Elliptic curve data - 428400.gi3

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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': '428400gi', 'Clabel': '428400gi4', 'Cnumber': 4, 'abc_quality': 0.9912852432443917, 'absD': 251845778426780160000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2040, 'ainvs': [0, 0, 0, -395640075, -2931182887750], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 428400, 'degree': 169869312, 'elladic_images': ['8.48.0.90'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8352576079211283097106676430', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 164, 'isogeny_degrees': [1, 2, 4], 'jinv': [146796951366228945601, 5397929064360000], 'lmfdb_iso': '428400.gi', 'lmfdb_label': '428400.gi3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -109900, -13616083], 'min_quad_twist_disc': 60, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0-8.e.2.8', '60.24.0-4.b.1.3', '120.96.0.?', '136.96.0.?', '2040.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 225], [3, 8, 47600], [5, 18, 17136], [7, 8, 61200], [17, 18, 25200]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7880853268100779672954332365', 'prec': 100}, 'szpiro_ratio': 5.475221727048142, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 0, 0, -1, 0, 0, 0, 4, 0, -6, 0, 0, 0, 1, 0, -4, 0], 'aplist': [0, 0, 0, -1, 4, -6, 1, -4, 0, 2, 8, 10, -2, 4, 0, 6, -12, -2, 12, -8, -2, -8, -4, -10, -10], 'class_deg': 8, 'class_size': 6, 'conductor': 428400, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '428400.gi', 'trace_hash': 260616682673461877}
• 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': '0.00046637747672864832333848105641', 'prec': 113}, 'conductor': 428400, 'gens': [], 'heights': [], 'lmfdb_label': '428400.gi3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.033927806285728978368303111925', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1713796022866546155713991631676095691', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[-9755, 0, 1], [22885, 0, 1]], 'xcoord_integral_points': [-13130, -9755, 22885]}
• lmfdb_label 428400.gi3 does not appear in ec_iwasawa
• lmfdb_label 428400.gi3 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: 10580648
    {'conductor': 428400, 'conductor_valuation': 4, 'discriminant_valuation': 18, 'j_denominator_valuation': 6, 'kodaira_symbol': -14, 'lmfdb_label': '428400.gi3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10580649
    {'conductor': 428400, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '428400.gi3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10580650
    {'conductor': 428400, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '428400.gi3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 10580651
    {'conductor': 428400, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '428400.gi3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10580652
    {'conductor': 428400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '428400.gi3', '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: 4309022
    {'adelic_gens': [[5, 4, 2036, 2037], [2039, 502, 0, 1529], [1, 0, 8, 1], [1687, 2, 1782, 2035], [1, 8, 0, 1], [3, 518, 502, 2019], [679, 2036, 0, 2039], [2033, 8, 2032, 9], [1223, 2036, 0, 2039]], 'adelic_image': '2040.192.1.?', 'conductor': 428400, 'lmfdb_label': '428400.gi3', 'prime': 0}
  • id: 1442046
    {'conductor': 428400, 'elladic_image': '8.48.0.90', 'lmfdb_label': '428400.gi3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 428400.gi does not appear in ec_padic