Elliptic curve isogeny class data - 178752.s

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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, -1, 0, -2, 0, 0, 0, 1, 0, -4, 0, 2, 0, 2, 0, -2, 0, 1, 0], 'aplist': [0, -1, -2, 0, -4, 2, -2, 1, 0, -2, -4, 6, 6, 8, 8, 6, -4, -6, 12, -4, 14, 16, 8, -2, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 178752, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '178752.s', 'trace_hash': 1968041993235071274}
• lmfdb_iso 178752.s 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: 1151986
    {'Ciso': '178752df', 'Clabel': '178752df3', 'Cnumber': 3, 'abc_quality': 0.8804247694735141, 'absD': 10550471619674112, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3192, 'ainvs': [0, -1, 0, -67489, 4617985], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 178752, 'degree': 983040, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7790308350152312499370777834', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [8818423496, 2736741], 'lmfdb_iso': '178752.s', 'lmfdb_label': '178752.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -344, -1560], 'min_quad_twist_disc': -56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.1', '28.12.0-4.c.1.1', '152.12.0.?', '168.24.0.?', '456.24.0.?', '1064.24.0.?', '3192.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 147], [3, 4, 59584], [7, 32, 3648], [19, 20, 9408]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.060358215212357039387138740145', 'prec': 110}, 'szpiro_ratio': 3.7186778511630263, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1151985
    {'Ciso': '178752df', 'Clabel': '178752df2', 'Cnumber': 2, 'abc_quality': 0.8883281673443083, 'absD': 76717418287104, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3192, 'ainvs': [0, -1, 0, -26329, -1580711], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 178752, 'degree': 491520, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4324572447352585952284617227', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2], 'jinv': [4188852928, 159201], 'lmfdb_iso': '178752.s', 'lmfdb_label': '178752.s2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -134, 624], 'min_quad_twist_disc': -56, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0-2.a.1.1', '28.12.0-2.a.1.1', '152.12.0.?', '168.24.0.?', '228.12.0.?', '456.24.0.?', '1064.24.0.?', '1596.24.0.?', '3192.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 49], [3, 4, 59584], [7, 32, 3648], [19, 20, 9408]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.23364501035234336674144677048', 'prec': 107}, 'szpiro_ratio': 3.4851806616296512, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1151984
    {'Ciso': '178752df', 'Clabel': '178752df1', 'Cnumber': 1, 'abc_quality': 0.9322588274472002, 'absD': 3004284864, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3192, 'ainvs': [0, -1, 0, -26084, -1612806], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 178752, 'degree': 245760, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0858836544552859405198456619', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [260672203072, 399], 'lmfdb_iso': '178752.s', 'lmfdb_label': '178752.s3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2129, 38529], 'min_quad_twist_disc': -56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.2', '56.12.0-4.c.1.5', '152.12.0.?', '168.24.0.?', '456.24.0.?', '1064.24.0.?', '1596.12.0.?', '3192.48.0.?'], '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, 2, 2793], [3, 4, 59584], [7, 32, 3648], [19, 20, 9408]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.23364501035234336674144677055', 'prec': 107}, 'szpiro_ratio': 3.4828615865890233, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1151987
    {'Ciso': '178752df', 'Clabel': '178752df4', 'Cnumber': 4, 'abc_quality': 0.9297710681598299, 'absD': 14245213248258048, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3192, 'ainvs': [0, -1, 0, 10911, -5729247], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 178752, 'degree': 983040, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7790308350152312499370777834', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [37259704, 3695139], 'lmfdb_iso': '178752.s', 'lmfdb_label': '178752.s4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 56, 2068], 'min_quad_twist_disc': -56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.6', '28.12.0-4.c.1.2', '152.12.0.?', '168.24.0.?', '456.24.0.?', '1064.24.0.?', '3192.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 931], [3, 4, 59584], [7, 32, 3648], [19, 20, 9408]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.060358215212357039387138740145', 'prec': 110}, 'szpiro_ratio': 3.6914974846081074, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}