Elliptic curve isogeny class data - 55770.cp

Formats: - HTML - YAML - JSON - 2024-06-29T17:26:21.547747

• 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, -1, 1, -2, 1, 1, -1, 1, 1, 0, -2, -1, 1, 6, 1, 4, -1], 'aplist': [1, 1, -1, -2, 1, 0, 6, 4, 0, 0, -2, 4, -6, 8, 0, 12, 0, -10, -8, 0, 10, 8, 0, -6, 16], 'class_deg': 6, 'class_size': 4, 'conductor': 55770, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '55770.cp', 'trace_hash': 1824165795226929801}
• lmfdb_iso 55770.cp 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: 370576
    {'Ciso': '55770cs', 'Clabel': '55770cs4', 'Cnumber': 4, 'abc_quality': 1.016282579986875, 'absD': 3126924258194880, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 8580, 'ainvs': [1, 0, 0, -383895756, -2895162061104], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 55770, 'degree': 6967296, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2093487573908326096676089674', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 67, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1296294060988412126189641, 647824320], 'lmfdb_iso': '55770.cp', 'lmfdb_label': '55770.cp1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2271573, -1317954464], 'min_quad_twist_disc': 13, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.11', '39.8.0-3.a.1.2', '78.24.0.?', '156.48.0.?', '220.6.0.?', '660.48.0.?', '8580.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9268740786600642416408652466', 'prec': 100}, 'szpiro_ratio': 6.488361592669917, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 370575
    {'Ciso': '55770cs', 'Clabel': '55770cs3', 'Cnumber': 3, 'abc_quality': 0.9895865364729526, 'absD': 34149220001291366400, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 8580, 'ainvs': [1, 0, 0, -23993356, -45238916464], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 55770, 'degree': 3483648, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8627751671108599549589929066', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 67, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-316472948332146183241, 7074906009600], 'lmfdb_iso': '55770.cp', 'lmfdb_label': '55770.cp2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -141973, -20602144], 'min_quad_twist_disc': 13, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0-6.a.1.1', '39.8.0-3.a.1.2', '78.48.0.?', '220.6.0.?', '660.48.0.?', '8580.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5803004883800915869322491858', 'prec': 100}, 'szpiro_ratio': 5.727290112989622, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 370574
    {'Ciso': '55770cs', 'Clabel': '55770cs2', 'Cnumber': 2, 'abc_quality': 0.9702165942764087, 'absD': 93413672298587569500, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 8580, 'ainvs': [1, 0, 0, -4748481, -3955879539], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 55770, 'degree': 2322432, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6600426130567777639699863489', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 67, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2453170411237305241, 19353090685500], 'lmfdb_iso': '55770.cp', 'lmfdb_label': '55770.cp3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -28098, -1802744], 'min_quad_twist_disc': 13, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.5', '39.8.0-3.a.1.1', '78.24.0.?', '156.48.0.?', '220.6.0.?', '660.48.0.?', '8580.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3775679343260093959432426281', 'prec': 100}, 'szpiro_ratio': 5.282610910811134, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 370573
    {'Ciso': '55770cs', 'Clabel': '55770cs1', 'Cnumber': 1, 'abc_quality': 0.9783630208159978, 'absD': 8661224862897750000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 8580, 'ainvs': [1, 0, 0, -100981, -142141039], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 55770, 'degree': 1161216, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3134690227768051092613702882', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 67, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-23592983745241, 1794399750000], 'lmfdb_iso': '55770.cp', 'lmfdb_label': '55770.cp4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -598, -64744], 'min_quad_twist_disc': 13, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0-6.a.1.3', '39.8.0-3.a.1.1', '78.48.0.?', '220.6.0.?', '660.48.0.?', '8580.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0309943440460367412346265674', 'prec': 100}, 'szpiro_ratio': 4.67268077294967, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}