Elliptic curve isogeny class data - 279864.bx

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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, 0, 0, 2, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, 0, 2, 4, -4, 0, 2, 0, -1, 2, 0, 10, -6, 8, -8, 6, -4, 14, -8, -8, 6, 12, -12, -2, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 279864, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '279864.bx', 'trace_hash': 2143169503052132044}
• lmfdb_iso 279864.bx 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: 1768303
    {'Ciso': '279864bx', 'Clabel': '279864bx4', 'Cnumber': 4, 'abc_quality': 0.9626262468353085, 'absD': 27224675190982683648, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 7176, 'ainvs': [0, 0, 0, -1144299, -398698378], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 279864, 'degree': 7077888, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4508518569136811681410030545', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 49, 'isogeny_degrees': [1, 2, 4], 'jinv': [45989074372, 7555707], 'lmfdb_iso': '279864.bx', 'lmfdb_label': '279864.bx1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -752, 6972], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0.h.1', '52.12.0-4.c.1.1', '156.24.0.?', '184.12.0.?', '552.24.0.?', '2392.24.0.?', '7176.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.6716794496792846147987528814', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1521], [3, 2, 31096], [13, 86, 1656], [23, 24, 12168]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.041448383382236863235609947375', 'prec': 107}, 'szpiro_ratio': 4.262817704921533, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1768301
    {'Ciso': '279864bx', 'Clabel': '279864bx2', 'Cnumber': 2, 'abc_quality': 1.111576621893251, 'absD': 347384796860365056, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3588, 'ainvs': [0, 0, 0, -322959, 64701650], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 279864, 'degree': 3538944, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1042782666337085134323869937', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 49, 'isogeny_degrees': [1, 2], 'jinv': [4135597648, 385641], 'lmfdb_iso': '279864.bx', 'lmfdb_label': '279864.bx2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -212, -1020], 'min_quad_twist_disc': -39, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0.a.1', '52.12.0-2.a.1.1', '92.12.0.?', '156.24.0.?', '276.24.0.?', '1196.24.0.?', '3588.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.8358397248396423073993764407', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1521], [3, 2, 31096], [13, 86, 1656], [23, 24, 12168]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.18960067680441157323680075985', 'prec': 107}, 'szpiro_ratio': 3.9602305181887467, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1768300
    {'Ciso': '279864bx', 'Clabel': '279864bx1', 'Cnumber': 1, 'abc_quality': 1.0662343776302834, 'absD': 34962238009296, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 7176, 'ainvs': [0, 0, 0, -315354, 68161925], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 279864, 'degree': 1769472, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7577046763537358587237709330', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 49, 'isogeny_degrees': [1, 2, 4], 'jinv': [61604313088, 621], 'lmfdb_iso': '279864.bx', 'lmfdb_label': '279864.bx3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -207, -1080], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.ba.1', '52.12.0-4.c.1.2', '138.6.0.?', '184.12.0.?', '276.12.0.?', '312.24.0.?', '552.24.0.?', '2392.24.0.?', '3588.24.0.?', '7176.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4179198624198211536996882203', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 34983], [3, 2, 31096], [13, 86, 1656], [23, 24, 12168]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.30512520689773579147300611340', 'prec': 107}, 'szpiro_ratio': 3.9545306017543953, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1768302
    {'Ciso': '279864bx', 'Clabel': '279864bx3', 'Cnumber': 3, 'abc_quality': 0.9866077545749458, 'absD': 44042350767166282752, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 7176, 'ainvs': [0, 0, 0, 376701, 306644078], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 279864, 'degree': 7077888, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4508518569136811681410030545', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 49, 'isogeny_degrees': [1, 2, 4], 'jinv': [1640689628, 12223143], 'lmfdb_iso': '279864.bx', 'lmfdb_label': '279864.bx4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 248, -5252], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.ba.1', '46.6.0.a.1', '92.12.0.?', '104.12.0.?', '156.12.0.?', '312.24.0.?', '552.24.0.?', '2392.24.0.?', '3588.24.0.?', '7176.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.6716794496792846147987528814', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 34983], [3, 2, 31096], [13, 86, 1656], [23, 24, 12168]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.041448383382236863235609947375', 'prec': 107}, 'szpiro_ratio': 4.194330602678985, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}