Elliptic curve isogeny class data - 29040.bm

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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, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, -1, 0, -2, 0, -4, 0], 'aplist': [0, -1, 1, 0, 0, 2, -2, -4, 0, 2, 0, -2, -2, -12, -8, 6, 12, -6, -4, 0, 6, -16, 4, 10, 2], 'class_deg': 8, 'class_size': 6, 'conductor': 29040, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '29040.bm', 'trace_hash': 1816274831140365232}
• lmfdb_iso 29040.bm 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: 193272
    {'Ciso': '29040co', 'Clabel': '29040co6', 'Cnumber': 6, 'abc_quality': 1.0074430799323078, 'absD': 2057845257600000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [0, -1, 0, -7521400, -7936748048], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 29040, 'degree': 737280, 'elladic_images': ['8.24.0.93'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5921834574415342141343985606', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [6484907238722641, 283593750], 'lmfdb_iso': '29040.bm', 'lmfdb_label': '29040.bm1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -3885, -93525], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.5', '24.48.0-24.bj.1.12', '44.12.0-4.c.1.2', '80.48.0.?', '88.48.0.?', '240.96.0.?', '264.96.0.?', '880.96.0.?', '2640.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 363], [3, 4, 9680], [5, 6, 5808], [11, 72, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.70008864048240363268619465016', 'prec': 103}, 'szpiro_ratio': 5.752327877185946, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 193270
    {'Ciso': '29040co', 'Clabel': '29040co4', 'Cnumber': 4, 'abc_quality': 0.990076389601979, 'absD': 10473908546027520, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [0, -1, 0, -2274840, 1321358832], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 29040, 'degree': 368640, 'elladic_images': ['8.24.0.94'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2456098671615615594257824998', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [179415687049201, 1443420], 'lmfdb_iso': '29040.bm', 'lmfdb_label': '29040.bm2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1175, 15405], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.3', '20.12.0-4.c.1.2', '40.48.0-40.cb.1.5', '44.12.0-4.c.1.1', '48.48.0-48.h.1.25', '88.48.0.?', '220.24.0.?', '240.96.0.?', '440.96.0.?', '528.96.0.?', '2640.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 605], [3, 4, 9680], [5, 6, 5808], [11, 72, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.35351505020243097797757858936', 'prec': 103}, 'szpiro_ratio': 5.40322535904293, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 193269
    {'Ciso': '29040co', 'Clabel': '29040co3', 'Cnumber': 3, 'abc_quality': 0.9688781293995236, 'absD': 2390393051228160000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1320, 'ainvs': [0, -1, 0, -493720, -110723600], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 29040, 'degree': 368640, 'elladic_images': ['8.24.0.14'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2456098671615615594257824998', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 4], 'jinv': [1834216913521, 329422500], 'lmfdb_iso': '29040.bm', 'lmfdb_label': '29040.bm3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -255, -1323], 'min_quad_twist_disc': 44, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.10', '24.48.0-24.e.1.6', '40.48.0-40.i.1.8', '44.24.0-4.b.1.3', '88.48.0.?', '120.96.0.?', '264.96.0.?', '440.96.0.?', '1320.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 121], [3, 4, 9680], [5, 6, 5808], [11, 72, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.35351505020243097797757858936', 'prec': 103}, 'szpiro_ratio': 4.9572448011942685, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 193268
    {'Ciso': '29040co', 'Clabel': '29040co2', 'Cnumber': 2, 'abc_quality': 0.9379136566213516, 'absD': 28447652841062400, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1320, 'ainvs': [0, -1, 0, -145240, 19747312], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 29040, 'degree': 184320, 'elladic_images': ['8.24.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8990362768815889047171664391', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 4], 'jinv': [46694890801, 3920400], 'lmfdb_iso': '29040.bm', 'lmfdb_label': '29040.bm4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -75, 225], 'min_quad_twist_disc': 44, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.8', '20.24.0-4.b.1.2', '24.48.0-24.l.1.4', '40.48.0-40.i.2.29', '44.24.0-4.b.1.1', '88.48.0.?', '120.96.0.?', '220.48.0.?', '264.96.0.?', '440.96.0.?', '1320.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 121], [3, 4, 9680], [5, 6, 5808], [11, 72, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.0069414599224583232689625286600', 'prec': 110}, 'szpiro_ratio': 4.600045038730565, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 193267
    {'Ciso': '29040co', 'Clabel': '29040co1', 'Cnumber': 1, 'abc_quality': 0.921271538093497, 'absD': 919520091832320, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [0, -1, 0, 9640, 1409520], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 29040, 'degree': 92160, 'elladic_images': ['16.24.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5524626866016162500085503784', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [13651919, 126720], 'lmfdb_iso': '29040.bm', 'lmfdb_label': '29040.bm5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 5, 17], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0-8.n.1.4', '20.12.0-4.c.1.1', '24.24.0-8.n.1.4', '40.24.0-8.n.1.10', '44.12.0-4.c.1.1', '48.48.0-48.h.1.21', '80.48.0.?', '88.24.0.?', '110.6.0.?', '120.48.0.?', '176.48.0.?', '220.24.0.?', '240.96.0.?', '264.48.0.?', '440.48.0.?', '528.96.0.?', '880.96.0.?', '1320.96.0.?', '2640.192.1.?'], '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, 605], [3, 4, 9680], [5, 6, 5808], [11, 72, 240]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33963213035751433143965353204', 'prec': 107}, 'szpiro_ratio': 4.071960927618201, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 193271
    {'Ciso': '29040co', 'Clabel': '29040co5', 'Cnumber': 5, 'abc_quality': 1.0027749166866642, 'absD': 233318297753543270400, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [0, -1, 0, 958280, -640413200], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 29040, 'degree': 737280, 'elladic_images': ['16.24.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5921834574415342141343985606', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [13411719834479, 32153832150], 'lmfdb_iso': '29040.bm', 'lmfdb_label': '29040.bm6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 495, -7473], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0-8.n.1.2', '24.24.0.bn.1', '40.24.0.cb.2', '44.12.0-4.c.1.2', '48.48.0-24.bn.1.2', '80.48.0.?', '88.24.0.?', '120.48.0.?', '176.48.0.?', '240.96.0.?', '264.48.0.?', '440.48.0.?', '528.96.0.?', '880.96.0.?', '1320.96.0.?', '2640.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 363], [3, 4, 9680], [5, 6, 5808], [11, 72, 240]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.70008864048240363268619465016', 'prec': 103}, 'szpiro_ratio': 5.262274819296807, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}