Elliptic curve isogeny class data - 174902.m

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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, 2, 0, -1, 1, -3, 2, -4, 0, 1, -1, 0, 1, 6, -3, 0, 2], 'aplist': [1, 0, 2, -1, -4, 1, 6, 0, -8, 10, 0, -6, -6, -4, -8, -6, 8, -10, 4, -8, -2, -8, 0, -18, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 174902, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '174902.m', 'trace_hash': 1310293020847426807}
• lmfdb_iso 174902.m 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: 1128007
    {'Ciso': '174902d', 'Clabel': '174902d4', 'Cnumber': 4, 'abc_quality': 1.087583326356874, 'absD': 7946229057092909194976, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1736, 'ainvs': [1, -1, 1, -56827474, -164816710287], 'analytic_rank': 0, 'bad_primes': [2, 7, 13, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 174902, 'degree': 20736000, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1670003693754600969270240755', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 4], 'jinv': [22868021811807457713, 8953460393696], 'lmfdb_iso': '174902.m', 'lmfdb_label': '174902.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -59134, 5547693], 'min_quad_twist_disc': -31, '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', '248.24.0.?', '868.12.0.?', '1736.48.0.?'], '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': False, 'serre_invariants': [[2, 4, 6727], [3, 2, 24986], [5, 2, 87451], [7, 8, 24986], [13, 14, 13454], [31, 482, 182]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4500067671328869739624419132', 'prec': 100}, 'szpiro_ratio': 5.3992955994075755, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1128006
    {'Ciso': '174902d', 'Clabel': '174902d3', 'Cnumber': 3, 'abc_quality': 1.0514529035811697, 'absD': 66432917586320034652448, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1736, 'ainvs': [1, -1, 1, -30073234, 62261716081], 'analytic_rank': 0, 'bad_primes': [2, 7, 13, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 174902, 'degree': 20736000, 'elladic_images': ['8.12.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1670003693754600969270240755', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 4], 'jinv': [3389174547561866673, 74853681183008], 'lmfdb_iso': '174902.m', 'lmfdb_label': '174902.m2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -31294, -2081875], 'min_quad_twist_disc': -31, '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', '124.12.0.?', '248.24.0.?', '1736.48.0.?'], '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': False, 'serre_invariants': [[2, 4, 961], [3, 2, 24986], [5, 2, 87451], [7, 8, 24986], [13, 14, 13454], [31, 482, 182]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4500067671328869739624419132', 'prec': 100}, 'szpiro_ratio': 5.24114814236823, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1128005
    {'Ciso': '174902d', 'Clabel': '174902d2', 'Cnumber': 2, 'abc_quality': 1.0847233207390155, 'absD': 3053737968931471983616, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1736, 'ainvs': [1, -1, 1, -4087794, -1745619727], 'analytic_rank': 0, 'bad_primes': [2, 7, 13, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 174902, 'degree': 10368000, 'elladic_images': ['8.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8204267790954874422184080148', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2], 'jinv': [8511781274893233, 3440817243136], 'lmfdb_iso': '174902.m', 'lmfdb_label': '174902.m3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -4254, 59693], 'min_quad_twist_disc': -31, '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', '124.12.0.?', '248.24.0.?', '868.24.0.?', '1736.48.0.?'], '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': False, 'serre_invariants': [[2, 4, 961], [3, 2, 24986], [5, 2, 87451], [7, 8, 24986], [13, 14, 13454], [31, 482, 182]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1034331768529143192538258525', 'prec': 100}, 'szpiro_ratio': 4.74521542091873, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1128004
    {'Ciso': '174902d', 'Clabel': '174902d1', 'Cnumber': 1, 'abc_quality': 1.0313104102158892, 'absD': 53944963171905175552, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1736, 'ainvs': [1, -1, 1, 832526, -198671119], 'analytic_rank': 0, 'bad_primes': [2, 7, 13, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 174902, 'degree': 5184000, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4738531888155147875097919541', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 4], 'jinv': [71903073502287, 60782804992], 'lmfdb_iso': '174902.m', 'lmfdb_label': '174902.m4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, 866, 6445], 'min_quad_twist_disc': -31, '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', '124.12.0.?', '248.24.0.?', '868.24.0.?', '1736.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 6727], [3, 2, 24986], [5, 2, 87451], [7, 8, 24986], [13, 14, 13454], [31, 482, 182]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.75685958657294166454520979183', 'prec': 103}, 'szpiro_ratio': 4.34976355047056, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}