Elliptic curve isogeny class data - 281775.bz

Formats: - HTML - YAML - JSON - 2025-01-30T15:49:45.689256

• 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, 1, -1, 0, 1, 0, -3, 1, 0, -4, -1, -1, 0, 0, -1, 0, 1, -4, 0], 'aplist': [1, 1, 0, 0, -4, -1, 0, -4, 8, 2, 8, 6, 6, 4, 8, -6, -12, 2, 4, 0, -6, -16, 4, 10, 18], 'class_deg': 16, 'class_size': 8, 'conductor': 281775, 'isogeny_matrix': [[1, 2, 4, 4, 8, 16, 16, 8], [2, 1, 2, 2, 4, 8, 8, 4], [4, 2, 1, 4, 8, 16, 16, 8], [4, 2, 4, 1, 2, 4, 4, 2], [8, 4, 8, 2, 1, 2, 2, 4], [16, 8, 16, 4, 2, 1, 4, 8], [16, 8, 16, 4, 2, 4, 1, 8], [8, 4, 8, 2, 4, 8, 8, 1]], 'lmfdb_iso': '281775.bz', 'trace_hash': 107483724118849064}
• lmfdb_iso 281775.bz 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: 1779743
    {'Ciso': '281775bz', 'Clabel': '281775bz8', 'Cnumber': 8, 'abc_quality': 1.0411934542658166, 'absD': 9193019443359375, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 106080, 'ainvs': [1, 0, 1, -939250151, -11079574744177], 'analytic_rank': 0, 'bad_primes': [3, 5, 13, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 281775, 'degree': 47185920, 'elladic_images': ['16.24.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4107426960397921143993438491', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 51, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [242970740812818720001, 24375], 'lmfdb_iso': '281775.bz', 'lmfdb_label': '281775.bz1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -130000, -18051943], 'min_quad_twist_disc': 85, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.g.1', '24.24.0.by.1', '48.48.0.bs.2', '104.24.0.?', '156.12.0.?', '160.48.0.?', '208.48.0.?', '312.48.0.?', '340.12.0.?', '416.96.2.?', '480.96.1.?', '544.48.0.?', '624.96.1.?', '680.24.0.?', '1040.96.2.?', '1248.192.5.?', '1360.48.0.?', '1632.96.0.?', '2040.48.0.?', '2080.192.5.?', '2720.96.0.?', '3120.192.5.?', '3536.96.0.?', '4080.96.0.?', '6240.384.13.?', '7072.192.2.?', '8160.192.1.?', '8840.48.0.?', '10608.192.1.?', '13260.24.0.?', '17680.192.2.?', '21216.384.5.?', '26520.96.0.?', '35360.384.5.?', '53040.384.5.?', '106080.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 4, 93925], [5, 18, 11271], [13, 14, 21675], [17, 146, 975]], 'sha': 64, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1894170677946338869741968736', 'prec': 100}, 'szpiro_ratio': 5.864704510911358, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1779741
    {'Ciso': '281775bz', 'Clabel': '281775bz6', 'Cnumber': 6, 'abc_quality': 1.0123408415397925, 'absD': 224079848931884765625, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 53040, 'ainvs': [1, 0, 1, -58703276, -173121150427], 'analytic_rank': 0, 'bad_primes': [3, 5, 13, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 281775, 'degree': 23592960, 'elladic_images': ['8.24.0.23'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0641691057598194596907277883', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 51, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [59319456301170001, 594140625], 'lmfdb_iso': '281775.bz', 'lmfdb_label': '281775.bz2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -8125, -282568], 'min_quad_twist_disc': 85, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.i.1', '24.48.0.bb.1', '80.48.0.?', '104.48.0.?', '156.24.0.?', '208.96.2.?', '240.96.1.?', '272.48.0.?', '312.96.1.?', '340.24.0.?', '624.192.5.?', '680.48.0.?', '816.96.0.?', '1040.192.5.?', '1360.96.0.?', '2040.96.0.?', '3120.384.13.?', '3536.192.2.?', '4080.192.1.?', '8840.96.0.?', '10608.384.5.?', '13260.48.0.?', '17680.384.5.?', '26520.192.1.?', '53040.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 7225], [3, 4, 93925], [5, 18, 11271], [13, 14, 21675], [17, 146, 975]], 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.84284347751466123226558081275', 'prec': 103}, 'szpiro_ratio': 5.201874883486302, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1779742
