Elliptic curve isogeny class data - 152592.n

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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, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0], 'aplist': [0, -1, -2, 0, 1, 2, 0, 0, 4, -2, 0, 10, -6, 8, 4, -6, 12, -2, -4, 12, 14, 16, 12, 10, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 152592, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '152592.n', 'trace_hash': 37199693999055162}
• lmfdb_iso 152592.n 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: 989889
    {'Ciso': '152592de', 'Clabel': '152592de4', 'Cnumber': 4, 'abc_quality': 0.9748605365818221, 'absD': 44045463508992, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4488, 'ainvs': [0, -1, 0, -136504, -19363760], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 152592, 'degree': 589824, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6290196718837838711645586171', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [5690357426, 891], 'lmfdb_iso': '152592.n', 'lmfdb_label': '152592.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -472, 4108], 'min_quad_twist_disc': -68, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.bb.1', '88.12.0.?', '136.12.0.?', '264.24.0.?', '408.24.0.?', '748.12.0.?', '1496.24.0.?', '4488.48.0.?'], '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, 3179], [3, 4, 50864], [11, 12, 13872], [17, 146, 528]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42297191565760736925933813651', 'prec': 107}, 'szpiro_ratio': 3.9450251204999263, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 989887
    {'Ciso': '152592de', 'Clabel': '152592de2', 'Cnumber': 2, 'abc_quality': 0.899108725536897, 'absD': 26916672144384, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4488, 'ainvs': [0, -1, 0, -9344, -238896], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 152592, 'degree': 294912, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2824460816038112164559425563', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [3650692, 1089], 'lmfdb_iso': '152592.n', 'lmfdb_label': '152592.n2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -32, 60], 'min_quad_twist_disc': -68, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0.a.1', '88.12.0.?', '132.12.0.?', '136.12.0.?', '204.12.0.?', '264.24.0.?', '408.24.0.?', '748.12.0.?', '1496.24.0.?', '2244.24.0.?', '4488.48.0.?'], '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, 289], [3, 4, 50864], [11, 12, 13872], [17, 146, 528]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.71178324089091791484985152052', 'prec': 107}, 'szpiro_ratio': 3.2710069980802716, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 989886
    {'Ciso': '152592de', 'Clabel': '152592de1', 'Cnumber': 1, 'abc_quality': 0.8218791690420852, 'absD': 203914182912, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4488, 'ainvs': [0, -1, 0, -3564, 80160], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 152592, 'degree': 147456, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.93587249132383856174732649561', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [810448, 33], 'lmfdb_iso': '152592.n', 'lmfdb_label': '152592.n3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -12, -12], 'min_quad_twist_disc': -68, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.bb.1', '66.6.0.a.1', '88.12.0.?', '132.12.0.?', '136.12.0.?', '204.12.0.?', '264.24.0.?', '408.24.0.?', '748.12.0.?', '1496.24.0.?', '2244.24.0.?', '4488.48.0.?'], '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, 9537], [3, 4, 50864], [11, 12, 13872], [17, 146, 528]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.94283230107756635132226222763', 'prec': 107}, 'szpiro_ratio': 3.028757102168346, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 989888
    {'Ciso': '152592de', 'Clabel': '152592de3', 'Cnumber': 3, 'abc_quality': 0.9609292254731742, 'absD': 2171278219646976, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4488, 'ainvs': [0, -1, 0, 25336, -1626096], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 152592, 'degree': 589824, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6290196718837838711645586171', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [36382894, 43923], 'lmfdb_iso': '152592.n', 'lmfdb_label': '152592.n4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 88, 300], 'min_quad_twist_disc': -68, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.v.1', '88.12.0.?', '136.12.0.?', '204.12.0.?', '264.24.0.?', '408.24.0.?', '1496.24.0.?', '4488.48.0.?'], '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, 867], [3, 4, 50864], [11, 12, 13872], [17, 146, 528]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42297191565760736925933813651', 'prec': 107}, 'szpiro_ratio': 3.528636041034333, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}