Elliptic curve data - 422142.cc2

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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': '422142cc', 'Clabel': '422142cc2', 'Cnumber': 2, 'abc_quality': 0.8750555597277171, 'absD': 13265087146454591784, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 3192, 'ainvs': [1, 0, 1, 486933, -116586722], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 19, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 422142, 'degree': 11446272, 'elladic_images': ['3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3560747031741180270070907773', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 54, 'isogeny_degrees': [1, 3], 'jinv': [163045918103, 169389864], 'lmfdb_iso': '422142.cc', 'lmfdb_label': '422142.cc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 920, 9662], 'min_quad_twist_disc': -23, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '1064.2.0.?', '3192.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.1057690941302334133993756430', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 70357], [3, 4, 529], [7, 8, 60306], [19, 20, 22218], [23, 200, 798]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.26574522588801823313592222276', 'prec': 103}, 'szpiro_ratio': 3.929658777086063, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 3, -1, 1, -1, 1, -3, -3, 1, 2, -1, 3, 1, 0, -1, 1, 3], 'aplist': [-1, 1, 3, 1, -3, 2, 0, 1, 0, 9, 2, 5, 6, -7, -3, -9, -12, -10, -4, 3, -16, -1, 6, 6, 17], 'class_deg': 3, 'class_size': 2, 'conductor': 422142, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '422142.cc', 'trace_hash': 86290631350133926}
• 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': '0.0089854434422418111197652346239', 'prec': 110}, 'conductor': 422142, 'gens': [[7094, 596748, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.1057690941302334133993756430', 'prec': 100}], 'lmfdb_label': '422142.cc2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.12142422399573551974399835829', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.159352902811115722010835186430497382', 'prec': 130}, 'tamagawa_product': 18, 'torsion_generators': [], 'xcoord_integral_points': [7094]}
• lmfdb_label 422142.cc2 does not appear in ec_iwasawa
• lmfdb_label 422142.cc2 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: 10430433
    {'conductor': 422142, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '422142.cc2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 10430434
    {'conductor': 422142, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '422142.cc2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 10430435
    {'conductor': 422142, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '422142.cc2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 10430436
    {'conductor': 422142, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '422142.cc2', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 10430437
    {'conductor': 422142, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '422142.cc2', 'prime': 23, 'reduction_type': 0, '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: 4273100
    {'adelic_gens': [[4, 3, 9, 7], [913, 6, 2739, 19], [799, 6, 2397, 19], [3189, 3190, 3182, 3185], [1597, 6, 1599, 19], [3187, 6, 3186, 7], [1, 6, 0, 1], [1466, 1731, 1207, 1603], [3, 4, 8, 11], [1, 0, 6, 1], [1009, 6, 3027, 19]], 'adelic_image': '3192.16.0.?', 'conductor': 422142, 'lmfdb_label': '422142.cc2', 'prime': 0}
  • id: 1424103
    {'conductor': 422142, 'elladic_image': '3.8.0.2', 'lmfdb_label': '422142.cc2', 'modell_image': '3B.1.2', 'prime': 3}
• lmfdb_iso 422142.cc does not appear in ec_padic