Elliptic curve isogeny class data - 330330.fj

Formats: - HTML - YAML - JSON - 2025-10-05T04:23:16.493384

• 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, -1, 1, 1, -1, 0, 1, -1, -1, -1, 1, 0, 1, -8, -1], 'aplist': [1, 1, -1, -1, 0, -1, 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': 330330, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '330330.fj', 'trace_hash': 237394939969217429}
• lmfdb_iso 330330.fj 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: 2069796
    {'Ciso': '330330fj', 'Clabel': '330330fj3', 'Cnumber': 3, 'abc_quality': 0.9876533568380934, 'absD': 13731397655976000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 120120, 'ainvs': [1, 0, 0, -6228296, 5982243840], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 330330, 'degree': 11197440, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4285770763134445429697652754', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 139, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [15082569606665230489, 7751016000], 'lmfdb_iso': '330330.fj', 'lmfdb_label': '330330.fj1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -51474, -4499228], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '33.8.0-3.a.1.1', '56.6.0.c.1', '66.24.0-6.a.1.1', '130.6.0.?', '168.24.0.?', '390.24.0.?', '1848.48.0.?', '3640.12.0.?', '4290.48.0.?', '10920.48.1.?', '120120.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 7865], [3, 4, 847], [5, 6, 66066], [7, 8, 47190], [11, 62, 2730], [13, 14, 25410]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2296294399142592709387934864', 'prec': 100}, 'szpiro_ratio': 4.607188067229661, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2069797
    {'Ciso': '330330fj', 'Clabel': '330330fj4', 'Cnumber': 4, 'abc_quality': 0.9880308093217611, 'absD': 606051173775922875000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 120120, 'ainvs': [1, 0, 0, -6194416, 6050552696], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 330330, 'degree': 22394880, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7751506665934171976783813361', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 139, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-14837772556740428569, 342100087875000], 'lmfdb_iso': '330330.fj', 'lmfdb_label': '330330.fj2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -51194, -4550524], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '33.8.0-3.a.1.1', '56.6.0.b.1', '66.24.0-6.a.1.1', '168.24.0.?', '260.6.0.?', '780.24.0.?', '1848.48.0.?', '3640.12.0.?', '8580.48.0.?', '10920.48.1.?', '120120.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 847], [3, 4, 847], [5, 6, 66066], [7, 8, 47190], [11, 62, 2730], [13, 14, 25410]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5762030301942319256474095471', 'prec': 100}, 'szpiro_ratio': 4.608974681518007, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2069794
    {'Ciso': '330330fj', 'Clabel': '330330fj1', 'Cnumber': 1, 'abc_quality': 0.9442546674514717, 'absD': 39504377922069060, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 120120, 'ainvs': [1, 0, 0, -91781, 4797981], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 330330, 'degree': 3732480, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8792709319793896972721426569', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 139, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [48264326765929, 22299191460], 'lmfdb_iso': '330330.fj', 'lmfdb_label': '330330.fj3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -759, -3674], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '33.8.0-3.a.1.2', '56.6.0.c.1', '66.24.0-6.a.1.2', '130.6.0.?', '168.24.0.?', '390.24.0.?', '1848.48.0.?', '3640.12.0.?', '4290.48.0.?', '10920.48.1.?', '120120.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 7865], [3, 4, 15730], [5, 6, 66066], [7, 8, 47190], [11, 62, 2730], [13, 14, 25410]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.68032329558020442524117086792', 'prec': 103}, 'szpiro_ratio': 3.611554647897153, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2069795
    {'Ciso': '330330fj', 'Clabel': '330330fj2', 'Cnumber': 2, 'abc_quality': 0.9691865210934582, 'absD': 2728738991016388350, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 120120, 'ainvs': [1, 0, 0, 323249, 36257255], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 330330, 'degree': 7464960, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2258445222593623519807587177', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 139, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2108526614950391, 1540302022350], 'lmfdb_iso': '330330.fj', 'lmfdb_label': '330330.fj4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 2671, -26998], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '33.8.0-3.a.1.2', '56.6.0.b.1', '66.24.0-6.a.1.2', '168.24.0.?', '260.6.0.?', '780.24.0.?', '1848.48.0.?', '3640.12.0.?', '8580.48.0.?', '10920.48.1.?', '120120.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 847], [3, 4, 15730], [5, 6, 66066], [7, 8, 47190], [11, 62, 2730], [13, 14, 25410]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0268968858601770799497869287', 'prec': 100}, 'szpiro_ratio': 3.908776660042197, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}