Elliptic curve isogeny class data - 1170.k

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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, 0, 1, -1, 0, 2, 1, 0, -1, 0, 0, 1, 2, 0, 1, 0, 0, 2, -1], 'aplist': [1, 0, -1, 2, 0, 1, 0, 2, 6, 0, 8, 2, -6, -4, 0, 6, 0, 14, -4, 0, -4, -16, 12, 6, -4], 'class_deg': 6, 'class_size': 4, 'conductor': 1170, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '1170.k', 'trace_hash': 260196584357968997}
• lmfdb_iso 1170.k 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: 6195
    {'Ciso': '1170k', 'Clabel': '1170k4', 'Cnumber': 4, 'abc_quality': 1.0563591940391528, 'absD': 420276502817832960, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1560, 'ainvs': [1, -1, 1, -7853198, 8472578717], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 1170, 'degree': 34560, 'elladic_images': ['2.3.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5546921979149961504108415363', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [73474353581350183614361, 576510977802240], 'lmfdb_iso': '1170.k', 'lmfdb_label': '1170.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -872578, -313799212], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '6.24.0-6.a.1.4', '40.6.0.b.1', '120.48.0.?', '156.48.0.?', '1560.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 45], [3, 6, 5], [5, 6, 117], [13, 14, 90]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0053860535809413047132189178', 'prec': 100}, 'szpiro_ratio': 8.385692543268975, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
  • id: 6194
    {'Ciso': '1170k', 'Clabel': '1170k3', 'Cnumber': 3, 'abc_quality': 1.0346538273212997, 'absD': 1160810233174425600, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1560, 'ainvs': [1, -1, 1, -480398, 138365597], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 1170, 'degree': 17280, 'elladic_images': ['2.3.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2081186076350234957022254756', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-16818951115904497561, 1592332281446400], 'lmfdb_iso': '1170.k', 'lmfdb_label': '1170.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -53378, -5124652], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '6.24.0-6.a.1.4', '40.6.0.c.1', '78.48.0.?', '120.48.0.?', '1560.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 117], [3, 6, 5], [5, 6, 117], [13, 14, 90]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6588124633009686500046028571', 'prec': 100}, 'szpiro_ratio': 7.220660832443804, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
  • id: 6193
    {'Ciso': '1170k', 'Clabel': '1170k2', 'Cnumber': 2, 'abc_quality': 1.11183271776232, 'absD': 190922366661156000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1560, 'ainvs': [1, -1, 1, -144023, -755953], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 1170, 'degree': 11520, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0053860535809413047132189178', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [453198971846635561, 261896250564000], 'lmfdb_iso': '1170.k', 'lmfdb_label': '1170.k3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -16003, 27998], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '40.6.0.b.1', '120.48.0.?', '156.48.0.?', '1560.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 45], [3, 2, 26], [5, 6, 117], [13, 14, 90]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4560799092468864590155962993', 'prec': 100}, 'szpiro_ratio': 6.687670619982308, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 6192
    {'Ciso': '1170k', 'Clabel': '1170k1', 'Cnumber': 1, 'abc_quality': 1.102611128088335, 'absD': 2984572656000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1560, 'ainvs': [1, -1, 1, 35977, -107953], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 1170, 'degree': 5760, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6588124633009686500046028571', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [7064514799444439, 4094064000000], 'lmfdb_iso': '1170.k', 'lmfdb_label': '1170.k4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 3997, 3998], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '40.6.0.c.1', '78.48.0.?', '120.48.0.?', '1560.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 117], [3, 2, 26], [5, 6, 117], [13, 14, 90]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1095063189669138043069802386', 'prec': 100}, 'szpiro_ratio': 6.098655919409501, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}