Elliptic curve isogeny class data - 160446.w

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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, -1, 1, -2, -1, 0, 1, 1, -2, 0, -1, -1, 0, 2, 1, -1, 1, 0, -2], 'aplist': [1, -1, -2, 0, 0, -1, -1, 0, 0, 2, 8, 10, 6, 4, -8, -2, -4, 10, 8, -12, -6, 8, -12, -10, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 160446, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '160446.w', 'trace_hash': 475526668464645888}
• lmfdb_iso 160446.w 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 1038851
    {'Ciso': '160446r', 'Clabel': '160446r4', 'Cnumber': 4, 'abc_quality': 1.0200658980626969, 'absD': 10321900959084, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 58344, 'ainvs': [1, 1, 1, -132074, -18528949], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 160446, 'degree': 737280, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5793960835675277388343116762', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 4], 'jinv': [143820170742457, 5826444], 'lmfdb_iso': '160446.w', 'lmfdb_label': '160446.w1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1091, 13425], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '44.12.0-4.c.1.2', '104.12.0.?', '204.12.0.?', '1144.24.0.?', '2244.24.0.?', '5304.24.0.?', '58344.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.8825609928711695075934455464', 'prec': 100}, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.38044844716834246680333988722', 'prec': 103}, 'szpiro_ratio': 3.920247178419443, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1038850
    {'Ciso': '160446r', 'Clabel': '160446r3', 'Cnumber': 3, 'abc_quality': 0.927442619481365, 'absD': 623218244935572, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 58344, 'ainvs': [1, 1, 1, -40114, 2832875], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 160446, 'degree': 737280, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5793960835675277388343116762', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 4], 'jinv': [4029546653497, 351790452], 'lmfdb_iso': '160446.w', 'lmfdb_label': '160446.w2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -331, -2279], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '26.6.0.b.1', '44.12.0-4.c.1.1', '52.12.0.g.1', '408.12.0.?', '572.24.0.?', '4488.24.0.?', '5304.24.0.?', '58344.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.8825609928711695075934455464', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.38044844716834246680333988722', 'prec': 103}, 'szpiro_ratio': 3.621982910555527, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1038849
    {'Ciso': '160446r', 'Clabel': '160446r2', 'Cnumber': 2, 'abc_quality': 0.8925344207687699, 'absD': 12459572755344, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 29172, 'ainvs': [1, 1, 1, -8654, -262789], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 160446, 'degree': 368640, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2328224932875550841256956155', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2], 'jinv': [40459583737, 7033104], 'lmfdb_iso': '160446.w', 'lmfdb_label': '160446.w3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -71, 165], 'min_quad_twist_disc': -11, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '44.12.0-2.a.1.1', '52.12.0.b.1', '204.12.0.?', '572.24.0.?', '2244.24.0.?', '2652.24.0.?', '29172.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9412804964355847537967227732', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.033874856888369812094723826517', 'prec': 107}, 'szpiro_ratio': 3.2381003896618084, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1038848
    {'Ciso': '160446r', 'Clabel': '160446r1', 'Cnumber': 1, 'abc_quality': 0.85449985979477, 'absD': 300683505408, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 58344, 'ainvs': [1, 1, 1, 1026, -22725], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 160446, 'degree': 184320, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.88624890300758242941707955479', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 4], 'jinv': [67419143, 169728], 'lmfdb_iso': '160446.w', 'lmfdb_label': '160446.w4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 9, 21], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '88.12.0.?', '104.12.0.?', '408.12.0.?', '572.12.0.?', '1144.24.0.?', '1326.6.0.?', '2244.12.0.?', '2652.12.0.?', '4488.24.0.?', '5304.24.0.?', '29172.24.0.?', '58344.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.8825609928711695075934455464', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31269873339160284261389223419', 'prec': 107}, 'szpiro_ratio': 2.8052437369714007, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}