Elliptic curve isogeny class data - 50700.f

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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, -1, 0, 0, 0, -1, 0, 1, 0, -6, 0, 0, 0, 0, 0, 6, 0, -5, 0], 'aplist': [0, -1, 0, -1, -6, 0, 6, -5, 6, -6, 1, 2, 0, 1, 6, 12, 6, -13, 11, 0, 2, 8, -6, 0, -7], 'class_deg': 3, 'class_size': 2, 'conductor': 50700, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '50700.f', 'trace_hash': 1105035390726622433}
• lmfdb_iso 50700.f 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 336804
    {'Ciso': '50700c', 'Clabel': '50700c2', 'Cnumber': 2, 'abc_quality': 1.116419520515943, 'absD': 92674732800, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1170, 'ainvs': [0, -1, 0, -205053, -35671143], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 50700, 'degree': 221616, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5376915396622472063454441726', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 3], 'jinv': [-30866268160, 3], 'lmfdb_iso': '50700.f', 'lmfdb_label': '50700.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1213, -15863], 'min_quad_twist_disc': 13, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0.b.1', '18.24.0.c.1', '195.8.0.?', '390.16.0.?', '1170.48.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 12675], [3, 4, 16900], [5, 10, 2028], [13, 86, 300]], 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.47512091151416809705958085136', 'prec': 107}, 'szpiro_ratio': 4.458934919351012, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 336803
    {'Ciso': '50700c', 'Clabel': '50700c1', 'Cnumber': 1, 'abc_quality': 1.029908311854535, 'absD': 834072595200, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 390, 'ainvs': [0, -1, 0, -2253, -59463], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 50700, 'degree': 73872, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.98838539532819236064782155412', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 3], 'jinv': [-40960, 27], 'lmfdb_iso': '50700.f', 'lmfdb_label': '50700.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -13, -23], 'min_quad_twist_disc': 13, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.24.0.c.1', '195.8.0.?', '390.48.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 12675], [3, 4, 16900], [5, 10, 2028], [13, 86, 300]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0244270558482229427572034698', 'prec': 103}, 'szpiro_ratio': 3.27999944810496, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}