Elliptic curve isogeny class data - 151008.be

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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, 0, 0, -1, 0, -2, 0, 6, 0, -8, 0], 'aplist': [0, 1, -2, 0, 0, -1, 6, -8, -8, -2, -8, -10, -6, -4, 0, -14, 12, 10, 8, 0, 14, -4, 4, -10, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 151008, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '151008.be', 'trace_hash': 718180513176749952}
• lmfdb_iso 151008.be 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: 980253
    {'Ciso': '151008b', 'Clabel': '151008b4', 'Cnumber': 4, 'abc_quality': 1.0110791802338388, 'absD': 318370770432, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3432, 'ainvs': [0, 1, 0, -453064, -117529348], 'analytic_rank': 2, 'bad_primes': [2, 3, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 151008, 'degree': 983040, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7116639787485666424265547378', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 30, 'isogeny_degrees': [1, 2, 4], 'jinv': [11339065490696, 351], 'lmfdb_iso': '151008.be', 'lmfdb_label': '151008.be1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3744, -86940], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.ba.1', '88.12.0.?', '104.12.0.?', '132.12.0.?', '264.24.0.?', '312.24.0.?', '1144.24.0.?', '3432.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '24.611432402869506905840585957', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 4719], [3, 4, 50336], [11, 62, 1248], [13, 14, 11616]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.0071440430705776116673411422758', 'prec': 113}, 'szpiro_ratio': 4.250280657272446, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 980251
    {'Ciso': '151008b', 'Clabel': '151008b2', 'Cnumber': 2, 'abc_quality': 1.069422794221752, 'absD': 5595684661112832, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3432, 'ainvs': [0, 1, 0, -44689, 504095], 'analytic_rank': 2, 'bad_primes': [2, 3, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 151008, 'degree': 983040, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7116639787485666424265547378', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 30, 'isogeny_degrees': [1, 2, 4], 'jinv': [1360251712, 771147], 'lmfdb_iso': '151008.be', 'lmfdb_label': '151008.be2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -369, 513], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0.h.1', '44.12.0-4.c.1.1', '104.12.0.?', '132.24.0.?', '312.24.0.?', '1144.24.0.?', '3432.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 19, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.5382145251793441816150366223', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 363], [3, 4, 50336], [11, 62, 1248], [13, 14, 11616]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.18043083821056393902164917264', 'prec': 107}, 'szpiro_ratio': 3.667568160398505, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 980250
    {'Ciso': '151008b', 'Clabel': '151008b1', 'Cnumber': 1, 'abc_quality': 1.0666224422011716, 'absD': 13968517552704, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3432, 'ainvs': [0, 1, 0, -28354, -1838344], 'analytic_rank': 2, 'bad_primes': [2, 3, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 151008, 'degree': 491520, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3650903884685939877179386771', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 30, 'isogeny_degrees': [1, 2], 'jinv': [22235451328, 123201], 'lmfdb_iso': '151008.be', 'lmfdb_label': '151008.be3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -234, -1296], 'min_quad_twist_disc': 44, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0.a.1', '44.12.0-2.a.1.1', '104.12.0.?', '132.24.0.?', '312.24.0.?', '1144.24.0.?', '3432.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 19, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '6.1528581007173767264601464894', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 121], [3, 4, 50336], [11, 62, 1248], [13, 14, 11616]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.18043083821056393902164917261', 'prec': 107}, 'szpiro_ratio': 3.5531149240223145, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 980252
    {'Ciso': '151008b', 'Clabel': '151008b3', 'Cnumber': 3, 'abc_quality': 1.1090184401235288, 'absD': 6266491874413056, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3432, 'ainvs': [0, 1, 0, -12624, -3851784], 'analytic_rank': 2, 'bad_primes': [2, 3, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 151008, 'degree': 983040, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7116639787485666424265547378', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 2, 'iso_nlabel': 30, 'isogeny_degrees': [1, 2, 4], 'jinv': [-245314376, 6908733], 'lmfdb_iso': '151008.be', 'lmfdb_label': '151008.be4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -104, -2856], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.ba.1', '44.12.0-4.c.1.2', '104.12.0.?', '264.24.0.?', '312.24.0.?', '1144.24.0.?', '3432.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '6.1528581007173767264601464894', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1573], [3, 4, 50336], [11, 62, 1248], [13, 14, 11616]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.0071440430705776116673411422758', 'prec': 113}, 'szpiro_ratio': 3.67704229492481, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}