Elliptic curve isogeny class data - 45.a

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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, 0, -3, 0, -1, 4, 0, -2, 0, 0, -1, -2, 0, 4, 1], 'aplist': [1, 0, -1, 0, 4, -2, -2, 4, 0, 2, 0, -10, -10, 4, -8, 10, 4, -2, 12, 8, 10, 0, -12, 6, 2], 'class_deg': 16, 'class_size': 8, 'conductor': 45, 'isogeny_matrix': [[1, 2, 4, 16, 4, 8, 16, 8], [2, 1, 2, 8, 2, 4, 8, 4], [4, 2, 1, 16, 4, 8, 16, 8], [16, 8, 16, 1, 4, 2, 4, 8], [4, 2, 4, 4, 1, 2, 4, 2], [8, 4, 8, 2, 2, 1, 2, 4], [16, 8, 16, 4, 4, 2, 1, 8], [8, 4, 8, 8, 2, 4, 8, 1]], 'lmfdb_iso': '45.a', 'trace_hash': 804981580358494444}
• lmfdb_iso 45.a does not appear in ec_padic
• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 108
    {'Ciso': '45a', 'Clabel': '45a7', 'Cnumber': 7, 'absD': 295245, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [1, -1, 0, -19440, 1048135], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 45, 'degree': 32, 'elladic_images': ['32.96.0.51'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.84017575281115636767125824276', 'prec': 103}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1114544804970241, 405], 'lmfdb_iso': '45.a', 'lmfdb_label': '45.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -2160, -39540], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '10.6.0.a.1', '12.12.0-4.c.1.1', '16.48.0.x.2', '20.12.0.g.1', '24.48.0-8.bb.2.6', '32.96.0-16.x.2.4', '40.48.0.bj.1', '48.96.0-16.x.2.6', '60.24.0-20.g.1.1', '80.192.1.?', '96.192.1.?', '120.96.0.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29086960847710152197363562430', 'prec': 103}, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 106
    {'Ciso': '45a', 'Clabel': '45a5', 'Cnumber': 5, 'absD': 119574225, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 240, 'ainvs': [1, -1, 0, -1215, 16600], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 45, 'degree': 16, 'elladic_images': ['16.96.0.56'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.49360216253118371296264218203', 'prec': 103}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [272223782641, 164025], 'lmfdb_iso': '45.a', 'lmfdb_label': '45.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -135, -660], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.k.1', '12.24.0-4.b.1.1', '16.96.0-8.k.1.2', '20.24.0.c.1', '24.96.0-8.k.1.1', '40.96.1.cc.2', '48.192.1-48.e.2.4', '60.48.0-20.c.1.3', '80.384.5.?', '120.192.1.?', '240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.055703981802871132734980436431', 'prec': 110}, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 109
    {'Ciso': '45a', 'Clabel': '45a8', 'Cnumber': 8, 'absD': 156905298045, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [1, -1, 0, -990, 22765], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 45, 'degree': 32, 'elladic_images': ['32.96.0.67'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.84017575281115636767125824276', 'prec': 103}, 'faltings_index': 7, 'faltings_ratio': 16, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-147281603041, 215233605], 'lmfdb_iso': '45.a', 'lmfdb_label': '45.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -110, -880], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.ba.2', '12.12.0-4.c.1.1', '16.48.0.u.2', '20.12.0.h.1', '24.48.0-8.ba.2.5', '32.96.0-16.u.2.4', '40.48.0.bm.2', '48.96.0-16.u.2.5', '60.24.0-20.h.1.1', '80.192.5.?', '96.192.1.?', '120.96.0.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29086960847710152197363562430', 'prec': 103}, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 104
    {'Ciso': '45a', 'Clabel': '45a3', 'Cnumber': 3, 'absD': 10935, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [1, -1, 0, -720, -7259], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 45, 'degree': 8, 'elladic_images': ['32.96.0.77'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.14702857225121105825402612130', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [56667352321, 15], 'lmfdb_iso': '45.a', 'lmfdb_label': '45.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -80, 242], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.5', '12.12.0-4.c.1.2', '16.48.0-16.g.1.12', '20.12.0-4.c.1.1', '24.48.0-24.by.2.7', '32.96.0-32.e.1.12', '40.48.0-40.cb.2.9', '48.96.0-48.bs.1.3', '60.24.0-60.h.1.2', '80.192.2.?', '96.192.1.?', '120.96.0.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.40227757208284378744359649716', 'prec': 107}, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 105
    {'Ciso': '45a', 'Clabel': '45a4', 'Cnumber': 4, 'absD': 36905625, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 240, 'ainvs': [1, -1, 0, -90, 175], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 45, 'degree': 8, 'elladic_images': ['8.96.0.87'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.14702857225121105825402612130', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [111284641, 50625], 'lmfdb_iso': '45.a', 'lmfdb_label': '45.a5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -10, -10], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0.b.1', '8.96.0-8.b.2.6', '12.48.0-4.b.1.1', '24.192.1-24.n.1.8', '40.192.1-40.s.1.11', '80.384.5.?', '120.384.5.?', '240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.40227757208284378744359649716', 'prec': 107}, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 103
    {'Ciso': '45a', 'Clabel': '45a2', 'Cnumber': 2, 'absD': 164025, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 240, 'ainvs': [1, -1, 0, -45, -104], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 45, 'degree': 4, 'elladic_images': ['16.96.0.33'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.19954501802876159645458993943', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [13997521, 225], 'lmfdb_iso': '45.a', 'lmfdb_label': '45.a6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -5, 2], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0-8.i.1.6', '12.24.0-4.b.1.3', '16.96.0-16.d.2.4', '20.24.0-4.b.1.2', '24.96.0-24.bb.2.2', '40.96.0-40.bd.1.9', '48.192.1-48.n.1.8', '60.48.0-60.c.1.4', '80.384.5.?', '120.192.1.?', '240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.74885116236281644215221255789', 'prec': 107}, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 102
    {'Ciso': '45a', 'Clabel': '45a1', 'Cnumber': 1, 'absD': 10935, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [1, -1, 0, 0, -5], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 45, 'degree': 2, 'elladic_images': ['32.96.0.31'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.54611860830873425116320600016', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-1, 15], 'lmfdb_iso': '45.a', 'lmfdb_label': '45.a7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 0, 0], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.1', '12.12.0-4.c.1.2', '16.48.0-16.g.1.16', '20.12.0-4.c.1.2', '24.48.0-24.bz.1.7', '30.6.0.a.1', '32.96.0-32.e.1.16', '40.48.0-40.cb.2.13', '48.96.0-48.bv.1.7', '60.24.0-60.g.1.4', '80.192.2.?', '96.192.1.?', '120.96.0.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0954247526427890968608286186', 'prec': 103}, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 107
    {'Ciso': '45a', 'Clabel': '45a6', 'Cnumber': 6, 'absD': 2562890625, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [1, -1, 0, 315, 1066], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 45, 'degree': 16, 'elladic_images': ['8.96.0.172'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.49360216253118371296264218203', 'prec': 103}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [4733169839, 3515625], 'lmfdb_iso': '45.a', 'lmfdb_label': '45.a8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 35, -28], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.96.0-8.n.2.4', '12.24.0-4.d.1.1', '24.192.1-24.cv.2.1', '80.192.1.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.055703981802871132734980436431', 'prec': 110}, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}