Elliptic curve data - 418950.hs4

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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': '418950hs', 'Clabel': '418950hs4', 'Cnumber': 4, 'abc_quality': 1.0514505724300596, 'absD': 1242918137104107602906250, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 15960, 'ainvs': [1, -1, 0, 2077983, 53625929391], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 418950, 'degree': 62914560, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3022819374460237964398381208', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 200, 'isogeny_degrees': [1, 2, 4], 'jinv': [740480746823, 927484650666], 'lmfdb_iso': '418950.hs', 'lmfdb_label': '418950.hs4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 188, 46340], 'min_quad_twist_disc': 105, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '120.12.0.?', '168.12.0.?', '280.12.0.?', '456.12.0.?', '760.12.0.?', '840.24.0.?', '1064.12.0.?', '2280.24.0.?', '3192.24.0.?', '5320.24.0.?', '7980.12.0.?', '15960.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 209475], [3, 8, 46550], [5, 14, 16758], [7, 32, 8550], [19, 20, 22050]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.97530176236726211088915946400', 'prec': 103}, 'szpiro_ratio': 4.861436688682807, '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, 4, 0, -2, 0, 0, 1, 2, 0, 1, 0], 'aplist': [-1, 0, 0, 0, 4, -2, 2, 1, -4, -2, -4, 6, -10, 4, 8, 10, 12, 2, 8, 16, 10, -8, 0, -10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 418950, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '418950.hs', 'trace_hash': 1972591074108177461}
• 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': '0.0013541736340106803553642572463', 'prec': 110}, 'conductor': 418950, 'gens': [], 'heights': [], 'lmfdb_label': '418950.hs4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.067472636630059644514048200046', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1591243721619086244495424014674142095', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-14349, 14349, 2]], 'xcoord_integral_points': []}
• lmfdb_label 418950.hs4 does not appear in ec_iwasawa
• lmfdb_label 418950.hs4 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: 10351321
    {'conductor': 418950, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '418950.hs4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 10351322
    {'conductor': 418950, 'conductor_valuation': 2, 'discriminant_valuation': 26, 'j_denominator_valuation': 20, 'kodaira_symbol': -24, 'lmfdb_label': '418950.hs4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10351323
    {'conductor': 418950, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '418950.hs4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 10351324
    {'conductor': 418950, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '418950.hs4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 10351325
    {'conductor': 418950, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '418950.hs4', 'prime': 19, '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

  
  
  • id: 4254191
    {'adelic_gens': [[7, 6, 15954, 15955], [4036, 6385, 4055, 6], [5464, 12765, 11395, 9574], [1, 0, 8, 1], [15953, 8, 15952, 9], [1, 8, 0, 1], [1, 4, 4, 17], [10639, 12760, 1060, 3159], [9976, 5195, 7585, 10806], [10776, 9185, 1225, 7656], [6383, 0, 0, 15959]], 'adelic_image': '15960.48.0.?', 'conductor': 418950, 'lmfdb_label': '418950.hs4', 'prime': 0}
  • id: 1414820
    {'conductor': 418950, 'elladic_image': '4.6.0.1', 'lmfdb_label': '418950.hs4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 418950.hs does not appear in ec_padic