Elliptic curve data - 141570.bt2

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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': '141570cu', 'Clabel': '141570cu2', 'Cnumber': 2, 'abc_quality': 1.082019950780921, 'absD': 3006388880450569925296128000000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 17160, 'ainvs': [1, -1, 0, 5619154491, -2633050673058987], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 141570, 'degree': 948423168, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.1031361782579203768471860521', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 45, 'isogeny_degrees': [1, 3], 'jinv': [1037724929386537879751, 158997676032000000000], 'lmfdb_iso': '141570.bt', 'lmfdb_label': '141570.bt2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 5159921, -73268047294], 'min_quad_twist_disc': 33, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '33.8.0-3.a.1.2', '520.2.0.?', '1560.8.0.?', '17160.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 70785], [3, 2, 1573], [5, 6, 28314], [11, 32, 585], [13, 14, 10890]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5555839732585567444312771187', 'prec': 100}, 'szpiro_ratio': 7.127577266862878, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 1, 0, -2, -1, 0, -1, 0, 0, -1, 2, 0, 1, -6, 0, -8, 1], 'aplist': [-1, 0, 1, -2, 0, -1, -6, -8, -3, 0, -1, 8, -6, 10, 6, -3, -12, -2, -13, 9, -11, 10, -3, 0, -10], 'class_deg': 3, 'class_size': 2, 'conductor': 141570, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '141570.bt', 'trace_hash': 1845716612696024591}
• 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': '0.000036937902852992484352760799181', 'prec': 117}, 'conductor': 141570, 'gens': [], 'heights': [], 'lmfdb_label': '141570.bt2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.0067310493611758759381884817899', 'prec': 110}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.12115888850116576688739267221767136867', 'prec': 133}, 'tamagawa_product': 18, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [8, 0], '3': 'a', '5': [1, 0], '7': [0, 0], '11': 'a', '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '141570.bt2'}
• ec_torsion_growth •

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

  
  
  • id: 6400780
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '141570.bt2', 'torsion': [3]}
  • id: 6400781
    {'degree': 3, 'field': [-88, 22, 0, 1], 'lmfdb_label': '141570.bt2', 'torsion': [2]}
  • id: 6400783
    {'degree': 6, 'field': [-11292, -621, 619, 3, 1, -3, 1], 'lmfdb_label': '141570.bt2', 'torsion': [3]}
  • id: 6400784
    {'degree': 6, 'field': [995, -115, 124, -19, 12, -3, 1], 'lmfdb_label': '141570.bt2', 'torsion': [6]}
  • id: 6400782
    {'degree': 6, 'field': [2080, 0, 256, 0, 58, 0, 1], 'lmfdb_label': '141570.bt2', 'torsion': [2, 2]}
  • id: 6400785
    {'degree': 12, 'field': [-8314319250, -5483954700, -1656919275, -322144020, -3597605, 6462632, 428131, 75152, 3487, -2464, -143, -4, 1], 'lmfdb_label': '141570.bt2', 'torsion': [4]}
  • id: 6400786
    {'degree': 12, 'field': [367236, 0, 242655, 0, -66029, 0, 911, 0, 213, 0, 17, 0, 1], 'lmfdb_label': '141570.bt2', 'torsion': [3, 3]}
  • id: 6400787
    {'degree': 12, 'field': [2716795, 1913730, -1534471, -830946, 601656, -237870, 103777, -21798, 6468, -690, 149, -6, 1], 'lmfdb_label': '141570.bt2', 'torsion': [2, 6]}
  • id: 6400789
    {'degree': 18, 'field': [-1878214272, 10198848, 487577728, 378183872, -186840896, -222090616, -35196666, 29537417, -2219111, -2734920, -737132, 282531, 47579, -1269, -2827, 76, -4, -3, 1], 'lmfdb_label': '141570.bt2', 'torsion': [6]}
  • id: 6400788
    {'degree': 18, 'field': [684732267180, 140833034316, 172925087868, 55840771116, 8479888326, 5554749798, 2116581519, 151777548, 134491383, 16091868, 3905070, 798408, 171193, 3486, 6570, -74, 81, 0, 1], 'lmfdb_label': '141570.bt2', 'torsion': [9]}
• 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: 3499273
    {'conductor': 141570, 'conductor_valuation': 1, 'discriminant_valuation': 33, 'j_denominator_valuation': 33, 'kodaira_symbol': 37, 'lmfdb_label': '141570.bt2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3499274
    {'conductor': 141570, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '141570.bt2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3499275
    {'conductor': 141570, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '141570.bt2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 9}
  • id: 3499276
    {'conductor': 141570, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '141570.bt2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3499277
    {'conductor': 141570, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '141570.bt2', 'prime': 13, '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: 2584273
    {'adelic_gens': [[4, 3, 9, 7], [10297, 4686, 7491, 14059], [2641, 4686, 1683, 14059], [17155, 6, 17154, 7], [9359, 0, 0, 17159], [8581, 4686, 2343, 14059], [12022, 2013, 15785, 3893], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1], [12871, 4686, 15213, 14059]], 'adelic_image': '17160.16.0.?', 'conductor': 141570, 'lmfdb_label': '141570.bt2', 'prime': 0}
  • id: 547152
    {'conductor': 141570, 'elladic_image': '3.4.0.1', 'lmfdb_label': '141570.bt2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 141570.bt does not appear in ec_padic