Elliptic curve isogeny class data - 29008.l

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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, 0, 0, 0, 0, -2, 0, -3, 0, 4, 0, 0, 0, -6, 0, 2, 0], 'aplist': [0, 1, 0, 0, -3, 4, -6, 2, -6, -6, -4, 1, 9, -8, 3, -3, 12, -8, 4, 15, -11, 10, 9, -6, -8], 'class_deg': 9, 'class_size': 3, 'conductor': 29008, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '29008.l', 'trace_hash': 1559689409043989515}
• lmfdb_iso 29008.l 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: 192983
    {'Ciso': '29008l', 'Clabel': '29008l3', 'Cnumber': 3, 'abc_quality': 1.0859831071145252, 'absD': 17829941248, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 27972, 'ainvs': [0, 1, 0, -1468693, -685575101], 'analytic_rank': 0, 'bad_primes': [2, 7, 37], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 29008, 'degree': 163296, 'elladic_images': ['27.36.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8881838146113053169766934987', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 11, 'isogeny_degrees': [1, 3, 9], 'jinv': [727057727488000, 37], 'lmfdb_iso': '29008.l', 'lmfdb_label': '29008.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -1873, -31833], 'min_quad_twist_disc': 28, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '27.36.0.a.1', '74.2.0.?', '84.8.0.?', '222.8.0.?', '252.24.0.?', '333.36.0.?', '666.72.3.?', '756.72.0.?', '999.324.16.?', '1998.648.43.?', '3108.16.0.?', '9324.144.3.?', '27972.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1813], [7, 26, 592], [37, 38, 784]], 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.22208155952370335500678500552', 'prec': 103}, 'szpiro_ratio': 5.27606122996944, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 192982
    {'Ciso': '29008l', 'Clabel': '29008l2', 'Cnumber': 2, 'abc_quality': 0.9727427413985318, 'absD': 24409189568512, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 27972, 'ainvs': [0, 1, 0, -18293, -928285], 'analytic_rank': 0, 'bad_primes': [2, 7, 37], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 29008, 'degree': 54432, 'elladic_images': ['9.36.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3388776702772504712790708802', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 11, 'isogeny_degrees': [1, 3], 'jinv': [1404928000, 50653], 'lmfdb_iso': '29008.l', 'lmfdb_label': '29008.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -23, -50], 'min_quad_twist_disc': 28, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '9.36.0.b.1', '74.2.0.?', '84.24.0.?', '222.24.1.?', '252.72.0.?', '333.108.4.?', '666.216.13.?', '999.324.16.?', '1998.648.43.?', '3108.48.1.?', '9324.432.13.?', '27972.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1813], [3, 2, 784], [7, 26, 592], [37, 38, 784]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.32722458481035149069083761298', 'prec': 107}, 'szpiro_ratio': 3.9956372407075498, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 192981
    {'Ciso': '29008l', 'Clabel': '29008l1', 'Cnumber': 1, 'abc_quality': 0.8826782160855301, 'absD': 17829941248, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 27972, 'ainvs': [0, 1, 0, -2613, 50147], 'analytic_rank': 0, 'bad_primes': [2, 7, 37], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 29008, 'degree': 18144, 'elladic_images': ['27.36.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.78957152594319562558144826178', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 3, 9], 'jinv': [4096000, 37], 'lmfdb_iso': '29008.l', 'lmfdb_label': '29008.l3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -3, 1], 'min_quad_twist_disc': 28, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '27.36.0.a.1', '74.2.0.?', '84.8.0.?', '222.8.0.?', '252.24.0.?', '333.36.0.?', '666.72.3.?', '756.72.0.?', '999.324.16.?', '1998.648.43.?', '3108.16.0.?', '9324.144.3.?', '27972.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1813], [7, 26, 592], [37, 38, 784]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87653072914440633638846023140', 'prec': 107}, 'szpiro_ratio': 3.4275063690346816, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}