Elliptic curve isogeny class data - 162624.bb

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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, -1, 0, -2, 0, 1, 0, 1, 0, 0, 0, -2, 0, 2, 0, -6, 0, -4, 0], 'aplist': [0, -1, -2, 1, 0, -2, -6, -4, -4, 6, -8, 10, 10, 12, -8, -6, -4, -10, -12, 4, -2, -8, 4, 6, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 162624, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '162624.bb', 'trace_hash': 287956287563163698}
• lmfdb_iso 162624.bb 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: 1052863
    {'Ciso': '162624hc', 'Clabel': '162624hc4', 'Cnumber': 4, 'abc_quality': 0.9646136186834661, 'absD': 65829279301632, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [0, -1, 0, -73729, -7671167], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 162624, 'degree': 737280, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5524802217482524702405381794', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2, 4], 'jinv': [381775972, 567], 'lmfdb_iso': '162624.bb', 'lmfdb_label': '162624.bb1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -152, 672], 'min_quad_twist_disc': -88, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.z.1', '28.12.0.h.1', '88.12.0.?', '168.24.0.?', '264.24.0.?', '616.24.0.?', '1848.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.0814738855256338103465588943', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 847], [3, 4, 54208], [7, 8, 23232], [11, 62, 1344]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.57066365539752654768007643819', 'prec': 107}, 'szpiro_ratio': 3.7700918301661837, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1052861
    {'Ciso': '162624hc', 'Clabel': '162624hc2', 'Cnumber': 2, 'abc_quality': 0.9539300254639066, 'absD': 12800137641984, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [0, -1, 0, -5969, -41391], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 162624, 'degree': 368640, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2059066314682798155319221186', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2], 'jinv': [810448, 441], 'lmfdb_iso': '162624.bb', 'lmfdb_label': '162624.bb2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -12, 0], 'min_quad_twist_disc': -88, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0.b.1', '28.12.0.a.1', '84.24.0.?', '88.12.0.?', '264.24.0.?', '616.24.0.?', '1848.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5407369427628169051732794472', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 121], [3, 4, 54208], [7, 8, 23232], [11, 62, 1344]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.80171271558417498415248714542', 'prec': 107}, 'szpiro_ratio': 3.141608355703164, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1052860
    {'Ciso': '162624hc', 'Clabel': '162624hc1', 'Cnumber': 1, 'abc_quality': 0.9302571953252023, 'absD': 38095647744, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [0, -1, 0, -3549, 82029], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 162624, 'degree': 184320, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.85933304118830716082330605791', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2, 4], 'jinv': [2725888, 21], 'lmfdb_iso': '162624.bb', 'lmfdb_label': '162624.bb3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -7, -10], 'min_quad_twist_disc': -88, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.z.1', '42.6.0.a.1', '56.12.0.ba.1', '84.12.0.?', '88.12.0.?', '168.24.0.?', '264.24.0.?', '616.24.0.?', '1848.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.0814738855256338103465588943', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2541], [3, 4, 54208], [7, 8, 23232], [11, 62, 1344]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.91723724567749920238869249895', 'prec': 107}, 'szpiro_ratio': 3.011630783106563, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1052862
    {'Ciso': '162624hc', 'Clabel': '162624hc3', 'Cnumber': 3, 'abc_quality': 1.0121470066906046, 'absD': 836275659276288, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [0, -1, 0, 23071, -349215], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 162624, 'degree': 737280, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5524802217482524702405381794', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2, 4], 'jinv': [11696828, 7203], 'lmfdb_iso': '162624.bb', 'lmfdb_label': '162624.bb4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 48, 48], 'min_quad_twist_disc': -88, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '6.6.0.a.1', '12.12.0.g.1', '56.12.0.ba.1', '88.12.0.?', '168.24.0.?', '264.24.0.?', '616.24.0.?', '1848.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.0814738855256338103465588943', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 363], [3, 4, 54208], [7, 8, 23232], [11, 62, 1344]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.57066365539752654768007643819', 'prec': 107}, 'szpiro_ratio': 3.4796126795186075, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}