Elliptic curve isogeny class data - 130050.ha

Formats: - HTML - YAML - JSON - 2025-10-10T10:45:02.646892

• 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, 0, 1, 0, 0, 4, 1, 0, 0, -3, 0, -2, 4, 0, 1, 0, 0, 8, 0], 'aplist': [1, 0, 0, 4, -3, -2, 0, 8, 6, -3, -7, -8, -6, 4, -6, -9, -15, 14, -2, 0, 7, -1, 12, 0, 13], 'class_deg': 3, 'class_size': 2, 'conductor': 130050, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '130050.ha', 'trace_hash': 799680834510648478}
• lmfdb_iso 130050.ha 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: 847843
    {'Ciso': '130050ck', 'Clabel': '130050ck2', 'Cnumber': 2, 'abc_quality': 1.0840070424605754, 'absD': 17162979213900375000, 'adelic_genus': 2, 'adelic_index': 144, 'adelic_level': 360, 'ainvs': [1, -1, 1, -8461314455, 299576631559047], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 130050, 'degree': 99937152, 'elladic_images': ['9.36.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9731769212430487235063456936', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 182, 'isogeny_degrees': [1, 3], 'jinv': [-843137281012581793, 216], 'lmfdb_iso': '130050.ha', 'lmfdb_label': '130050.ha1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -130124, -18121147], 'min_quad_twist_disc': -255, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.36.0.f.1', '15.8.0-3.a.1.2', '24.8.0.d.1', '45.72.0-9.f.1.1', '72.72.2.?', '120.16.0.?', '360.144.2.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 65025], [3, 2, 7225], [5, 14, 5202], [17, 114, 450]], 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73034292465446630367532032994', 'prec': 103}, 'szpiro_ratio': 6.8097938429918115, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 847842
    {'Ciso': '130050ck', 'Clabel': '130050ck1', 'Cnumber': 1, 'abc_quality': 1.037140822363524, 'absD': 800755958203735896000000, 'adelic_genus': 2, 'adelic_index': 144, 'adelic_level': 360, 'ainvs': [1, -1, 1, -104301455, 412280185047], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 130050, 'degree': 33312384, 'elladic_images': ['9.36.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4238707769089938778087230751', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 182, 'isogeny_degrees': [1, 3], 'jinv': [-1579268174113, 10077696], 'lmfdb_iso': '130050.ha', 'lmfdb_label': '130050.ha2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1604, -25531], 'min_quad_twist_disc': -255, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.36.0.f.2', '15.8.0-3.a.1.1', '24.8.0.d.1', '45.72.0-9.f.2.1', '72.72.2.?', '120.16.0.?', '360.144.2.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 65025], [3, 2, 7225], [5, 14, 5202], [17, 114, 450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.18103678032041145797769771144', 'prec': 103}, 'szpiro_ratio': 5.690795748132855, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}