Elliptic curve isogeny class data - 178752.t

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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, 0, -2, 0, 0, 0, 1, 0, -4, 0, 2, 0, 2, 0, -2, 0, 1, 0], 'aplist': [0, -1, -2, 0, -4, 2, -2, 1, 0, 2, -8, 2, 2, 4, 0, 2, 12, 14, 8, 12, 14, 4, 4, 18, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 178752, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '178752.t', 'trace_hash': 949556822705610690}
• lmfdb_iso 178752.t 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: 1151990
    {'Ciso': '178752dg', 'Clabel': '178752dg3', 'Cnumber': 3, 'abc_quality': 0.9266087677152098, 'absD': 6728059901509632, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1064, 'ainvs': [0, -1, 0, -561409, 162046753], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 178752, 'degree': 1572864, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0082860043773692945486262909', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [2538016415428, 872613], 'lmfdb_iso': '178752.t', 'lmfdb_label': '178752.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -2864, 58032], 'min_quad_twist_disc': 56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '56.24.0-56.ba.1.11', '152.24.0.?', '266.6.0.?', '532.12.0.?', '1064.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 931], [3, 4, 59584], [7, 32, 3648], [19, 20, 9408]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11113468910311889610630709057', 'prec': 103}, 'szpiro_ratio': 4.2441922483768035, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1151991
    {'Ciso': '178752dg', 'Clabel': '178752dg4', 'Cnumber': 4, 'abc_quality': 0.9107187063950507, 'absD': 63302829718044672, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1064, 'ainvs': [0, -1, 0, -287009, -57835455], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 178752, 'degree': 1572864, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0082860043773692945486262909', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [339112345828, 8210223], 'lmfdb_iso': '178752.t', 'lmfdb_label': '178752.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1464, -21600], 'min_quad_twist_disc': 56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '28.12.0.h.1', '56.24.0-28.h.1.2', '152.24.0.?', '1064.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 49], [3, 4, 59584], [7, 32, 3648], [19, 20, 9408]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11113468910311889610630709057', 'prec': 103}, 'szpiro_ratio': 4.0777586867262015, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1151989
    {'Ciso': '178752dg', 'Clabel': '178752dg2', 'Cnumber': 2, 'abc_quality': 0.8684820178378448, 'absD': 2761827058335744, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1064, 'ainvs': [0, -1, 0, -40049, 1780689], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 178752, 'degree': 786432, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6617124140973966398400102302', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2], 'jinv': [3685542352, 1432809], 'lmfdb_iso': '178752.t', 'lmfdb_label': '178752.t3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -204, 576], 'min_quad_twist_disc': 56, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '28.12.0.a.1', '56.24.0-28.a.1.1', '76.12.0.?', '152.24.0.?', '532.24.0.?', '1064.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 49], [3, 4, 59584], [7, 32, 3648], [19, 20, 9408]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.11991437108352954036610361656', 'prec': 107}, 'szpiro_ratio': 3.589224869442393, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1151988
    {'Ciso': '178752dg', 'Clabel': '178752dg1', 'Cnumber': 1, 'abc_quality': 0.8829692481031437, 'absD': 49462546000896, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1064, 'ainvs': [0, -1, 0, 7971, 196029], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 178752, 'degree': 393216, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3151388238174239851313941694', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [464857088, 410571], 'lmfdb_iso': '178752.t', 'lmfdb_label': '178752.t4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 41, 86], 'min_quad_twist_disc': 56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '38.6.0.b.1', '56.24.0-56.ba.1.1', '76.12.0.?', '152.24.0.?', '1064.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 931], [3, 4, 59584], [7, 32, 3648], [19, 20, 9408]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.23543890117685375860230897020', 'prec': 107}, 'szpiro_ratio': 3.1887676240254588, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}