Elliptic curve isogeny class data - 1600.n

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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, -3, 0, 0, 0, 6, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, 0, 0, 0, 0, 6, -2, 0, 0, 10, 0, -2, 10, 0, 0, 14, 0, 10, 0, 0, 6, 0, 0, 10, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 1600, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '1600.n', 'trace_hash': 159245006972566889}
• lmfdb_iso 1600.n 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: 8766
    {'Ciso': '1600o', 'Clabel': '1600o3', 'Cnumber': 3, 'abc_quality': 1.172456969504371, 'absD': 512000000, 'ainvs': [0, 0, 0, -1100, -14000], 'analytic_rank': 0, 'bad_primes': [2, 5], 'class_deg': 4, 'class_size': 4, 'cm': -16, 'conductor': 1600, 'degree': 512, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.53390680114545863317395276550', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [287496, 1], 'lmfdb_iso': '1600.n', 'lmfdb_label': '1600.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -11, -14], 'min_quad_twist_disc': 40, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 25], [5, 14, 64]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1372461307715231908979670529', 'prec': 103}, 'szpiro_ratio': 4.421776289369018, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 8767
    {'Ciso': '1600o', 'Clabel': '1600o4', 'Cnumber': 4, 'abc_quality': 1.172456969504371, 'absD': 512000000, 'ainvs': [0, 0, 0, -1100, 14000], 'analytic_rank': 0, 'bad_primes': [2, 5], 'class_deg': 4, 'class_size': 4, 'cm': -16, 'conductor': 1600, 'degree': 512, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.53390680114545863317395276550', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [287496, 1], 'lmfdb_iso': '1600.n', 'lmfdb_label': '1600.n2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -11, -14], 'min_quad_twist_disc': -40, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 25], [5, 14, 64]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1372461307715231908979670529', 'prec': 103}, 'szpiro_ratio': 4.421776289369018, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 8765
    {'Ciso': '1600o', 'Clabel': '1600o2', 'Cnumber': 2, 'absD': 64000000, 'ainvs': [0, 0, 0, -100, 0], 'analytic_rank': 0, 'bad_primes': [2, 5], 'class_deg': 4, 'class_size': 4, 'cm': -4, 'conductor': 1600, 'degree': 256, 'elladic_images': ['16.192.9.143'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.18733321086548597846533670477', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [1728, 1], 'lmfdb_iso': '1600.n', 'lmfdb_label': '1600.n3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -1, 0], 'min_quad_twist_disc': 40, 'modell_images': ['2Cs'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 25], [5, 14, 64]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3105329259115095182522750833', 'prec': 103}, 'szpiro_ratio': 3.4467260189715234, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 8764
    {'Ciso': '1600o', 'Clabel': '1600o1', 'Cnumber': 1, 'absD': 1000000, 'ainvs': [0, 0, 0, 25, 0], 'analytic_rank': 0, 'bad_primes': [2, 5], 'class_deg': 4, 'class_size': 4, 'cm': -4, 'conductor': 1600, 'degree': 128, 'elladic_images': ['16.192.9.178'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.15924037941448667624327935596', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [1728, 1], 'lmfdb_iso': '1600.n', 'lmfdb_label': '1600.n4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 4, 0], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 25], [5, 14, 64]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3105329259115095182522750833', 'prec': 103}, 'szpiro_ratio': 2.8830205448442006, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}