    {'Ciso': '281775bz', 'Clabel': '281775bz7', 'Cnumber': 7, 'abc_quality': 1.0142537292135114, 'absD': 2244389512538909912109375, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 106080, 'ainvs': [1, 0, 1, -57294401, -181825180177], 'analytic_rank': 0, 'bad_primes': [3, 5, 13, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 281775, 'degree': 47185920, 'elladic_images': ['16.24.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4107426960397921143993438491', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 16, 'iso_nlabel': 51, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-55150149867714721, 5950927734375], 'lmfdb_iso': '281775.bz', 'lmfdb_label': '281775.bz3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -7930, -296725], 'min_quad_twist_disc': 85, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.g.1', '24.24.0.bz.2', '48.48.0.bv.2', '78.6.0.?', '104.24.0.?', '156.12.0.?', '160.48.0.?', '208.96.2.?', '312.48.0.?', '340.12.0.?', '480.96.1.?', '544.48.0.?', '624.192.5.?', '680.24.0.?', '1360.48.0.?', '1632.96.0.?', '2040.48.0.?', '2080.192.5.?', '2720.96.0.?', '4080.96.0.?', '6240.384.13.?', '7072.192.2.?', '8160.192.1.?', '8840.48.0.?', '13260.24.0.?', '17680.192.2.?', '21216.384.5.?', '26520.96.0.?', '35360.384.5.?', '53040.384.5.?', '106080.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 4, 93925], [5, 18, 11271], [13, 14, 21675], [17, 146, 975]], 'sha': 64, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1894170677946338869741968736', 'prec': 100}, 'szpiro_ratio': 5.209691906614044, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1779739
    {'Ciso': '281775bz', 'Clabel': '281775bz4', 'Cnumber': 4, 'abc_quality': 0.9738373897310543, 'absD': 545320720360634765625, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 53040, 'ainvs': [1, 0, 1, -3757151, -2568378427], 'analytic_rank': 0, 'bad_primes': [3, 5, 13, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 281775, 'degree': 11796480, 'elladic_images': ['4.24.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7175955154798468049821117276', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 51, 'isogeny_degrees': [1, 2, 4], 'jinv': [15551989015681, 1445900625], 'lmfdb_iso': '281775.bz', 'lmfdb_label': '281775.bz4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -520, -4225], 'min_quad_twist_disc': 85, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0.b.1', '24.48.0.b.1', '40.48.0.b.2', '104.48.0.?', '120.96.1.?', '136.48.0.?', '208.96.2.?', '312.96.1.?', '340.48.0.?', '408.96.0.?', '520.96.1.?', '624.192.5.?', '680.96.0.?', '1040.192.5.?', '1560.192.5.?', '1768.96.0.?', '2040.192.1.?', '3120.384.13.?', '3536.192.2.?', '5304.192.1.?', '8840.192.1.?', '10608.384.5.?', '17680.384.5.?', '26520.384.5.?', '53040.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 7225], [3, 4, 93925], [5, 18, 11271], [13, 14, 21675], [17, 146, 975]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49626988723468857755696475205', 'prec': 103}, 'szpiro_ratio': 4.54472344852728, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1779737
    {'Ciso': '281775bz', 'Clabel': '281775bz2', 'Cnumber': 2, 'abc_quality': 1.0179337433150557, 'absD': 10454669431766015625, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 53040, 'ainvs': [1, 0, 1, -831026, 246553823], 'analytic_rank': 0, 'bad_primes': [3, 5, 13, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 281775, 'degree': 5898240, 'elladic_images': ['8.24.0.23'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3710219251998741502734956669', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 51, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [168288035761, 27720225], 'lmfdb_iso': '281775.bz', 'lmfdb_label': '281775.bz5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -115, 392], 'min_quad_twist_disc': 85, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.i.1', '40.48.0.bc.2', '48.48.0.d.1', '104.48.0.?', '136.48.0.?', '208.96.2.?', '240.96.1.?', '260.24.0.?', '340.24.0.?', '520.96.1.?', '624.192.5.?', '680.96.0.?', '816.96.0.?', '884.24.0.?', '1040.192.5.?', '1768.96.0.?', '3120.384.13.?', '3536.192.2.?', '4080.192.1.?', '4420.48.0.?', '8840.192.1.?', '10608.384.5.?', '17680.384.5.?', '53040.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 7225], [3, 4, 93925], [5, 18, 11271], [13, 14, 21675], [17, 146, 975]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.14969629695471592284834869135', 'prec': 103}, 'szpiro_ratio': 4.184032094066166, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1779736
