': [2, 2]}
  • id: 15060681
    {'degree': 8, 'field': [-82018, -34493, -4226, -5737, 43, -95, -79, -2, 1], 'lmfdb_label': '361998.i1', 'torsion': [3]}
  • id: 15060682
    {'degree': 12, 'field': [18044704, 28479632, 15488981, 1887180, -1208801, -362132, 30385, 18520, 121, -396, -1, -4, 1], 'lmfdb_label': '361998.i1', '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: 8958172
    {'conductor': 361998, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '361998.i1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8958173
    {'conductor': 361998, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '361998.i1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8958174
    {'conductor': 361998, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '361998.i1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8958175
    {'conductor': 361998, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '361998.i1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 8958176
    {'conductor': 361998, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '361998.i1', 'prime': 17, 'reduction_type': 1, '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': [[12377, 2, 12377, 3], [1, 1, 37127, 0], [1, 2, 0, 1], [1, 0, 2, 1], [18565, 2, 18565, 3], [28393, 2, 28393, 3], [27847, 2, 27847, 3], [8569, 2, 8569, 3], [31825, 2, 31825, 3], [37127, 2, 37126, 3]], 'adelic_image': '37128.2.0.?', 'conductor': 361998, 'lmfdb_label': '361998.i1', 'prime': 0}
• lmfdb_iso 361998.i does not appear in ec_padic