Elliptic curve isogeny class data - 412698.cr

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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, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 8, 0], 'aplist': [1, 1, 0, 2, 1, 0, 2, 8, -2, -2, 8, -1, -6, 12, 10, 12, 4, 0, 12, 14, 14, -10, -12, -6, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 412698, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '412698.cr', 'trace_hash': 2102328294907616416}
• lmfdb_iso 412698.cr 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: 2556989
    {'Ciso': '412698cr', 'Clabel': '412698cr1', 'Cnumber': 1, 'abc_quality': 0.9869944369461394, 'absD': 1128167205569439976512, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 264, 'ainvs': [1, 0, 0, -6243793, 5783062505], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 412698, 'degree': 27371520, 'elladic_images': ['8.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8043669865310417904718375026', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 69, 'isogeny_degrees': [1, 2], 'jinv': [5577108481460841625, 233729407061568], 'lmfdb_iso': '412698.cr', 'lmfdb_label': '412698.cr1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -36946, 2629412], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.d.1', '66.6.0.a.1', '264.12.0.?'], '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, 4, 5577], [3, 4, 68783], [11, 12, 12506], [13, 86, 2442], [37, 38, 11154]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5218923078002734224450937818', 'prec': 100}, 'szpiro_ratio': 4.5284426680030565, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2556990
    {'Ciso': '412698cr', 'Clabel': '412698cr2', 'Cnumber': 2, 'abc_quality': 1.0317146021208583, 'absD': 200727337072233876799752, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 264, 'ainvs': [1, 0, 0, 3010647, 21461934753], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 412698, 'degree': 54743040, 'elladic_images': ['8.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1509405768110144451804535633', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 69, 'isogeny_degrees': [1, 2], 'jinv': [625234740274982375, 41585929145369928], 'lmfdb_iso': '412698.cr', 'lmfdb_label': '412698.cr2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 17814, 9770116], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.a.1', '132.6.0.?', '264.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 169], [3, 4, 68783], [11, 12, 12506], [13, 86, 2442], [37, 38, 11154]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8684658980802460771537098425', 'prec': 100}, 'szpiro_ratio': 4.725443788079621, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}