Elliptic curve data - 3192.h3

Formats: - HTML - YAML - JSON - 2024-04-25T01:51:36.741970

• 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': '3192j', 'Clabel': '3192j1', 'Cnumber': 1, 'abc_quality': 0.8976750426615946, 'absD': 715008, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 456, 'ainvs': [0, -1, 0, -932, 11268], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3192, 'degree': 1280, 'elladic_images': ['8.24.0.53'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.29545141254161436686672969265', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4], 'jinv': [350104249168, 2793], 'lmfdb_iso': '3192.h', 'lmfdb_label': '3192.h3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -932, 11268], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.m.1.1', '114.6.0.?', '228.24.0.?', '456.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.16664670783168250607809172166', 'prec': 107}, 'szpiro_ratio': 3.9817885164253592, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
• 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, -1, 0, 2, 0, -1, 0, 1, 0, -4, 0, -6, 0, -2, 0, 2, 0, -1, 0], 'aplist': [0, -1, 2, -1, -4, -6, 2, -1, -4, 6, 4, 2, 10, 12, 4, 14, -4, 6, 4, -8, -6, -12, 12, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 3192, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '3192.h', 'trace_hash': 1046751436216970068}
• 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': '0.55382705000374002264372722848', 'prec': 103}, 'conductor': 3192, 'gens': [], 'heights': [], 'lmfdb_label': '3192.h3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '2.5640541656093781189527700694', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2820270828046890594763850346809869962', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[16, 14, 1]], 'xcoord_integral_points': [16, 18]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '7': [0, 0], '19': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '3192.h3'}
• ec_torsion_growth •

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

  
  
  • id: 166573
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '3192.h3', 'torsion': [2, 4]}
  • id: 166574
    {'degree': 4, 'field': [674, -28, 50, 0, 1], 'lmfdb_label': '3192.h3', 'torsion': [8]}
  • id: 166578
    {'degree': 8, 'field': [-48, 0, -848, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '3192.h3', 'torsion': [12]}
  • id: 166576
    {'degree': 8, 'field': [32041, 0, -14246, 0, 1890, 0, -86, 0, 1], 'lmfdb_label': '3192.h3', 'torsion': [2, 8]}
  • id: 166577
    {'degree': 8, 'field': [41209, 0, 12894, 0, 1514, 0, 78, 0, 1], 'lmfdb_label': '3192.h3', 'torsion': [2, 8]}
  • id: 166575
    {'degree': 8, 'field': [76729, -59278, 22898, -2656, -329, 184, 2, -2, 1], 'lmfdb_label': '3192.h3', 'torsion': [4, 4]}
  • id: 166580
    {'degree': 16, 'field': [9, 0, 33564, 0, -89276, 0, 67128, 0, 30, 0, -11188, 0, -12, 0, 0, 0, 1], 'lmfdb_label': '3192.h3', 'torsion': [2, 12]}
  • id: 166579
    {'degree': 16, 'field': [3016076932, 569919392, 1004365216, 437049200, 145476968, 90495104, 22479128, 6159552, 3383996, -42896, 275632, -16856, 9940, -336, 148, 0, 1], 'lmfdb_label': '3192.h3', 'torsion': [16]}
• 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: 57699
    {'conductor': 3192, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '3192.h3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 57700
    {'conductor': 3192, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3192.h3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 57701
    {'conductor': 3192, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3192.h3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 57702
    {'conductor': 3192, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3192.h3', 'prime': 19, '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: 1684737
    {'adelic_gens': [[7, 6, 450, 451], [388, 1, 407, 6], [308, 1, 175, 6], [1, 0, 8, 1], [449, 8, 448, 9], [289, 288, 70, 295], [179, 174, 290, 59], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '456.48.0.?', 'conductor': 3192, 'lmfdb_label': '3192.h3', 'prime': 0}
  • id: 16008
    {'conductor': 3192, 'elladic_image': '8.24.0.53', 'lmfdb_label': '3192.h3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 3192.h does not appear in ec_padic