Elliptic curve isogeny class data - 302016.x

Formats: - HTML - YAML - JSON - 2024-05-02T14:38:25.144010

• 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, -1, 0, -2, 0, 0, 0, 1, 0, 0, 0, -1, 0, 2, 0, -2, 0, -4, 0], 'aplist': [0, -1, -2, 0, 0, -1, -2, -4, -8, -6, 4, 6, 2, -8, -12, -14, 12, 2, 12, -4, -6, -8, 12, 10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 302016, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '302016.x', 'trace_hash': 551547327011886489}
• lmfdb_iso 302016.x 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: 1901021
    {'Ciso': '302016x', 'Clabel': '302016x4', 'Cnumber': 4, 'abc_quality': 1.0387108536752023, 'absD': 6364182459589853184, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1144, 'ainvs': [0, -1, 0, -38677569, -92571226911], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 302016, 'degree': 17694720, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9007947462370268742762146987', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [13778603383488553, 13703976], 'lmfdb_iso': '302016.x', 'lmfdb_label': '302016.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -4994, -137940], 'min_quad_twist_disc': 88, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '44.12.0-4.c.1.2', '88.24.0.?', '104.24.0.?', '1144.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.577881463360182388842775211', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.66212633899792363811939472753', 'prec': 103}, 'szpiro_ratio': 5.074078331513112, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1901020
    {'Ciso': '302016x', 'Clabel': '302016x3', 'Cnumber': 3, 'abc_quality': 0.9677926869738177, 'absD': 7658119730767155167232, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1144, 'ainvs': [0, -1, 0, -5843009, 3440867553], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 302016, 'degree': 17694720, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9007947462370268742762146987', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [47504791830313, 16490207448], 'lmfdb_iso': '302016.x', 'lmfdb_label': '302016.x2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -754, 4732], 'min_quad_twist_disc': 88, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '44.12.0-4.c.1.1', '88.24.0.?', '104.24.0.?', '1144.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8944703658400455972106938028', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.66212633899792363811939472753', 'prec': 103}, 'szpiro_ratio': 4.624725353204388, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1901019
    {'Ciso': '302016x', 'Clabel': '302016x2', 'Cnumber': 2, 'abc_quality': 1.0010328633057461, 'absD': 49230370100628946944, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1144, 'ainvs': [0, -1, 0, -2435649, -1422798111], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 302016, 'degree': 8847360, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5542211559570542195675986380', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2], 'jinv': [3440899317673, 106007616], 'lmfdb_iso': '302016.x', 'lmfdb_label': '302016.x3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -314, -2220], 'min_quad_twist_disc': 88, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '44.12.0-2.a.1.1', '52.12.0-2.a.1.2', '88.24.0.?', '104.24.0.?', '572.24.0.?', '1144.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.7889407316800911944213876055', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.31555274871795098341077866683', 'prec': 103}, 'szpiro_ratio': 4.41668534898929, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1901018
    {'Ciso': '302016x', 'Clabel': '302016x1', 'Cnumber': 1, 'abc_quality': 0.9638752671102201, 'absD': 2448130292494368768, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1144, 'ainvs': [0, -1, 0, 42431, -75218207], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 302016, 'degree': 4423680, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2076475656770815648589825773', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [18191447, 5271552], 'lmfdb_iso': '302016.x', 'lmfdb_label': '302016.x4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 6, -108], 'min_quad_twist_disc': 88, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '88.24.0.?', '104.24.0.?', '286.6.0.?', '572.12.0.?', '1144.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8944703658400455972106938028', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.031020841562021671297837393870', 'prec': 110}, 'szpiro_ratio': 3.9462393984831556, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}