Elliptic curve data - 190575.cr2

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '190575co', 'Clabel': '190575co2', 'Cnumber': 2, 'abc_quality': 1.0652168396120913, 'absD': 3159875421530884546875, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 6930, 'ainvs': [0, 0, 1, -1343100, 2770102156], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 11], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 190575, 'degree': 7776000, 'elladic_images': ['3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8072792118989410142515156393', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 69, 'isogeny_degrees': [1, 3], 'jinv': [-13278380032, 156590819], 'lmfdb_iso': '190575.cr', 'lmfdb_label': '190575.cr2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -49, 600], 'min_quad_twist_disc': 165, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '22.2.0.a.1', '30.24.0-3.a.1.1', '63.36.0.b.1', '66.24.1.b.1', '165.24.0.?', '330.48.1.?', '630.72.0.?', '1386.72.3.?', '3465.72.0.?', '6930.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 27225], [3, 2, 3025], [5, 14, 7623], [7, 8, 27225], [11, 72, 1575]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.25430647494865070922254156524', 'prec': 103}, 'szpiro_ratio': 4.688960212081813, '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, 0, -2, 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 4, 6, 0, -2, 0], 'aplist': [0, 0, 0, 1, 0, -4, 6, -2, 3, -6, 5, -11, 6, 8, 0, -6, 9, 10, -5, -9, 2, 10, -12, 3, 1], 'class_deg': 9, 'class_size': 3, 'conductor': 190575, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '190575.cr', 'trace_hash': 1587292180374617900}
• 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': '0.0036444186314110091220428040035', 'prec': 110}, 'conductor': 190575, 'gens': [], 'heights': [], 'lmfdb_label': '190575.cr2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.12058248506978911199992612355', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4469898208374693439991134826112719818', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 190575.cr2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8393036
    {'degree': 2, 'field': [-41, -1, 1], 'lmfdb_label': '190575.cr2', 'torsion': [3]}
  • id: 8393037
    {'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '190575.cr2', 'torsion': [3]}
  • id: 8393038
    {'degree': 3, 'field': [1, 1, -1, 1], 'lmfdb_label': '190575.cr2', 'torsion': [2]}
  • id: 8393039
    {'degree': 4, 'field': [196, -14, -13, -1, 1], 'lmfdb_label': '190575.cr2', 'torsion': [3, 3]}
  • id: 8393041
    {'degree': 6, 'field': [-491, -177, 22, 37, -2, -1, 1], 'lmfdb_label': '190575.cr2', 'torsion': [6]}
  • id: 8393040
    {'degree': 6, 'field': [1, -1, 2, -3, 2, -1, 1], 'lmfdb_label': '190575.cr2', 'torsion': [2, 2]}
  • id: 8393042
    {'degree': 6, 'field': [34, -22, 12, -13, 3, -1, 1], 'lmfdb_label': '190575.cr2', 'torsion': [6]}
  • id: 8393043
    {'degree': 12, 'field': [-9113159, 9412942, -5076640, 3329970, -1437373, 125988, 74784, -14484, 747, -10, 16, -6, 1], 'lmfdb_label': '190575.cr2', 'torsion': [4]}
  • id: 8393046
    {'degree': 12, 'field': [1, 1, 5, 10, 9, 9, 14, -9, 9, -10, 5, -1, 1], 'lmfdb_label': '190575.cr2', 'torsion': [2, 6]}
  • id: 8393044
    {'degree': 12, 'field': [1156, -748, 76, 620, -244, -58, 179, -37, -16, 23, -2, -1, 1], 'lmfdb_label': '190575.cr2', 'torsion': [3, 6]}
  • id: 8393045
    {'degree': 12, 'field': [4096, -1024, -2560, 1600, 224, -276, 189, -69, 14, 25, -10, -1, 1], 'lmfdb_label': '190575.cr2', 'torsion': [2, 6]}
  • id: 8393047
    {'degree': 18, 'field': [-327066758801, -247984766193, 358109538210, 87281866349, -109052489421, -4702836933, 11501047556, -788184489, -348384033, 77789352, 3839319, -2565966, 161454, -21306, 4056, -557, 54, -3, 1], 'lmfdb_label': '190575.cr2', 'torsion': [9]}
  • id: 8393048
    {'degree': 18, 'field': [53656554680, -5338673880, 20663102214, -22740052863, 22160570697, -10463834025, 4863710004, -1318194114, 380671029, -62942401, 12644946, -1303704, 235863, -25500, 5526, -720, 120, -9, 1], 'lmfdb_label': '190575.cr2', 'torsion': [9]}
• 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: 4718123
    {'conductor': 190575, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '190575.cr2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 4718124
    {'conductor': 190575, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '190575.cr2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4718125
    {'conductor': 190575, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '190575.cr2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 4718126
    {'conductor': 190575, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '190575.cr2', 'prime': 11, '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: 2887735
    {'adelic_gens': [[1, 18, 0, 1], [1, 9, 9, 82], [6913, 18, 6912, 19], [5551, 2790, 1170, 4621], [5543, 0, 0, 6929], [1124, 5535, 3285, 1394], [1, 6, 6, 37], [1, 0, 18, 1], [1, 12, 0, 1], [6929, 4140, 0, 5389]], 'adelic_image': '6930.144.3.?', 'conductor': 190575, 'lmfdb_label': '190575.cr2', 'prime': 0}
  • id: 710701
    {'conductor': 190575, 'elladic_image': '3.12.0.1', 'lmfdb_label': '190575.cr2', 'modell_image': '3Cs', 'prime': 3}
• lmfdb_iso 190575.cr does not appear in ec_padic