Elliptic curve data - 486330.cd2

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '486330cd', 'Clabel': '486330cd1', 'Cnumber': 1, 'abc_quality': 0.9472561877383184, 'absD': 1711270653287130000000, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 13617240, 'ainvs': [1, 0, 0, 2098150, 1610422500], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 29, 43], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 486330, 'degree': 29042496, 'elladic_images': ['7.48.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7593137791305474788048948443', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 55, 'isogeny_degrees': [1, 7], 'jinv': [1021488070932591813813599, 1711270653287130000000], 'lmfdb_iso': '486330.cd', 'lmfdb_label': '486330.cd2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 2098150, 1610422500], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.1'], 'modm_images': ['7.48.0-7.a.1.2', '1945320.2.0.?', '13617240.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 6, 'num_int_pts': 12, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.9049406275939715957262165563', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 243165], [3, 4, 162110], [5, 6, 97266], [7, 2, 1247], [13, 14, 37410], [29, 30, 16770], [43, 44, 11310]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.7593137791305474788048948443', 'prec': 100}, 'szpiro_ratio': 4.270636056046147, 'torsion': 7, 'torsion_primes': [7], 'torsion_structure': [7]}
• 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, 1, 1, -2, 1, 1, 1, 1, 1, 4, 1, -8, 1], 'aplist': [1, 1, 1, 1, -2, 1, 4, -8, -4, 1, 4, -4, 0, 1, 6, -2, 4, -8, 5, 9, 11, 17, -14, 13, 0], 'class_deg': 7, 'class_size': 2, 'conductor': 486330, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '486330.cd', 'trace_hash': 1866699194795437679}
• 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': '0.0040113495094326141294854087324', 'prec': 110}, 'conductor': 486330, 'gens': [[3100, 193150, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.9049406275939715957262165563', 'prec': 100}], 'lmfdb_label': '486330.cd2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10211440703073600975333735207', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '19.538784137172438434929538554712461873', 'prec': 130}, 'tamagawa_product': 2401, 'torsion_generators': [[700, 58150, 1]], 'xcoord_integral_points': [-470, 700, 3100, 4600, 7330, 114450]}
• lmfdb_label 486330.cd2 does not appear in ec_iwasawa
• lmfdb_label 486330.cd2 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: 11989199
    {'conductor': 486330, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '486330.cd2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 11989200
    {'conductor': 486330, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '486330.cd2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 11989201
    {'conductor': 486330, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '486330.cd2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 11989202
    {'conductor': 486330, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '486330.cd2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 11989203
    {'conductor': 486330, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '486330.cd2', 'prime': 29, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 11989204
    {'conductor': 486330, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '486330.cd2', 'prime': 43, '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: 4644931
    {'adelic_gens': [[5446897, 14, 10893799, 99], [12667201, 14, 6966967, 99], [13617227, 14, 13617226, 15], [6808621, 14, 6808627, 99], [8, 5, 91, 57], [1, 14, 0, 1], [1, 0, 14, 1], [9078161, 14, 9078167, 99], [8379841, 14, 4189927, 99], [10212931, 6808634, 0, 6322291], [3404311, 14, 10212937, 99], [8452081, 14, 4695607, 99]], 'adelic_image': '13617240.96.2.?', 'conductor': 486330, 'lmfdb_label': '486330.cd2', 'prime': 0}
  • id: 1610253
    {'conductor': 486330, 'elladic_image': '7.48.0.1', 'lmfdb_label': '486330.cd2', 'modell_image': '7B.1.1', 'prime': 7}
• lmfdb_iso 486330.cd does not appear in ec_padic