Elliptic curve isogeny class data - 53958.s

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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, 0, -1, -2, -1, 1, 0, 0, 1, 2, 2, 0, 1, 1, -1, 4, 0], 'aplist': [-1, 1, 0, -2, 0, 2, 1, 4, 0, 0, -10, -8, 6, 4, 12, -6, -12, -8, 4, 6, 2, 10, -12, 18, -14], 'class_deg': 6, 'class_size': 4, 'conductor': 53958, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '53958.s', 'trace_hash': 340233575893948594}
• lmfdb_iso 53958.s 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: 358141
    {'Ciso': '53958v', 'Clabel': '53958v3', 'Cnumber': 3, 'abc_quality': 1.0866579960559595, 'absD': 1715916742043369472, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9384, 'ainvs': [1, 0, 1, -397026, 72764596], 'analytic_rank': 0, 'bad_primes': [2, 3, 17, 23], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 53958, 'degree': 855360, 'elladic_images': ['8.6.0.4', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2091734286459944999515542738', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [46753267515625, 11591221248], 'lmfdb_iso': '53958.s', 'lmfdb_label': '53958.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -751, -6046], 'min_quad_twist_disc': -23, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.d.1', '24.24.0.bx.1', '34.6.0.a.1', '69.8.0-3.a.1.1', '102.24.0.?', '136.12.0.?', '138.24.0.?', '408.48.1.?', '552.48.0.?', '2346.48.0.?', '9384.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 8993], [3, 4, 529], [17, 18, 3174], [23, 266, 102]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.64142632068141965454817785790', 'prec': 103}, 'szpiro_ratio': 4.615367972293118, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 358139
    {'Ciso': '53958v', 'Clabel': '53958v1', 'Cnumber': 1, 'abc_quality': 1.002934967692302, 'absD': 117414961432128, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9384, 'ainvs': [1, 0, 1, -135171, -19132226], 'analytic_rank': 0, 'bad_primes': [2, 3, 17, 23], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 53958, 'degree': 285120, 'elladic_images': ['8.6.0.4', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6598672843119396542539316553', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1845026709625, 793152], 'lmfdb_iso': '53958.s', 'lmfdb_label': '53958.s2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -256, 1550], 'min_quad_twist_disc': -23, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.d.1', '24.24.0.bx.1', '34.6.0.a.1', '69.8.0-3.a.1.2', '102.24.0.?', '136.12.0.?', '138.24.0.?', '408.48.1.?', '552.48.0.?', '2346.48.0.?', '9384.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 8993], [3, 4, 8993], [17, 18, 3174], [23, 266, 102]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.092120176347364808850555239396', 'prec': 107}, 'szpiro_ratio': 4.318708474356082, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 358140
    {'Ciso': '53958v', 'Clabel': '53958v2', 'Cnumber': 2, 'abc_quality': 1.0188378451820035, 'absD': 181890452128545288, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9384, 'ainvs': [1, 0, 1, -114011, -25319410], 'analytic_rank': 0, 'bad_primes': [2, 3, 17, 23], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 53958, 'degree': 570240, 'elladic_images': ['8.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0064408745919123089625477161', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-1107111813625, 1228691592], 'lmfdb_iso': '53958.s', 'lmfdb_label': '53958.s3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -216, 2062], 'min_quad_twist_disc': -23, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.a.1', '24.24.0.p.1', '68.6.0.c.1', '69.8.0-3.a.1.2', '136.12.0.?', '138.24.0.?', '204.24.0.?', '408.48.1.?', '552.48.0.?', '4692.48.0.?', '9384.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 529], [3, 4, 8993], [17, 18, 3174], [23, 266, 102]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.43869376662733746355917130019', 'prec': 103}, 'szpiro_ratio': 4.370110863147813, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 358142
    {'Ciso': '53958v', 'Clabel': '53958v4', 'Cnumber': 4, 'abc_quality': 1.053583581360511, 'absD': 148188848794788413952, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9384, 'ainvs': [1, 0, 1, 957214, 461702324], 'analytic_rank': 0, 'bad_primes': [2, 3, 17, 23], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 53958, 'degree': 1710720, 'elladic_images': ['8.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5557470189259671546601703345', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [655215969476375, 1001033261568], 'lmfdb_iso': '53958.s', 'lmfdb_label': '53958.s4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 1809, -37790], 'min_quad_twist_disc': -23, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.a.1', '24.24.0.p.1', '68.6.0.c.1', '69.8.0-3.a.1.1', '136.12.0.?', '138.24.0.?', '204.24.0.?', '408.48.1.?', '552.48.0.?', '4692.48.0.?', '9384.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 529], [3, 4, 529], [17, 18, 3174], [23, 266, 102]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.98799991096139230925679391860', 'prec': 103}, 'szpiro_ratio': 4.9030701019259615, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}