    {'Ciso': '281775bz', 'Clabel': '281775bz1', 'Cnumber': 1, 'abc_quality': 0.9386701274898751, 'absD': 1985692199765625, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 106080, 'ainvs': [1, 0, 1, -794901, 272708323], 'analytic_rank': 0, 'bad_primes': [3, 5, 13, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 281775, 'degree': 2949120, 'elladic_images': ['16.24.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0244483349199014955648796062', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 51, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [147281603041, 5265], 'lmfdb_iso': '281775.bz', 'lmfdb_label': '281775.bz6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -110, 435], 'min_quad_twist_disc': 85, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.g.1', '40.24.0.cb.2', '80.48.0.?', '96.48.0.?', '104.24.0.?', '130.6.0.?', '136.24.0.?', '208.48.0.?', '260.12.0.?', '272.48.0.?', '340.12.0.?', '416.96.2.?', '480.96.1.?', '520.48.0.?', '624.96.2.?', '680.48.0.?', '884.12.0.?', '1040.96.1.?', '1248.192.5.?', '1360.96.0.?', '1632.96.0.?', '1768.48.0.?', '2080.192.5.?', '3120.192.5.?', '3536.96.0.?', '4420.24.0.?', '6240.384.13.?', '7072.192.2.?', '8160.192.1.?', '8840.96.0.?', '10608.192.2.?', '17680.192.1.?', '21216.384.5.?', '35360.384.5.?', '53040.384.5.?', '106080.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 93925], [3, 4, 93925], [5, 18, 11271], [13, 14, 21675], [17, 146, 975]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.19687729332525673186026736935', 'prec': 107}, 'szpiro_ratio': 4.173407181162432, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1779738
    {'Ciso': '281775bz', 'Clabel': '281775bz3', 'Cnumber': 3, 'abc_quality': 1.0535292066299595, 'absD': 1055278248335643515625, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 106080, 'ainvs': [1, 0, 1, 1517099, 1387742573], 'analytic_rank': 0, 'bad_primes': [3, 5, 13, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 281775, 'degree': 11796480, 'elladic_images': ['16.24.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7175955154798468049821117276', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 51, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1023887723039, 2798036865], 'lmfdb_iso': '281775.bz', 'lmfdb_label': '281775.bz7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 210, 2277], 'min_quad_twist_disc': 85, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.g.1', '40.24.0.ca.1', '80.48.0.?', '96.48.0.?', '104.24.0.?', '136.24.0.?', '208.96.2.?', '260.12.0.?', '272.48.0.?', '340.12.0.?', '480.96.1.?', '520.48.0.?', '680.48.0.?', '884.12.0.?', '1040.192.5.?', '1248.192.5.?', '1360.96.0.?', '1632.96.0.?', '1768.48.0.?', '3536.192.2.?', '4420.24.0.?', '6240.384.13.?', '8160.192.1.?', '8840.96.0.?', '17680.384.5.?', '21216.384.5.?', '106080.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 93925], [3, 4, 93925], [5, 18, 11271], [13, 14, 21675], [17, 146, 975]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49626988723468857755696475205', 'prec': 103}, 'szpiro_ratio': 4.4326602833094375, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1779740
    {'Ciso': '281775bz', 'Clabel': '281775bz5', 'Cnumber': 5, 'abc_quality': 1.0149811194984983, 'absD': 69221800418755953515625, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 106080, 'ainvs': [1, 0, 1, 4370974, -12159565927], 'analytic_rank': 0, 'bad_primes': [3, 5, 13, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 281775, 'degree': 23592960, 'elladic_images': ['8.24.0.67'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0641691057598194596907277883', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 51, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [24487529386319, 183539412225], 'lmfdb_iso': '281775.bz', 'lmfdb_label': '281775.bz8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 605, -19750], 'min_quad_twist_disc': 85, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.24.0.q.1', '24.48.0.be.2', '40.48.0.bf.1', '120.96.1.?', '136.48.0.?', '208.48.0.?', '340.24.0.?', '408.96.0.?', '416.96.2.?', '624.96.1.?', '680.96.0.?', '1040.96.1.?', '1248.192.5.?', '2040.192.1.?', '2080.192.5.?', '3120.192.5.?', '3536.96.0.?', '6240.384.13.?', '7072.192.2.?', '10608.192.1.?', '17680.192.1.?', '21216.384.5.?', '35360.384.5.?', '53040.384.5.?', '106080.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 7225], [3, 4, 93925], [5, 18, 11271], [13, 14, 21675], [17, 146, 975]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.84284347751466123226558081275', 'prec': 103}, 'szpiro_ratio': 4.77859738696532, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}