Elliptic curve isogeny class data - 20102.i

Formats: - HTML - YAML - JSON - 2024-05-03T13:09:52.366592

• 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, 0, -1, 1, -1, -2, 0, 6, 1, 5, -1, 0, 1, -3, 2, -1, 0], 'aplist': [-1, 1, 0, 1, 6, 5, -3, -1, 0, 9, -4, -2, 0, -8, 0, 3, 9, 10, -5, -6, -7, 10, 6, 12, 10], 'class_deg': 9, 'class_size': 3, 'conductor': 20102, 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'lmfdb_iso': '20102.i', 'trace_hash': 581622459418995496}
• lmfdb_iso 20102.i 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: 133170
    {'Ciso': '20102b', 'Clabel': '20102b3', 'Cnumber': 3, 'abc_quality': 1.054621266416818, 'absD': 377511772996763648, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 94392, 'ainvs': [1, 0, 1, -45241, 29788636], 'analytic_rank': 0, 'bad_primes': [2, 19, 23], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 20102, 'degree': 224532, 'elladic_images': ['27.36.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0529167189218184263553383360', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 8, 'isogeny_degrees': [1, 3, 9], 'jinv': [-69173457625, 2550136832], 'lmfdb_iso': '20102.i', 'lmfdb_label': '20102.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -86, -2456], 'min_quad_twist_disc': -23, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '27.36.0.a.1', '69.8.0-3.a.1.1', '152.2.0.?', '171.36.0.?', '207.24.0.?', '456.8.0.?', '513.324.16.?', '621.72.0.?', '1368.72.3.?', '3933.72.0.?', '4104.648.43.?', '10488.16.0.?', '11799.648.16.?', '31464.144.3.?', '94392.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, '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': '0.48516961095724358095196192009', 'prec': 103}, 'szpiro_ratio': 4.838503589765022, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 133168
    {'Ciso': '20102b', 'Clabel': '20102b1', 'Cnumber': 1, 'abc_quality': 0.9328072208159958, 'absD': 22501455128, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 94392, 'ainvs': [1, 0, 1, -8211, -287130], 'analytic_rank': 0, 'bad_primes': [2, 19, 23], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 20102, 'degree': 24948, 'elladic_images': ['27.36.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.95430443025370873496009309906', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 3, 9], 'jinv': [-413493625, 152], 'lmfdb_iso': '20102.i', 'lmfdb_label': '20102.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -16, 22], 'min_quad_twist_disc': -23, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '27.36.0.a.1', '69.8.0-3.a.1.2', '152.2.0.?', '171.36.0.?', '207.24.0.?', '456.8.0.?', '513.324.16.?', '621.72.0.?', '1368.72.3.?', '3933.72.0.?', '4104.648.43.?', '10488.16.0.?', '11799.648.16.?', '31464.144.3.?', '94392.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.61344267771086611044328331684', 'prec': 107}, 'szpiro_ratio': 3.901040720186772, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 133169
    {'Ciso': '20102b', 'Clabel': '20102b2', 'Cnumber': 2, 'abc_quality': 1.01874591611381, 'absD': 519873619277312, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 94392, 'ainvs': [1, 0, 1, 5014, -1088036], 'analytic_rank': 0, 'bad_primes': [2, 19, 23], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 20102, 'degree': 74844, 'elladic_images': ['9.36.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5036105745877635806577157175', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 8, 'isogeny_degrees': [1, 3], 'jinv': [94196375, 3511808], 'lmfdb_iso': '20102.i', 'lmfdb_label': '20102.i3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 9, 90], 'min_quad_twist_disc': -23, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '9.36.0.b.1', '69.24.0-3.a.1.1', '152.2.0.?', '171.108.4.?', '207.72.0.?', '456.24.1.?', '513.324.16.?', '1368.216.13.?', '3933.216.4.?', '4104.648.43.?', '10488.48.1.?', '11799.648.16.?', '31464.432.13.?', '94392.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, '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': '-0.064136533376811264745660698405', 'prec': 110}, 'szpiro_ratio': 4.170497205427764, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}