Elliptic curve isogeny class data - 481650.hr

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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, 0, 1, 0, 1, 1, 0, -4, 1, 0, 0, 0, 1, -2, 1, 1, 0], 'aplist': [1, 1, 0, 0, -4, 0, -2, 1, -4, 6, -4, -6, -10, 4, -12, -6, 12, -2, 4, -8, -6, -4, -12, -10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 481650, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '481650.hr', 'trace_hash': 2053961043415483791}
• lmfdb_iso 481650.hr 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: 2957078
    {'Ciso': '481650hr', 'Clabel': '481650hr4', 'Cnumber': 4, 'abc_quality': 0.962838731498289, 'absD': 3358497473144531250, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 29640, 'ainvs': [1, 0, 0, -2623813, -1633705633], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 481650, 'degree': 14155776, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4501111841993724901875608467', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 199, 'isogeny_degrees': [1, 2, 4], 'jinv': [26487576322129, 44531250], 'lmfdb_iso': '481650.hr', 'lmfdb_label': '481650.hr1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -621, -6207], 'min_quad_twist_disc': 65, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '456.24.0.?', '520.24.0.?', '14820.12.0.?', '29640.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 240825], [3, 4, 160550], [5, 18, 19266], [13, 86, 2850], [19, 20, 25350]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.36291754925155393486043745931', 'prec': 103}, 'szpiro_ratio': 4.276204512676657, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2957076
    {'Ciso': '481650hr', 'Clabel': '481650hr2', 'Cnumber': 2, 'abc_quality': 0.9634984608386168, 'absD': 612589939101562500, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 29640, 'ainvs': [1, 0, 0, -215563, -8136883], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 481650, 'degree': 7077888, 'elladic_images': ['8.12.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1035375939193998354789447860', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 199, 'isogeny_degrees': [1, 2], 'jinv': [14688124849, 8122500], 'lmfdb_iso': '481650.hr', 'lmfdb_label': '481650.hr2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -51, -51], 'min_quad_twist_disc': 65, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.b.1', '228.12.0.?', '260.12.0.?', '456.24.0.?', '520.24.0.?', '14820.24.0.?', '29640.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 4225], [3, 4, 160550], [5, 18, 19266], [13, 86, 2850], [19, 20, 25350]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.016343958971581280151821398605', 'prec': 107}, 'szpiro_ratio': 3.703227269477828, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2957075
    {'Ciso': '481650hr', 'Clabel': '481650hr1', 'Cnumber': 1, 'abc_quality': 0.8908034309086049, 'absD': 1719550706250000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 29640, 'ainvs': [1, 0, 0, -131063, 18142617], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 481650, 'degree': 3538944, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7569640036394271807703287253', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 199, 'isogeny_degrees': [1, 2, 4], 'jinv': [3301293169, 22800], 'lmfdb_iso': '481650.hr', 'lmfdb_label': '481650.hr3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -31, 53], 'min_quad_twist_disc': 65, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '114.6.0.?', '228.12.0.?', '260.12.0.?', '456.24.0.?', '520.24.0.?', '14820.24.0.?', '29640.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 240825], [3, 4, 160550], [5, 18, 19266], [13, 86, 2850], [19, 20, 25350]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33022963130839137455679466210', 'prec': 107}, 'szpiro_ratio': 3.589147930211921, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2957077
    {'Ciso': '481650hr', 'Clabel': '481650hr3', 'Cnumber': 3, 'abc_quality': 0.9932614972488036, 'absD': 39806094242819531250, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 29640, 'ainvs': [1, 0, 0, 840687, -64118133], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 481650, 'degree': 14155776, 'elladic_images': ['8.12.0.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4501111841993724901875608467', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 199, 'isogeny_degrees': [1, 2, 4], 'jinv': [871257511151, 527800050], 'lmfdb_iso': '481650.hr', 'lmfdb_label': '481650.hr4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 199, -151], 'min_quad_twist_disc': 65, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.d.1', '260.12.0.?', '456.24.0.?', '520.24.0.?', '29640.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 4225], [3, 4, 160550], [5, 18, 19266], [13, 86, 2850], [19, 20, 25350]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.36291754925155393486043745931', 'prec': 103}, 'szpiro_ratio': 4.015256820699225, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}