Elliptic curve isogeny class data - 855.a

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• 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, 4, 3, 0, 1, -4, 0, 2, -4, 0, -1, -2, 0, -1, 1], 'aplist': [-1, 0, -1, 4, -4, 2, -2, -1, 4, 2, 0, -6, 6, 8, 12, 14, -4, 14, -4, 0, -14, 16, 0, 6, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 855, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '855.a', 'trace_hash': 2152338429622007325}
• lmfdb_iso 855.a 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
  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[]

  
  
  • id: 4185
    {'Ciso': '855a', 'Clabel': '855a4', 'Cnumber': 4, 'abc_quality': 1.0982581996716574, 'absD': 106879510125, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [1, -1, 1, -54068, 4852482], 'analytic_rank': 0, 'bad_primes': [3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 855, 'degree': 2304, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3034449991609088451299387794', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [23977812996389881, 146611125], 'lmfdb_iso': '855.a', 'lmfdb_label': '855.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -6007, -181724], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '10.6.0.a.1', '12.12.0-4.c.1.1', '20.12.0.g.1', '60.24.0-20.g.1.1', '152.12.0.?', '456.24.0.?', '760.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 45], [3, 8, 19], [5, 6, 171], [19, 20, 45]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.75413885482685399943231616094', 'prec': 103}, 'szpiro_ratio': 6.563014831739199, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 4184
    {'Ciso': '855a', 'Clabel': '855a3', 'Cnumber': 3, 'abc_quality': 0.9810006384698988, 'absD': 30434326171875, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [1, -1, 1, -11138, -363594], 'analytic_rank': 0, 'bad_primes': [3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 855, 'degree': 2304, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3034449991609088451299387794', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [209595169258201, 41748046875], 'lmfdb_iso': '855.a', 'lmfdb_label': '855.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1237, 13054], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '40.12.0.z.1', '76.12.0.?', '120.24.0.?', '228.24.0.?', '760.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 171], [3, 8, 19], [5, 6, 171], [19, 20, 45]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.75413885482685399943231616094', 'prec': 103}, 'szpiro_ratio': 5.860950681121646, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 4183
    {'Ciso': '855a', 'Clabel': '855a2', 'Cnumber': 2, 'abc_quality': 0.9556029786132598, 'absD': 333073265625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1140, 'ainvs': [1, -1, 1, -3443, 73482], 'analytic_rank': 0, 'bad_primes': [3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 855, 'degree': 1152, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.95687140888093619042132271871', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [6189976379881, 456890625], 'lmfdb_iso': '855.a', 'lmfdb_label': '855.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -382, -2849], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '20.12.0.b.1', '60.24.0-20.b.1.2', '76.12.0.?', '228.24.0.?', '380.24.0.?', '1140.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 19], [5, 6, 171], [19, 20, 45]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.40756526454688134472370010025', 'prec': 103}, 'szpiro_ratio': 5.339221501058566, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 4182
    {'Ciso': '855a', 'Clabel': '855a1', 'Cnumber': 1, 'abc_quality': 0.9487490541305785, 'absD': 11359551375, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [1, -1, 1, 202, 4956], 'analytic_rank': 0, 'bad_primes': [3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 855, 'degree': 576, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.61029781860096353571270665799', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [1256216039, 15582375], 'lmfdb_iso': '855.a', 'lmfdb_label': '855.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 23, -176], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.3', '40.12.0.z.1', '60.12.0-4.c.1.2', '120.24.0.?', '152.12.0.?', '190.6.0.?', '228.12.0.?', '380.12.0.?', '456.24.0.?', '760.24.0.?', '1140.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 8, 19], [5, 6, 171], [19, 20, 45]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.060991674266908690015084039529', 'prec': 107}, 'szpiro_ratio': 4.526708373335232, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}