Elliptic curve isogeny class data - 2670.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, -1, 1, 1, -1, 4, 1, 1, 1, 4, -1, 2, 4, -1, 1, 2, 1, 4, 1], 'aplist': [1, -1, 1, 4, 4, 2, 2, 4, -4, -6, -4, 2, 2, -4, 0, -2, -12, -6, -4, -8, -6, 8, 4, 1, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 2670, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '2670.d', 'trace_hash': 1938414989339562678}
• lmfdb_iso 2670.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
  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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 15663
    {'Ciso': '2670d', 'Clabel': '2670d3', 'Cnumber': 3, 'abc_quality': 1.0037659369497192, 'absD': 40050, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 712, 'ainvs': [1, 1, 1, -213600, -38086065], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 89], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2670, 'degree': 8192, 'elladic_images': ['8.24.0.102'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3002584322466332546836810283', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [1077773706461706278401, 40050], 'lmfdb_iso': '2670.d', 'lmfdb_label': '2670.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -213600, -38086065], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.m.1.5', '356.12.0.?', '712.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3002584322466332546836810283', 'prec': 100}, 'szpiro_ratio': 6.1381755318954285, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 15662
    {'Ciso': '2670d', 'Clabel': '2670d2', 'Cnumber': 2, 'abc_quality': 0.9708444438813949, 'absD': 1604002500, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 712, 'ainvs': [1, 1, 1, -13350, -599265], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 89], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2670, 'degree': 4096, 'elladic_images': ['8.24.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.95368484196666059997506496754', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [263129501187842401, 1604002500], 'lmfdb_iso': '2670.d', 'lmfdb_label': '2670.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -13350, -599265], '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.b.1.2', '356.24.0.?', '712.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.95368484196666059997506496754', 'prec': 103}, 'szpiro_ratio': 5.083937630341658, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 15664
    {'Ciso': '2670d', 'Clabel': '2670d4', 'Cnumber': 4, 'abc_quality': 0.9722467807451477, 'absD': 20582592160050, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 712, 'ainvs': [1, 1, 1, -13100, -622465], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 89], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2670, 'degree': 8192, 'elladic_images': ['8.24.0.59'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3002584322466332546836810283', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [-248622066042206401, 20582592160050], 'lmfdb_iso': '2670.d', 'lmfdb_label': '2670.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -13100, -622465], '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.d.1.1', '712.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3002584322466332546836810283', 'prec': 100}, 'szpiro_ratio': 5.093696067053815, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 15661
    {'Ciso': '2670d', 'Clabel': '2670d1', 'Cnumber': 1, 'abc_quality': 0.9268546290208253, 'absD': 5006250000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 712, 'ainvs': [1, 1, 1, -850, -9265], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 89], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2670, 'degree': 2048, 'elladic_images': ['8.24.0.53'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.60711125168668794526644890681', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [67922306042401, 5006250000], 'lmfdb_iso': '2670.d', 'lmfdb_label': '2670.d4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -850, -9265], '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.m.1.1', '178.6.0.?', '356.24.0.?', '712.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.60711125168668794526644890681', 'prec': 103}, 'szpiro_ratio': 4.0367625748842935, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}