Elliptic curve isogeny class data - 59850.bt

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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, 0, 0, -1, -1, 0, 0, 6, 0, -2, 1, 0, 1, 0, 0, 1, 0], 'aplist': [-1, 0, 0, -1, 6, -2, 0, 1, 6, 6, 8, 10, -6, 4, -6, -6, 12, 2, 4, 0, -2, -4, -6, -6, -14], 'class_deg': 6, 'class_size': 4, 'conductor': 59850, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '59850.bt', 'trace_hash': 202779206089045500}
• lmfdb_iso 59850.bt 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: 396694
    {'Ciso': '59850m', 'Clabel': '59850m3', 'Cnumber': 3, 'abc_quality': 1.0737625761627996, 'absD': 175992080292000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1140, 'ainvs': [1, -1, 0, -31430742, -67815619084], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 59850, 'degree': 3981312, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7820691657022045704837810750', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 45, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [11165451838341046875, 572244736], 'lmfdb_iso': '59850.bt', 'lmfdb_label': '59850.bt1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -139692, 20130768], 'min_quad_twist_disc': -15, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.j.1', '15.8.0-3.a.1.1', '30.24.0-6.a.1.1', '60.48.0-12.j.1.3', '76.6.0.?', '114.24.0.?', '228.48.1.?', '570.48.0.?', '1140.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1533909929840721146369674807', 'prec': 100}, 'szpiro_ratio': 5.7641653386103755, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 396695
    {'Ciso': '59850m', 'Clabel': '59850m4', 'Cnumber': 4, 'abc_quality': 1.0300193263247077, 'absD': 24587534551949790750000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1140, 'ainvs': [1, -1, 0, -31376742, -68060293084], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 59850, 'degree': 7962624, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1286427559821772251923971358', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 45, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-11108001800138902875, 79947274872976], 'lmfdb_iso': '59850.bt', 'lmfdb_label': '59850.bt2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -139452, 20203200], 'min_quad_twist_disc': -15, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0.b.1', '15.8.0-3.a.1.1', '30.48.0-6.b.1.1', '76.6.0.?', '228.48.1.?', '1140.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4999645832640447693455835415', 'prec': 100}, 'szpiro_ratio': 5.764820049492187, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 396692
    {'Ciso': '59850m', 'Clabel': '59850m1', 'Cnumber': 1, 'abc_quality': 1.0136201352130507, 'absD': 2378814455808000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1140, 'ainvs': [1, -1, 0, -422742, -75299084], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 59850, 'degree': 1327104, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2327630213681497247861584566', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 45, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [19804628171203875, 5638671302656], 'lmfdb_iso': '59850.bt', 'lmfdb_label': '59850.bt3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -152187, 16325477], 'min_quad_twist_disc': -15, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.j.1', '15.8.0-3.a.1.2', '30.24.0-6.a.1.2', '60.48.0-12.j.1.1', '76.6.0.?', '114.24.0.?', '228.48.1.?', '570.48.0.?', '1140.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1533909929840721146369674808', 'prec': 100}, 'szpiro_ratio': 4.5890006441336935, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 396693
    {'Ciso': '59850m', 'Clabel': '59850m2', 'Cnumber': 2, 'abc_quality': 1.0355822640189527, 'absD': 195189972965568000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1140, 'ainvs': [1, -1, 0, 1113258, -497699084], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 59850, 'degree': 2654208, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5793366116481223794947745173', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 45, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [361682234074684125, 462672528510976], 'lmfdb_iso': '59850.bt', 'lmfdb_label': '59850.bt4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 400773, 107342693], 'min_quad_twist_disc': -15, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0.b.1', '15.8.0-3.a.1.2', '30.48.0-6.b.1.2', '76.6.0.?', '228.48.1.?', '1140.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4999645832640447693455835415', 'prec': 100}, 'szpiro_ratio': 4.8704548570779655, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}