Elliptic curve isogeny class data - 21675.v

Formats: - HTML - YAML - JSON - 2025-10-16T14:34:43.399146

• 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, 1, -1, 0, 1, 4, -3, 1, 0, 4, -1, -2, 4, 0, -1, 0, 1, 4, 0], 'aplist': [1, 1, 0, 4, 4, -2, 0, 4, 4, 0, 4, 8, -8, -4, 8, 6, 12, -8, -12, -12, 0, -4, 12, -10, 16], 'class_deg': 2, 'class_size': 2, 'conductor': 21675, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '21675.v', 'trace_hash': 1586935838273723735}
• lmfdb_iso 21675.v 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: 143878
    {'Ciso': '21675q', 'Clabel': '21675q1', 'Cnumber': 1, 'abc_quality': 0.9424416881856162, 'absD': 6218015625, 'adelic_genus': 5, 'adelic_index': 192, 'adelic_level': 4080, 'ainvs': [1, 0, 1, -576, 3673], 'analytic_rank': 0, 'bad_primes': [3, 5, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 21675, 'degree': 13824, 'elladic_images': ['8.24.0.84'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.58498261694037978055075414920', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2], 'jinv': [274625, 81], 'lmfdb_iso': '21675.v', 'lmfdb_label': '21675.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -23, 20], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.f.1', '8.24.0.bh.1', '34.6.0.a.1', '48.48.1.gv.1', '68.24.0.h.1', '136.48.1.?', '816.96.5.?', '1360.96.1.?', '2040.96.1.?', '4080.192.5.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 425], [3, 4, 7225], [5, 14, 867], [17, 82, 75]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.92803967529072442681200917188', 'prec': 107}, 'szpiro_ratio': 3.072885729292658, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 143879
    {'Ciso': '21675q', 'Clabel': '21675q2', 'Cnumber': 2, 'abc_quality': 1.115210684510371, 'absD': 503659265625, 'adelic_genus': 5, 'adelic_index': 192, 'adelic_level': 4080, 'ainvs': [1, 0, 1, 1549, 24923], 'analytic_rank': 0, 'bad_primes': [3, 5, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 21675, 'degree': 27648, 'elladic_images': ['8.24.0.127'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.93155620722035243525937020993', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2], 'jinv': [5359375, 6561], 'lmfdb_iso': '21675.v', 'lmfdb_label': '21675.v2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 62, 224], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '8.24.0.bj.1', '48.48.1.gx.1', '68.12.0.l.1', '136.48.1.?', '816.96.5.?', '1360.96.1.?', '4080.192.5.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 425], [3, 4, 7225], [5, 14, 867], [17, 82, 75]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.58146608501075177210339311115', 'prec': 107}, 'szpiro_ratio': 3.3814260557641993, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}