Elliptic curve isogeny class data - 5184.q

Formats: - HTML - YAML - JSON - 2025-11-07T09:33:34.379691

• 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, 2, 0, 0, 0, -3, 0, -2, 0, 0, 0, 3, 0, 1, 0], 'aplist': [0, 0, 0, 2, -3, -2, 3, 1, 6, 6, -4, 4, -9, 1, 6, 12, 3, -8, -5, 12, 11, -4, 12, -6, 5], 'class_deg': 21, 'class_size': 4, 'conductor': 5184, 'isogeny_matrix': [[1, 3, 21, 7], [3, 1, 7, 21], [21, 7, 1, 3], [7, 21, 3, 1]], 'lmfdb_iso': '5184.q', 'trace_hash': 1222437699621390972}
• lmfdb_iso 5184.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: 32230
    {'Ciso': '5184p', 'Clabel': '5184p3', 'Cnumber': 3, 'abc_quality': 1.1259568215438134, 'absD': 24461180928, 'adelic_genus': 21, 'adelic_index': 768, 'adelic_level': 504, 'ainvs': [0, 0, 0, -68940, 6967152], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 21, 'class_size': 4, 'cm': 0, 'conductor': 5184, 'degree': 8064, 'elladic_images': ['8.2.0.1', '3.4.0.1', '7.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3090888497175581459566884329', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 7, 'iso_nlabel': 16, 'isogeny_degrees': [1, 3, 7, 21], 'jinv': [-189613868625, 128], 'lmfdb_iso': '5184.q', 'lmfdb_label': '5184.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -1077, 13877], 'min_quad_twist_disc': 8, 'modell_images': ['3B', '7B'], 'modm_images': ['3.4.0.a.1', '7.8.0.a.1', '8.2.0.a.1', '12.8.0-3.a.1.3', '21.64.1.a.4', '24.16.0-24.a.1.2', '56.16.0.a.1', '63.192.5.e.1', '84.128.1.?', '168.256.5.?', '252.384.5.?', '504.768.21.?'], 'nonmax_primes': [2, 3, 7], 'nonmax_rad': 42, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 81], [3, 6, 32]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27993806545641466386678236775', 'prec': 107}, 'szpiro_ratio': 5.265384117686771, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 32231
    {'Ciso': '5184p', 'Clabel': '5184p4', 'Cnumber': 4, 'abc_quality': 1.1123490200903752, 'absD': 32462531054272512, 'adelic_genus': 21, 'adelic_index': 768, 'adelic_level': 504, 'ainvs': [0, 0, 0, -54540, 9958896], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 21, 'class_size': 4, 'cm': 0, 'conductor': 5184, 'degree': 24192, 'elladic_images': ['8.2.0.1', '3.4.0.1', '7.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8583949940516129916543110514', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 21, 'iso_nlabel': 16, 'isogeny_degrees': [1, 3, 7, 21], 'jinv': [-1159088625, 2097152], 'lmfdb_iso': '5184.q', 'lmfdb_label': '5184.q2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -852, 19664], 'min_quad_twist_disc': 8, 'modell_images': ['3B', '7B'], 'modm_images': ['3.4.0.a.1', '7.8.0.a.1', '8.2.0.a.1', '12.8.0-3.a.1.4', '21.64.1.a.1', '24.16.0-24.a.1.4', '56.16.0.a.1', '63.192.5.e.3', '84.128.1.?', '168.256.5.?', '252.384.5.?', '504.768.21.?'], 'nonmax_primes': [2, 3, 7], 'nonmax_rad': 42, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 81], [3, 4, 32]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.096836017345063048634241494888', 'prec': 110}, 'szpiro_ratio': 5.348921078297972, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 32229
    {'Ciso': '5184p', 'Clabel': '5184p2', 'Cnumber': 2, 'abc_quality': 1.1780968639246816, 'absD': 123834728448, 'adelic_genus': 21, 'adelic_index': 768, 'adelic_level': 504, 'ainvs': [0, 0, 0, -2700, -56592], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 21, 'class_size': 4, 'cm': 0, 'conductor': 5184, 'degree': 3456, 'elladic_images': ['8.2.0.1', '3.4.0.1', '7.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.88543991952395633910163467965', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 16, 'isogeny_degrees': [1, 3, 7, 21], 'jinv': [-140625, 8], 'lmfdb_iso': '5184.q', 'lmfdb_label': '5184.q3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -42, -100], 'min_quad_twist_disc': 8, 'modell_images': ['3B', '7B'], 'modm_images': ['3.4.0.a.1', '7.8.0.a.1', '8.2.0.a.1', '12.8.0-3.a.1.4', '21.64.1.a.3', '24.16.0-24.a.1.4', '56.16.0.a.1', '63.192.5.e.4', '84.128.1.?', '168.256.5.?', '252.384.5.?', '504.768.21.?'], 'nonmax_primes': [2, 3, 7], 'nonmax_rad': 42, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 81], [3, 4, 32]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0697910918727197011869178666', 'prec': 103}, 'szpiro_ratio': 4.139952754675832, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 32228
    {'Ciso': '5184p', 'Clabel': '5184p1', 'Cnumber': 1, 'abc_quality': 1.4265653296335434, 'absD': 382205952, 'adelic_genus': 21, 'adelic_index': 768, 'adelic_level': 504, 'ainvs': [0, 0, 0, 180, -144], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 21, 'class_size': 4, 'cm': 0, 'conductor': 5184, 'degree': 1152, 'elladic_images': ['8.2.0.1', '3.4.0.1', '7.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.33613377518990149340401206119', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 3, 7, 21], 'jinv': [3375, 2], 'lmfdb_iso': '5184.q', 'lmfdb_label': '5184.q4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 3, -1], 'min_quad_twist_disc': 8, 'modell_images': ['3B', '7B'], 'modm_images': ['3.4.0.a.1', '7.8.0.a.1', '8.2.0.a.1', '12.8.0-3.a.1.3', '21.64.1.a.2', '24.16.0-24.a.1.2', '56.16.0.a.1', '63.192.5.e.2', '84.128.1.?', '168.256.5.?', '252.384.5.?', '504.768.21.?'], 'nonmax_primes': [2, 3, 7], 'nonmax_rad': 42, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 81], [3, 6, 32]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2528931399840713164194587395', 'prec': 103}, 'szpiro_ratio': 3.1791672331496565, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}