Elliptic curve isogeny class data - 221760.ck

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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, -1, 0, -1, 0, 0, 0, 1, 0, -2, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, 0, -1, -1, 1, -2, 6, 4, 8, 2, 4, -2, -10, -4, -8, 10, 4, 10, 0, -8, -6, -4, -8, 6, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 221760, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '221760.ck', 'trace_hash': 988031943830904379}
• lmfdb_iso 221760.ck 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: 1417355
    {'Ciso': '221760er', 'Clabel': '221760er4', 'Cnumber': 4, 'abc_quality': 0.9434605475722512, 'absD': 41385738240000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -1064748, -422881072], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 221760, 'degree': 2097152, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9753086246667593885693617254', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2, 4], 'jinv': [1397097631688978, 433125], 'lmfdb_iso': '221760.ck', 'lmfdb_label': '221760.ck1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -29576, -1947924], 'min_quad_twist_disc': 24, '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.y.1', '120.24.0.?', '616.12.0.?', '1848.24.0.?', '3080.24.0.?', '9240.48.0.?'], '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, 693], [3, 8, 24640], [5, 6, 44352], [7, 8, 31680], [11, 12, 20160]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.44404397453944868786399360154', 'prec': 103}, 'szpiro_ratio': 4.325845382315363, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1417353
    {'Ciso': '221760er', 'Clabel': '221760er2', 'Cnumber': 2, 'abc_quality': 0.8833384304559494, 'absD': 573606332006400, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -66828, -6548848], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 221760, 'degree': 1048576, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6287350343867867338607456646', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2], 'jinv': [690862540036, 12006225], 'lmfdb_iso': '221760.ck', 'lmfdb_label': '221760.ck2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1856, -29700], 'min_quad_twist_disc': 24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '40.12.0.b.1', '120.24.0.?', '616.12.0.?', '1540.12.0.?', '1848.24.0.?', '3080.24.0.?', '4620.24.0.?', '9240.48.0.?'], '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, 9], [3, 8, 24640], [5, 6, 44352], [7, 8, 31680], [11, 12, 20160]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.15523264930613814227348021753', 'prec': 103}, 'szpiro_ratio': 3.651145811925585, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1417352
    {'Ciso': '221760er', 'Clabel': '221760er1', 'Cnumber': 1, 'abc_quality': 0.8404567195900786, 'absD': 30170203176960, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -8508, 146288], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 221760, 'degree': 524288, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2821614441068140791521296039', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2, 4], 'jinv': [5702413264, 2525985], 'lmfdb_iso': '221760.ck', 'lmfdb_label': '221760.ck3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -236, 756], 'min_quad_twist_disc': 24, '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.y.1', '120.24.0.?', '616.12.0.?', '770.6.0.?', '1540.12.0.?', '1848.24.0.?', '3080.24.0.?', '9240.48.0.?'], '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, 3465], [3, 8, 24640], [5, 6, 44352], [7, 8, 31680], [11, 12, 20160]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.075816410880510294198930489596', 'prec': 110}, 'szpiro_ratio': 3.1488166660841457, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1417354
    {'Ciso': '221760er', 'Clabel': '221760er3', 'Cnumber': 3, 'abc_quality': 1.1508041336479642, 'absD': 151151641887375360, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -2028, -18705328], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 221760, 'degree': 2097152, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9753086246667593885693617254', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2, 4], 'jinv': [-9653618, 1581886845], 'lmfdb_iso': '221760.ck', 'lmfdb_label': '221760.ck4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -56, -86580], 'min_quad_twist_disc': 24, '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.s.1', '120.24.0.?', '616.12.0.?', '1848.24.0.?', '3080.24.0.?', '9240.48.0.?'], '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, 45], [3, 8, 24640], [5, 6, 44352], [7, 8, 31680], [11, 12, 20160]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.44404397453944868786399360154', 'prec': 103}, 'szpiro_ratio': 3.8191926998283154, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}