Elliptic curve isogeny class data - 62.a

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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, -2, 0, 0, 1, -3, -2, 0, 0, 2, 0, 0, 1, -6, -3, 4, -2], 'aplist': [1, 0, -2, 0, 0, 2, -6, 4, 8, 2, -1, 10, -6, 8, -8, -6, -12, -6, -12, 8, 10, -8, 8, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 62, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '62.a', 'trace_hash': 1208802814391652580}
• lmfdb_iso 62.a 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: 165
    {'Ciso': '62a', 'Clabel': '62a4', 'Cnumber': 4, 'abc_quality': 1.0755914478549309, 'absD': 62, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 248, 'ainvs': [1, -1, 1, -331, 2397], 'analytic_rank': 0, 'bad_primes': [2, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 62, 'degree': 8, 'elladic_images': ['8.24.0.103'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.10807768551903452703781947494', 'prec': 107}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [3999236143617, 62], 'lmfdb_iso': '62.a', 'lmfdb_label': '62.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -331, 2397], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.p.1.7', '124.12.0.?', '248.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 31], [31, 32, 2]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.10807768551903452703781947494', 'prec': 107}, 'szpiro_ratio': 7.03081649094392, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 164
    {'Ciso': '62a', 'Clabel': '62a3', 'Cnumber': 3, 'abc_quality': 1.1790775616093738, 'absD': 1847042, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 248, 'ainvs': [1, -1, 1, -31, 5], 'analytic_rank': 0, 'bad_primes': [2, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 62, 'degree': 8, 'elladic_images': ['8.24.0.58'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.10807768551903452703781947494', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [3196010817, 1847042], 'lmfdb_iso': '62.a', 'lmfdb_label': '62.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -31, 5], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.k.1.1', '248.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [31, 32, 2]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.10807768551903452703781947494', 'prec': 107}, 'szpiro_ratio': 5.302751790368169, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 163
    {'Ciso': '62a', 'Clabel': '62a2', 'Cnumber': 2, 'abc_quality': 1.0250423431234554, 'absD': 3844, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 248, 'ainvs': [1, -1, 1, -21, 41], 'analytic_rank': 0, 'bad_primes': [2, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 62, 'degree': 4, 'elladic_images': ['8.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.45465127579900718174643553567', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [979146657, 3844], 'lmfdb_iso': '62.a', 'lmfdb_label': '62.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -21, 41], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '8.24.0-8.a.1.2', '124.24.0.?', '248.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [31, 32, 2]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.45465127579900718174643553567', 'prec': 107}, 'szpiro_ratio': 5.016117737079534, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 162
    {'Ciso': '62a', 'Clabel': '62a1', 'Cnumber': 1, 'abc_quality': 0.9309010010327436, 'absD': 496, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 248, 'ainvs': [1, -1, 1, -1, 1], 'analytic_rank': 0, 'bad_primes': [2, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 62, 'degree': 2, 'elladic_images': ['8.24.0.50'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.80122486607897983645505159640', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [-35937, 496], 'lmfdb_iso': '62.a', 'lmfdb_label': '62.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -1, 1], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.p.1.1', '62.6.0.b.1', '124.24.0.?', '248.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 31], [31, 32, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.80122486607897983645505159640', 'prec': 107}, 'szpiro_ratio': 3.320068739374906, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}