Elliptic curve isogeny class data - 130050.y

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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, 0, 0, -2, -1, 0, 0, 0, 0, 6, 2, 0, 1, 0, 0, 0, 0], 'aplist': [-1, 0, 0, -2, 0, 6, 0, 0, -6, 6, -10, 2, 0, 4, 8, 6, 0, -10, -8, 10, -16, 6, 16, -10, 12], 'class_deg': 10, 'class_size': 4, 'conductor': 130050, 'isogeny_matrix': [[1, 2, 5, 10], [2, 1, 10, 5], [5, 10, 1, 2], [10, 5, 2, 1]], 'lmfdb_iso': '130050.y', 'trace_hash': 1350283854679090636}
• lmfdb_iso 130050.y 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: 847949
    {'Ciso': '130050eu', 'Clabel': '130050eu4', 'Cnumber': 4, 'abc_quality': 1.1351785891094697, 'absD': 390255837955636781250, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 2040, 'ainvs': [1, -1, 0, -4746267, 3865968891], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 130050, 'degree': 6553600, 'elladic_images': ['8.6.0.2', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7242856997836754544145465932', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 10, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [211293405175481, 6973568802], 'lmfdb_iso': '130050.y', 'lmfdb_label': '130050.y1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -21094, -1153910], 'min_quad_twist_disc': -15, 'modell_images': ['2B', '5B'], 'modm_images': ['2.3.0.a.1', '5.6.0.a.1', '8.6.0.f.1', '10.18.0.a.1', '20.36.0.b.2', '40.72.1.co.2', '68.6.0.c.1', '85.12.0.?', '136.12.0.?', '170.36.0.?', '255.24.0.?', '340.72.1.?', '510.72.0.?', '680.144.5.?', '1020.144.1.?', '2040.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 3825], [3, 8, 14450], [5, 14, 5202], [17, 82, 450]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.66195726321851640135416065366', 'prec': 103}, 'szpiro_ratio': 4.902667035458826, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 847948
    {'Ciso': '130050eu', 'Clabel': '130050eu3', 'Cnumber': 3, 'abc_quality': 1.0744894925088866, 'absD': 13218033767062500, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 2040, 'ainvs': [1, -1, 0, -4708017, 3933097641], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 130050, 'degree': 3276800, 'elladic_images': ['8.6.0.2', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3777121095037027997059305325', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 5, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [206226044828441, 236196], 'lmfdb_iso': '130050.y', 'lmfdb_label': '130050.y2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -20924, -1173732], 'min_quad_twist_disc': -15, 'modell_images': ['2B', '5B'], 'modm_images': ['2.3.0.a.1', '5.6.0.a.1', '8.6.0.f.1', '10.36.0.b.1', '34.6.0.a.1', '40.72.1.cs.1', '85.12.0.?', '136.12.0.?', '170.72.1.?', '255.24.0.?', '510.144.1.?', '680.144.5.?', '2040.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 3825], [3, 8, 14450], [5, 14, 5202], [17, 82, 450]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.31538367293854374664554459296', 'prec': 103}, 'szpiro_ratio': 4.900605595860844, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 847947
    {'Ciso': '130050eu', 'Clabel': '130050eu2', 'Cnumber': 2, 'abc_quality': 1.2005602470911492, 'absD': 145053868500000, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 2040, 'ainvs': [1, -1, 0, -653517, -203180859], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 130050, 'degree': 1310720, 'elladic_images': ['8.6.0.2', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9195667435666252671141669266', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [551569744601, 2592], 'lmfdb_iso': '130050.y', 'lmfdb_label': '130050.y3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -2904, 59040], 'min_quad_twist_disc': -15, 'modell_images': ['2B', '5B'], 'modm_images': ['2.3.0.a.1', '5.6.0.a.1', '8.6.0.f.1', '10.18.0.a.1', '20.36.0.b.1', '40.72.1.co.1', '68.6.0.c.1', '85.12.0.?', '136.12.0.?', '170.36.0.?', '255.24.0.?', '340.72.1.?', '510.72.0.?', '680.144.5.?', '1020.144.1.?', '2040.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 3825], [3, 8, 14450], [5, 14, 2601], [17, 82, 450]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.14276169299853378594621901294', 'prec': 107}, 'szpiro_ratio': 4.397538024464683, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 847946
    {'Ciso': '130050eu', 'Clabel': '130050eu1', 'Cnumber': 1, 'abc_quality': 0.9988952346145322, 'absD': 515747088000000, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 2040, 'ainvs': [1, -1, 0, -41517, -3056859], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 130050, 'degree': 655360, 'elladic_images': ['8.6.0.2', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5729931532866526124055508658', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [141420761, 9216], 'lmfdb_iso': '130050.y', 'lmfdb_label': '130050.y4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -184, 832], 'min_quad_twist_disc': -15, 'modell_images': ['2B', '5B'], 'modm_images': ['2.3.0.a.1', '5.6.0.a.1', '8.6.0.f.1', '10.36.0.b.2', '34.6.0.a.1', '40.72.1.cs.2', '85.12.0.?', '136.12.0.?', '170.72.1.?', '255.24.0.?', '510.144.1.?', '680.144.5.?', '2040.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 3825], [3, 8, 14450], [5, 14, 2601], [17, 82, 450]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.48933528327850644065483507374', 'prec': 107}, 'szpiro_ratio': 3.6953460466941004, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}