Elliptic curve data - 430950.im2

Formats: - HTML - YAML - JSON - 2024-12-23T23:38:20.172004

• 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': '430950im', 'Clabel': '430950im1', 'Cnumber': 1, 'abc_quality': 0.9202892459549217, 'absD': 105928848638437500, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2040, 'ainvs': [1, 0, 0, 59062, 14656992], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 430950, 'degree': 4147200, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9491710874303866951753300811', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 220, 'isogeny_degrees': [1, 2], 'jinv': [302111711, 1404540], 'lmfdb_iso': '430950.im', 'lmfdb_label': '430950.im2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 14, 59], 'min_quad_twist_disc': 65, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '30.6.0.a.1', '136.6.0.?', '2040.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 2, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 12675], [3, 4, 143650], [5, 18, 5746], [13, 86, 2550], [17, 18, 25350]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13802254751743186015179330630', 'prec': 107}, 'szpiro_ratio': 3.585959295733907, '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, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, -4, 0], 'aplist': [1, 1, 0, 2, 0, 0, 1, -4, -4, 2, 0, -2, 4, -10, -8, -2, 2, -14, 2, 6, -4, -12, 8, 10, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 430950, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '430950.im', 'trace_hash': 1475071671812040320}
• 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': '0.020275496827117840573315110620', 'prec': 107}, 'conductor': 430950, 'gens': [], 'heights': [], 'lmfdb_label': '430950.im2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.24014517754553168858201745473', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8029035509106337716403490946836143591', 'prec': 130}, 'tamagawa_product': 80, 'torsion_generators': [[-168, 84, 1]], 'xcoord_integral_points': [-168]}
• lmfdb_label 430950.im2 does not appear in ec_iwasawa
• lmfdb_label 430950.im2 does not appear in ec_torsion_growth
• 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: 10643414
    {'conductor': 430950, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '430950.im2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 10643415
    {'conductor': 430950, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '430950.im2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 10643416
    {'conductor': 430950, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '430950.im2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10643417
    {'conductor': 430950, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '430950.im2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10643418
    {'conductor': 430950, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '430950.im2', 'prime': 17, 'reduction_type': 1, '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: 4324030
    {'adelic_gens': [[1, 2, 2, 5], [257, 1786, 1784, 255], [1, 4, 0, 1], [1021, 4, 2, 9], [241, 4, 482, 9], [682, 1, 679, 0], [1, 0, 4, 1], [2037, 4, 2036, 5], [3, 4, 8, 11], [1634, 1, 1223, 0]], 'adelic_image': '2040.12.0.?', 'conductor': 430950, 'lmfdb_label': '430950.im2', 'prime': 0}
  • id: 1449570
    {'conductor': 430950, 'elladic_image': '2.3.0.1', 'lmfdb_label': '430950.im2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 430950.im does not appear in ec_padic