Elliptic curve isogeny class data - 485100.q

Formats: - HTML - YAML - JSON - 2025-10-11T12:35:50.541270

• 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, 0, 0, 0, 0, 0, 0, -1, 0, -4, 0, 0, 0, 0, 0, 8, 0], 'aplist': [0, 0, 0, 0, -1, -4, 0, 8, -4, -2, -4, 8, -2, 0, -4, -12, -12, -2, 12, 0, 12, 12, -8, 6, 0], 'class_deg': 2, 'class_size': 2, 'conductor': 485100, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '485100.q', 'trace_hash': 1615338024009843327}
• lmfdb_iso 485100.q 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: 2976836
    {'Ciso': '485100q', 'Clabel': '485100q1', 'Cnumber': 1, 'abc_quality': 1.1419536834162178, 'absD': 28606456120061531250000, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 1320, 'ainvs': [0, 0, 0, -11172000, -11847434375], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 485100, 'degree': 35389440, 'elladic_images': ['4.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0271982625323135917295201878', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2], 'jinv': [57537462272, 10673289], 'lmfdb_iso': '485100.q', 'lmfdb_label': '485100.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1013, -10572], 'min_quad_twist_disc': 105, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '10.6.0.a.1', '12.12.0.n.1', '20.12.0.k.1', '60.24.0.u.1', '88.12.0.?', '264.24.0.?', '440.24.0.?', '1320.48.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.1788888284250281027459794237', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2205], [3, 6, 53900], [5, 14, 19404], [7, 26, 9900], [11, 12, 44100]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.066809549158378376056240990542', 'prec': 107}, 'szpiro_ratio': 4.6058553671971145, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2976837
    {'Ciso': '485100q', 'Clabel': '485100q2', 'Cnumber': 2, 'abc_quality': 0.9736344697696858, 'absD': 2757567803176840500000000, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 1320, 'ainvs': [0, 0, 0, 22178625, -69043756250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 485100, 'degree': 70778880, 'elladic_images': ['4.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3737718528122862464381362485', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2], 'jinv': [28134667888, 64304361], 'lmfdb_iso': '485100.q', 'lmfdb_label': '485100.q2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 2012, -58972], 'min_quad_twist_disc': 105, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '20.12.0.l.1', '24.12.0.bu.1', '88.12.0.?', '120.24.0.?', '264.24.0.?', '440.24.0.?', '1320.48.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.5894444142125140513729897118', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2205], [3, 6, 53900], [5, 14, 19404], [7, 26, 9900], [11, 12, 44100]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.18233407925170259429244634409', 'prec': 103}, 'szpiro_ratio': 4.845602160099542, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}