Elliptic curve data - 92736.s1

Formats: - HTML - YAML - JSON - 2024-05-20T22:20:09.249298

• 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[]

  
  {'Ciso': '92736es', 'Clabel': '92736es2', 'Cnumber': 2, 'abc_quality': 0.8501514182454999, 'absD': 9907160481792, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1288, 'ainvs': [0, 0, 0, -8076, -234736], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 92736, 'degree': 221184, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2143379123049333179665686273', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2], 'jinv': [304821217, 51842], 'lmfdb_iso': '92736.s', 'lmfdb_label': '92736.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -14, -23], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '644.6.0.?', '1288.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37468900286903949185690217335', 'prec': 107}, 'szpiro_ratio': 3.375171006102225, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• 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, -2, 0, -1, 0, 0, 0, -6, 0, 4, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, 0, -2, -1, -6, 4, 2, 4, 1, -10, 8, 8, 2, 6, 12, 12, 6, 6, -2, 16, 2, 0, -4, 6, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 92736, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '92736.s', 'trace_hash': 692736267413935127}
• 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': '0.088153486007255227855094191285', 'prec': 107}, 'conductor': 92736, 'gens': [], 'heights': [], 'lmfdb_label': '92736.s1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.50945446707606578880720564559', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0378178683042631552288225823496358091', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-68, 0, 1]], 'xcoord_integral_points': [-68]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '7': [0, 0], '23': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '92736.s1'}
• ec_torsion_growth •

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

  
  
  • id: 4330168
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '92736.s1', 'torsion': [2, 2]}
  • id: 4330169
    {'degree': 4, 'field': [232, 64, -7, -1, 1], 'lmfdb_label': '92736.s1', 'torsion': [4]}
  • id: 4330172
    {'degree': 8, 'field': [-972, 0, -918, 0, -108, 0, 0, 0, 1], 'lmfdb_label': '92736.s1', 'torsion': [6]}
  • id: 4330170
    {'degree': 8, 'field': [49, 0, -620, 0, -28, 0, 20, 0, 1], 'lmfdb_label': '92736.s1', 'torsion': [2, 4]}
  • id: 4330171
    {'degree': 8, 'field': [41596, 27240, 6256, -928, 431, 154, -21, -2, 1], 'lmfdb_label': '92736.s1', 'torsion': [2, 4]}
  • id: 4330174
    {'degree': 16, 'field': [35344, 0, -525024, 0, -66368, 0, -50968, 0, 5940, 0, -1180, 0, 133, 0, 18, 0, 1], 'lmfdb_label': '92736.s1', 'torsion': [2, 6]}
  • id: 4330173
    {'degree': 16, 'field': [619629760, 1187404928, 842535168, 214760320, 22415216, 31778464, 17996592, 3281056, 644548, 279384, 47256, 4104, 1849, 126, -65, -2, 1], 'lmfdb_label': '92736.s1', 'torsion': [8]}
• 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: 2271424
    {'conductor': 92736, 'conductor_valuation': 6, 'discriminant_valuation': 19, 'j_denominator_valuation': 1, 'kodaira_symbol': -13, 'lmfdb_label': '92736.s1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2271425
    {'conductor': 92736, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '92736.s1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2271426
    {'conductor': 92736, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '92736.s1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2271427
    {'conductor': 92736, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '92736.s1', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 2274724
    {'adelic_gens': [[1, 2, 2, 5], [2, 1, 643, 0], [1, 4, 0, 1], [1285, 4, 1284, 5], [1129, 162, 160, 1127], [281, 4, 562, 9], [1, 0, 4, 1], [185, 4, 370, 9], [3, 4, 8, 11]], 'adelic_image': '1288.12.0.?', 'conductor': 92736, 'lmfdb_label': '92736.s1', 'prime': 0}
  • id: 375775
    {'conductor': 92736, 'elladic_image': '8.6.0.6', 'lmfdb_label': '92736.s1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 92736.s does not appear in ec_padic