Elliptic curve isogeny class data - 369600.ur

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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, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, -6, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, 1, 0, 1, 1, -6, 2, 0, -8, 6, -8, 10, -10, -4, 12, 2, 12, 2, 8, -8, -6, -4, 4, -6, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 369600, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '369600.ur', 'trace_hash': 937464268024004892}
• lmfdb_iso 369600.ur 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: 2304115
    {'Ciso': '369600ur', 'Clabel': '369600ur4', 'Cnumber': 4, 'abc_quality': 0.9695902956440732, 'absD': 688555219968000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3080, 'ainvs': [0, 1, 0, -15260033, -22914971937], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 369600, 'degree': 28311552, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8918158255323706327563853377', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 537, 'isogeny_degrees': [1, 2, 4], 'jinv': [95946737295893401, 168104301750], 'lmfdb_iso': '369600.ur', 'lmfdb_label': '369600.ur1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -9538, -358762], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '140.12.0.?', '280.24.0.?', '440.24.0.?', '616.24.0.?', '3080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 175], [3, 4, 123200], [5, 18, 14784], [7, 8, 52800], [11, 12, 33600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0473760984754024813301574889', 'prec': 100}, 'szpiro_ratio': 4.77652127254628, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2304114
    {'Ciso': '369600ur', 'Clabel': '369600ur3', 'Cnumber': 3, 'abc_quality': 0.9666294230672703, 'absD': 1386000000000000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3080, 'ainvs': [0, 1, 0, -12348033, 16600644063], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 369600, 'degree': 28311552, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8918158255323706327563853377', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 537, 'isogeny_degrees': [1, 2, 4], 'jinv': [50834334659676121, 338378906250], 'lmfdb_iso': '369600.ur', 'lmfdb_label': '369600.ur2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -7718, 258806], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '140.12.0.?', '280.24.0.?', '440.24.0.?', '616.24.0.?', '3080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1925], [3, 4, 123200], [5, 18, 14784], [7, 8, 52800], [11, 12, 33600]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0473760984754024813301574889', 'prec': 100}, 'szpiro_ratio': 4.726972718642084, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2304113
    {'Ciso': '369600ur', 'Clabel': '369600ur2', 'Cnumber': 2, 'abc_quality': 0.9734476213990594, 'absD': 122943744000000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3080, 'ainvs': [0, 1, 0, -1260033, -108971937], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 369600, 'degree': 14155776, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5452422352523979780477692769', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 537, 'isogeny_degrees': [1, 2], 'jinv': [54014438633401, 30015562500], 'lmfdb_iso': '369600.ur', 'lmfdb_label': '369600.ur3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -788, -1762], 'min_quad_twist_disc': 40, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '140.12.0.?', '220.12.0.?', '280.24.0.?', '308.12.0.?', '440.24.0.?', '616.24.0.?', '1540.24.0.?', '3080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 123200], [5, 18, 14784], [7, 8, 52800], [11, 12, 33600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.70080250819542982662154142810', 'prec': 103}, 'szpiro_ratio': 4.192886793378572, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2304112
    {'Ciso': '369600ur', 'Clabel': '369600ur1', 'Cnumber': 1, 'abc_quality': 0.9465395443509664, 'absD': 1947230208000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3080, 'ainvs': [0, 1, 0, 307967, -13323937], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 369600, 'degree': 7077888, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1986686449724253233391532162', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 537, 'isogeny_degrees': [1, 2, 4], 'jinv': [788632918919, 475398000], 'lmfdb_iso': '369600.ur', 'lmfdb_label': '369600.ur4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 192, -194], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '110.6.0.?', '220.12.0.?', '280.24.0.?', '440.24.0.?', '616.24.0.?', '3080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 275], [3, 4, 123200], [5, 18, 14784], [7, 8, 52800], [11, 12, 33600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.35422891791545717191292536740', 'prec': 103}, 'szpiro_ratio': 3.863195102418654, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}