Elliptic curve isogeny class data - 198.c

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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, 4, 0, -2, -1, 0, -4, -1, 0, 4, 2, 0, 1, 2, 0, 0, 4], 'aplist': [-1, 0, 4, -2, -1, 4, 2, 0, 6, -10, -8, -2, -2, 4, 2, -4, 0, -8, -12, -2, -6, 10, -4, -10, -2], 'class_deg': 10, 'class_size': 4, 'conductor': 198, 'isogeny_matrix': [[1, 2, 5, 10], [2, 1, 10, 5], [5, 10, 1, 2], [10, 5, 2, 1]], 'lmfdb_iso': '198.c', 'trace_hash': 393783737461968131}
• lmfdb_iso 198.c 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: 737
    {'Ciso': '198e', 'Clabel': '198e3', 'Cnumber': 3, 'abc_quality': 1.0637869122465706, 'absD': 1408874148, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 1320, 'ainvs': [1, -1, 0, -90585, 10516473], 'analytic_rank': 0, 'bad_primes': [2, 3, 11], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 198, 'degree': 800, 'elladic_images': ['8.6.0.4', '5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2971594107306025038128982726', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 5, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [112763292123580561, 1932612], 'lmfdb_iso': '198.c', 'lmfdb_label': '198.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -10065, -389499], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '5B.4.2'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.2', '8.6.0.d.1', '10.36.0.a.1', '15.24.0-5.a.2.1', '30.72.0-10.a.1.4', '40.72.1.t.1', '66.6.0.a.1', '110.72.0.?', '120.144.1.?', '264.12.0.?', '330.144.1.?', '440.144.1.?', '1320.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 99], [3, 8, 22], [5, 2, 18], [11, 12, 18]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.74785326639654765811527565414', 'prec': 103}, 'szpiro_ratio': 8.671222675108082, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 738
    {'Ciso': '198e', 'Clabel': '198e4', 'Cnumber': 4, 'abc_quality': 1.0638684203296611, 'absD': 340350885614322, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 1320, 'ainvs': [1, -1, 0, -90495, 10538343], 'analytic_rank': 0, 'bad_primes': [2, 3, 11], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 198, 'degree': 1600, 'elladic_images': ['8.6.0.5', '5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6437330010105751585215143333', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 10, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [-112427521449300721, 466873642818], 'lmfdb_iso': '198.c', 'lmfdb_label': '198.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -10055, -390309], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '5B.4.2'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.2', '8.6.0.a.1', '10.36.0.a.1', '15.24.0-5.a.2.1', '30.72.0-10.a.1.4', '40.72.1.c.2', '120.144.1.?', '132.6.0.?', '220.72.0.?', '264.12.0.?', '440.144.1.?', '660.144.1.?', '1320.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 22], [5, 2, 18], [11, 12, 18]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0944268566765203128238917148', 'prec': 100}, 'szpiro_ratio': 8.672010849604494, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 735
    {'Ciso': '198e', 'Clabel': '198e1', 'Cnumber': 1, 'abc_quality': 1.073399617726021, 'absD': 1995383808, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 1320, 'ainvs': [1, -1, 0, -405, -2187], 'analytic_rank': 0, 'bad_primes': [2, 3, 11], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 198, 'degree': 160, 'elladic_images': ['8.6.0.4', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.49244045451355231651251860594', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [10091699281, 2737152], 'lmfdb_iso': '198.c', 'lmfdb_label': '198.c3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -45, 81], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '5B.4.1'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.1', '8.6.0.d.1', '10.36.0.a.2', '15.24.0-5.a.1.1', '30.72.0-10.a.2.4', '40.72.1.t.2', '66.6.0.a.1', '110.72.0.?', '120.144.1.?', '264.12.0.?', '330.144.1.?', '440.144.1.?', '1320.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 99], [3, 8, 22], [5, 2, 99], [11, 12, 18]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.056865689820502529185104012521', 'prec': 110}, 'szpiro_ratio': 5.602336763549986, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 736
    {'Ciso': '198e', 'Clabel': '198e2', 'Cnumber': 2, 'abc_quality': 1.1002106061618209, 'absD': 166676903712, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 1320, 'ainvs': [1, -1, 0, 1035, -15147], 'analytic_rank': 0, 'bad_primes': [2, 3, 11], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 198, 'degree': 320, 'elladic_images': ['8.6.0.5', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.83901404479352497122113466667', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [168105213359, 228637728], 'lmfdb_iso': '198.c', 'lmfdb_label': '198.c4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 115, 561], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '5B.4.1'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.1', '8.6.0.a.1', '10.36.0.a.2', '15.24.0-5.a.1.1', '30.72.0-10.a.2.4', '40.72.1.c.1', '120.144.1.?', '132.6.0.?', '220.72.0.?', '264.12.0.?', '440.144.1.?', '660.144.1.?', '1320.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 22], [5, 2, 99], [11, 12, 18]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.28970790045947012552351204821', 'prec': 103}, 'szpiro_ratio': 6.191027178841596, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}