Elliptic curve isogeny class data - 690.k

Formats: - HTML - YAML - JSON - 2024-04-28T19:39:23.693048

• 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, 1, 1, 1, 1, 1, 0, 1, 1, 1, 4, 1, -2, 0, 1, 1, -6, 1, 4, 1], 'aplist': [1, 1, 1, 0, 4, -2, -6, 4, -1, -2, 0, -2, 10, -4, 0, 6, -4, -10, -12, -8, 10, -8, -4, 18, 2], 'class_deg': 8, 'class_size': 6, 'conductor': 690, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '690.k', 'trace_hash': 1344400317095030613}
• lmfdb_iso 690.k 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 3266
    {'Ciso': '690k', 'Clabel': '690k4', 'Cnumber': 4, 'abc_quality': 1.026629656347475, 'absD': 20700, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1104, 'ainvs': [1, 0, 0, -110400, 14109732], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 690, 'degree': 1536, 'elladic_images': ['16.48.0.27'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1530170703525210353681259491', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [148809678420065817601, 20700], 'lmfdb_iso': '690.k', 'lmfdb_label': '690.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -110400, 14109732], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.n.1.2', '16.48.0-16.e.1.2', '24.48.0-24.by.1.3', '48.96.0-48.bk.1.7', '92.24.0.?', '184.48.0.?', '368.96.0.?', '552.96.0.?', '1104.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1530170703525210353681259491', 'prec': 100}, 'szpiro_ratio': 7.105918818999843, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 3267
    {'Ciso': '690k', 'Clabel': '690k5', 'Cnumber': 5, 'abc_quality': 1.0152769300892501, 'absD': 293666194803750, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1104, 'ainvs': [1, 0, 0, -25830, -1370850], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 690, 'degree': 3072, 'elladic_images': ['8.48.0.177'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4995906606324936900767420099', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1905890658841300321, 293666194803750], 'lmfdb_iso': '690.k', 'lmfdb_label': '690.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -25830, -1370850], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.48.0-8.bb.2.3', '24.96.0-24.bl.2.7', '368.96.0.?', '1104.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4995906606324936900767420099', 'prec': 100}, 'szpiro_ratio': 6.439263728790514, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 3265
    {'Ciso': '690k', 'Clabel': '690k3', 'Cnumber': 3, 'abc_quality': 0.998081495923215, 'absD': 3935264062500, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 552, 'ainvs': [1, 0, 0, -7080, 207900], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 690, 'degree': 1536, 'elladic_images': ['8.48.0.34'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1530170703525210353681259491', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4], 'jinv': [39248884582600321, 3935264062500], 'lmfdb_iso': '690.k', 'lmfdb_label': '690.k3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -7080, 207900], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.1', '8.48.0-8.e.1.1', '24.96.0-24.m.2.3', '184.96.0.?', '552.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1530170703525210353681259491', 'prec': 100}, 'szpiro_ratio': 5.845265735733511, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 3264
    {'Ciso': '690k', 'Clabel': '690k2', 'Cnumber': 2, 'abc_quality': 0.9952642288505263, 'absD': 428490000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 552, 'ainvs': [1, 0, 0, -6900, 220032], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 690, 'degree': 768, 'elladic_images': ['8.48.0.24'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.80644348007254838065950988840', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4], 'jinv': [36330796409313601, 428490000], 'lmfdb_iso': '690.k', 'lmfdb_label': '690.k4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -6900, 220032], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.3', '8.48.0-8.e.2.2', '24.96.0-24.r.2.5', '92.48.0.?', '184.96.0.?', '552.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.80644348007254838065950988840', 'prec': 103}, 'szpiro_ratio': 5.833446720430876, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4]}
  • id: 3263
    {'Ciso': '690k', 'Clabel': '690k1', 'Cnumber': 1, 'abc_quality': 0.9526154777090129, 'absD': 965779200, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1104, 'ainvs': [1, 0, 0, -420, 3600], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 690, 'degree': 384, 'elladic_images': ['8.48.0.159'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.45986988979257572595089382767', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-8194759433281, 965779200], 'lmfdb_iso': '690.k', 'lmfdb_label': '690.k5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -420, 3600], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.48.0-8.bb.1.1', '46.6.0.a.1', '48.96.0-48.bp.1.7', '92.24.0.?', '184.96.0.?', '1104.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.45986988979257572595089382767', 'prec': 103}, 'szpiro_ratio': 4.577219914334226, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [8]}
  • id: 3268
    {'Ciso': '690k', 'Clabel': '690k6', 'Cnumber': 6, 'abc_quality': 1.2038496011168551, 'absD': 484313964843750, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1104, 'ainvs': [1, 0, 0, 8790, 1010922], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 690, 'degree': 3072, 'elladic_images': ['16.48.0.48'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4995906606324936900767420099', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [75108181893694559, 484313964843750], 'lmfdb_iso': '690.k', 'lmfdb_label': '690.k6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 8790, 1010922], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.n.1.6', '16.48.0-16.e.2.5', '24.48.0-24.bn.1.7', '48.96.0-48.ba.2.5', '184.48.0.?', '368.96.0.?', '552.96.0.?', '1104.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4995906606324936900767420099', 'prec': 100}, 'szpiro_ratio': 6.298972793061439, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}