Elliptic curve data - 43190.e1

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '43190f', 'Clabel': '43190f1', 'Cnumber': 1, 'abc_quality': 1.0538938440430097, 'absD': 986928523547750000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 518280, 'ainvs': [1, 0, 1, -1639933, 1713908056], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 617], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 43190, 'degree': 1781640, 'elladic_images': ['3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7177446545830734317695402394', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 3], 'jinv': [-487754906646816354619081, 986928523547750000000], 'lmfdb_iso': '43190.e', 'lmfdb_label': '43190.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1639933, 1713908056], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '172760.2.0.?', '518280.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.7177446545830734317695402394', 'prec': 100}, 'szpiro_ratio': 5.251145527640191, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
• 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, 1, 1, 1, -1, 1, -1, -2, -1, 0, 1, 2, -1, 1, 1, 0, 2, -4, 1], 'aplist': [-1, 1, 1, 1, 0, 2, 0, -4, 3, 3, -10, 5, 0, -7, 12, 6, 9, 8, -4, 15, -4, 17, -6, -3, -19], 'class_deg': 3, 'class_size': 2, 'conductor': 43190, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '43190.e', 'trace_hash': 974364394407890753}
• 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': '0.0043591015508867718764802910854', 'prec': 110}, 'conductor': 43190, 'gens': [], 'heights': [], 'lmfdb_label': '43190.e1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.13915567499873876157641183461', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0873351249810814236461775191849995387', 'prec': 130}, 'tamagawa_product': 135, 'torsion_generators': [[140, 38492, 1]], 'xcoord_integral_points': [140]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [2, 0], '5': [7, 0], '7': [1, 0], '617': [1, 0]}, 'iwp0': 7, 'lmfdb_label': '43190.e1'}
• ec_torsion_growth •

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

  
  
  • id: 2114775
    {'degree': 3, 'field': [490, 70, -1, 1], 'lmfdb_label': '43190.e1', 'torsion': [6]}
  • id: 2114777
    {'degree': 6, 'field': [27, 9, -8, -3, 4, -3, 1], 'lmfdb_label': '43190.e1', 'torsion': [3, 3]}
  • id: 2114776
    {'degree': 6, 'field': [773984, -299440, 50166, -416, -159, -2, 1], 'lmfdb_label': '43190.e1', 'torsion': [2, 6]}
  • id: 2114778
    {'degree': 9, 'field': [2657047375, 15169560, -23933391, -5701108, -167016, -51843, -639, 81, -3, 1], 'lmfdb_label': '43190.e1', 'torsion': [9]}
  • id: 2114779
    {'degree': 12, 'field': [-14789539206508, -2087224843792, 688069611448, 121444736080, -6815696540, -1090863256, 36919716, 4996336, -26645, -2800, -36, -4, 1], 'lmfdb_label': '43190.e1', 'torsion': [12]}
  • id: 2114780
    {'degree': 18, 'field': [20770365643284613, -16601197534234129, 5614029016196917, -1287641880126574, 276883951447328, -51334603365522, 7679837614780, -1109143891998, 146597891847, -15820272589, 1751384981, -173702190, 13255898, -1253844, 82080, -4200, 423, -3, 1], 'lmfdb_label': '43190.e1', 'torsion': [3, 6]}
• 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: 1025100
    {'conductor': 43190, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '43190.e1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1025101
    {'conductor': 43190, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '43190.e1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 9}
  • id: 1025102
    {'conductor': 43190, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '43190.e1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 1025103
    {'conductor': 43190, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '43190.e1', 'prime': 617, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1951785
    {'adelic_gens': [[518275, 6, 518274, 7], [4, 3, 9, 7], [496686, 21601, 410305, 302331], [259141, 6, 259143, 19], [103657, 6, 310971, 19], [148081, 6, 444243, 19], [1, 6, 0, 1], [388711, 6, 0, 1], [3, 4, 8, 11], [378841, 6, 99963, 19], [1, 0, 6, 1]], 'adelic_image': '518280.16.0.?', 'conductor': 43190, 'lmfdb_label': '43190.e1', 'prime': 0}
  • id: 188163
    {'conductor': 43190, 'elladic_image': '3.8.0.1', 'lmfdb_label': '43190.e1', 'modell_image': '3B.1.1', 'prime': 3}
• lmfdb_iso 43190.e does not appear in ec_padic