Elliptic curve data - 148720.bq2

Formats: - HTML - YAML - JSON - 2024-06-04T02:07:06.221526

• 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': '148720bb', 'Clabel': '148720bb3', 'Cnumber': 3, 'abc_quality': 1.026119420484522, 'absD': 684078926307920, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 8580, 'ainvs': [0, -1, 0, -75261, 7871876], 'analytic_rank': 0, 'bad_primes': [2, 5, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 148720, 'degree': 933120, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6503513744561789286483300247', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 42, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [610462990336, 8857805], 'lmfdb_iso': '148720.bq', 'lmfdb_label': '148720.bq2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -445, -3720], 'min_quad_twist_disc': -52, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '10.6.0.a.1', '30.24.0.a.1', '44.6.0.b.1', '132.24.0.?', '156.24.0.?', '220.12.0.?', '660.48.1.?', '780.48.0.?', '1716.48.0.?', '8580.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, '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': '0.13682763553876212414917559676', 'prec': 103}, 'szpiro_ratio': 3.8035642861485486, '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, 2, 0, -1, 0, -4, 0, 1, 0, -1, 0, 0, 0, -2, 0, 0, 0, -4, 0], 'aplist': [0, 2, -1, -4, -1, 0, 0, -4, 6, -6, 8, -2, -6, -8, 6, -6, -12, 2, -10, -12, 16, -8, 0, -6, -14], 'class_deg': 6, 'class_size': 4, 'conductor': 148720, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '148720.bq', 'trace_hash': 1502081994911696880}
• 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': '0.036857256900818804149503427871', 'prec': 107}, 'conductor': 148720, 'gens': [], 'heights': [], 'lmfdb_label': '148720.bq2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.51102812855189067608315177750', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.51102812855189067608315177749856371867', 'prec': 133}, 'tamagawa_product': 4, 'torsion_generators': [[-316, 0, 1]], 'xcoord_integral_points': [-316]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': [0, 0], '11': [0, 0], '13': 'a'}, 'iwp0': 5, 'lmfdb_label': '148720.bq2'}
• ec_torsion_growth •

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

  
  
  • id: 6693131
    {'degree': 2, 'field': [-39, 0, 1], 'lmfdb_label': '148720.bq2', 'torsion': [6]}
  • id: 6693130
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '148720.bq2', 'torsion': [2, 2]}
  • id: 6693132
    {'degree': 4, 'field': [302, 96, 48, -2, 1], 'lmfdb_label': '148720.bq2', 'torsion': [4]}
  • id: 6693133
    {'degree': 4, 'field': [1405, 80, -79, -2, 1], 'lmfdb_label': '148720.bq2', 'torsion': [2, 6]}
  • id: 6693134
    {'degree': 6, 'field': [3428, -8, 548, -52, 34, -2, 1], 'lmfdb_label': '148720.bq2', 'torsion': [6]}
  • id: 6693136
    {'degree': 8, 'field': [-51964, 83496, -36920, 1144, 1524, 4, -40, -4, 1], 'lmfdb_label': '148720.bq2', 'torsion': [2, 4]}
  • id: 6693137
    {'degree': 8, 'field': [48097, 6962, -6470, -970, 451, 38, -8, -4, 1], 'lmfdb_label': '148720.bq2', 'torsion': [12]}
  • id: 6693135
    {'degree': 8, 'field': [152101, -85514, 53966, -14014, 2779, -286, 88, 0, 1], 'lmfdb_label': '148720.bq2', 'torsion': [2, 4]}
  • id: 6693139
    {'degree': 12, 'field': [470596, 134456, 134456, 0, 0, -10024, -2504, 716, 0, 0, 56, -4, 1], 'lmfdb_label': '148720.bq2', 'torsion': [2, 6]}
  • id: 6693138
    {'degree': 12, 'field': [5036989, -2489820, 2960123, -987666, 614130, -151848, 63343, -11394, 3462, -420, 95, -6, 1], 'lmfdb_label': '148720.bq2', 'torsion': [3, 6]}
  • id: 6693142
    {'degree': 16, 'field': [-82859, 1166228, -3270620, 4134740, -1776390, -642616, 693332, -387820, 61715, 33760, -16828, 5236, -630, -140, 40, -8, 1], 'lmfdb_label': '148720.bq2', 'torsion': [2, 12]}
  • id: 6693141
    {'degree': 16, 'field': [1731724996, 0, -491901088, 0, 93364084, 0, -5125492, 0, 370189, 0, -29212, 0, 1462, 0, -40, 0, 1], 'lmfdb_label': '148720.bq2', 'torsion': [2, 12]}
  • id: 6693140
    {'degree': 16, 'field': [93629880100, 0, -11731224000, 0, 210219240, 0, 67247280, 0, 8144784, 0, 475264, 0, 13420, 0, 184, 0, 1], 'lmfdb_label': '148720.bq2', 'torsion': [8]}
  • id: 6693143
    {'degree': 18, 'field': [417136509, 12764370960, -21063501270, 9297152502, -9445769181, 112481688, 2747696431, -280869072, -262229019, 32880254, 10400052, -1350426, -122428, -13134, 9207, -704, -45, 0, 1], 'lmfdb_label': '148720.bq2', 'torsion': [18]}
• 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: 3677439
    {'conductor': 148720, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '148720.bq2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3677440
    {'conductor': 148720, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '148720.bq2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3677441
    {'conductor': 148720, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '148720.bq2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3677442
    {'conductor': 148720, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '148720.bq2', 'prime': 13, '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: 2628977
    {'adelic_gens': [[11, 2, 8530, 8571], [4341, 7202, 4654, 259], [2861, 2652, 2860, 1], [1, 0, 12, 1], [8569, 12, 8568, 13], [1, 6, 6, 37], [7801, 2652, 5226, 7333], [1990, 663, 7761, 6592], [1, 12, 0, 1], [5939, 0, 0, 8579]], 'adelic_image': '8580.96.1.?', 'conductor': 148720, 'lmfdb_label': '148720.bq2', 'prime': 0}
  • id: 571344
    {'conductor': 148720, 'elladic_image': '2.3.0.1', 'lmfdb_label': '148720.bq2', 'modell_image': '2B', 'prime': 2}
  • id: 571345
    {'conductor': 148720, 'elladic_image': '3.4.0.1', 'lmfdb_label': '148720.bq2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 148720.bq does not appear in ec_padic