Elliptic curve isogeny class data - 48139.g

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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, -2, -2, 3, 0, -1, 0, 1, 0, 0, 4, 1, 0, -6, 4, 6, 0, 7, -6], 'aplist': [0, -2, 3, -1, 0, 1, 6, 7, 0, -9, 5, -2, -6, 1, 3, 9, 0, 10, -14, -6, 11, 1, -3, -15, 1], 'class_deg': 9, 'class_size': 3, 'conductor': 48139, 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'lmfdb_iso': '48139.g', 'trace_hash': 1938105140689403878}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 2415411
    {'lmfdb_iso': '48139.g', 'p': 5, 'prec': 20, 'unit': 1133614002653, 'val': 2}
  • id: 2415404
    {'lmfdb_iso': '48139.g', 'p': 17, 'prec': 20, 'unit': 208967679135035393738794, 'val': 1}
  • id: 2415394
    {'lmfdb_iso': '48139.g', 'p': 19, 'prec': 20, 'unit': 666737817078978960001448, 'val': 1}
  • id: 2415402
    {'lmfdb_iso': '48139.g', 'p': 29, 'prec': 20, 'unit': 3708817988916958387645785604, 'val': 1}
  • id: 2415399
    {'lmfdb_iso': '48139.g', 'p': 31, 'prec': 20, 'unit': 18747247356434191378664698644, 'val': 1}
  • id: 2415397
    {'lmfdb_iso': '48139.g', 'p': 37, 'prec': 20, 'unit': 86155041823156485996163996714, 'val': 1}
  • id: 2415400
    {'lmfdb_iso': '48139.g', 'p': 41, 'prec': 20, 'unit': 414299715027145231172558990691, 'val': 1}
  • id: 2415401
    {'lmfdb_iso': '48139.g', 'p': 43, 'prec': 20, 'unit': 56581661303129583608425589735064, 'val': -1}
  • id: 2415403
    {'lmfdb_iso': '48139.g', 'p': 47, 'prec': 20, 'unit': 31718356103241790359526305671213, 'val': 1}
  • id: 2415406
    {'lmfdb_iso': '48139.g', 'p': 53, 'prec': 20, 'unit': 250510718145558292644856529304948, 'val': 1}
  • id: 2415410
    {'lmfdb_iso': '48139.g', 'p': 61, 'prec': 20, 'unit': 715013513490901398699280941854043, 'val': 1}
  • id: 2415396
    {'lmfdb_iso': '48139.g', 'p': 67, 'prec': 20, 'unit': 43837722649493804881941165941751092, 'val': 1}
  • id: 2415398
    {'lmfdb_iso': '48139.g', 'p': 71, 'prec': 20, 'unit': 54818385586781756992649211679741740, 'val': 1}
  • id: 2415407
    {'lmfdb_iso': '48139.g', 'p': 73, 'prec': 20, 'unit': 55317991066388790075774839660786532, 'val': 1}
  • id: 2415409
    {'lmfdb_iso': '48139.g', 'p': 79, 'prec': 20, 'unit': 87654398531828485115333679999843659687, 'val': -1}
  • id: 2415405
    {'lmfdb_iso': '48139.g', 'p': 83, 'prec': 20, 'unit': 29810136709739186425351673500088189, 'val': 2}
  • id: 2415408
    {'lmfdb_iso': '48139.g', 'p': 89, 'prec': 20, 'unit': 10384766906877504148609008662207715564, 'val': 1}
  • id: 2415395
    {'lmfdb_iso': '48139.g', 'p': 97, 'prec': 20, 'unit': 257584303076809044577210450856133774183, 'val': -1}
• 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: 320093
    {'Ciso': '48139h', 'Clabel': '48139h3', 'Cnumber': 3, 'abc_quality': 1.1502342302824948, 'absD': 77659167125821099, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 37674, 'ainvs': [0, 1, 1, -62069, 14648769], 'analytic_rank': 1, 'bad_primes': [7, 13, 23], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 48139, 'degree': 449064, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9278509495810174992034571313', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 6, 'isogeny_degrees': [1, 3, 9], 'jinv': [-178643795968, 524596891], 'lmfdb_iso': '48139.g', 'lmfdb_label': '48139.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -117, -1245], 'min_quad_twist_disc': -23, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '69.8.0-3.a.1.1', '117.36.0.?', '182.2.0.?', '207.24.0.?', '546.8.0.?', '1638.72.3.?', '2691.72.0.?', '12558.16.0.?', '37674.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '14.350105158510386202007271646', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.36010384161644265380008071540', 'prec': 103}, 'szpiro_ratio': 4.3151881148002, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 320091
    {'Ciso': '48139h', 'Clabel': '48139h1', 'Cnumber': 1, 'abc_quality': 0.8714055948137694, 'absD': 13471265899, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 37674, 'ainvs': [0, 1, 1, -3879, -94461], 'analytic_rank': 1, 'bad_primes': [7, 13, 23], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 48139, 'degree': 49896, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.82923866091290780780821189434', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 3, 9], 'jinv': [-43614208, 91], 'lmfdb_iso': '48139.g', 'lmfdb_label': '48139.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -7, 5], 'min_quad_twist_disc': -23, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '69.8.0-3.a.1.2', '117.36.0.?', '182.2.0.?', '207.24.0.?', '546.8.0.?', '1638.72.3.?', '2691.72.0.?', '12558.16.0.?', '37674.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '14.350105158510386202007271646', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.73850844705166703759516452156', 'prec': 107}, 'szpiro_ratio': 3.376736342144021, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 320092
    {'Ciso': '48139h', 'Clabel': '48139h2', 'Cnumber': 2, 'abc_quality': 0.9579816735246167, 'absD': 111555552909619, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 37674, 'ainvs': [0, 1, 1, 6701, -460000], 'analytic_rank': 1, 'bad_primes': [7, 13, 23], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 48139, 'degree': 149688, 'elladic_images': ['3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3785448052469626535058345128', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 6, 'isogeny_degrees': [1, 3], 'jinv': [224755712, 753571], 'lmfdb_iso': '48139.g', 'lmfdb_label': '48139.g3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 13, 42], 'min_quad_twist_disc': -23, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '69.24.0-3.a.1.1', '117.36.0.?', '182.2.0.?', '546.24.1.?', '1638.72.3.?', '2691.72.0.?', '12558.48.1.?', '37674.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.7833683861701287340024238819', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.18920230271761219189754190310', 'prec': 107}, 'szpiro_ratio': 3.673841069751572, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}