Elliptic curve data - 418950.iv2

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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': '418950iv', 'Clabel': '418950iv4', 'Cnumber': 4, 'abc_quality': 1.0300193263247077, 'absD': 2892698852502340931946750000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 7980, 'ainvs': [1, -1, 0, -1537460367, 23347755448541], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 418950, 'degree': 382205952, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1015978305098338777450735075', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 229, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-11108001800138902875, 79947274872976], 'lmfdb_iso': '418950.iv', 'lmfdb_label': '418950.iv2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -139452, 20203200], 'min_quad_twist_disc': 105, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0.b.1', '76.6.0.?', '105.8.0.?', '210.48.0.?', '228.48.1.?', '7980.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 3675], [3, 2, 46550], [5, 14, 16758], [7, 32, 8550], [19, 20, 22050]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4999645832640447693455835415', 'prec': 100}, 'szpiro_ratio': 5.800171237938895, '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, 0, 1, 0, 0, 0, -1, 0, 0, 6, 0, 2, 0, 0, 1, 0, 0, -1, 0], 'aplist': [-1, 0, 0, 0, 6, 2, 0, -1, 6, 6, -8, 10, 6, 4, 6, -6, -12, -2, 4, 0, 2, -4, 6, 6, 14], 'class_deg': 6, 'class_size': 4, 'conductor': 418950, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '418950.iv', 'trace_hash': 388385111782071527}
• 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': '0.00027377727118735217797563536303', 'prec': 113}, 'conductor': 418950, 'gens': [], 'heights': [], 'lmfdb_label': '418950.iv2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.045440751470182807074469037887', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9082080940916996527660184247394015092', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-181229, 181229, 2]], 'xcoord_integral_points': []}
• lmfdb_label 418950.iv2 does not appear in ec_iwasawa
• lmfdb_label 418950.iv2 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: 10351516
    {'conductor': 418950, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '418950.iv2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10351517
    {'conductor': 418950, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '418950.iv2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10351518
    {'conductor': 418950, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '418950.iv2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10351519
    {'conductor': 418950, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '418950.iv2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10351520
    {'conductor': 418950, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '418950.iv2', 'prime': 19, '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: 4254230
    {'adelic_gens': [[11, 2, 7930, 7971], [7969, 12, 7968, 13], [1, 0, 12, 1], [6383, 0, 0, 7979], [1, 6, 6, 37], [2279, 0, 0, 7979], [1, 12, 0, 1], [2344, 5005, 5355, 944], [4201, 2520, 6510, 7141], [4551, 1960, 4970, 7421]], 'adelic_image': '7980.96.1.?', 'conductor': 418950, 'lmfdb_label': '418950.iv2', 'prime': 0}
  • id: 1414841
    {'conductor': 418950, 'elladic_image': '2.3.0.1', 'lmfdb_label': '418950.iv2', 'modell_image': '2B', 'prime': 2}
  • id: 1414842
    {'conductor': 418950, 'elladic_image': '3.4.0.1', 'lmfdb_label': '418950.iv2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 418950.iv does not appear in ec_padic