Elliptic curve isogeny class data - 510.e

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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, -1, 1, 1, -1, 0, 1, 1, 1, 4, -1, -2, 0, -1, 1, 1, 1, 4, 1], 'aplist': [1, -1, 1, 0, 4, -2, 1, 4, 0, -2, 8, 6, -6, -4, 0, -10, -4, -2, 4, 0, -6, 8, -12, -6, -14], 'class_deg': 16, 'class_size': 8, 'conductor': 510, 'isogeny_matrix': [[1, 16, 2, 4, 8, 16, 8, 4], [16, 1, 8, 4, 2, 4, 8, 16], [2, 8, 1, 2, 4, 8, 4, 2], [4, 4, 2, 1, 2, 4, 2, 4], [8, 2, 4, 2, 1, 2, 4, 8], [16, 4, 8, 4, 2, 1, 8, 16], [8, 8, 4, 2, 4, 8, 1, 8], [4, 16, 2, 4, 8, 16, 8, 1]], 'lmfdb_iso': '510.e', 'trace_hash': 540386193321005513}
• lmfdb_iso 510.e 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 2274
    {'Ciso': '510e', 'Clabel': '510e7', 'Cnumber': 7, 'abc_quality': 1.0337884894740492, 'absD': 914742821250, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 8160, 'ainvs': [1, 1, 1, -113470, -14759143], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 510, 'degree': 2048, 'elladic_images': ['16.96.0.144'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4867398769131366448916550092', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [161572377633716256481, 914742821250], 'lmfdb_iso': '510.e', 'lmfdb_label': '510.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -113470, -14759143], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.48.0-8.bb.1.3', '16.96.0-16.x.1.1', '136.96.0.?', '272.192.1.?', '480.192.1.?', '1360.384.5.?', '1632.384.5.?', '8160.768.13.?'], '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': True, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4867398769131366448916550092', 'prec': 100}, 'szpiro_ratio': 7.463654052007206, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2271
    {'Ciso': '510e', 'Clabel': '510e4', 'Cnumber': 4, 'abc_quality': 1.0170027108062862, 'absD': 4080, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 8160, 'ainvs': [1, 1, 1, -21760, 1226417], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 510, 'degree': 512, 'elladic_images': ['32.96.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.79359269635319133547442288770', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1139466686381936641, 4080], 'lmfdb_iso': '510.e', 'lmfdb_label': '510.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -21760, 1226417], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.n.1.2', '16.48.0-16.g.1.2', '32.96.0-32.e.2.3', '120.48.0.?', '136.48.0.?', '240.96.0.?', '272.96.0.?', '480.192.1.?', '544.192.1.?', '816.192.2.?', '1020.24.0.?', '1360.192.2.?', '1632.384.5.?', '2040.96.0.?', '2720.384.5.?', '4080.384.5.?', '8160.768.13.?'], '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': True, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.79359269635319133547442288770', 'prec': 103}, 'szpiro_ratio': 6.6689690232245304, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 2272
    {'Ciso': '510e', 'Clabel': '510e5', 'Cnumber': 5, 'abc_quality': 1.0054946838642063, 'absD': 2962701562500, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 4080, 'ainvs': [1, 1, 1, -7220, -224143], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 510, 'degree': 1024, 'elladic_images': ['8.96.0.51'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1401662866331639901830389484', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [41623544884956481, 2962701562500], 'lmfdb_iso': '510.e', 'lmfdb_label': '510.e3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -7220, -224143], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.1', '8.96.0-8.k.2.2', '136.192.1.?', '240.192.1.?', '816.384.5.?', '1360.384.5.?', '4080.768.13.?'], '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': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1401662866331639901830389484', 'prec': 100}, 'szpiro_ratio': 6.138100947860162, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2270
    {'Ciso': '510e', 'Clabel': '510e3', 'Cnumber': 3, 'abc_quality': 1.0677360670200853, 'absD': 67652010000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 4080, 'ainvs': [1, 1, 1, -1440, 16305], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 510, 'degree': 512, 'elladic_images': ['8.96.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.79359269635319133547442288770', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [330240275458561, 67652010000], 'lmfdb_iso': '510.e', 'lmfdb_label': '510.e4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1440, 16305], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.48.0-4.b.1.1', '8.96.0-8.b.1.11', '120.192.1.?', '136.192.1.?', '816.384.5.?', '1360.384.5.?', '2040.384.5.?', '4080.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.79359269635319133547442288770', 'prec': 103}, 'szpiro_ratio': 5.362309780936914, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4]}
