Elliptic curve isogeny class data - 19.a

Formats: - HTML - YAML - JSON - 2024-07-27T03:31:49.669204

• 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, -2, -2, 3, 0, -1, 0, 1, 0, 3, 4, -4, 0, -6, 4, -3, 0, 1, -6], 'aplist': [0, -2, 3, -1, 3, -4, -3, 1, 0, 6, -4, 2, -6, -1, -3, 12, -6, -1, -4, 6, -7, 8, 12, 12, 8], 'class_deg': 9, 'class_size': 3, 'conductor': 19, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '19.a', 'trace_hash': 409437620317032020}
• lmfdb_iso 19.a 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: 22
    {'Ciso': '19a', 'Clabel': '19a2', 'Cnumber': 2, 'abc_quality': 1.104947099482495, 'absD': 19, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 1026, 'ainvs': [0, 1, 1, -769, -8470], 'analytic_rank': 0, 'bad_primes': [19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 19, 'degree': 3, 'elladic_images': ['27.72.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.033439156991317803520094883584', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3, 9], 'jinv': [-50357871050752, 19], 'lmfdb_iso': '19.a', 'lmfdb_label': '19.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -769, -8470], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '9.24.0-9.a.1.1', '27.72.0-27.a.1.1', '38.2.0.a.1', '114.16.0.?', '171.72.0.?', '342.144.3.?', '513.648.16.?', '1026.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 1, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.033439156991317803520094883584', 'prec': 107}, 'szpiro_ratio': 10.715174019054395, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 21
    {'Ciso': '19a', 'Clabel': '19a1', 'Cnumber': 1, 'abc_quality': 1.0331037033479094, 'absD': 6859, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 1026, 'ainvs': [0, 1, 1, -9, -15], 'analytic_rank': 0, 'bad_primes': [19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 19, 'degree': 1, 'elladic_images': ['9.72.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.51586698734273704217752773488', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [-89915392, 6859], 'lmfdb_iso': '19.a', 'lmfdb_label': '19.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -9, -15], 'min_quad_twist_disc': 1, 'modell_images': ['3Cs.1.1'], 'modm_images': ['3.24.0-3.a.1.1', '9.72.0-9.b.1.1', '38.2.0.a.1', '114.48.1.?', '171.216.4.?', '342.432.13.?', '513.648.16.?', '1026.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 1, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.51586698734273704217752773488', 'prec': 107}, 'szpiro_ratio': 6.262043087240102, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
  • id: 23
    {'Ciso': '19a', 'Clabel': '19a3', 'Cnumber': 3, 'abc_quality': 1.3175706029138485, 'absD': 19, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 1026, 'ainvs': [0, 1, 1, 1, 0], 'analytic_rank': 0, 'bad_primes': [19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 19, 'degree': 3, 'elladic_images': ['27.72.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-1.0651731316767918878751503533', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3, 9], 'jinv': [32768, 19], 'lmfdb_iso': '19.a', 'lmfdb_label': '19.a3', 'lmfdb_number': 3, 'manin_constant': 3, 'min_quad_twist_ainvs': [0, 1, 1, 1, 0], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '9.24.0-9.a.1.2', '27.72.0-27.a.1.2', '38.2.0.a.1', '114.16.0.?', '171.72.0.?', '342.144.3.?', '513.648.16.?', '1026.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 1, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0651731316767918878751503533', 'prec': 103}, 'szpiro_ratio': 3.5311337004995735, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}