Elliptic curve isogeny class data - 44520.x

Formats: - HTML - YAML - JSON - 2026-04-06T14:27:23.296377

• 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, 1, 0, 1, 0, 1, 0, 1, 0, 4, 0, -6, 0, 1, 0, 6, 0, 8, 0], 'aplist': [0, 1, 1, 1, 4, -6, 6, 8, 8, -2, 0, 2, -2, -8, 12, 1, 4, 10, -12, -4, 10, -8, -4, -14, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 44520, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '44520.x', 'trace_hash': 1220843165401529993}
• lmfdb_iso 44520.x 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 296349
    {'Ciso': '44520x', 'Clabel': '44520x4', 'Cnumber': 4, 'abc_quality': 0.9438106074010382, 'absD': 84474165565440, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 6360, 'ainvs': [0, 1, 0, -306080, -65278560], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 53], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 44520, 'degree': 442368, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7773511126538813703907297395', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [1548460162842143042, 41247151155], 'lmfdb_iso': '44520.x', 'lmfdb_label': '44520.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -306080, -65278560], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '24.24.0-24.bb.1.14', '1060.12.0.?', '2120.24.0.?', '6360.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 795], [3, 4, 14840], [5, 6, 8904], [7, 8, 6360], [53, 54, 840]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1419661971405981700916002948', 'prec': 100}, 'szpiro_ratio': 4.625357615231441, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 296347
    {'Ciso': '44520x', 'Clabel': '44520x2', 'Cnumber': 2, 'abc_quality': 0.8997559221647482, 'absD': 125866858521600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 6360, 'ainvs': [0, 1, 0, -19880, -940800], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 53], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 44520, 'degree': 221184, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4307775223739087156821136788', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2], 'jinv': [848583809246884, 122916854025], 'lmfdb_iso': '44520.x', 'lmfdb_label': '44520.x2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -19880, -940800], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '24.24.0-24.a.1.4', '1060.24.0.?', '6360.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 14840], [5, 6, 8904], [7, 8, 6360], [53, 54, 840]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.85315487190728762450108691092', 'prec': 103}, 'szpiro_ratio': 3.859047402303891, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 296346
    {'Ciso': '44520x', 'Clabel': '44520x1', 'Cnumber': 1, 'abc_quality': 0.8689285046718717, 'absD': 1766594914560, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 6360, 'ainvs': [0, 1, 0, -5300, 132288], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 53], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 44520, 'degree': 110592, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0842039320939360609734976181', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [64326999643216, 6900761385], 'lmfdb_iso': '44520.x', 'lmfdb_label': '44520.x3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -5300, 132288], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '24.24.0-24.bb.1.4', '530.6.0.?', '1060.24.0.?', '6360.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 265], [3, 4, 14840], [5, 6, 8904], [7, 8, 6360], [53, 54, 840]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.62210581172063918802867620379', 'prec': 103}, 'szpiro_ratio': 3.4885319669603363, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 296348
    {'Ciso': '44520x', 'Clabel': '44520x3', 'Cnumber': 3, 'abc_quality': 0.933285393239588, 'absD': 13362056144640000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 6360, 'ainvs': [0, 1, 0, 33040, -5047392], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 53], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 44520, 'degree': 442368, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7773511126538813703907297395', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [1947604329004318, 6524441476875], 'lmfdb_iso': '44520.x', 'lmfdb_label': '44520.x4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 33040, -5047392], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '24.24.0-24.v.1.1', '2120.24.0.?', '6360.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 3], [3, 4, 14840], [5, 6, 8904], [7, 8, 6360], [53, 54, 840]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1419661971405981700916002948', 'prec': 100}, 'szpiro_ratio': 4.147752168146103, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}