Elliptic curve isogeny class data - 162450.a

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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, -1, 0, 1, 0, 0, -4, -1, 0, 0, 0, 0, -6, 4, 0, 1, 2, 0, 0, 0], 'aplist': [-1, 0, 0, -4, 0, -6, 2, 0, 8, 2, 8, 10, 6, 8, 0, 2, -12, -2, -12, -8, -2, 16, -4, 6, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 162450, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '162450.a', 'trace_hash': 1586531479212879288}
• lmfdb_iso 162450.a 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: 1051731
    {'Ciso': '162450da', 'Clabel': '162450da3', 'Cnumber': 3, 'abc_quality': 1.0439330953430468, 'absD': 49483342796447812500, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [1, -1, 0, -40001689692, 3079406547008716], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 162450, 'degree': 265420800, 'elladic_images': ['8.12.0.14'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.3137329780547367864066482798', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [13209596798923694545921, 92340], 'lmfdb_iso': '162450.a', 'lmfdb_label': '162450.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -492480, 132819117], 'min_quad_twist_disc': 285, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.1', '60.12.0-4.c.1.1', '76.12.0.?', '120.24.0.?', '152.24.0.?', '570.6.0.?', '1140.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.7993826735132299162230593564', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4874883879204115234041322788', 'prec': 100}, 'szpiro_ratio': 7.071951809430939, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1051732
    {'Ciso': '162450da', 'Clabel': '162450da4', 'Cnumber': 4, 'abc_quality': 1.081271340032757, 'absD': 88753985479418698989492187500, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [1, -1, 0, -2530972692, 46867159493716], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 162450, 'degree': 265420800, 'elladic_images': ['8.12.0.14'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.3137329780547367864066482798', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [3345930611358906241, 165622259047500], 'lmfdb_iso': '162450.a', 'lmfdb_label': '162450.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -31160, 2011565], 'min_quad_twist_disc': 285, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.1', '60.12.0-4.c.1.2', '76.12.0.?', '120.24.0.?', '152.24.0.?', '1140.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.7993826735132299162230593564', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4874883879204115234041322788', 'prec': 100}, 'szpiro_ratio': 6.381764497945337, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1051730
    {'Ciso': '162450da', 'Clabel': '162450da2', 'Cnumber': 2, 'abc_quality': 1.0180906246126984, 'absD': 4569291873823991006250000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1140, 'ainvs': [1, -1, 0, -2500107192, 48116131951216], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 162450, 'degree': 132710400, 'elladic_images': ['4.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9671593877747641316980322190', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [3225005357698077121, 8526675600], 'lmfdb_iso': '162450.a', 'lmfdb_label': '162450.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -30780, 2065677], 'min_quad_twist_disc': 285, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.2', '60.24.0-60.b.1.7', '76.24.0.?', '1140.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.5987653470264598324461187129', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1409147976404388686955162180', 'prec': 100}, 'szpiro_ratio': 6.378696497624229, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1051729
    {'Ciso': '162450da', 'Clabel': '162450da1', 'Cnumber': 1, 'abc_quality': 0.9830842927041407, 'absD': 21721999887413474940000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [1, -1, 0, -154329192, 771294577216], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 162450, 'degree': 66355200, 'elladic_images': ['8.12.0.14'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6205857974947914769894161583', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [-758575480593601, 40535043840], 'lmfdb_iso': '162450.a', 'lmfdb_label': '162450.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1900, 32525], 'min_quad_twist_disc': 285, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.1', '30.6.0.a.1', '60.12.0.g.1', '76.12.0.?', '120.24.0.?', '152.24.0.?', '1140.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.7993826735132299162230593564', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.79434120736046621398690015728', 'prec': 103}, 'szpiro_ratio': 5.689698584501995, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}