Elliptic curve isogeny class data - 80080.v

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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, 0, 0, -1, 0, 1, 0, -3, 0, 1, 0, -1, 0, 0, 0, 6, 0, 8, 0], 'aplist': [0, 0, -1, 1, 1, -1, 6, 8, 0, 2, 0, 2, -6, 12, 0, 14, -12, 2, 12, -12, 2, 4, -16, 14, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 80080, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '80080.v', 'trace_hash': 205460104791051145}
• lmfdb_iso 80080.v 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: 528248
    {'Ciso': '80080bc', 'Clabel': '80080bc4', 'Cnumber': 4, 'abc_quality': 0.9346885365628436, 'absD': 599476471193600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 8008, 'ainvs': [0, 0, 0, -36683, -2434182], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 80080, 'degree': 344064, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5690768195406871661931413476', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2, 4], 'jinv': [1332779492447649, 146356560350], 'lmfdb_iso': '80080.v', 'lmfdb_label': '80080.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -2293, 38607], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '28.12.0-4.c.1.2', '56.24.0-56.s.1.3', '1144.24.0.?', '8008.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 7], [5, 6, 16016], [7, 8, 11440], [11, 12, 7280], [13, 14, 6160]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.87592963898074185677590922614', 'prec': 103}, 'szpiro_ratio': 3.8211535220820583, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 528246
    {'Ciso': '80080bc', 'Clabel': '80080bc2', 'Cnumber': 2, 'abc_quality': 0.904026026242857, 'absD': 10260490240000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 8008, 'ainvs': [0, 0, 0, -8683, 270618], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 80080, 'degree': 172032, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2225032292607145114845252869', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2], 'jinv': [17675559395649, 2505002500], 'lmfdb_iso': '80080.v', 'lmfdb_label': '80080.v2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -543, -4093], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '28.12.0-2.a.1.1', '56.24.0-56.b.1.3', '572.12.0.?', '1144.24.0.?', '4004.24.0.?', '8008.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [5, 6, 16016], [7, 8, 11440], [11, 12, 7280], [13, 14, 6160]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.52935604870076920206729316544', 'prec': 103}, 'szpiro_ratio': 3.4382890536528348, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 528245
    {'Ciso': '80080bc', 'Clabel': '80080bc1', 'Cnumber': 1, 'abc_quality': 0.8672823170624246, 'absD': 1640038400, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 8008, 'ainvs': [0, 0, 0, -8363, 294362], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 80080, 'degree': 86016, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.87592963898074185677590922613', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2, 4], 'jinv': [15792469779969, 400400], 'lmfdb_iso': '80080.v', 'lmfdb_label': '80080.v3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -523, -4469], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '28.12.0-4.c.1.1', '56.24.0-56.y.1.9', '572.12.0.?', '1144.24.0.?', '2002.6.0.?', '4004.24.0.?', '8008.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1001], [5, 6, 16016], [7, 8, 11440], [11, 12, 7280], [13, 14, 6160]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.18278245842079654735867710467', 'prec': 103}, 'szpiro_ratio': 3.4283119204583348, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 528247
    {'Ciso': '80080bc', 'Clabel': '80080bc3', 'Cnumber': 3, 'abc_quality': 0.9132527410838602, 'absD': 1098697600000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 8008, 'ainvs': [0, 0, 0, 14197, 1455802], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 80080, 'degree': 344064, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5690768195406871661931413476', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2, 4], 'jinv': [77259787831071, 268236718750], 'lmfdb_iso': '80080.v', 'lmfdb_label': '80080.v4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, 887, -22969], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '56.24.0-56.y.1.14', '572.12.0.?', '1144.24.0.?', '8008.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 143], [5, 6, 16016], [7, 8, 11440], [11, 12, 7280], [13, 14, 6160]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.87592963898074185677590922614', 'prec': 103}, 'szpiro_ratio': 3.7114597316222055, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}