Elliptic curve isogeny class data - 356160.gm

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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, 1, 0, -1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, -4, 0], 'aplist': [0, 1, 1, -1, 0, 2, 2, -4, 8, -2, -4, 2, -10, 12, -8, 1, 8, -10, 4, 0, -6, 4, -12, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 356160, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '356160.gm', 'trace_hash': 91570385448541627}
• lmfdb_iso 356160.gm 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 2224931
    {'Ciso': '356160gm', 'Clabel': '356160gm3', 'Cnumber': 3, 'abc_quality': 0.9875172218259044, 'absD': 118688043360544358400, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1272, 'ainvs': [0, 1, 0, -44400865, 113860796063], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 53], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 356160, 'degree': 23592960, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9998792582014497155113703980', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 1, 'iso_nlabel': 168, 'isogeny_degrees': [1, 2, 4], 'jinv': [36928196050908253259449, 452758954469850], 'lmfdb_iso': '356160.gm', 'lmfdb_label': '356160.gm1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -693764, -222471088], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '24.24.0-24.y.1.4', '424.24.0.?', '1272.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.4221113183670551044329498618', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 53], [3, 4, 118720], [5, 6, 23744], [7, 8, 50880], [53, 54, 6720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9601584873615317513855222158', 'prec': 100}, 'szpiro_ratio': 5.041009880068535, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 2224932
    {'Ciso': '356160gm', 'Clabel': '356160gm4', 'Cnumber': 4, 'abc_quality': 0.974878203741737, 'absD': 19241360848281600000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1272, 'ainvs': [0, 1, 0, -10469345, -11204477025], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 53], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 356160, 'degree': 23592960, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9998792582014497155113703980', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 168, 'isogeny_degrees': [1, 2, 4], 'jinv': [484108118865316036729, 73399966614843750], 'lmfdb_iso': '356160.gm', 'lmfdb_label': '356160.gm2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -163584, 21863296], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '24.24.0-24.s.1.1', '424.24.0.?', '1272.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.85552782959176377610823746544', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 3], [3, 4, 118720], [5, 6, 23744], [7, 8, 50880], [53, 54, 6720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9601584873615317513855222158', 'prec': 100}, 'szpiro_ratio': 4.701936384144346, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2224930
    {'Ciso': '356160gm', 'Clabel': '356160gm2', 'Cnumber': 2, 'abc_quality': 0.9576627180168358, 'absD': 260997517830389760000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1272, 'ainvs': [0, 1, 0, -2848865, 1678706463], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 53], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 356160, 'degree': 11796480, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6533056679214770608027543372', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 168, 'isogeny_degrees': [1, 2], 'jinv': [9754377335041367449, 995626517602500], 'lmfdb_iso': '356160.gm', 'lmfdb_label': '356160.gm3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -44514, -3284288], 'min_quad_twist_disc': -8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '24.24.0-24.b.1.4', '424.24.0.?', '636.24.0.?', '1272.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7110556591835275522164749309', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 118720], [5, 6, 23744], [7, 8, 50880], [53, 54, 6720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6135848970815590966769061550', 'prec': 100}, 'szpiro_ratio': 4.396487680039718, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2224929
    {'Ciso': '356160gm', 'Clabel': '356160gm1', 'Cnumber': 1, 'abc_quality': 1.0087590487541898, 'absD': 7785139098510950400, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1272, 'ainvs': [0, 1, 0, 224415, 127929375], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 53], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 356160, 'degree': 5898240, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3067320776415044060941382765', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 168, 'isogeny_degrees': [1, 2, 4], 'jinv': [4768013769464231, 29697948831600], 'lmfdb_iso': '356160.gm', 'lmfdb_label': '356160.gm4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 3506, -249424], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '24.24.0-24.y.1.6', '318.6.0.?', '424.24.0.?', '636.12.0.?', '1272.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.4221113183670551044329498618', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 159], [3, 4, 118720], [5, 6, 23744], [7, 8, 50880], [53, 54, 6720]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2670113068015864419682900943', 'prec': 100}, 'szpiro_ratio': 3.978363067131163, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}