Elliptic curve isogeny class data - 4950.ba

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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, 1, 0, 1, 0, 0, -3, 1, 0, 0, -1, 0, -4, -3, 0, 1, 3, 0, -5, 0], 'aplist': [1, 0, 0, -3, -1, -4, 3, -5, 4, -5, 7, 7, 8, 6, 8, 9, 0, -13, 12, 3, 6, 0, 4, 15, 12], 'class_deg': 25, 'class_size': 3, 'conductor': 4950, 'isogeny_matrix': [[1, 25, 5], [25, 1, 5], [5, 5, 1]], 'lmfdb_iso': '4950.ba', 'trace_hash': 302724931283485929}
• lmfdb_iso 4950.ba 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: 30804
    {'Ciso': '4950bq', 'Clabel': '4950bq3', 'Cnumber': 3, 'abc_quality': 1.0355690721710038, 'absD': 525533184000000000, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 6600, 'ainvs': [1, -1, 1, -6823805, -6859391803], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 4950, 'degree': 180000, 'elladic_images': ['25.60.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5371531615529694740946193265', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 25, 'iso_nlabel': 26, 'isogeny_degrees': [1, 5, 25], 'jinv': [-24680042791780949, 369098752], 'lmfdb_iso': '4950.ba', 'lmfdb_label': '4950.ba1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -30328, 2020281], 'min_quad_twist_disc': -15, 'modell_images': ['5B.4.1'], 'modm_images': ['5.12.0.a.1', '15.24.0-5.a.1.2', '25.60.0.a.1', '75.120.0.?', '275.300.12.?', '440.24.1.?', '825.600.12.?', '1320.48.1.?', '2200.600.37.?', '6600.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 495], [3, 6, 550], [5, 14, 99], [11, 12, 450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.78076858289333934744642720812', 'prec': 103}, 'szpiro_ratio': 6.914355749390051, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 30802
    {'Ciso': '4950bq', 'Clabel': '4950bq1', 'Cnumber': 1, 'abc_quality': 1.0648872065191846, 'absD': 31324218750, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 6600, 'ainvs': [1, -1, 1, -6305, 194447], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 4950, 'degree': 7200, 'elladic_images': ['25.60.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.92771524911886909949385999324', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 26, 'isogeny_degrees': [1, 5, 25], 'jinv': [-19465109, 22], 'lmfdb_iso': '4950.ba', 'lmfdb_label': '4950.ba2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -28, -69], 'min_quad_twist_disc': -15, 'modell_images': ['5B.4.2'], 'modm_images': ['5.12.0.a.2', '15.24.0-5.a.2.2', '25.60.0.a.2', '75.120.0.?', '275.300.12.?', '440.24.1.?', '825.600.12.?', '1320.48.1.?', '2200.600.37.?', '6600.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 495], [3, 6, 550], [5, 14, 198], [11, 12, 450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.82866932954076102715433212514', 'prec': 107}, 'szpiro_ratio': 4.450695239737518, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 30803
    {'Ciso': '4950bq', 'Clabel': '4950bq2', 'Cnumber': 2, 'abc_quality': 1.0570897476931809, 'absD': 7337886187500000, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 6600, 'ainvs': [1, -1, 1, 44320, -2033053], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 4950, 'degree': 36000, 'elladic_images': ['5.60.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7324342053359192867942396599', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 26, 'isogeny_degrees': [1, 5], 'jinv': [6761990971, 5153632], 'lmfdb_iso': '4950.ba', 'lmfdb_label': '4950.ba3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 197, 681], 'min_quad_twist_disc': -15, 'modell_images': ['5Cs.4.1'], 'modm_images': ['5.60.0.a.1', '15.120.0-5.a.1.2', '275.300.12.?', '440.120.5.?', '825.600.12.?', '1320.240.5.?', '2200.600.37.?', '6600.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 495], [3, 6, 550], [5, 14, 9], [11, 12, 450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.023950373323710839853952458481', 'prec': 110}, 'szpiro_ratio': 5.138176105895368, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}