Elliptic curve isogeny class data - 1728.y

Formats: - HTML - YAML - JSON - 2025-04-03T16:59:12.756893

• 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, 0, 0, 3, 0, -1, 0, 0, 0, -3, 0, 4, 0, 0, 0, 0, 0, -2, 0], 'aplist': [0, 0, 3, -1, -3, 4, 0, -2, 6, 6, 5, -2, 6, 10, -6, 9, 12, -8, -14, 0, -7, 8, -3, 18, -1], 'class_deg': 9, 'class_size': 3, 'conductor': 1728, 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'lmfdb_iso': '1728.y', 'trace_hash': 1730641451199619672}
• lmfdb_iso 1728.y 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: 9633
    {'Ciso': '1728j', 'Clabel': '1728j2', 'Cnumber': 2, 'abc_quality': 1.094532742732785, 'absD': 10319560704, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 72, 'ainvs': [0, 0, 0, -1836, -30672], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 1728, 'degree': 1152, 'elladic_images': ['9.36.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.72451634274000679710197849719', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 24, 'isogeny_degrees': [1, 3, 9], 'jinv': [-132651, 2], 'lmfdb_iso': '1728.y', 'lmfdb_label': '1728.y1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -3, 3], 'min_quad_twist_disc': -24, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0-3.a.1.1', '9.36.0.d.2', '18.72.0-9.d.2.1', '24.16.0-24.d.1.2', '72.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 27], [3, 2, 32]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1391636446009934355703036127', 'prec': 103}, 'szpiro_ratio': 4.585733159713865, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 9634
    {'Ciso': '1728j', 'Clabel': '1728j3', 'Cnumber': 3, 'abc_quality': 1.0496550478531228, 'absD': 32614907904, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 72, 'ainvs': [0, 0, 0, -876, 13232], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 1728, 'degree': 1152, 'elladic_images': ['9.36.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.72451634274000679710197849719', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 24, 'isogeny_degrees': [1, 3, 9], 'jinv': [-1167051, 512], 'lmfdb_iso': '1728.y', 'lmfdb_label': '1728.y2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -123, -667], 'min_quad_twist_disc': -24, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0-3.a.1.2', '9.36.0.d.1', '18.72.0-9.d.1.2', '24.16.0-24.d.1.1', '72.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 27], [3, 8, 32]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.77295954837829020510522186705', 'prec': 107}, 'szpiro_ratio': 4.360181548457515, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 9632
    {'Ciso': '1728j', 'Clabel': '1728j1', 'Cnumber': 1, 'abc_quality': 1.198754152359422, 'absD': 56623104, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 72, 'ainvs': [0, 0, 0, 84, -208], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 1728, 'degree': 384, 'elladic_images': ['9.36.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.17521019840595195140435587873', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 24, 'isogeny_degrees': [1, 3], 'jinv': [9261, 8], 'lmfdb_iso': '1728.y', 'lmfdb_label': '1728.y3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 12, 8], 'min_quad_twist_disc': -24, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '6.24.0-3.a.1.1', '9.36.0.a.1', '18.72.0-9.a.1.1', '24.48.1-24.ci.1.3', '72.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 27], [3, 2, 64]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1391636446009934355703036127', 'prec': 103}, 'szpiro_ratio': 3.340977742749206, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}