Elliptic curve isogeny class data - 160016.d

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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, 2, 0, 0, 0, -3, 0, -4, 0, 2, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, 0, 2, 0, -4, 2, 2, -4, -4, -6, -8, -10, 2, -4, 0, 10, -4, -2, 0, 12, 1, -4, -12, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 160016, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '160016.d', 'trace_hash': 455952812238398025}
• lmfdb_iso 160016.d 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: 1036012
    {'Ciso': '160016c', 'Clabel': '160016c3', 'Cnumber': 3, 'abc_quality': 0.8911266928970615, 'absD': 63742918934528, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 80008, 'ainvs': [0, 0, 0, -48539, 4098122], 'analytic_rank': 2, 'bad_primes': [2, 73, 137], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 160016, 'degree': 380928, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4956034983975090105790535635', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [3087708109600113, 15562236068], 'lmfdb_iso': '160016.d', 'lmfdb_label': '160016.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -3034, -63275], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '274.6.0.?', '548.24.0.?', '584.24.0.?', '80008.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '22.160579350982222034164482272', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.80245631783756370116182144204', 'prec': 103}, 'szpiro_ratio': 3.6705219805243954, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 1036011
    {'Ciso': '160016c', 'Clabel': '160016c2', 'Cnumber': 2, 'abc_quality': 0.9319540357902351, 'absD': 6554910785536, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 40004, 'ainvs': [0, 0, 0, -4699, -14070], 'analytic_rank': 2, 'bad_primes': [2, 73, 137], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 160016, 'degree': 190464, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1490299081175363558704375028', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [2801432090673, 1600320016], 'lmfdb_iso': '160016.d', 'lmfdb_label': '160016.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -294, 293], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '292.24.0.?', '548.24.0.?', '40004.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '22.160579350982222034164482272', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.45588272755759104645320538134', 'prec': 103}, 'szpiro_ratio': 3.085940771295464, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1036010
    {'Ciso': '160016c', 'Clabel': '160016c1', 'Cnumber': 1, 'abc_quality': 0.8220684251678372, 'absD': 10486808576, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 80008, 'ainvs': [0, 0, 0, -3419, -76790], 'analytic_rank': 2, 'bad_primes': [2, 73, 137], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 160016, 'degree': 95232, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.80245631783756370116182144205', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [1079098444593, 2560256], 'lmfdb_iso': '160016.d', 'lmfdb_label': '160016.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -214, 1253], '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.1.5', '292.12.0.?', '548.12.0.?', '584.24.0.?', '1096.24.0.?', '20002.6.0.?', '40004.24.0.?', '80008.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '22.160579350982222034164482272', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.10930913727761839174458932059', 'prec': 103}, 'szpiro_ratio': 3.0063277768440804, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1036013
    {'Ciso': '160016c', 'Clabel': '160016c4', 'Cnumber': 4, 'abc_quality': 0.9622805991161653, 'absD': 421332604567552, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 80008, 'ainvs': [0, 0, 0, 18661, -112182], 'analytic_rank': 2, 'bad_primes': [2, 73, 137], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 160016, 'degree': 380928, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4956034983975090105790535635', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [175456112547087, 102864405412], 'lmfdb_iso': '160016.d', 'lmfdb_label': '160016.d4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, 1166, 1461], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '292.24.0.?', '1096.24.0.?', '80008.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '22.160579350982222034164482272', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.80245631783756370116182144204', 'prec': 103}, 'szpiro_ratio': 3.4312005685044307, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}