Elliptic curve data - 118579.b1

Formats: - HTML - YAML - JSON - 2025-09-23T09:52:27.684223

• 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': '118579b', 'Clabel': '118579b1', 'Cnumber': 1, 'abc_quality': 1.0584726267565254, 'absD': 38674635582769950658581013501, 'adelic_genus': 7, 'adelic_index': 108, 'adelic_level': 54036, 'ainvs': [1, -1, 0, 423612946, 8846527401901], 'analytic_rank': 0, 'bad_primes': [19, 79], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 118579, 'degree': 57335040, 'elladic_images': ['9.27.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1678118583838646520366019997', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1], 'jinv': [70143520960521, 322687697779], 'lmfdb_iso': '118579.b', 'lmfdb_label': '118579.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 67876, -17960039], 'min_quad_twist_disc': -79, 'modell_images': ['3Nn'], 'modm_images': ['3.3.0.a.1', '9.27.0.b.1', '228.6.0.?', '237.6.0.?', '684.54.1.?', '711.54.2.?', '6004.2.0.?', '18012.12.1.?', '54036.108.7.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 2, 6241], [19, 20, 6241], [79, 1640, 19]], 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.89072596903359853140689284359', 'prec': 103}, 'szpiro_ratio': 6.260649351019175, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 0, -1, 1, 0, 0, -3, -3, 1, 2, 0, 4, 0, 0, -1, 0, -3, -1, -1], 'aplist': [1, 0, 1, 0, 2, 4, 0, -1, -4, -9, -3, -9, -9, 9, -9, -9, 0, 0, -3, 0, 11, 0, -14, 10, -12], 'class_deg': 1, 'class_size': 1, 'conductor': 118579, 'isogeny_matrix': [[1]], 'lmfdb_iso': '118579.b', 'trace_hash': 397423396040816399}
• 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': '0.00023981956814338652256439482217', 'prec': 113}, 'conductor': 118579, 'gens': [], 'heights': [], 'lmfdb_label': '118579.b1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.026107870576021607720245430268', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.46994167036838893896441774482385991444', 'prec': 133}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [2, 2, 0], '5': [6, 0], '7': [0, 0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0], '79': 'a'}, 'iwp0': 0, 'lmfdb_label': '118579.b1'}
• ec_torsion_growth •

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

  
  
  • id: 5431132
    {'degree': 3, 'field': [-36, -14, 0, 1], 'lmfdb_label': '118579.b1', 'torsion': [2]}
  • id: 5431133
    {'degree': 6, 'field': [12088, 5536, 1354, 162, -5, -2, 1], 'lmfdb_label': '118579.b1', 'torsion': [2, 2]}
  • id: 5431134
    {'degree': 8, 'field': [5287, -5732, -902, 775, 145, 55, 4, -2, 1], 'lmfdb_label': '118579.b1', 'torsion': [3]}
  • id: 5431135
    {'degree': 12, 'field': [-1081924704, -3908340281, 182133449, 288641223, 105001501, -24335271, -376273, 344537, 11255, -2365, -63, -1, 1], 'lmfdb_label': '118579.b1', 'torsion': [4]}
  • id: 5431136
    {'degree': 16, 'field': [27952369, -30305084, 37624698, -3024586, 4489289, 1254015, 1088971, 178093, -351, -2153, 2191, 1575, -19, -118, 0, -2, 1], 'lmfdb_label': '118579.b1', 'torsion': [3, 3]}
• 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: 2919804
    {'conductor': 118579, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '118579.b1', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2919805
    {'conductor': 118579, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '118579.b1', 'prime': 79, 'reduction_type': 0, '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: 2438900
    {'adelic_gens': [[1, 18, 0, 1], [10, 9, 81, 73], [3, 16, 53852, 53055], [27019, 18, 27027, 163], [43781, 46, 15067, 175], [1, 0, 18, 1], [25522, 37571, 13123, 5455], [8533, 18, 22761, 163], [54019, 18, 54018, 19]], 'adelic_image': '54036.108.7.?', 'conductor': 118579, 'lmfdb_label': '118579.b1', 'prime': 0}
  • id: 467061
    {'conductor': 118579, 'elladic_image': '9.27.0.2', 'lmfdb_label': '118579.b1', 'modell_image': '3Nn', 'prime': 3}
• lmfdb_iso 118579.b does not appear in ec_padic