  • id: 2269
    {'Ciso': '510e', 'Clabel': '510e2', 'Cnumber': 2, 'abc_quality': 0.9796429838987872, 'absD': 16646400, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 4080, 'ainvs': [1, 1, 1, -1360, 18737], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 510, 'degree': 256, 'elladic_images': ['16.96.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.44701910607321868076580682697', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [278202094583041, 16646400], 'lmfdb_iso': '510.e', 'lmfdb_label': '510.e5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1360, 18737], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.3', '8.48.0-8.i.1.10', '16.96.0-16.d.1.10', '120.96.0.?', '136.96.0.?', '240.192.1.?', '272.192.1.?', '816.384.5.?', '1020.48.0.?', '1360.384.5.?', '2040.192.1.?', '4080.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.44701910607321868076580682697', 'prec': 103}, 'szpiro_ratio': 5.334805547417949, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4]}
  • id: 2268
    {'Ciso': '510e', 'Clabel': '510e1', 'Cnumber': 1, 'abc_quality': 1.0017576460079456, 'absD': 16711680, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 8160, 'ainvs': [1, 1, 1, -80, 305], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 510, 'degree': 128, 'elladic_images': ['32.96.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.10044551579324602605719076625', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-56667352321, 16711680], 'lmfdb_iso': '510.e', 'lmfdb_label': '510.e6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -80, 305], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.n.1.2', '16.48.0-16.g.1.2', '32.96.0-32.e.2.3', '120.48.0.?', '136.48.0.?', '240.96.0.?', '272.96.0.?', '480.192.1.?', '510.6.0.?', '544.192.1.?', '816.192.2.?', '1020.24.0.?', '1360.192.2.?', '1632.384.5.?', '2040.96.0.?', '2720.384.5.?', '4080.384.5.?', '8160.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.10044551579324602605719076625', 'prec': 103}, 'szpiro_ratio': 4.037640617535353, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 2273
    {'Ciso': '510e', 'Clabel': '510e6', 'Cnumber': 6, 'abc_quality': 1.0137929987603158, 'absD': 6278181696900, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 8160, 'ainvs': [1, 1, 1, 3060, 102705], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 510, 'degree': 1024, 'elladic_images': ['8.96.0.100'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1401662866331639901830389484', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [3168685387909439, 6278181696900], 'lmfdb_iso': '510.e', 'lmfdb_label': '510.e7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 3060, 102705], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.24.0-4.d.1.1', '8.96.0-8.n.1.6', '60.48.0-60.h.1.2', '120.192.1.?', '272.192.1.?', '1632.384.5.?', '2720.384.5.?', '4080.384.5.?', '8160.768.13.?'], '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': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1401662866331639901830389484', 'prec': 100}, 'szpiro_ratio': 5.8670176204086, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 2275
    {'Ciso': '510e', 'Clabel': '510e8', 'Cnumber': 8, 'abc_quality': 1.042914731101016, 'absD': 420227050781250, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 8160, 'ainvs': [1, 1, 1, 6550, -962215], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 510, 'degree': 2048, 'elladic_images': ['16.96.0.139'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4867398769131366448916550092', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 16, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [31077313442863199, 420227050781250], 'lmfdb_iso': '510.e', 'lmfdb_label': '510.e8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 6550, -962215], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.48.0-8.ba.1.1', '16.96.0-16.u.1.2', '136.96.0.?', '272.192.1.?', '480.192.1.?', '816.384.5.?', '2720.384.5.?', '8160.768.13.?'], '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': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4867398769131366448916550092', 'prec': 100}, 'szpiro_ratio': 6.589683933150093, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}