Elliptic curve data - 331200.ne1

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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': '331200ne', 'Clabel': '331200ne2', 'Cnumber': 2, 'abc_quality': 1.027047455683347, 'absD': 3656448000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 276, 'ainvs': [0, 0, 0, -3900, 18000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 331200, 'degree': 393216, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1009450269667470451015958695', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 342, 'isogeny_degrees': [1, 2], 'jinv': [949104, 529], 'lmfdb_iso': '331200.ne', 'lmfdb_label': '331200.ne1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -351, 486], 'min_quad_twist_disc': 120, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.a.1', '92.6.0.?', '276.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 75], [3, 6, 36800], [5, 14, 13248], [23, 24, 14400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.78709871207060009270103258138', 'prec': 107}, 'szpiro_ratio': 2.8653367233238014, '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, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, -2, 0, 0, 0, -2, 0, -2, 0], 'aplist': [0, 0, 0, 2, 4, -2, -2, -2, -1, -4, 0, 2, 0, 2, 12, -2, 12, 14, -2, 0, -6, -6, -4, -18, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 331200, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '331200.ne', 'trace_hash': 1609303949413013518}
• 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': '0.11059393220367461516313730638', 'prec': 103}, 'conductor': 331200, 'gens': [], 'heights': [], 'lmfdb_label': '331200.ne1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.68236508521900825605326623747', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7294603408760330242130649498782622623', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[60, 0, 1]], 'xcoord_integral_points': [60]}
• lmfdb_label 331200.ne1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 13886201
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '331200.ne1', 'torsion': [2, 2]}
  • id: 13886202
    {'degree': 4, 'field': [300, 0, -90, 0, 1], 'lmfdb_label': '331200.ne1', 'torsion': [4]}
  • id: 13886205
    {'degree': 8, 'field': [-480000, 0, 38250, 0, -1200, 0, 30, 0, 1], 'lmfdb_label': '331200.ne1', 'torsion': [6]}
  • id: 13886203
    {'degree': 8, 'field': [5625, 0, -13500, 0, 3075, 0, -180, 0, 1], 'lmfdb_label': '331200.ne1', 'torsion': [2, 4]}
  • id: 13886204
    {'degree': 8, 'field': [7081, 124, 116, -140, 190, 20, -4, -4, 1], 'lmfdb_label': '331200.ne1', 'torsion': [2, 4]}
  • id: 13886207
    {'degree': 16, 'field': [80901376, -122751744, 53782816, -23509776, 14048254, 6029376, 2297176, 1075236, 117874, 28668, -4562, -3264, -458, -36, -8, 0, 1], 'lmfdb_label': '331200.ne1', 'torsion': [2, 6]}
  • id: 13886206
    {'degree': 16, 'field': [540551929, -675629376, 91584228, 217544444, -81163600, 14353116, -9474936, 458004, 697263, 225092, -45864, -34332, 5064, 1132, -168, -8, 1], 'lmfdb_label': '331200.ne1', 'torsion': [8]}
• 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: 8196692
    {'conductor': 331200, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '331200.ne1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8196693
    {'conductor': 331200, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '331200.ne1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8196694
    {'conductor': 331200, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '331200.ne1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8196695
    {'conductor': 331200, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '331200.ne1', 'prime': 23, '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: 3736374
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [208, 73, 69, 208], [97, 4, 194, 9], [1, 4, 0, 1], [273, 4, 272, 5], [188, 1, 91, 0]], 'adelic_image': '276.12.0.?', 'conductor': 331200, 'lmfdb_label': '331200.ne1', 'prime': 0}
  • id: 1153092
    {'conductor': 331200, 'elladic_image': '2.3.0.1', 'lmfdb_label': '331200.ne1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 331200.ne does not appear in ec_padic