Elliptic curve isogeny class data - 19074.x

Formats: - HTML - YAML - JSON - 2025-10-05T14:12:37.393638

• 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, 4, -1, 2, 1, 1, 4, -1, -1, 4, 2, -4, 1, 0, 1, 0, 4], 'aplist': [1, -1, 4, 2, -1, 4, 0, 0, 6, -10, 8, 2, -2, 4, -2, 4, 0, 8, -12, -2, 6, -10, 4, 10, 2], 'class_deg': 10, 'class_size': 4, 'conductor': 19074, 'isogeny_matrix': [[1, 2, 5, 10], [2, 1, 10, 5], [5, 10, 1, 2], [10, 5, 2, 1]], 'lmfdb_iso': '19074.x', 'trace_hash': 1319247824146897563}
• lmfdb_iso 19074.x 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: 126252
    {'Ciso': '19074p', 'Clabel': '19074p3', 'Cnumber': 3, 'abc_quality': 1.0637869122465706, 'absD': 46648555500228, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 22440, 'ainvs': [1, 1, 1, -2908791, -1910699799], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 19074, 'degree': 512000, 'elladic_images': ['8.6.0.4', '5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1644599384246556982400429630', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 5, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [112763292123580561, 1932612], 'lmfdb_iso': '19074.x', 'lmfdb_label': '19074.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -10065, -389499], 'min_quad_twist_disc': 17, 'modell_images': ['2B', '5B.4.2'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.2', '8.6.0.d.1', '10.36.0.a.1', '40.72.1.t.1', '66.6.0.a.1', '85.24.0.?', '170.72.0.?', '264.12.0.?', '330.72.1.?', '680.144.1.?', '1320.144.5.?', '5610.144.1.?', '22440.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 9537], [3, 4, 6358], [5, 2, 1734], [11, 12, 1734], [17, 146, 66]], 'sha': 25, 'sha_primes': [5], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.74785326639654765811527565406', 'prec': 103}, 'szpiro_ratio': 5.708490511134191, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 126253
    {'Ciso': '19074p', 'Clabel': '19074p4', 'Cnumber': 4, 'abc_quality': 1.0638684203296611, 'absD': 11269194767800829442, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 22440, 'ainvs': [1, 1, 1, -2905901, -1914682219], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 19074, 'degree': 1024000, 'elladic_images': ['8.6.0.5', '5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5110335287046283529486590238', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 10, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [-112427521449300721, 466873642818], 'lmfdb_iso': '19074.x', 'lmfdb_label': '19074.x2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -10055, -390309], 'min_quad_twist_disc': 17, 'modell_images': ['2B', '5B.4.2'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.2', '8.6.0.a.1', '10.36.0.a.1', '40.72.1.c.2', '85.24.0.?', '132.6.0.?', '170.72.0.?', '264.12.0.?', '660.72.1.?', '680.144.1.?', '1320.144.5.?', '11220.144.1.?', '22440.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 289], [3, 4, 6358], [5, 2, 1734], [11, 12, 1734], [17, 146, 66]], 'sha': 25, 'sha_primes': [5], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0944268566765203128238917149', 'prec': 100}, 'szpiro_ratio': 5.708913405083815, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 126250
    {'Ciso': '19074p', 'Clabel': '19074p1', 'Cnumber': 1, 'abc_quality': 1.073399617726021, 'absD': 66068195263488, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 22440, 'ainvs': [1, 1, 1, -13011, 410961], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 19074, 'degree': 102400, 'elladic_images': ['8.6.0.4', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3597409822076055109396632964', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [10091699281, 2737152], 'lmfdb_iso': '19074.x', 'lmfdb_label': '19074.x3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -45, 81], 'min_quad_twist_disc': 17, 'modell_images': ['2B', '5B.4.1'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.1', '8.6.0.d.1', '10.36.0.a.2', '40.72.1.t.2', '66.6.0.a.1', '85.24.0.?', '170.72.0.?', '264.12.0.?', '330.72.1.?', '680.144.1.?', '1320.144.5.?', '5610.144.1.?', '22440.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 9537], [3, 4, 6358], [5, 2, 3179], [11, 12, 1734], [17, 146, 66]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.056865689820502529185104012537', 'prec': 110}, 'szpiro_ratio': 4.061883966526231, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 126251
    {'Ciso': '19074p', 'Clabel': '19074p2', 'Cnumber': 2, 'abc_quality': 1.1002106061618209, 'absD': 5518758935603232, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 22440, 'ainvs': [1, 1, 1, 33229, 2722961], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 19074, 'degree': 204800, 'elladic_images': ['8.6.0.5', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7063145724875781656482793571', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [168105213359, 228637728], 'lmfdb_iso': '19074.x', 'lmfdb_label': '19074.x4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 115, 561], 'min_quad_twist_disc': 17, 'modell_images': ['2B', '5B.4.1'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.1', '8.6.0.a.1', '10.36.0.a.2', '40.72.1.c.1', '85.24.0.?', '132.6.0.?', '170.72.0.?', '264.12.0.?', '660.72.1.?', '680.144.1.?', '1320.144.5.?', '11220.144.1.?', '22440.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 289], [3, 4, 6358], [5, 2, 3179], [11, 12, 1734], [17, 146, 66]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.28970790045947012552351204816', 'prec': 103}, 'szpiro_ratio': 4.377745004864734, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}