Elliptic curve isogeny class data - 1293.b

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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, 4, 3, 1, 2, 4, -1, -2, -4, -2, -1, -2, -1, -4, 2], 'aplist': [-1, 1, -2, 4, 4, -2, -2, -4, 8, 6, -4, -2, 2, 0, 0, 6, 12, -2, 16, -8, 2, 4, 4, 14, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 1293, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '1293.b', 'trace_hash': 2175969634797897265}
• lmfdb_iso 1293.b 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: 6918
    {'Ciso': '1293b', 'Clabel': '1293b4', 'Cnumber': 4, 'abc_quality': 0.9910404399141736, 'absD': 11637, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10344, 'ainvs': [1, 0, 0, -62064, 5946075], 'analytic_rank': 0, 'bad_primes': [3, 431], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1293, 'degree': 1992, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0250596874064334316834450598', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4], 'jinv': [26438903289204662017, 11637], 'lmfdb_iso': '1293.b', 'lmfdb_label': '1293.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -62064, 5946075], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '12.12.0-4.c.1.1', '24.24.0-24.ba.1.12', '1724.12.0.?', '2586.6.0.?', '3448.24.0.?', '5172.24.0.?', '10344.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, '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': '1.0250596874064334316834450598', 'prec': 100}, 'szpiro_ratio': 6.241886053402921, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 6917
    {'Ciso': '1293b', 'Clabel': '1293b3', 'Cnumber': 3, 'abc_quality': 0.9568573351401234, 'absD': 931693026267, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10344, 'ainvs': [1, 0, 0, -4014, 85833], 'analytic_rank': 0, 'bad_primes': [3, 431], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1293, 'degree': 1992, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0250596874064334316834450598', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4], 'jinv': [7152577607925217, 931693026267], 'lmfdb_iso': '1293.b', 'lmfdb_label': '1293.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -4014, 85833], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '12.24.0-12.h.1.1', '3448.24.0.?', '10344.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, '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': '1.0250596874064334316834450598', 'prec': 100}, 'szpiro_ratio': 5.0952789866606185, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 6916
    {'Ciso': '1293b', 'Clabel': '1293b2', 'Cnumber': 2, 'abc_quality': 0.9531190587494701, 'absD': 135419769, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5172, 'ainvs': [1, 0, 0, -3879, 92664], 'analytic_rank': 0, 'bad_primes': [3, 431], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1293, 'degree': 996, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.67848609712646077697482899906', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [6454907876131057, 135419769], 'lmfdb_iso': '1293.b', 'lmfdb_label': '1293.b3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -3879, 92664], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '12.24.0-12.a.1.2', '1724.24.0.?', '5172.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, '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': '0.67848609712646077697482899906', 'prec': 103}, 'szpiro_ratio': 5.080954346140239, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 6915
    {'Ciso': '1293b', 'Clabel': '1293b1', 'Cnumber': 1, 'abc_quality': 0.9018636303751637, 'absD': 229051071, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10344, 'ainvs': [1, 0, 0, -234, 1539], 'analytic_rank': 0, 'bad_primes': [3, 431], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1293, 'degree': 498, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.33191250684648812226621293834', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4], 'jinv': [-1417383186337, 229051071], 'lmfdb_iso': '1293.b', 'lmfdb_label': '1293.b4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -234, 1539], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '24.24.0-24.ba.1.8', '862.6.0.?', '1724.24.0.?', '10344.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.33191250684648812226621293834', 'prec': 103}, 'szpiro_ratio': 3.9395962060063727, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}