Elliptic curve isogeny class data - 4650.w

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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, -4, 1, 1, 0, -4, -1, -2, -4, 0, 1, -2, 1, 4, 0], 'aplist': [1, -1, 0, -4, -4, -2, -2, 4, -4, -2, -1, 6, 10, 4, -8, 6, 8, 10, 12, 0, -14, -8, -4, -6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 4650, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '4650.w', 'trace_hash': 1904631813197232450}
• lmfdb_iso 4650.w 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: 28588
    {'Ciso': '4650z', 'Clabel': '4650z3', 'Cnumber': 3, 'abc_quality': 1.0811017420255853, 'absD': 292207816406250, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3720, 'ainvs': [1, 1, 1, -37838, -2726719], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4650, 'degree': 27648, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5353026020870800087039539986', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 4], 'jinv': [383432500775449, 18701300250], 'lmfdb_iso': '4650.w', 'lmfdb_label': '4650.w1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1514, -21814], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '40.24.0-40.v.1.1', '744.24.0.?', '3720.48.0.?'], '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, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73058364587002982140357433199', 'prec': 103}, 'szpiro_ratio': 5.120040853774603, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 28587
    {'Ciso': '4650z', 'Clabel': '4650z2', 'Cnumber': 2, 'abc_quality': 0.9401776395571105, 'absD': 8446289062500, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3720, 'ainvs': [1, 1, 1, -6588, 148281], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4650, 'degree': 13824, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1887290118071073539953379379', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2], 'jinv': [2023804595449, 540562500], 'lmfdb_iso': '4650.w', 'lmfdb_label': '4650.w2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -264, 1186], 'min_quad_twist_disc': 5, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '40.24.0-40.a.1.4', '744.24.0.?', '1860.24.0.?', '3720.48.0.?'], '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, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.38401005559005716669495827129', 'prec': 103}, 'szpiro_ratio': 4.499032111847456, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 28586
    {'Ciso': '4650z', 'Clabel': '4650z1', 'Cnumber': 1, 'abc_quality': 0.9288659679318033, 'absD': 2906250000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3720, 'ainvs': [1, 1, 1, -6088, 180281], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4650, 'degree': 6912, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.84215542152713469928672187713', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 4], 'jinv': [1597099875769, 186000], 'lmfdb_iso': '4650.w', 'lmfdb_label': '4650.w3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -244, 1442], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '40.24.0-40.bb.1.2', '744.24.0.?', '930.6.0.?', '1860.24.0.?', '3720.48.0.?'], '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': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.037436465310084511986342210517', 'prec': 107}, 'szpiro_ratio': 4.470991806178483, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 28589
    {'Ciso': '4650z', 'Clabel': '4650z4', 'Cnumber': 4, 'abc_quality': 0.9714123101736262, 'absD': 709533691406250, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3720, 'ainvs': [1, 1, 1, 16662, 985281], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4650, 'degree': 27648, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5353026020870800087039539986', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 4], 'jinv': [32740359775271, 45410156250], 'lmfdb_iso': '4650.w', 'lmfdb_label': '4650.w4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 666, 7882], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '40.24.0-40.bb.1.5', '744.24.0.?', '1860.12.0.?', '3720.48.0.?'], '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, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73058364587002982140357433199', 'prec': 103}, 'szpiro_ratio': 4.868230395468373, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}