Elliptic curve isogeny class data - 170352.es

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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, 2, 0, -1, 0, 0, 0, -4, 0, 0, 0, 0, 0, 6, 0, 0, 0], 'aplist': [0, 0, 2, -1, -4, 0, 6, 0, 8, 10, -8, -6, -6, -4, 8, -6, -8, 10, 4, 8, -2, -8, 0, 18, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 170352, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '170352.es', 'trace_hash': 833073738730678488}
• lmfdb_iso 170352.es 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: 1100173
    {'Ciso': '170352ch', 'Clabel': '170352ch3', 'Cnumber': 3, 'abc_quality': 1.087583326356874, 'absD': 129044205157082741680766976, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, 0, 0, -1439077419, 21005227457370], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 170352, 'degree': 92897280, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9749347707576554971040403740', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 122, 'isogeny_degrees': [1, 2, 4], 'jinv': [22868021811807457713, 8953460393696], 'lmfdb_iso': '170352.es', 'lmfdb_label': '170352.es1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -59134, 5547693], 'min_quad_twist_disc': 156, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '56.24.0.bp.1', '312.24.0.?', '1092.12.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '36.567184408838404826749345829', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 10647], [3, 6, 2704], [7, 8, 24336], [13, 98, 1008]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4500067671328869739624419133', 'prec': 100}, 'szpiro_ratio': 6.215985044853077, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1100174
    {'Ciso': '170352ch', 'Clabel': '170352ch4', 'Cnumber': 4, 'abc_quality': 1.0514529035811697, 'absD': 1078849223272826876776808448, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, 0, 0, -761563179, -7933363515558], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 170352, 'degree': 92897280, 'elladic_images': ['8.12.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9749347707576554971040403740', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 122, 'isogeny_degrees': [1, 2, 4], 'jinv': [3389174547561866673, 74853681183008], 'lmfdb_iso': '170352.es', 'lmfdb_label': '170352.es2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -31294, -2081875], 'min_quad_twist_disc': 156, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.k.1', '56.24.0.v.1', '156.12.0.?', '312.24.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '36.567184408838404826749345829', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1521], [3, 6, 2704], [7, 8, 24336], [13, 98, 1008]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4500067671328869739624419133', 'prec': 100}, 'szpiro_ratio': 6.057491520330674, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1100172
    {'Ciso': '170352ch', 'Clabel': '170352ch2', 'Cnumber': 2, 'abc_quality': 1.0847233207390155, 'absD': 49591722831978578225135616, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, 0, 0, -103517739, 222583276890], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 170352, 'degree': 46448640, 'elladic_images': ['8.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6283611804776828423954243132', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 122, 'isogeny_degrees': [1, 2], 'jinv': [8511781274893233, 3440817243136], 'lmfdb_iso': '170352.es', 'lmfdb_label': '170352.es3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -4254, 59693], 'min_quad_twist_disc': 156, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.a.1', '28.12.0.b.1', '56.24.0.d.1', '156.12.0.?', '312.24.0.?', '1092.24.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '18.283592204419202413374672914', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1521], [3, 6, 2704], [7, 8, 24336], [13, 98, 1008]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1034331768529143192538258525', 'prec': 100}, 'szpiro_ratio': 5.560473569994852, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1100171
    {'Ciso': '170352ch', 'Clabel': '170352ch1', 'Cnumber': 1, 'abc_quality': 1.0313104102158892, 'absD': 876048858487519866519552, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, 0, 0, 21082581, 25291130202], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 170352, 'degree': 23224320, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2817875901977101876868082525', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 122, 'isogeny_degrees': [1, 2, 4], 'jinv': [71903073502287, 60782804992], 'lmfdb_iso': '170352.es', 'lmfdb_label': '170352.es4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, 866, 6445], 'min_quad_twist_disc': 156, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '14.6.0.b.1', '28.12.0.g.1', '56.24.0.bn.1', '156.12.0.?', '312.24.0.?', '1092.24.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '36.567184408838404826749345829', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 10647], [3, 6, 2704], [7, 8, 24336], [13, 98, 1008]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.75685958657294166454520979180', 'prec': 103}, 'szpiro_ratio': 5.164156348715009, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}