Elliptic curve data - 9360.cb4

Formats: - HTML - YAML - JSON - 2025-09-28T16:38:33.357534

• 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[]

  
  {'Ciso': '9360v', 'Clabel': '9360v4', 'Cnumber': 4, 'abc_quality': 1.0213953201021033, 'absD': 11372400000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, 0, 0, 5613, 11234], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 9360, 'degree': 24576, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1946263695460823393792433266', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 53, 'isogeny_degrees': [1, 2, 4], 'jinv': [26198797244, 15234375], 'lmfdb_iso': '9360.cb', 'lmfdb_label': '9360.cb4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 624, 624], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '24.24.0-24.ba.1.8', '78.6.0.?', '104.24.0.?', '156.24.0.?', '312.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 117], [3, 8, 1040], [5, 6, 1872], [13, 14, 720]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.067697574745406402500593940257', 'prec': 107}, 'szpiro_ratio': 4.10228587972866, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
• 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, 0, 0, 0, 1, 0, 4, 0, 0, 0, 4, 0, 1, 0, 0, 0, 6, 0, 0, 0], 'aplist': [0, 0, 1, 4, 4, 1, 6, 0, -8, -6, 4, -2, 10, 4, -8, 2, 12, -2, 16, -8, -6, 16, 4, 2, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 9360, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '9360.cb', 'trace_hash': 588065664705720639}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.091698180747593101888155101707', 'prec': 107}, 'conductor': 9360, 'gens': [], 'heights': [], 'lmfdb_label': '9360.cb4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.43218137288657228135306359405', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4574509830925782508245087523674442356', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[73, 900, 1]], 'xcoord_integral_points': [-2, 73]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '13': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '9360.cb4'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 486586
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '9360.cb4', 'torsion': [2, 4]}
  • id: 486587
    {'degree': 4, 'field': [-2, -2, 3, -2, 1], 'lmfdb_label': '9360.cb4', 'torsion': [8]}
  • id: 486591
    {'degree': 8, 'field': [-1453, 592, 1750, 214, -328, 212, -16, -2, 1], 'lmfdb_label': '9360.cb4', 'torsion': [12]}
  • id: 486590
    {'degree': 8, 'field': [100, 0, -47, 0, 3, 0, 7, 0, 1], 'lmfdb_label': '9360.cb4', 'torsion': [2, 8]}
  • id: 486589
    {'degree': 8, 'field': [43264, 0, -5408, 0, 468, 0, -26, 0, 1], 'lmfdb_label': '9360.cb4', 'torsion': [2, 8]}
  • id: 486588
    {'degree': 8, 'field': [122500, 0, 4216, 0, -696, 0, 4, 0, 1], 'lmfdb_label': '9360.cb4', 'torsion': [4, 4]}
  • id: 486592
    {'degree': 16, 'field': [1028196, 0, -6960096, 0, 12849408, 0, -2378844, 0, -175227, 0, -2418, 0, -1068, 0, -18, 0, 1], 'lmfdb_label': '9360.cb4', 'torsion': [16]}
  • id: 486593
    {'degree': 16, 'field': [1459851264, 0, 309531648, 0, 76312960, 0, -13200384, 0, 455205, 0, -20056, 0, 978, 0, 0, 0, 1], 'lmfdb_label': '9360.cb4', 'torsion': [2, 12]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 196656
    {'conductor': 9360, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '9360.cb4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 196657
    {'conductor': 9360, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '9360.cb4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 196658
    {'conductor': 9360, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '9360.cb4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 196659
    {'conductor': 9360, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '9360.cb4', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1725850
    {'adelic_gens': [[7, 6, 306, 307], [1, 0, 8, 1], [200, 309, 203, 310], [1, 8, 0, 1], [1, 4, 4, 17], [269, 272, 94, 267], [43, 42, 130, 283], [305, 8, 304, 9], [268, 1, 215, 6]], 'adelic_image': '312.48.0.?', 'conductor': 9360, 'lmfdb_label': '9360.cb4', 'prime': 0}
  • id: 45411
    {'conductor': 9360, 'elladic_image': '4.12.0.7', 'lmfdb_label': '9360.cb4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 9360.cb does not appear in ec_padic