Elliptic curve isogeny class data - 4900.m

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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, 4, 0, 0, 0, 4, 0, -4, 0], 'aplist': [0, 0, 0, 0, 0, 4, 4, -4, -8, 2, 8, 8, -6, -8, 8, 0, 4, 6, -8, 12, -4, -4, 0, 10, -12], 'class_deg': 2, 'class_size': 2, 'conductor': 4900, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '4900.m', 'trace_hash': 725099356913288735}
• lmfdb_iso 4900.m 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: 30334
    {'Ciso': '4900p', 'Clabel': '4900p1', 'Cnumber': 1, 'abc_quality': 1.2529447405021057, 'absD': 180150031250000, 'adelic_genus': 3, 'adelic_index': 96, 'adelic_level': 560, 'ainvs': [0, 0, 0, -98000, 11790625], 'analytic_rank': 0, 'bad_primes': [2, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4900, 'degree': 17280, 'elladic_images': ['16.24.0.37'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6293486619364180386548678769', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2], 'jinv': [28311552, 49], 'lmfdb_iso': '4900.m', 'lmfdb_label': '4900.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -80, -275], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '8.12.0.v.1', '10.6.0.a.1', '16.24.0.m.2', '20.12.0.k.1', '28.12.0.m.1', '40.24.0.cr.1', '56.24.0.ec.1', '80.48.0.?', '112.48.1.?', '140.24.0.?', '280.48.1.?', '560.96.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 245], [5, 14, 196], [7, 32, 100]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.78173390710346233132078870190', 'prec': 107}, 'szpiro_ratio': 5.4244819259169486, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 30335
    {'Ciso': '4900p', 'Clabel': '4900p2', 'Cnumber': 2, 'abc_quality': 1.2007386141796184, 'absD': 141237624500000000, 'adelic_genus': 3, 'adelic_index': 96, 'adelic_level': 560, 'ainvs': [0, 0, 0, -67375, 19293750], 'analytic_rank': 0, 'bad_primes': [2, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4900, 'degree': 34560, 'elladic_images': ['16.24.0.32'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9759222522163906933634839376', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2], 'jinv': [-574992, 2401], 'lmfdb_iso': '4900.m', 'lmfdb_label': '4900.m2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -55, -450], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '8.12.0.s.1', '16.24.0.l.1', '20.12.0.l.1', '40.24.0.cu.1', '56.24.0.ds.1', '80.48.0.?', '112.48.1.?', '280.48.1.?', '560.96.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 245], [5, 14, 196], [7, 32, 100]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.66620937701013811308458334835', 'prec': 107}, 'szpiro_ratio': 5.54004728617352, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}