Elliptic curve data - 371943.y1

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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': '371943y', 'Clabel': '371943y1', 'Cnumber': 1, 'abc_quality': 0.9220443042963821, 'absD': 1497677972424777, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 1768, 'ainvs': [1, -1, 0, -38049, 2176064], 'analytic_rank': 0, 'bad_primes': [3, 11, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 371943, 'degree': 2752512, 'elladic_images': ['4.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6224152065483254154467760423', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2], 'jinv': [1700926633953, 418161601], 'lmfdb_iso': '371943.y', 'lmfdb_label': '371943.y1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -4228, -79186], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.f.1', '34.6.0.a.1', '68.24.0.h.1', '104.24.0.?', '1768.48.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 153], [3, 6, 41327], [11, 12, 33813], [13, 14, 28611], [17, 82, 1287]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.36480572620021654968676976937', 'prec': 103}, 'szpiro_ratio': 3.37219989100328, '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, -4, 0, 4, -3, 0, -4, -1, 0, -1, 4, 0, -1, 0, 0, -4, 4], 'aplist': [1, 0, -4, 4, -1, -1, 0, -4, 0, 0, 4, -4, -12, -4, 0, 6, 12, 8, -4, -12, 12, 8, 12, -6, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 371943, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '371943.y', 'trace_hash': 805519465347165567}
• 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': '0.038975173475836718156564588526', 'prec': 107}, 'conductor': 371943, 'gens': [], 'heights': [], 'lmfdb_label': '371943.y1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.44802726132042778518754454081', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7921090452817111407501781632538747417', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[64, -32, 1]], 'xcoord_integral_points': [64]}
• lmfdb_label 371943.y1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15437932
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '371943.y1', 'torsion': [2, 2]}
  • id: 15437934
    {'degree': 4, 'field': [-153, 0, 0, 0, 1], 'lmfdb_label': '371943.y1', 'torsion': [2, 4]}
  • id: 15437933
    {'degree': 4, 'field': [33, 42, 10, -2, 1], 'lmfdb_label': '371943.y1', 'torsion': [4]}
  • id: 15437935
    {'degree': 8, 'field': [441, -630, 450, -108, -17, 20, 2, -2, 1], 'lmfdb_label': '371943.y1', 'torsion': [4, 4]}
  • id: 15437936
    {'degree': 8, 'field': [1159999, 1022156, 215482, 22589, 4597, 167, 73, -1, 1], 'lmfdb_label': '371943.y1', 'torsion': [6]}
  • id: 15437937
    {'degree': 16, 'field': [59364577, 29178444, -25540820, -7054532, 3106018, 123024, 648940, -701532, 324883, -118528, 43444, -11900, 2954, -476, 88, -8, 1], 'lmfdb_label': '371943.y1', 'torsion': [8]}
  • id: 15437939
    {'degree': 16, 'field': [2279967001, 0, -2495564610, 0, 396644445, 0, -25442670, 0, 1434020, 0, -82302, 0, 2613, 0, -66, 0, 1], 'lmfdb_label': '371943.y1', 'torsion': [2, 8]}
  • id: 15437940
    {'degree': 16, 'field': [3536708029, 1270927087, -227233702, 897351522, -576606892, 191025422, -40649243, 5765310, 1115554, -416883, 9604, -4148, 3212, -234, -13, -7, 1], 'lmfdb_label': '371943.y1', 'torsion': [2, 6]}
  • id: 15437938
    {'degree': 16, 'field': [6989780788, -938575440, -4002288672, 748285696, 1020396052, -135007856, -117753244, 11042992, 6357161, -418076, -128618, 1624, 27, 248, -10, -4, 1], 'lmfdb_label': '371943.y1', 'torsion': [2, 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: 9204996
    {'conductor': 371943, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '371943.y1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9204997
    {'conductor': 371943, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '371943.y1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9204998
    {'conductor': 371943, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '371943.y1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9204999
    {'conductor': 371943, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '371943.y1', '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: 3979023
    {'adelic_gens': [[1, 0, 8, 1], [1497, 8, 684, 33], [1, 8, 0, 1], [889, 444, 444, 1327], [1, 4, 4, 17], [1761, 8, 1760, 9], [840, 3, 789, 1752], [889, 444, 444, 885], [5, 8, 48, 77], [3, 8, 1760, 1747]], 'adelic_image': '1768.48.1.?', 'conductor': 371943, 'lmfdb_label': '371943.y1', 'prime': 0}
  • id: 1276482
    {'conductor': 371943, 'elladic_image': '4.12.0.11', 'lmfdb_label': '371943.y1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 371943.y does not appear in ec_padic