Elliptic curve isogeny class data - 194579.j

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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, -2, -3, 0, 0, 0, -2, 0, -1, -2, -4, 0, -3, 4, 6, 0, 0, 6], 'aplist': [0, 1, -3, 0, -1, -4, 6, 0, 3, 6, 5, -11, 6, 8, 0, 6, -9, 10, -5, -9, -2, 10, -12, -3, -1], 'class_deg': 9, 'class_size': 3, 'conductor': 194579, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '194579.j', 'trace_hash': 1101701060298091435}
• lmfdb_iso 194579.j 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: 1249969
    {'Ciso': '194579j', 'Clabel': '194579j1', 'Cnumber': 1, 'abc_quality': 1.0060400503962048, 'absD': 2983311560181491, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 26334, 'ainvs': [0, 1, 1, -1580217, 764058502], 'analytic_rank': 1, 'bad_primes': [7, 11, 19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 194579, 'degree': 2280960, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1501748947254727460821090345', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 3, 9], 'jinv': [-78843215872, 539], 'lmfdb_iso': '194579.j', 'lmfdb_label': '194579.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -89, 295], 'min_quad_twist_disc': 133, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '22.2.0.a.1', '63.36.0.e.1', '66.8.0.a.1', '198.24.1.?', '399.8.0.?', '1197.72.0.?', '1386.72.3.?', '8778.16.0.?', '26334.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7059026066485951695044472787', 'prec': 100}, 'semistable': False, 'serre_invariants': [[7, 32, 3971], [11, 12, 17689], [19, 182, 539]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.29499966938540413647508105316', 'prec': 107}, 'szpiro_ratio': 4.469550080642021, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 1249970
    {'Ciso': '194579j', 'Clabel': '194579j2', 'Cnumber': 2, 'abc_quality': 1.0652168396120913, 'absD': 866714657775486946811, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 26334, 'ainvs': [0, 1, 1, -872657, 1450480147], 'analytic_rank': 1, 'bad_primes': [7, 11, 19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 194579, 'degree': 6842880, 'elladic_images': ['3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6994810390595275917797316529', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 9, 'isogeny_degrees': [1, 3], 'jinv': [-13278380032, 156590819], 'lmfdb_iso': '194579.j', 'lmfdb_label': '194579.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -49, 600], 'min_quad_twist_disc': 133, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '22.2.0.a.1', '63.36.0.b.1', '66.24.1.b.1', '399.24.0.?', '1197.72.0.?', '1386.72.3.?', '8778.48.1.?', '26334.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.1177078199457855085133418361', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 2, 17689], [7, 32, 3971], [11, 12, 17689], [19, 182, 539]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.25430647494865070922254156523', 'prec': 103}, 'szpiro_ratio': 4.574737419531883, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 1249971
    {'Ciso': '194579j', 'Clabel': '194579j3', 'Cnumber': 3, 'abc_quality': 1.0659265883154396, 'absD': 639499327714868567671571, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 26334, 'ainvs': [0, 1, 1, 7794953, -37549431048], 'analytic_rank': 1, 'bad_primes': [7, 11, 19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 194579, 'degree': 20528640, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2487871833935824374773542714', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 9, 'isogeny_degrees': [1, 3, 9], 'jinv': [9463555063808, 115539436859], 'lmfdb_iso': '194579.j', 'lmfdb_label': '194579.j3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 441, -15815], 'min_quad_twist_disc': 133, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '22.2.0.a.1', '63.36.0.e.2', '66.8.0.a.1', '198.24.1.?', '399.8.0.?', '1197.72.0.?', '1386.72.3.?', '8778.16.0.?', '26334.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '24.353123459837356525540025508', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 2, 17689], [7, 32, 3971], [11, 12, 17689], [19, 182, 539]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.80361261928270555492016418374', 'prec': 103}, 'szpiro_ratio': 5.109057290096932, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}