Elliptic curve data - 371943.h2

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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': '371943h', 'Clabel': '371943h2', 'Cnumber': 2, 'abc_quality': 1.062882020410539, 'absD': 730879228047195513, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2244, 'ainvs': [1, -1, 1, -1439096, 666112700], 'analytic_rank': 1, 'bad_primes': [3, 11, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 371943, 'degree': 5160960, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3106018220139958997208020081', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [-92027671785717641, 204066317169], 'lmfdb_iso': '371943.h', 'lmfdb_label': '371943.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -159900, -24670841], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '68.6.0.a.1', '132.6.0.?', '2244.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.80290112353007263059018537301', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 153], [3, 8, 41327], [11, 12, 33813], [13, 14, 28611], [17, 82, 1287]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0529923416658870339607957352', 'prec': 100}, 'szpiro_ratio': 4.22219788899194, '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, -2, 0, 0, 3, 0, 2, -1, 0, 1, 0, 0, -1, 0, 0, 2, 2], 'aplist': [-1, 0, -2, 0, -1, 1, 0, 2, 0, 4, 8, -4, 8, 10, -2, -14, -6, -2, 8, 8, -14, 0, 12, -14, -12], 'class_deg': 2, 'class_size': 2, 'conductor': 371943, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '371943.h', 'trace_hash': 487127000400184251}
• 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': '0.0098409439363497341472404897802', 'prec': 110}, 'conductor': 371943, 'gens': [[984, 13723, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.80290112353007263059018537301', 'prec': 103}], 'lmfdb_label': '371943.h2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.28561256713125846913467119740', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.6690984167039314889659269446792308502', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-5541, 5537, 2]], 'xcoord_integral_points': [438, 685, 984]}
• lmfdb_label 371943.h2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15437811
    {'degree': 2, 'field': [17, 0, 1], 'lmfdb_label': '371943.h2', 'torsion': [2, 2]}
  • id: 15437812
    {'degree': 4, 'field': [-612, 0, 51, 0, 1], 'lmfdb_label': '371943.h2', 'torsion': [4]}
  • id: 15437813
    {'degree': 8, 'field': [324, 0, -132, 0, -11, 0, 4, 0, 1], 'lmfdb_label': '371943.h2', 'torsion': [2, 4]}
  • id: 15437815
    {'degree': 8, 'field': [49879, -424744, 423922, 1643, -818, -7, 7, -4, 1], 'lmfdb_label': '371943.h2', 'torsion': [6]}
  • id: 15437814
    {'degree': 8, 'field': [313600, 0, 15168, 0, -28, 0, 21, 0, 1], 'lmfdb_label': '371943.h2', 'torsion': [2, 4]}
  • id: 15437817
    {'degree': 16, 'field': [7059537406441, 0, 1062453097849, 0, 34825865308, 0, -155388731, 0, -30775025, 0, -468584, 0, 4558, 0, 160, 0, 1], 'lmfdb_label': '371943.h2', 'torsion': [2, 6]}
  • id: 15437816
    {'degree': 16, 'field': [465164820582400, 0, -38440469337088, 0, 1257557074576, 0, -6601234012, 0, -478712732, 0, 10056941, 0, -65285, 0, -1, 0, 1], 'lmfdb_label': '371943.h2', '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: 9204908
    {'conductor': 371943, 'conductor_valuation': 2, 'discriminant_valuation': 16, 'j_denominator_valuation': 10, 'kodaira_symbol': -14, 'lmfdb_label': '371943.h2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9204909
    {'conductor': 371943, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '371943.h2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9204910
    {'conductor': 371943, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '371943.h2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9204911
    {'conductor': 371943, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '371943.h2', 'prime': 17, 'reduction_type': 0, '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: 3979001
    {'adelic_gens': [[409, 4, 818, 9], [1, 2, 2, 5], [1, 4, 0, 1], [749, 4, 1498, 9], [1984, 1, 1187, 0], [1, 0, 4, 1], [2241, 4, 2240, 5], [3, 4, 8, 11], [1684, 565, 561, 1684]], 'adelic_image': '2244.12.0.?', 'conductor': 371943, 'lmfdb_label': '371943.h2', 'prime': 0}
  • id: 1276471
    {'conductor': 371943, 'elladic_image': '2.3.0.1', 'lmfdb_label': '371943.h2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 371943.h does not appear in ec_padic