Elliptic curve data - 332350.bl1

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• 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '332350bl', 'Clabel': '332350bl1', 'Cnumber': 1, 'abc_quality': 0.9332300934313082, 'absD': 48024575000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 138, 'ainvs': [1, 0, 1, -1105576, 447343798], 'analytic_rank': 1, 'bad_primes': [2, 5, 17, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 332350, 'degree': 4043520, 'elladic_images': ['3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9855359768161428187263138896', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 37, 'isogeny_degrees': [1, 3], 'jinv': [-4580714604505, 1472], 'lmfdb_iso': '332350.bl', 'lmfdb_label': '332350.bl1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -44223, 3561061], 'min_quad_twist_disc': 5, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '46.2.0.a.1', '138.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.6461394107646230874389241135', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 166175], [3, 2, 166175], [5, 14, 13294], [17, 114, 1150], [23, 24, 14450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.031827079491996124424037205174', 'prec': 110}, 'szpiro_ratio': 4.197063770299368, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
• 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, 1, 1, 0, -1, 2, -1, -2, 0, -6, 1, 5, -2, 0, 1, 0, 2, 2, 0], 'aplist': [-1, 1, 0, 2, -6, 5, 0, 2, -1, 3, -7, 8, 3, 2, 0, -6, 15, -4, 8, 0, -7, -10, -6, 0, 8], 'class_deg': 3, 'class_size': 2, 'conductor': 332350, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '332350.bl', 'trace_hash': 13655666101538946}
• 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': '0.018853212529660580346411779264', 'prec': 107}, 'conductor': 332350, 'gens': [[-2233, 240977, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '6.6461394107646230874389241135', 'prec': 100}], 'lmfdb_label': '332350.bl1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.51220393648367022760469353490', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.8083575372258009528794762331361946425', 'prec': 130}, 'tamagawa_product': 18, 'torsion_generators': [[602, -89, 1]], 'xcoord_integral_points': [602]}
• lmfdb_label 332350.bl1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 13933915
    {'degree': 3, 'field': [-340, -85, 0, 1], 'lmfdb_label': '332350.bl1', 'torsion': [6]}
  • id: 13933916
    {'degree': 6, 'field': [3008, -632, 578, 107, -51, -3, 1], 'lmfdb_label': '332350.bl1', 'torsion': [2, 6]}
  • id: 13933917
    {'degree': 6, 'field': [3538188, 3258, -3257, -3, 4, -3, 1], 'lmfdb_label': '332350.bl1', 'torsion': [3, 3]}
  • id: 13933918
    {'degree': 9, 'field': [1, -9, 27, 1421, -4353, 4362, -1442, -9, 0, 1], 'lmfdb_label': '332350.bl1', 'torsion': [9]}
  • id: 13933919
    {'degree': 12, 'field': [-8, 48, 2794, -14410, 30453, -34824, 23144, -8598, 1391, 4, 12, -6, 1], 'lmfdb_label': '332350.bl1', 'torsion': [12]}
  • id: 13933920
    {'degree': 18, 'field': [8845026304, 888189312, 858031536, -186864668, -145204635, -135965865, 69059077, -15606792, 5667048, -1786444, 305886, -40254, -5990, 6984, -1656, 120, 45, -9, 1], 'lmfdb_label': '332350.bl1', 'torsion': [3, 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: 8226948
    {'conductor': 332350, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '332350.bl1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8226949
    {'conductor': 332350, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '332350.bl1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 8226950
    {'conductor': 332350, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '332350.bl1', 'prime': 17, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 8226951
    {'conductor': 332350, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '332350.bl1', 'prime': 23, '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: 3743545
    {'adelic_gens': [[1, 0, 6, 1], [4, 3, 9, 7], [97, 6, 15, 19], [3, 4, 8, 11], [135, 136, 128, 131], [1, 6, 0, 1], [133, 6, 132, 7], [24, 121, 115, 93]], 'adelic_image': '138.16.0.?', 'conductor': 332350, 'lmfdb_label': '332350.bl1', 'prime': 0}
  • id: 1157154
    {'conductor': 332350, 'elladic_image': '3.8.0.1', 'lmfdb_label': '332350.bl1', 'modell_image': '3B.1.1', 'prime': 3}
• lmfdb_iso 332350.bl does not appear in ec_padic