Elliptic curve isogeny class data - 177600.p

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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, 0, 0, -4, 0, 1, 0, 6, 0, 2, 0, 0, 0, 6, 0, 2, 0], 'aplist': [0, -1, 0, -4, 6, 2, 6, 2, 0, -6, -8, 1, -6, -8, 6, 6, -12, -8, 4, 0, -14, 16, 12, 6, -8], 'class_deg': 6, 'class_size': 4, 'conductor': 177600, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '177600.p', 'trace_hash': 1428043893886393127}
• lmfdb_iso 177600.p 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: 1144896
    {'Ciso': '177600di', 'Clabel': '177600di4', 'Cnumber': 4, 'abc_quality': 1.0091994908059942, 'absD': 242132322153922560000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 4440, 'ainvs': [0, -1, 0, -16780033, 11815371937], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 37], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 177600, 'degree': 27869184, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1815828048514667603250117112', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [127568139540190201, 59114336463360], 'lmfdb_iso': '177600.p', 'lmfdb_label': '177600.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -10488, -185402], 'min_quad_twist_disc': -40, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.4', '40.6.0.b.1', '120.48.0.?', '444.48.0.?', '4440.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7820676483904327832385272861', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3371430777944986088987838624', 'prec': 100}, 'szpiro_ratio': 5.089702348614009, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1144894
    {'Ciso': '177600di', 'Clabel': '177600di2', 'Cnumber': 2, 'abc_quality': 0.9793481116715311, 'absD': 4087812096000000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 4440, 'ainvs': [0, -1, 0, -8500033, -9535148063], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 37], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 177600, 'degree': 9289728, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6322766605174119146273890928', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [16581570075765001, 998001000], 'lmfdb_iso': '177600.p', 'lmfdb_label': '177600.p2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -5313, 148588], 'min_quad_twist_disc': -40, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.10', '40.6.0.b.1', '120.48.0.?', '444.48.0.?', '4440.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.3462029451712983497155818582', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.78783693346044376320116124400', 'prec': 103}, 'szpiro_ratio': 4.920900329490896, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1144893
    {'Ciso': '177600di', 'Clabel': '177600di1', 'Cnumber': 1, 'abc_quality': 0.9360916883510173, 'absD': 4091904000000000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 4440, 'ainvs': [0, -1, 0, -500033, -167148063], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 37], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 177600, 'degree': 4644864, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2857030702374392599187730320', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-3375675045001, 999000000], 'lmfdb_iso': '177600.p', 'lmfdb_label': '177600.p3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -313, 2588], 'min_quad_twist_disc': -40, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.2', '40.6.0.c.1', '120.48.0.?', '222.24.0.?', '444.48.0.?', '4440.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '16.692405890342596699431163716', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.44126334318047110849254518320', 'prec': 103}, 'szpiro_ratio': 4.251897974414387, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1144895
    {'Ciso': '177600di', 'Clabel': '177600di3', 'Cnumber': 3, 'abc_quality': 0.9916071313465107, 'absD': 4079118345830400000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 4440, 'ainvs': [0, -1, 0, 3699967, 1391051937], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 37], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 177600, 'degree': 13934592, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8350092145714941056163956505', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1367594037332999, 995878502400], 'lmfdb_iso': '177600.p', 'lmfdb_label': '177600.p4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 2312, -21562], 'min_quad_twist_disc': -40, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.8', '40.6.0.c.1', '120.48.0.?', '222.24.0.?', '444.48.0.?', '4440.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.5641352967808655664770545721', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.99056948751452595419016780170', 'prec': 103}, 'szpiro_ratio': 4.714465387730429, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}