Elliptic curve data - 26928.q1

Formats: - HTML - YAML - JSON - 2024-05-10T02:51:22.831999

• 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': '26928bk', 'Clabel': '26928bk2', 'Cnumber': 2, 'abc_quality': 0.9704611331672184, 'absD': 25899119313813504, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4488, 'ainvs': [0, 0, 0, -429771, -108166790], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 26928, 'degree': 184320, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0193989841595872654113820404', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2], 'jinv': [2940001530995593, 8673562656], 'lmfdb_iso': '26928.q', 'lmfdb_label': '26928.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -2984, -63840], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '132.6.0.?', '136.6.0.?', '4488.12.0.?'], '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': '0.77694565926558711029652730048', 'prec': 103}, 'szpiro_ratio': 4.953143138401333, '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, 2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 2, 0], 'aplist': [0, 0, -2, 2, -1, 0, 1, 2, -6, -2, 0, 2, -2, 10, 4, -4, 6, -10, 12, 6, -4, 2, -12, 2, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 26928, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '26928.q', 'trace_hash': 640640682511689411}
• 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': '0.017618637853184208327237169041', 'prec': 107}, 'conductor': 26928, 'gens': [], 'heights': [], 'lmfdb_label': '26928.q1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.18649504478098045138565681339', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4919603582478436110852545071310806078', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-394, 0, 1]], 'xcoord_integral_points': [-394]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '11': [0, 0], '17': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '26928.q1'}
• ec_torsion_growth •

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

  
  
  • id: 1349327
    {'degree': 2, 'field': [-34, 0, 1], 'lmfdb_label': '26928.q1', 'torsion': [2, 2]}
  • id: 1349328
    {'degree': 4, 'field': [34, 0, 13, 0, 1], 'lmfdb_label': '26928.q1', 'torsion': [4]}
  • id: 1349331
    {'degree': 8, 'field': [-108, 0, 0, 0, -36, 0, 5, 0, 1], 'lmfdb_label': '26928.q1', 'torsion': [6]}
  • id: 1349329
    {'degree': 8, 'field': [7650, -3060, -1767, -810, 997, -200, 63, -2, 1], 'lmfdb_label': '26928.q1', 'torsion': [2, 4]}
  • id: 1349330
    {'degree': 8, 'field': [18225, 0, -28236, 0, -2318, 0, -52, 0, 1], 'lmfdb_label': '26928.q1', 'torsion': [2, 4]}
  • id: 1349333
    {'degree': 16, 'field': [186650244, 0, -35168512, 0, -3352784, 0, 1547484, 0, 24812, 0, -16952, 0, 633, 0, -58, 0, 1], 'lmfdb_label': '26928.q1', 'torsion': [2, 6]}
  • id: 1349332
    {'degree': 16, 'field': [248440944, -111852912, -149132628, 3868656, -20425724, 13939140, 57016731, -18231920, 2335053, 491904, -149160, 17520, 1512, -188, 15, 0, 1], 'lmfdb_label': '26928.q1', '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: 620648
    {'conductor': 26928, 'conductor_valuation': 4, 'discriminant_valuation': 17, 'j_denominator_valuation': 5, 'kodaira_symbol': -13, 'lmfdb_label': '26928.q1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 620649
    {'conductor': 26928, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '26928.q1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 620650
    {'conductor': 26928, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '26928.q1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 620651
    {'conductor': 26928, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '26928.q1', 'prime': 17, '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: 1843593
    {'adelic_gens': [[1, 0, 4, 1], [409, 4, 818, 9], [2993, 4, 1498, 9], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [2, 1, 2243, 0], [2114, 1, 3431, 0], [3929, 562, 560, 3927], [4485, 4, 4484, 5]], 'adelic_image': '4488.12.0.?', 'conductor': 26928, 'lmfdb_label': '26928.q1', 'prime': 0}
  • id: 121953
    {'conductor': 26928, 'elladic_image': '2.3.0.1', 'lmfdb_label': '26928.q1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 26928.q does not appear in ec_padic