Elliptic curve isogeny class data - 177450.bn

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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, 0, 1, 1, -1, 1, 0, -6, -1, 0, -1, 0, 1, 0, -1, -8, 0], 'aplist': [-1, -1, 0, 1, -6, 0, 0, -8, 0, -6, -2, 2, 0, 10, -12, -12, 0, 2, -4, 0, 2, 8, -12, 0, 14], 'class_deg': 6, 'class_size': 4, 'conductor': 177450, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '177450.bn', 'trace_hash': 1192322753312942582}
• lmfdb_iso 177450.bn 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: 1143956
    {'Ciso': '177450ir', 'Clabel': '177450ir3', 'Cnumber': 3, 'abc_quality': 0.9876533568380934, 'absD': 584573027936625000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 10920, 'ainvs': [1, 1, 0, -217475625, -1234513042875], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 177450, 'degree': 41803776, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3168230748620778262659168738', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 39, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [15082569606665230489, 7751016000], 'lmfdb_iso': '177450.bn', 'lmfdb_label': '177450.bn1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -51474, -4499228], 'min_quad_twist_disc': 65, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0-6.a.1.3', '56.6.0.c.1', '130.6.0.?', '168.48.0.?', '195.8.0.?', '390.48.0.?', '3640.12.0.?', '10920.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '12.332624020589890564381764741', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 4225], [3, 4, 29575], [5, 18, 7098], [7, 8, 25350], [13, 98, 1050]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2296294399142592709387934864', 'prec': 100}, 'szpiro_ratio': 5.7259516640727846, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1143957
    {'Ciso': '177450ir', 'Clabel': '177450ir4', 'Cnumber': 4, 'abc_quality': 0.9880308093217611, 'absD': 25800809110247513671875000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 10920, 'ainvs': [1, 1, 0, -216292625, -1248606121875], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 177450, 'degree': 83607552, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6633966651420504809745329345', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 39, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-14837772556740428569, 342100087875000], 'lmfdb_iso': '177450.bn', 'lmfdb_label': '177450.bn2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -51194, -4550524], 'min_quad_twist_disc': 65, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.5', '56.6.0.b.1', '168.48.0.?', '195.8.0.?', '260.6.0.?', '390.24.0.?', '780.48.0.?', '3640.12.0.?', '10920.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '49.330496082359562257527058964', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 29575], [3, 4, 29575], [5, 18, 7098], [7, 8, 25350], [13, 98, 1050]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5762030301942319256474095471', 'prec': 100}, 'szpiro_ratio': 5.727830133993497, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1143954
    {'Ciso': '177450ir', 'Clabel': '177450ir1', 'Cnumber': 1, 'abc_quality': 0.9442546674514717, 'absD': 1681780281747674062500, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 10920, 'ainvs': [1, 1, 0, -3204750, -992880000], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 177450, 'degree': 13934592, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7675169305280229805682942553', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 39, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [48264326765929, 22299191460], 'lmfdb_iso': '177450.bn', 'lmfdb_label': '177450.bn3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -759, -3674], 'min_quad_twist_disc': 65, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0-6.a.1.1', '56.6.0.c.1', '130.6.0.?', '168.48.0.?', '195.8.0.?', '390.48.0.?', '3640.12.0.?', '10920.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 27, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.3702915578433211738201960823', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 4225], [3, 4, 8450], [5, 18, 7098], [7, 8, 25350], [13, 98, 1050]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.68032329558020442524117086791', 'prec': 103}, 'szpiro_ratio': 4.679129503032702, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1143955
    {'Ciso': '177450ir', 'Clabel': '177450ir2', 'Cnumber': 2, 'abc_quality': 0.9691865210934582, 'absD': 116167869753080955468750, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 10920, 'ainvs': [1, 1, 0, 11287000, -7470692250], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 177450, 'degree': 27869184, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1140905208079956352769103161', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 39, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2108526614950391, 1540302022350], 'lmfdb_iso': '177450.bn', 'lmfdb_label': '177450.bn4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 2671, -26998], 'min_quad_twist_disc': 65, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.11', '56.6.0.b.1', '168.48.0.?', '195.8.0.?', '260.6.0.?', '390.24.0.?', '780.48.0.?', '3640.12.0.?', '10920.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 14, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '5.4811662313732846952807843293', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 29575], [3, 4, 8450], [5, 18, 7098], [7, 8, 25350], [13, 98, 1050]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0268968858601770799497869287', 'prec': 100}, 'szpiro_ratio': 4.991632662349059, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}