Elliptic curve isogeny class data - 37440.dc

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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, 1, 0, -4, 0, 0, 0, 0, 0, -1, 0, 0, 0, -6, 0, 4, 0], 'aplist': [0, 0, 1, -4, 0, -1, -6, 4, 6, 6, -10, 10, -6, 4, 12, -12, 12, 10, -14, 0, -16, 8, -12, 6, 8], 'class_deg': 6, 'class_size': 4, 'conductor': 37440, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '37440.dc', 'trace_hash': 1206017816125438692}
• lmfdb_iso 37440.dc 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: 249280
    {'Ciso': '37440s', 'Clabel': '37440s4', 'Cnumber': 4, 'abc_quality': 1.0039069659549966, 'absD': 218000719872000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1560, 'ainvs': [0, 0, 0, -2303532, -1345672656], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 37440, 'degree': 663552, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1535282632507643044242288555', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 80, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [261984288445803, 42250], 'lmfdb_iso': '37440.dc', 'lmfdb_label': '37440.dc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -3999, 98343], 'min_quad_twist_disc': -24, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.3', '60.24.0-6.a.1.1', '120.48.0.?', '156.24.0.?', '312.48.0.?', '520.6.0.?', '780.48.0.?', '1560.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 15], [3, 2, 832], [5, 6, 7488], [13, 14, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.28984827590976407175194674562', 'prec': 103}, 'szpiro_ratio': 5.276434380762599, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 249279
    {'Ciso': '37440s', 'Clabel': '37440s3', 'Cnumber': 3, 'abc_quality': 0.9448580008291952, 'absD': 4192321536000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1560, 'ainvs': [0, 0, 0, -143532, -21160656], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 37440, 'degree': 331776, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8069546729707916497156127948', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 80, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-63378025803, 812500], 'lmfdb_iso': '37440.dc', 'lmfdb_label': '37440.dc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -249, 1593], 'min_quad_twist_disc': -24, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.3', '60.24.0-6.a.1.12', '78.24.0.?', '120.48.0.?', '312.48.0.?', '520.6.0.?', '780.48.0.?', '1560.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 39], [3, 2, 832], [5, 6, 7488], [13, 14, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.056725314370208582956669315080', 'prec': 110}, 'szpiro_ratio': 4.487771389837404, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 249278
    {'Ciso': '37440s', 'Clabel': '37440s2', 'Cnumber': 2, 'abc_quality': 0.9830620236547647, 'absD': 1366544539975680, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1560, 'ainvs': [0, 0, 0, -32172, -1330384], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 37440, 'degree': 221184, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6042221189167094587266062371', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 80, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [520300455507, 193072360], 'lmfdb_iso': '37440.dc', 'lmfdb_label': '37440.dc3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -4524, 71288], 'min_quad_twist_disc': -24, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.11', '60.24.0-6.a.1.3', '120.48.0.?', '156.24.0.?', '312.48.0.?', '520.6.0.?', '780.48.0.?', '1560.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 15], [3, 6, 320], [5, 6, 7488], [13, 14, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.28984827590976407175194674568', 'prec': 103}, 'szpiro_ratio': 4.059653290616432, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 249277
    {'Ciso': '37440s', 'Clabel': '37440s1', 'Cnumber': 1, 'abc_quality': 0.949724584751915, 'absD': 24880191897600, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1560, 'ainvs': [0, 0, 0, 6228, -147664], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 37440, 'degree': 110592, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2576485286367368040179901764', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 80, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [3774555693, 3515200], 'lmfdb_iso': '37440.dc', 'lmfdb_label': '37440.dc4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 876, 7568], 'min_quad_twist_disc': -24, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.11', '60.24.0-6.a.1.8', '78.24.0.?', '120.48.0.?', '312.48.0.?', '520.6.0.?', '780.48.0.?', '1560.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 39], [3, 6, 320], [5, 6, 7488], [13, 14, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.056725314370208582956669315017', 'prec': 110}, 'szpiro_ratio': 3.5918572565573283, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}