Elliptic curve isogeny class data - 71478.s

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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, 2, -1, 0, 0, -1, 0, -2, -2, 0, 1, -6, 0, 0, 0], 'aplist': [-1, 0, 0, 2, -1, -2, -6, 0, 0, 6, 4, -2, -6, -10, 12, 12, -12, -10, -8, -12, 14, -2, -12, 0, -2], 'class_deg': 6, 'class_size': 4, 'conductor': 71478, 'isogeny_matrix': [[1, 3, 2, 6], [3, 1, 6, 2], [2, 6, 1, 3], [6, 2, 3, 1]], 'lmfdb_iso': '71478.s', 'trace_hash': 138823621831659493}
• lmfdb_iso 71478.s 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: 472722
    {'Ciso': '71478c', 'Clabel': '71478c4', 'Cnumber': 4, 'abc_quality': 1.0886490953708667, 'absD': 6561890825567654412, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 2508, 'ainvs': [1, -1, 0, -478212, -31693132], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 71478, 'degree': 1368576, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3015846698055626909386693811', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [13060888875, 7086244], 'lmfdb_iso': '71478.s', 'lmfdb_label': '71478.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -147, -135], 'min_quad_twist_disc': 57, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.h.1', '44.6.0.e.1', '57.8.0-3.a.1.2', '114.24.0.?', '132.48.1.?', '228.48.0.?', '2508.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1083], [3, 2, 722], [11, 12, 6498], [19, 182, 198]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.0054059637212601923877217374643', 'prec': 110}, 'szpiro_ratio': 4.5491968246166286, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 472720
    {'Ciso': '71478c', 'Clabel': '71478c2', 'Cnumber': 2, 'abc_quality': 1.0492563620983195, 'absD': 9836729166528, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 2508, 'ainvs': [1, -1, 0, -369912, -86503040], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 71478, 'degree': 456192, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7522785254715078452410467626', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4406910829875, 7744], 'lmfdb_iso': '71478.s', 'lmfdb_label': '71478.s2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -9222, -338572], 'min_quad_twist_disc': 57, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.h.1', '44.6.0.e.1', '57.8.0-3.a.1.1', '114.24.0.?', '132.48.1.?', '228.48.0.?', '2508.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1083], [3, 6, 3971], [11, 12, 6498], [19, 182, 198]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.0054059637212601923877217374265', 'prec': 110}, 'szpiro_ratio': 4.48027343816327, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 472721
    {'Ciso': '71478c', 'Clabel': '71478c3', 'Cnumber': 3, 'abc_quality': 0.9992841605881851, 'absD': 19720182796597008, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 2508, 'ainvs': [1, -1, 0, -283272, 57706352], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 71478, 'degree': 684288, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9550110795255900362300533204', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2714704875, 21296], 'lmfdb_iso': '71478.s', 'lmfdb_label': '71478.s3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -87, 333], 'min_quad_twist_disc': 57, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.i.1', '44.6.0.e.1', '57.8.0-3.a.1.2', '66.24.0.b.1', '114.24.0.?', '132.48.1.?', '228.48.0.?', '1254.48.0.?', '2508.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 11913], [3, 2, 722], [11, 12, 6498], [19, 182, 198]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.34116762655871246232089432324', 'prec': 107}, 'szpiro_ratio': 4.408647611188035, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 472719
    {'Ciso': '71478c', 'Clabel': '71478c1', 'Cnumber': 1, 'abc_quality': 0.9924779712445644, 'absD': 57231878787072, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 2508, 'ainvs': [1, -1, 0, -23352, -1318592], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 71478, 'degree': 228096, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4057049351915351905324307019', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1108717875, 45056], 'lmfdb_iso': '71478.s', 'lmfdb_label': '71478.s4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -582, -5068], 'min_quad_twist_disc': 57, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.i.1', '44.6.0.e.1', '57.8.0-3.a.1.1', '66.24.0.b.1', '114.24.0.?', '132.48.1.?', '228.48.0.?', '1254.48.0.?', '2508.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 11913], [3, 6, 3971], [11, 12, 6498], [19, 182, 198]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.34116762655871246232089432327', 'prec': 107}, 'szpiro_ratio': 3.738784895348992, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}