Elliptic curve isogeny class data - 1850.o

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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, 2, 1, 0, 2, 1, 1, 1, 0, 3, 2, 4, 1, 0, 1, -3, 1, 2, 0], 'aplist': [1, 2, 0, 1, 3, 4, -3, 2, -6, 3, 5, -1, 3, 1, -12, -3, 0, -1, 4, 6, 16, 8, 12, -6, -17], 'class_deg': 9, 'class_size': 3, 'conductor': 1850, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '1850.o', 'trace_hash': 515268572712921273}
• lmfdb_iso 1850.o 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: 10374
    {'Ciso': '1850h', 'Clabel': '1850h1', 'Cnumber': 1, 'abc_quality': 0.8841432415229432, 'absD': 5781250, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 13320, 'ainvs': [1, 1, 1, -1338, 18281], 'analytic_rank': 0, 'bad_primes': [2, 5, 37], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 1850, 'degree': 864, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.41350587475661593989788087903', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 3, 9], 'jinv': [-16954786009, 370], 'lmfdb_iso': '1850.o', 'lmfdb_label': '1850.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -54, 146], 'min_quad_twist_disc': 5, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '15.8.0-3.a.1.2', '45.24.0-9.a.1.1', '333.36.0.?', '888.8.0.?', '1480.2.0.?', '1665.72.0.?', '2664.72.0.?', '4440.16.0.?', '13320.144.3.?'], '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, 'serre_invariants': [[2, 4, 925], [5, 18, 74], [37, 38, 50]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.39121308146043424740249878758', 'prec': 107}, 'szpiro_ratio': 4.414560945859343, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 10375
    {'Ciso': '1850h', 'Clabel': '1850h2', 'Cnumber': 2, 'abc_quality': 0.9545292940495189, 'absD': 791453125000, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 13320, 'ainvs': [1, 1, 1, -463, 42781], 'analytic_rank': 0, 'bad_primes': [2, 5, 37], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 1850, 'degree': 2592, 'elladic_images': ['3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.96281201909067078559550349749', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 14, 'isogeny_degrees': [1, 3], 'jinv': [-702595369, 50653000], 'lmfdb_iso': '1850.o', 'lmfdb_label': '1850.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -19, 342], 'min_quad_twist_disc': 5, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '15.24.0-3.a.1.1', '333.36.0.?', '888.24.0.?', '1480.2.0.?', '1665.72.0.?', '2664.72.0.?', '4440.48.1.?', '13320.144.3.?'], '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, 'serre_invariants': [[2, 4, 925], [3, 2, 25], [5, 18, 74], [37, 38, 50]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.15809306287362059829512383088', 'prec': 103}, 'szpiro_ratio': 4.633806357452695, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 10376
    {'Ciso': '1850h', 'Clabel': '1850h3', 'Cnumber': 3, 'abc_quality': 0.996872612230027, 'absD': 578125000000000, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 13320, 'ainvs': [1, 1, 1, 4162, -1150469], 'analytic_rank': 0, 'bad_primes': [2, 5, 37], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 1850, 'degree': 7776, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5121181634247256312931261160', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 14, 'isogeny_degrees': [1, 3, 9], 'jinv': [510273943271, 37000000000], 'lmfdb_iso': '1850.o', 'lmfdb_label': '1850.o3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 166, -9204], 'min_quad_twist_disc': 5, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '15.8.0-3.a.1.1', '45.24.0-9.a.1.2', '333.36.0.?', '888.8.0.?', '1480.2.0.?', '1665.72.0.?', '2664.72.0.?', '4440.16.0.?', '13320.144.3.?'], '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, 'serre_invariants': [[2, 4, 925], [3, 2, 925], [5, 18, 74], [37, 38, 50]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.70739920720767544399274644939', 'prec': 103}, 'szpiro_ratio': 5.508154137418846, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}