Elliptic curve data - 226941.l1

Formats: - HTML - YAML - JSON - 2024-05-21T14:47:11.895275

• 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': '226941l', 'Clabel': '226941l1', 'Cnumber': 1, 'abc_quality': 1.1829830111913726, 'absD': 960628317363, 'adelic_genus': 1, 'adelic_index': 24, 'adelic_level': 19734, 'ainvs': [0, 1, 1, -20853, 1153082], 'analytic_rank': 1, 'bad_primes': [3, 11, 13, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 226941, 'degree': 290304, 'elladic_images': ['3.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2207592991827835001004160896', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1], 'jinv': [-82426462208000, 78953589], 'lmfdb_iso': '226941.l', 'lmfdb_label': '226941.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -20853, 1153082], 'min_quad_twist_disc': 1, 'modell_images': ['3Ns'], 'modm_images': ['3.6.0.b.1', '69.12.0.a.1', '858.12.0.?', '19734.24.1.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1608490798933753967735915272', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.43688574520049607739872788165', 'prec': 103}, 'szpiro_ratio': 3.361139087926723, '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, 0, 1, -2, 0, 0, 0, 0, 1, 0, -1, -2, -1, 0, 0, 4, 0, 0, 0, 0], 'aplist': [0, 1, 0, 0, -1, -1, 0, 0, 0, -3, 4, 3, -12, -9, 3, 3, -12, -6, 12, -3, -11, -9, 15, -6, 9], 'class_deg': 1, 'class_size': 1, 'conductor': 226941, 'isogeny_matrix': [[1]], 'lmfdb_iso': '226941.l', 'trace_hash': 1708372205903573980}
• 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': '0.087028589587161041780849015622', 'prec': 107}, 'conductor': 226941, 'gens': [[84, 34, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1608490798933753967735915272', 'prec': 100}], 'lmfdb_label': '226941.l1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.87627656654015462292233395395', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.1033490760015878151191686349803468565', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [-120, 84]}
• lmfdb_label 226941.l1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 9852345
    {'degree': 3, 'field': [177, 25, -1, 1], 'lmfdb_label': '226941.l1', 'torsion': [2]}
  • id: 9852347
    {'degree': 4, 'field': [-15, 33, -14, -1, 1], 'lmfdb_label': '226941.l1', 'torsion': [3]}
  • id: 9852346
    {'degree': 4, 'field': [8, 10, 9, -1, 1], 'lmfdb_label': '226941.l1', 'torsion': [3]}
  • id: 9852348
    {'degree': 6, 'field': [133771, 7018, 10607, 628, 77, -2, 1], 'lmfdb_label': '226941.l1', 'torsion': [2, 2]}
  • id: 9852349
    {'degree': 8, 'field': [9, 63, 159, 84, -8, -12, 7, -3, 1], 'lmfdb_label': '226941.l1', 'torsion': [3, 3]}
  • id: 9852350
    {'degree': 12, 'field': [-67421272609548, 0, -83728037856, 0, 7413456784, 0, 22844336, 0, -102672, 0, -184, 0, 1], 'lmfdb_label': '226941.l1', 'torsion': [4]}
  • id: 9852352
    {'degree': 12, 'field': [-1239477, -2136357, -891947, 417488, 438255, 82645, -19960, -3531, 89, -152, 15, -1, 1], 'lmfdb_label': '226941.l1', 'torsion': [6]}
  • id: 9852351
    {'degree': 12, 'field': [119475, 434295, 506403, 103014, -61287, 879, 3644, -2367, 267, -30, 9, -3, 1], 'lmfdb_label': '226941.l1', 'torsion': [6]}
• 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: 5626767
    {'conductor': 226941, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '226941.l1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 5626768
    {'conductor': 226941, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '226941.l1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 5626769
    {'conductor': 226941, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '226941.l1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 5626770
    {'conductor': 226941, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '226941.l1', 'prime': 23, '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: 3111329
    {'adelic_gens': [[3, 6580, 19729, 19731], [1795, 6, 5385, 19], [19729, 6, 19728, 7], [2, 3, 3, 5], [1, 6, 0, 1], [6073, 6, 18219, 19], [4293, 2, 6001, 19731], [1, 0, 6, 1]], 'adelic_image': '19734.24.1.?', 'conductor': 226941, 'lmfdb_label': '226941.l1', 'prime': 0}
  • id: 828999
    {'conductor': 226941, 'elladic_image': '3.6.0.1', 'lmfdb_label': '226941.l1', 'modell_image': '3Ns', 'prime': 3}
• lmfdb_iso 226941.l does not appear in ec_padic