Elliptic curve isogeny class data - 370.d

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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, -2, 1, 1, -2, 2, 1, 1, 1, 0, -2, 2, 2, -2, 1, 6, 1, 2, 1], 'aplist': [1, -2, 1, 2, 0, 2, 6, 2, 0, 6, -10, 1, -6, -4, -6, 6, -6, -10, 2, 0, 2, -10, -6, -6, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 370, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '370.d', 'trace_hash': 1162538809174549957}
• lmfdb_iso 370.d 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 1543
    {'Ciso': '370d', 'Clabel': '370d3', 'Cnumber': 3, 'abc_quality': 0.9792442637089362, 'absD': 4052240, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 4440, 'ainvs': [1, 0, 0, -5275, -147903], 'analytic_rank': 0, 'bad_primes': [2, 5, 37], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 370, 'degree': 288, 'elladic_images': ['8.12.0.21', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.64350775181995112148400110657', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 3, 'intrinsic_torsion': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [16232905099479601, 4052240], 'lmfdb_iso': '370.d', 'lmfdb_label': '370.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -5275, -147903], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '4.6.0.b.1', '6.24.0-6.a.1.2', '8.12.0-4.b.1.3', '12.48.0-12.f.1.6', '24.96.0-24.br.2.7', '370.6.0.?', '740.24.0.?', '1110.48.0.?', '1480.48.0.?', '2220.192.3.?', '4440.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 185], [3, 2, 10], [5, 6, 74], [37, 38, 10]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.64350775181995112148400110657', 'prec': 103}, 'szpiro_ratio': 6.311963775191414, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1544
    {'Ciso': '370d', 'Clabel': '370d4', 'Cnumber': 4, 'abc_quality': 0.979554104171432, 'absD': 256572640900, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 4440, 'ainvs': [1, 0, 0, -5255, -149075], 'analytic_rank': 0, 'bad_primes': [2, 5, 37], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 370, 'degree': 576, 'elladic_images': ['4.12.0.12', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.99008134209992377619261716730', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 6, 'intrinsic_torsion': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-16048965315233521, 256572640900], 'lmfdb_iso': '370.d', 'lmfdb_label': '370.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -5255, -149075], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '4.12.0-4.a.1.1', '6.24.0-6.a.1.2', '12.96.0-12.b.2.7', '740.24.0.?', '1480.48.0.?', '2220.192.3.?', '4440.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, '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, 2, 10], [5, 6, 74], [37, 38, 10]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.99008134209992377619261716730', 'prec': 103}, 'szpiro_ratio': 6.314644864377942, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1541
    {'Ciso': '370d', 'Clabel': '370d1', 'Cnumber': 1, 'abc_quality': 0.9139199638567892, 'absD': 18944000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 4440, 'ainvs': [1, 0, 0, -75, -143], 'analytic_rank': 0, 'bad_primes': [2, 5, 37], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 370, 'degree': 96, 'elladic_images': ['8.12.0.21', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.094201607485896275786378488113', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [46694890801, 18944000], 'lmfdb_iso': '370.d', 'lmfdb_label': '370.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -75, -143], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '4.6.0.b.1', '6.24.0-6.a.1.4', '8.12.0-4.b.1.3', '12.48.0-12.f.1.8', '24.96.0-24.br.1.4', '370.6.0.?', '740.24.0.?', '1110.48.0.?', '1480.48.0.?', '2220.192.3.?', '4440.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 185], [3, 2, 37], [5, 6, 74], [37, 38, 10]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.094201607485896275786378488113', 'prec': 107}, 'szpiro_ratio': 4.154373569696869, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
  • id: 1542
    {'Ciso': '370d', 'Clabel': '370d2', 'Cnumber': 2, 'abc_quality': 0.9481798185675541, 'absD': 1369000000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 4440, 'ainvs': [1, 0, 0, 245, -975], 'analytic_rank': 0, 'bad_primes': [2, 5, 37], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 370, 'degree': 192, 'elladic_images': ['4.12.0.12', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.44077519776586893049499454884', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1625964918479, 1369000000], 'lmfdb_iso': '370.d', 'lmfdb_label': '370.d4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 245, -975], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '4.12.0-4.a.1.1', '6.24.0-6.a.1.4', '12.96.0-12.b.1.3', '740.24.0.?', '1480.48.0.?', '2220.192.3.?', '4440.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 2, 37], [5, 6, 74], [37, 38, 10]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.44077519776586893049499454884', 'prec': 103}, 'szpiro_ratio': 4.7547320978211705, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}