Elliptic curve isogeny class data - 201600.em

Formats: - HTML - YAML - JSON - 2025-11-01T05:38:55.131222

• 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, -1, 0, 0, 0, 4, 0, 2, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, 0, 0, -1, 4, 2, 6, -4, 0, 0, -2, -4, 0, 12, 6, 6, 4, -2, 0, -8, -4, 12, -12, -4, -12], 'class_deg': 2, 'class_size': 2, 'conductor': 201600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '201600.em', 'trace_hash': 574504584071777462}
• lmfdb_iso 201600.em 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: 1292305
    {'Ciso': '201600du', 'Clabel': '201600du2', 'Cnumber': 2, 'abc_quality': 0.7960428391559143, 'absD': 137168640000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 840, 'ainvs': [0, 0, 0, -13800, -268000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 201600, 'degree': 491520, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4068565177853910635043494047', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 116, 'isogeny_degrees': [1, 2], 'jinv': [1557376, 735], 'lmfdb_iso': '201600.em', 'lmfdb_label': '201600.em1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -61, -59], 'min_quad_twist_disc': 60, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.c.1', '60.6.0.a.1', '840.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3807920905761096356062320960', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 225], [3, 8, 22400], [5, 18, 8064], [7, 8, 28800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.75584029341898349714709035541', 'prec': 107}, 'szpiro_ratio': 3.2921844011022414, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1292304
    {'Ciso': '201600du', 'Clabel': '201600du1', 'Cnumber': 1, 'abc_quality': 0.8163325011222861, 'absD': 2296350000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 840, 'ainvs': [0, 0, 0, 3075, -31750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 201600, 'degree': 245760, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0602829275054184087957333439', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 116, 'isogeny_degrees': [1, 2], 'jinv': [2205472, 1575], 'lmfdb_iso': '201600.em', 'lmfdb_label': '201600.em2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 14, -14], 'min_quad_twist_disc': 60, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.b.1', '60.6.0.b.1', '840.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.7615841811522192712124641919', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1575], [3, 8, 22400], [5, 18, 8064], [7, 8, 28800]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.69807802837232138802898767869', 'prec': 107}, 'szpiro_ratio': 2.923421013058176, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}