Elliptic curve data - 139650.k2

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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': '139650hp', 'Clabel': '139650hp1', 'Cnumber': 1, 'abc_quality': 0.9897831852169011, 'absD': 40235958000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2280, 'ainvs': [1, 1, 0, -193575, -34252875], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 139650, 'degree': 1843200, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9470275637266120442819929147', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2], 'jinv': [-3491055413, 175104], 'lmfdb_iso': '139650.k', 'lmfdb_label': '139650.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -158, 731], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '120.6.0.?', '190.6.0.?', '456.6.0.?', '2280.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 4655], [3, 4, 46550], [5, 14, 2793], [7, 26, 2850], [19, 20, 7350]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.23300594512661988922125295694', 'prec': 107}, 'szpiro_ratio': 4.070011119622641, '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, -1, 1, 0, 1, 0, -1, 1, 0, -4, -1, 2, 0, 0, 1, -6, -1, 1, 0], 'aplist': [-1, -1, 0, 0, -4, 2, -6, 1, -6, -2, 6, 10, 0, 6, 6, -10, -2, 6, -8, -12, -16, -14, 12, -4, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 139650, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '139650.k', 'trace_hash': 541449635546116192}
• 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': '0.020362605429168195431430407650', 'prec': 107}, 'conductor': 139650, 'gens': [], 'heights': [], 'lmfdb_label': '139650.k2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.11347222590229630321491821695', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.45388890360918521285967286779035996317', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[510, -255, 1]], 'xcoord_integral_points': [510]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': [0, 0], '5': 'a', '7': 'a', '19': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '139650.k2'}
• ec_torsion_growth •

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

  
  
  • id: 6315384
    {'degree': 2, 'field': [24, -1, 1], 'lmfdb_label': '139650.k2', 'torsion': [2, 2]}
  • id: 6315385
    {'degree': 4, 'field': [-269, -178, -31, -2, 1], 'lmfdb_label': '139650.k2', 'torsion': [4]}
  • id: 6315388
    {'degree': 8, 'field': [-7044574, -521651, 512372, 18557, -9275, -7, 7, -4, 1], 'lmfdb_label': '139650.k2', 'torsion': [6]}
  • id: 6315386
    {'degree': 8, 'field': [111820, 28600, 14270, -5580, -79, -18, 29, -2, 1], 'lmfdb_label': '139650.k2', 'torsion': [2, 4]}
  • id: 6315387
    {'degree': 8, 'field': [2509056, 0, 242208, 0, 6084, 0, 32, 0, 1], 'lmfdb_label': '139650.k2', 'torsion': [2, 4]}
  • id: 6315389
    {'degree': 16, 'field': [-197021787725, 152655564600, 4058398100, 4489901400, -10077158060, 493599480, 573843320, 22813680, -32267279, -2429160, 538148, 36600, -1466, -600, -148, 0, 1], 'lmfdb_label': '139650.k2', 'torsion': [8]}
  • id: 6315390
    {'degree': 16, 'field': [135541689220736, -37339603463480, -9637598119548, 1616616257366, 598799223343, 112595037474, 17533763200, 2467454840, 272448471, 21309076, 2497520, 168198, 7705, 1010, 108, -4, 1], 'lmfdb_label': '139650.k2', 'torsion': [2, 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: 3449550
    {'conductor': 139650, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '139650.k2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3449551
    {'conductor': 139650, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '139650.k2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3449552
    {'conductor': 139650, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '139650.k2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3449553
    {'conductor': 139650, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '139650.k2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3449554
    {'conductor': 139650, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '139650.k2', '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: 2571947
    {'adelic_gens': [[1, 2, 2, 5], [761, 4, 1522, 9], [289, 1996, 1424, 855], [1562, 1, 359, 0], [1, 4, 0, 1], [2277, 4, 2276, 5], [1141, 4, 2, 9], [1828, 1, 1823, 0], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '2280.12.0.?', 'conductor': 139650, 'lmfdb_label': '139650.k2', 'prime': 0}
  • id: 540132
    {'conductor': 139650, 'elladic_image': '2.3.0.1', 'lmfdb_label': '139650.k2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 139650.k does not appear in ec_padic