Elliptic curve isogeny class data - 251328.g

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• 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, -2, 0, -1, 0, 1, 0, -1, 0, 2, 0, 2, 0, 1, 0, 0, 0], 'aplist': [0, -1, -2, -1, -1, 2, 1, 0, 0, -6, 0, 10, 2, 0, 12, 10, 0, 6, 4, -8, -10, 8, 12, 2, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 251328, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '251328.g', 'trace_hash': 1778400917948583235}
• lmfdb_iso 251328.g 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 1596498
    {'Ciso': '251328g', 'Clabel': '251328g3', 'Cnumber': 3, 'abc_quality': 0.9942211246505692, 'absD': 395873510493582535163904, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4488, 'ainvs': [0, -1, 0, -23196929, 30550202529], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 251328, 'degree': 23592960, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2344302482997681623359968293', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [5265932508006615127873, 1510137598013239041], 'lmfdb_iso': '251328.g', 'lmfdb_label': '251328.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -362452, -59804284], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '136.24.0.?', '264.24.0.?', '1122.6.0.?', '2244.12.0.?', '4488.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.8829561771249201226275897965', 'prec': 100}, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1947094774598501982101486471', 'prec': 100}, 'szpiro_ratio': 5.025704563455727, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1596497
    {'Ciso': '251328g', 'Clabel': '251328g2', 'Cnumber': 2, 'abc_quality': 0.9774291690832854, 'absD': 3120469933019176894464, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4488, 'ainvs': [0, -1, 0, -8655809, -9423336351], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 251328, 'degree': 11796480, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8878566580197955076273807686', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2], 'jinv': [273594167224805799793, 11903648120953281], 'lmfdb_iso': '251328.g', 'lmfdb_label': '251328.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -135247, 18354236], 'min_quad_twist_disc': -8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '68.12.0.a.1', '132.12.0.?', '136.24.0.?', '264.24.0.?', '2244.24.0.?', '4488.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.765912354249840245255179593', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8481358871798775435015325864', 'prec': 100}, 'szpiro_ratio': 4.787869162433098, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1596496
    {'Ciso': '251328g', 'Clabel': '251328g1', 'Cnumber': 1, 'abc_quality': 0.9765119076274685, 'absD': 140516306670845952, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4488, 'ainvs': [0, -1, 0, -8563329, -9642347487], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 251328, 'degree': 5898240, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5412830677398228529187647079', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [264918160154242157473, 536027170833], 'lmfdb_iso': '251328.g', 'lmfdb_label': '251328.g3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -133802, 18782534], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '66.6.0.a.1', '132.12.0.?', '136.24.0.?', '264.24.0.?', '4488.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.8829561771249201226275897965', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5015622968999048887929165257', 'prec': 100}, 'szpiro_ratio': 4.785277592078279, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1596499
    {'Ciso': '251328g', 'Clabel': '251328g4', 'Cnumber': 4, 'abc_quality': 1.0172823894210463, 'absD': 546231622070626811117568, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4488, 'ainvs': [0, -1, 0, 4405631, -35381642207], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 251328, 'degree': 23592960, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2344302482997681623359968293', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [36075142039228937567, 2083708275110728497], 'lmfdb_iso': '251328.g', 'lmfdb_label': '251328.g4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 68838, 69130584], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '68.12.0.h.1', '136.24.0.?', '264.24.0.?', '4488.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '27.531824708499680490510359186', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1947094774598501982101486471', 'prec': 100}, 'szpiro_ratio': 4.994323036434964, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}