Elliptic curve data - 458640.db1

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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': '458640db', 'Clabel': '458640db4', 'Cnumber': 4, 'abc_quality': 0.9869421687813174, 'absD': 3815209126544385024000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 10920, 'ainvs': [0, 0, 0, -8439123, 8955954322], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 458640, 'degree': 19906560, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8952316119036122015234859803', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 79, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [189208196468929, 10860320250], 'lmfdb_iso': '458640.db', 'lmfdb_label': '458640.db1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1196, -15210], 'min_quad_twist_disc': -84, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '40.6.0.b.1', '84.24.0.?', '120.24.0.?', '156.24.0.?', '840.48.0.?', '1092.48.0.?', '1560.48.1.?', '10920.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 4, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 2205], [3, 8, 784], [5, 6, 91728], [7, 26, 9360], [13, 14, 35280]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.67982321248195539385595486866', 'prec': 103}, 'szpiro_ratio': 4.561113432569458, '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, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0], 'aplist': [0, 0, -1, 0, 0, -1, 0, 2, -6, 0, -4, 2, -6, 4, 0, 6, 0, 10, -8, 0, -8, -8, 12, 6, -8], 'class_deg': 6, 'class_size': 4, 'conductor': 458640, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '458640.db', 'trace_hash': 1927928912700388685}
• 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': '0.0030565659743117109788236461157', 'prec': 110}, 'conductor': 458640, 'gens': [], 'heights': [], 'lmfdb_label': '458640.db1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.13753566868708176782842108232', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1002853494966541426273686585425548070', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[1358, 0, 1]], 'xcoord_integral_points': [1358]}
• lmfdb_label 458640.db1 does not appear in ec_iwasawa
• lmfdb_label 458640.db1 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: 11312722
    {'conductor': 458640, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '458640.db1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 11312723
    {'conductor': 458640, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '458640.db1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11312724
    {'conductor': 458640, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '458640.db1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11312725
    {'conductor': 458640, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '458640.db1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 11312726
    {'conductor': 458640, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '458640.db1', 'prime': 13, '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: 4483815
    {'adelic_gens': [[3130, 4683, 5901, 7792], [4605, 1232, 6202, 9043], [3130, 4683, 6993, 7792], [7279, 3108, 3374, 7727], [4201, 7812, 1806, 3193], [11, 2, 10870, 10911], [1, 0, 12, 1], [1, 6, 6, 37], [3119, 0, 0, 10919], [10909, 12, 10908, 13], [1, 12, 0, 1]], 'adelic_image': '10920.96.1.?', 'conductor': 458640, 'lmfdb_label': '458640.db1', 'prime': 0}
  • id: 1529575
    {'conductor': 458640, 'elladic_image': '2.3.0.1', 'lmfdb_label': '458640.db1', 'modell_image': '2B', 'prime': 2}
  • id: 1529576
    {'conductor': 458640, 'elladic_image': '3.4.0.1', 'lmfdb_label': '458640.db1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 458640.db does not appear in ec_padic