Elliptic curve isogeny class data - 102.c

Formats: - HTML - YAML - JSON - 2024-09-20T16:02:35.936562

• 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, -2, 1, 0, 1, 1, -2, -4, 1, -2, 0, -2, 1, 1, 1, 4, -2], 'aplist': [1, 1, -2, 0, -4, -2, 1, 4, 0, -10, 8, -2, 10, 12, 0, 6, 12, -10, -12, 0, 10, -8, 4, -6, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 102, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '102.c', 'trace_hash': 2057986112349787613}
• lmfdb_iso 102.c 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: 313
    {'Ciso': '102b', 'Clabel': '102b5', 'Cnumber': 5, 'abc_quality': 1.0608330168932623, 'absD': 5202, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 272, 'ainvs': [1, 0, 0, -27744, -1781010], 'analytic_rank': 0, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 102, 'degree': 128, 'elladic_images': ['16.96.0.136'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.84707828564147225423782705668', 'prec': 103}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [2361739090258884097, 5202], 'lmfdb_iso': '102.c', 'lmfdb_label': '102.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -27744, -1781010], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.48.0-8.r.1.6', '16.96.0-16.l.2.3', '136.96.0.?', '272.192.1.?'], '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': True, 'serre_invariants': [[2, 4, 1], [3, 4, 34], [17, 18, 6]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.84707828564147225423782705668', 'prec': 103}, 'szpiro_ratio': 9.14728186135235, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 311
    {'Ciso': '102b', 'Clabel': '102b3', 'Cnumber': 3, 'abc_quality': 1.0315574162602832, 'absD': 27060804, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 136, 'ainvs': [1, 0, 0, -1734, -27936], 'analytic_rank': 0, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 102, 'degree': 64, 'elladic_images': ['8.96.0.48'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.50050469536149959952921099595', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [576615941610337, 27060804], 'lmfdb_iso': '102.c', 'lmfdb_label': '102.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1734, -27936], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.1', '8.96.0-8.e.1.1', '136.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 34], [17, 18, 6]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.50050469536149959952921099595', 'prec': 103}, 'szpiro_ratio': 7.34884266794691, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 314
    {'Ciso': '102b', 'Clabel': '102b6', 'Cnumber': 6, 'abc_quality': 1.036242441540377, 'absD': 125563633938, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 272, 'ainvs': [1, 0, 0, -1644, -30942], 'analytic_rank': 0, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 102, 'degree': 128, 'elladic_images': ['8.96.0.165'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.84707828564147225423782705668', 'prec': 103}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-491411892194497, 125563633938], 'lmfdb_iso': '102.c', 'lmfdb_label': '102.c3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1644, -30942], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.96.0-8.m.2.4', '272.192.1.?'], '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': True, 'serre_invariants': [[2, 4, 1], [3, 4, 34], [17, 18, 6]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.84707828564147225423782705668', 'prec': 103}, 'szpiro_ratio': 7.393342929745696, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 310
    {'Ciso': '102b', 'Clabel': '102b2', 'Cnumber': 2, 'abc_quality': 1.07570813760169, 'absD': 30338064, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 136, 'ainvs': [1, 0, 0, -114, -396], 'analytic_rank': 0, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 102, 'degree': 32, 'elladic_images': ['8.96.0.38'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.15393110508152694482059493523', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [163936758817, 30338064], 'lmfdb_iso': '102.c', 'lmfdb_label': '102.c4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -114, -396], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.3', '8.96.0-8.h.2.2', '68.48.0-68.c.1.1', '136.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 34], [17, 18, 6]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.15393110508152694482059493523', 'prec': 103}, 'szpiro_ratio': 5.583329376393585, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4]}
  • id: 309
    {'Ciso': '102b', 'Clabel': '102b1', 'Cnumber': 1, 'abc_quality': 1.051915192059638, 'absD': 352512, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 272, 'ainvs': [1, 0, 0, -34, 68], 'analytic_rank': 0, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 102, 'degree': 16, 'elladic_images': ['16.96.0.97'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.19264248519844570988802112550', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [4354703137, 352512], 'lmfdb_iso': '102.c', 'lmfdb_label': '102.c5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -34, 68], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.48.0-8.bb.1.1', '16.96.0-16.bb.1.1', '34.6.0.a.1', '68.24.0-68.g.1.2', '136.96.0.?', '272.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 17], [3, 4, 34], [17, 18, 6]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.19264248519844570988802112550', 'prec': 107}, 'szpiro_ratio': 4.7988438364788335, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [8]}
  • id: 312
    {'Ciso': '102b', 'Clabel': '102b4', 'Cnumber': 4, 'abc_quality': 1.0301007930420596, 'absD': 2927177028, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 272, 'ainvs': [1, 0, 0, 226, -2232], 'analytic_rank': 0, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 102, 'degree': 64, 'elladic_images': ['16.96.0.99'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.50050469536149959952921099595', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1276229915423, 2927177028], 'lmfdb_iso': '102.c', 'lmfdb_label': '102.c6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 226, -2232], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.48.0-8.ba.2.2', '16.96.0-16.y.2.2', '68.24.0-68.h.1.2', '136.96.0.?', '272.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 17], [3, 4, 34], [17, 18, 6]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.50050469536149959952921099595', 'prec': 103}, 'szpiro_ratio': 6.261930020430457, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}