Elliptic curve isogeny class data - 115600.x

Formats: - HTML - YAML - JSON - 2025-11-02T02:22:02.109984

• 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, 0, 0, -2, 0, -2, 0, -3, 0, 4, 0, 0, 0, 0, 0, -5, 0], 'aplist': [0, -1, 0, -2, -3, 4, 0, -5, -6, 0, 2, 2, 3, -4, 12, -6, 0, -2, -13, 12, 11, -10, -9, 15, 2], 'class_deg': 15, 'class_size': 4, 'conductor': 115600, 'isogeny_matrix': [[1, 3, 15, 5], [3, 1, 5, 15], [15, 5, 1, 3], [5, 15, 3, 1]], 'lmfdb_iso': '115600.x', 'trace_hash': 2255032997728672258}
• lmfdb_iso 115600.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
  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: 756003
    {'Ciso': '115600bq', 'Clabel': '115600bq4', 'Cnumber': 4, 'abc_quality': 1.050775872125697, 'absD': 7724022080000000000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 2040, 'ainvs': [0, -1, 0, -14510208, 21279718912], 'analytic_rank': 0, 'bad_primes': [2, 5, 17], 'class_deg': 15, 'class_size': 4, 'cm': 0, 'conductor': 115600, 'degree': 3628800, 'elladic_images': ['8.2.0.1', '3.4.0.1', '5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7376793569952768497861763355', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 15, 'iso_nlabel': 23, 'isogeny_degrees': [1, 3, 5, 15], 'jinv': [-349938025, 8], 'lmfdb_iso': '115600.x', 'lmfdb_label': '115600.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -126, -552], 'min_quad_twist_disc': -340, 'modell_images': ['3B', '5B.4.2'], 'modm_images': ['3.4.0.a.1', '5.12.0.a.2', '8.2.0.a.1', '15.96.1.a.1', '24.8.0.a.1', '40.24.1.bx.2', '120.192.9.?', '340.24.0.?', '680.48.1.?', '1020.192.1.?', '2040.384.9.?'], 'nonmax_primes': [2, 3, 5], 'nonmax_rad': 30, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 7225], [5, 2, 4624], [17, 146, 400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.71327275595452681192312253925', 'prec': 107}, 'szpiro_ratio': 5.239775380606433, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 756002
    {'Ciso': '115600bq', 'Clabel': '115600bq3', 'Cnumber': 3, 'abc_quality': 1.0904350906962674, 'absD': 1931005520000000000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 2040, 'ainvs': [0, -1, 0, -60208, 67118912], 'analytic_rank': 0, 'bad_primes': [2, 5, 17], 'class_deg': 15, 'class_size': 4, 'cm': 0, 'conductor': 115600, 'degree': 1209600, 'elladic_images': ['8.2.0.1', '3.4.0.1', '5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1883732126612220040885537170', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 5, 'iso_nlabel': 23, 'isogeny_degrees': [1, 3, 5, 15], 'jinv': [-25, 2], 'lmfdb_iso': '115600.x', 'lmfdb_label': '115600.x2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1, -2], 'min_quad_twist_disc': -340, 'modell_images': ['3B', '5B.4.2'], 'modm_images': ['3.4.0.a.1', '5.12.0.a.2', '8.2.0.a.1', '15.96.1.a.2', '24.8.0.a.1', '40.24.1.bx.2', '120.192.9.?', '340.24.0.?', '680.48.1.?', '1020.192.1.?', '2040.384.9.?'], 'nonmax_primes': [2, 3, 5], 'nonmax_rad': 30, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 7225], [5, 2, 4624], [17, 146, 400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2625789002885816576207451577', 'prec': 103}, 'szpiro_ratio': 4.251755248278565, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 756000
    {'Ciso': '115600bq', 'Clabel': '115600bq1', 'Cnumber': 1, 'abc_quality': 0.9433414068835279, 'absD': 79093986099200, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 2040, 'ainvs': [0, -1, 0, -13968, -761408], 'analytic_rank': 0, 'bad_primes': [2, 5, 17], 'class_deg': 15, 'class_size': 4, 'cm': 0, 'conductor': 115600, 'degree': 241920, 'elladic_images': ['8.2.0.1', '3.4.0.1', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3836542564441718167881740504', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 3, 5, 15], 'jinv': [-121945, 32], 'lmfdb_iso': '115600.x', 'lmfdb_label': '115600.x3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -3, 1], 'min_quad_twist_disc': -68, 'modell_images': ['3B', '5B.4.1'], 'modm_images': ['3.4.0.a.1', '5.12.0.a.1', '8.2.0.a.1', '15.96.1.a.4', '24.8.0.a.1', '40.24.1.bx.1', '120.192.9.?', '340.24.0.?', '680.48.1.?', '1020.192.1.?', '2040.384.9.?'], 'nonmax_primes': [2, 3, 5], 'nonmax_rad': 30, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 7225], [5, 10, 4624], [17, 146, 400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.99433924821623159518728526887', 'prec': 107}, 'szpiro_ratio': 3.4844370138371414, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 756001
    {'Ciso': '115600bq', 'Clabel': '115600bq2', 'Cnumber': 2, 'abc_quality': 1.0629647337743247, 'absD': 80992241765580800, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 2040, 'ainvs': [0, -1, 0, 101632, 5619712], 'analytic_rank': 0, 'bad_primes': [2, 5, 17], 'class_deg': 15, 'class_size': 4, 'cm': 0, 'conductor': 115600, 'degree': 725760, 'elladic_images': ['8.2.0.1', '3.4.0.1', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9329604007782266624857966689', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 23, 'isogeny_degrees': [1, 3, 5, 15], 'jinv': [46969655, 32768], 'lmfdb_iso': '115600.x', 'lmfdb_label': '115600.x4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 22, -9], 'min_quad_twist_disc': -68, 'modell_images': ['3B', '5B.4.1'], 'modm_images': ['3.4.0.a.1', '5.12.0.a.1', '8.2.0.a.1', '15.96.1.a.3', '24.8.0.a.1', '40.24.1.bx.1', '120.192.9.?', '340.24.0.?', '680.48.1.?', '1020.192.1.?', '2040.384.9.?'], 'nonmax_primes': [2, 3, 5], 'nonmax_rad': 30, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 7225], [5, 10, 4624], [17, 146, 400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.44503310388217674948966265037', 'prec': 107}, 'szpiro_ratio': 3.963061023352705, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}