Elliptic curve isogeny class data - 262080.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, 0, 0, -1, 0, -1, 0, 0, 0, -4, 0, 1, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, -1, -1, -4, 1, -2, 4, 4, 2, 8, 6, -10, -4, 0, -6, -8, -10, -8, -16, 14, 16, -16, -18, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 262080, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '262080.p', 'trace_hash': 2051963268399674985}
• lmfdb_iso 262080.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
  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: 1661576
    {'Ciso': '262080p', 'Clabel': '262080p4', 'Cnumber': 4, 'abc_quality': 0.994037011939468, 'absD': 91695947238604800, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, 0, 0, -51611628, -142714943152], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 262080, 'degree': 15728640, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8628280366817966477710504421', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [79560762543506753209, 479824800], 'lmfdb_iso': '262080.p', 'lmfdb_label': '262080.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -89603, -10361043], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '56.12.0-4.c.1.1', '104.12.0.?', '168.24.0.?', '312.24.0.?', '728.24.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 63], [3, 8, 29120], [5, 6, 52416], [7, 8, 37440], [13, 14, 20160]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2738011215078238379475796415', 'prec': 100}, 'szpiro_ratio': 5.201127671005836, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1661574
    {'Ciso': '262080p', 'Clabel': '262080p2', 'Cnumber': 2, 'abc_quality': 0.95764778961932, 'absD': 9115336766914560000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, 0, 0, -3227628, -2227160752], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 262080, 'degree': 7864320, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5162544464018239930624343814', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2], 'jinv': [19458380202497209, 47698560000], 'lmfdb_iso': '262080.p', 'lmfdb_label': '262080.p2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -5603, -163443], 'min_quad_twist_disc': 24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '56.12.0-2.a.1.1', '104.12.0.?', '168.24.0.?', '312.24.0.?', '364.12.0.?', '728.24.0.?', '1092.24.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 29120], [5, 6, 52416], [7, 8, 37440], [13, 14, 20160]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.92722753122785118323896358075', 'prec': 103}, 'szpiro_ratio': 4.534589639551162, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1661575
    {'Ciso': '262080p', 'Clabel': '262080p3', 'Cnumber': 3, 'abc_quality': 0.9837367724122568, 'absD': 6039458404761600000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, 0, 0, -2029548, -3901118128], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 262080, 'degree': 15728640, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8628280366817966477710504421', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [-4837870546133689, 31603162500000], 'lmfdb_iso': '262080.p', 'lmfdb_label': '262080.p3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -3523, -283667], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '56.12.0-4.c.1.4', '104.12.0.?', '168.24.0.?', '312.24.0.?', '728.24.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 117], [3, 8, 29120], [5, 6, 52416], [7, 8, 37440], [13, 14, 20160]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2738011215078238379475796415', 'prec': 100}, 'szpiro_ratio': 4.624104721373686, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1661573
    {'Ciso': '262080p', 'Clabel': '262080p1', 'Cnumber': 1, 'abc_quality': 0.9797737929026421, 'absD': 1367634410156851200, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, 0, 0, -278508, -5883568], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 262080, 'degree': 3932160, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1696808561218513383538183207', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [12501706118329, 7156531200], 'lmfdb_iso': '262080.p', 'lmfdb_label': '262080.p4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -483, -627], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.3', '56.12.0-4.c.1.2', '104.12.0.?', '168.24.0.?', '312.24.0.?', '546.6.0.?', '728.24.0.?', '1092.12.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 819], [3, 8, 29120], [5, 6, 52416], [7, 8, 37440], [13, 14, 20160]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.58065394094787852853034752005', 'prec': 103}, 'szpiro_ratio': 3.9454641708275098, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}