Elliptic curve data - 190575.ej1

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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
  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': '190575dr', 'Clabel': '190575dr1', 'Cnumber': 1, 'abc_quality': 0.9949069283037906, 'absD': 209413562026910439515625, 'adelic_genus': 0, 'adelic_index': 4, 'adelic_level': 280, 'ainvs': [1, -1, 0, -87665067, 316716068466], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 190575, 'degree': 31933440, 'elladic_images': ['4.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3471837676152563092437307044', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 113, 'isogeny_degrees': [1], 'jinv': [-30515071121161, 85766121], 'lmfdb_iso': '190575.ej', 'lmfdb_label': '190575.ej1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -3220, 69158], 'min_quad_twist_disc': 165, 'modell_images': [], 'modm_images': ['4.2.0.a.1', '280.4.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.39456181853190424687109936735', 'prec': 103}, 'szpiro_ratio': 5.4685505757984805, '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, 0, 0, 1, -3, 0, 0, 0, 0, 5, 1, 0, -1, 7, 0, 6, 0], 'aplist': [1, 0, 0, 1, 0, 5, 7, 6, -4, 9, -2, -9, -7, -6, 2, 3, -2, -6, -8, -6, -10, 14, 0, 9, -17], 'class_deg': 1, 'class_size': 1, 'conductor': 190575, 'isogeny_matrix': [[1]], 'lmfdb_iso': '190575.ej', 'trace_hash': 2069086054132554822}
• 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': '0.0012378645324399317835190868829', 'prec': 110}, 'conductor': 190575, 'gens': [], 'heights': [], 'lmfdb_label': '190575.ej1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.10037216847323721296681974451', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.6133980650365396668055108024927862550', 'prec': 130}, 'tamagawa_product': 36, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 190575.ej1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8393421
    {'degree': 3, 'field': [2, 4, -1, 1], 'lmfdb_label': '190575.ej1', 'torsion': [2]}
  • id: 8393422
    {'degree': 6, 'field': [4, 0, 20, 0, -7, 0, 1], 'lmfdb_label': '190575.ej1', 'torsion': [2, 2]}
  • id: 8393423
    {'degree': 8, 'field': [-21, -22, -26, 12, 13, 11, -6, -1, 1], 'lmfdb_label': '190575.ej1', 'torsion': [3]}
  • id: 8393424
    {'degree': 12, 'field': [271656, -646800, 696388, -485660, 252476, -107180, 33298, -6870, 862, -50, 5, -5, 1], 'lmfdb_label': '190575.ej1', 'torsion': [4]}
• 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: 4718315
    {'conductor': 190575, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '190575.ej1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4718316
    {'conductor': 190575, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '190575.ej1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4718317
    {'conductor': 190575, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '190575.ej1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 4718318
    {'conductor': 190575, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '190575.ej1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2887823
    {'adelic_gens': [[1, 0, 4, 1], [141, 60, 170, 121], [1, 2, 2, 5], [141, 25, 0, 211], [1, 4, 0, 1], [277, 4, 276, 5], [223, 0, 0, 279], [2, 3, 275, 273], [241, 60, 90, 121], [279, 220, 110, 159]], 'adelic_image': '280.4.0.?', 'conductor': 190575, 'lmfdb_label': '190575.ej1', 'prime': 0}
  • id: 710769
    {'conductor': 190575, 'elladic_image': '4.2.0.1', 'lmfdb_label': '190575.ej1', 'modell_image': '2G', 'prime': 2}
• lmfdb_iso 190575.ej does not appear in ec_padic