Elliptic curve isogeny class data - 187200.hj

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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, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 1, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, 0, 0, -4, 1, -2, -4, 8, -6, 0, -10, -6, -4, 0, -6, 12, 10, -12, 12, 10, 8, -16, -14, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 187200, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '187200.hj', 'trace_hash': 1809411078018584257}
• lmfdb_iso 187200.hj 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: 1203591
    {'Ciso': '187200ef', 'Clabel': '187200ef3', 'Cnumber': 3, 'abc_quality': 1.0454650055726047, 'absD': 93797806577068677358080000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, 0, 0, -1540346700, -18008806606000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 187200, 'degree': 165150720, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.2713115503051944930314502316', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 191, 'isogeny_degrees': [1, 2, 4], 'jinv': [1082883335268084577352, 251301565117746585], 'lmfdb_iso': '187200.hj', 'lmfdb_label': '187200.hj1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1711496, 667563336], 'min_quad_twist_disc': -120, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '40.12.0-4.c.1.4', '104.12.0.?', '120.24.0.?', '312.24.0.?', '520.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 2925], [3, 8, 1600], [5, 18, 7488], [13, 14, 14400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0508524740541578232619077947', 'prec': 100}, 'szpiro_ratio': 6.184500695122802, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1203590
    {'Ciso': '187200ef', 'Clabel': '187200ef2', 'Cnumber': 2, 'abc_quality': 1.1080048293660931, 'absD': 26928067724490254400000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, 0, 0, -1441481700, -21063537376000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 187200, 'degree': 82575360, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9247379600252218383228341709', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 191, 'isogeny_degrees': [1, 2], 'jinv': [7099759044484031233216, 577161945398025], 'lmfdb_iso': '187200.hj', 'lmfdb_label': '187200.hj2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1601646, 780664896], 'min_quad_twist_disc': -120, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '40.12.0-2.a.1.1', '52.12.0-2.a.1.2', '120.24.0.?', '156.24.0.?', '520.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 225], [3, 8, 1600], [5, 18, 7488], [13, 14, 14400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8775656789141714959075997644', 'prec': 100}, 'szpiro_ratio': 6.168107858627983, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1203589
    {'Ciso': '187200ef', 'Clabel': '187200ef1', 'Cnumber': 1, 'abc_quality': 1.1653240287550397, 'absD': 2189204769375000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, 0, 0, -1441453575, -21064400476000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 187200, 'degree': 41287680, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5781643697452491836142181101', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 191, 'isogeny_degrees': [1, 2, 4], 'jinv': [454357982636417669333824, 3003024375], 'lmfdb_iso': '187200.hj', 'lmfdb_label': '187200.hj3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -25625841, 49938972705], 'min_quad_twist_disc': -120, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.3', '40.12.0-4.c.1.1', '104.12.0.?', '120.24.0.?', '156.12.0.?', '312.24.0.?', '520.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 2925], [3, 8, 1600], [5, 18, 7488], [13, 14, 14400]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8775656789141714959075997643', 'prec': 100}, 'szpiro_ratio': 6.168103037012144, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1203592
    {'Ciso': '187200ef', 'Clabel': '187200ef4', 'Cnumber': 4, 'abc_quality': 1.0433838995113014, 'absD': 95090362794826944929280000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, 0, 0, -1343066700, -24063029746000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 187200, 'degree': 165150720, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.2713115503051944930314502316', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 191, 'isogeny_degrees': [1, 2, 4], 'jinv': [-717825640026599866952, 254764560814329735], 'lmfdb_iso': '187200.hj', 'lmfdb_label': '187200.hj4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1492296, 891720756], 'min_quad_twist_disc': -120, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '40.12.0-4.c.1.2', '104.12.0.?', '120.24.0.?', '312.24.0.?', '520.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 225], [3, 8, 1600], [5, 18, 7488], [13, 14, 14400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0508524740541578232619077947', 'prec': 100}, 'szpiro_ratio': 6.1900293844775645, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}