Elliptic curve isogeny class data - 182070.cg

Formats: - HTML - YAML - JSON - 2024-05-05T22:35:07.318403

• 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, 0, 1, -1, 0, -1, 1, 0, -1, 0, 0, 2, -1, 0, 1, 0, 0, 2, -1], 'aplist': [1, 0, -1, -1, 0, 2, 0, 2, 0, 6, -8, 4, 6, 2, 6, -6, -12, -8, 2, 6, -2, 16, 0, -6, 10], 'class_deg': 6, 'class_size': 4, 'conductor': 182070, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '182070.cg', 'trace_hash': 1278538885847799564}
• lmfdb_iso 182070.cg does not appear in ec_padic
• 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 1172090
    {'Ciso': '182070ch', 'Clabel': '182070ch3', 'Cnumber': 3, 'abc_quality': 0.9460734337102095, 'absD': 3259184426501220, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 14280, 'ainvs': [1, -1, 1, -273593, -54944459], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 182070, 'degree': 1492992, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8791173851669821247681490914', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 58, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4767078987, 6860], 'lmfdb_iso': '182070.cg', 'lmfdb_label': '182070.cg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -105, 441], 'min_quad_twist_disc': -51, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0.cc.1', '51.8.0-3.a.1.1', '102.24.0.?', '210.24.0.?', '280.6.0.?', '408.48.0.?', '840.48.1.?', '3570.48.0.?', '14280.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.36144850336220818390305214523', 'prec': 107}, 'szpiro_ratio': 4.0597090048805935, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1172091
    {'Ciso': '182070ch', 'Clabel': '182070ch4', 'Cnumber': 4, 'abc_quality': 0.9856285677417803, 'absD': 2794750645724796150, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 14280, 'ainvs': [1, -1, 1, -195563, -86999183], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 182070, 'degree': 2985984, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2256909754469547794767651521', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 58, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-1740992427, 5882450], 'lmfdb_iso': '182070.cg', 'lmfdb_label': '182070.cg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -75, 675], 'min_quad_twist_disc': -51, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0.cb.1', '51.8.0-3.a.1.1', '102.24.0.?', '280.6.0.?', '408.48.0.?', '420.24.0.?', '840.48.1.?', '7140.48.0.?', '14280.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.014874913082235529194436084529', 'prec': 110}, 'szpiro_ratio': 4.135277565408947, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1172088
    {'Ciso': '182070ch', 'Clabel': '182070ch1', 'Cnumber': 1, 'abc_quality': 0.9241940603148386, 'absD': 36496004328000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 14280, 'ainvs': [1, -1, 1, -13493, 531981], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 182070, 'degree': 497664, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3298112408329272790705264729', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 58, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [416832723, 56000], 'lmfdb_iso': '182070.cg', 'lmfdb_label': '182070.cg3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -420, -2800], 'min_quad_twist_disc': -51, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0.cc.1', '51.8.0-3.a.1.2', '102.24.0.?', '210.24.0.?', '280.6.0.?', '408.48.0.?', '840.48.1.?', '3570.48.0.?', '14280.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.36144850336220818390305214527', 'prec': 107}, 'szpiro_ratio': 3.3143020901282365, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1172089
    {'Ciso': '182070ch', 'Clabel': '182070ch2', 'Cnumber': 2, 'abc_quality': 0.9879622850709514, 'absD': 3991750473375000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 14280, 'ainvs': [1, -1, 1, 21187, 2793117], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 182070, 'degree': 995328, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6763848311128999337791425337', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 58, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1613964717, 6125000], 'lmfdb_iso': '182070.cg', 'lmfdb_label': '182070.cg4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 660, -15544], 'min_quad_twist_disc': -51, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0.cb.1', '51.8.0-3.a.1.2', '102.24.0.?', '280.6.0.?', '408.48.0.?', '420.24.0.?', '840.48.1.?', '7140.48.0.?', '14280.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.014874913082235529194436084466', 'prec': 110}, 'szpiro_ratio': 3.5676807863944937, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}