Elliptic curve data - 327184.m1

Formats: - HTML - YAML - JSON - 2025-11-01T08:49:19.696691

• 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': '327184m', 'Clabel': '327184m1', 'Cnumber': 1, 'abc_quality': 0.9807992880540953, 'absD': 103498034436898816, 'adelic_genus': 0, 'adelic_index': 4, 'adelic_level': 88, 'ainvs': [0, 1, 0, 8056, 15478516], 'analytic_rank': 1, 'bad_primes': [2, 11, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 327184, 'degree': 2156544, 'elladic_images': ['4.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9438283490919560831776406784', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1], 'jinv': [143, 256], 'lmfdb_iso': '327184.m', 'lmfdb_label': '327184.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 3, -109], 'min_quad_twist_disc': -52, 'modell_images': [], 'modm_images': ['4.2.0.a.1', '88.4.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.2963162285591320701700701896', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 20449], [11, 32, 2704], [13, 74, 1936]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.85893428190874214095224033377', 'prec': 107}, 'szpiro_ratio': 3.6723661048083183, '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, -2, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 4, 0, -3, 0, 0, 0], 'aplist': [0, -2, -2, 0, 0, 0, -3, 0, 2, -6, 2, -7, 5, 8, -2, -3, 2, -13, -2, 2, 1, 10, -2, 3, -13], 'class_deg': 1, 'class_size': 1, 'conductor': 327184, 'isogeny_matrix': [[1]], 'lmfdb_iso': '327184.m', 'trace_hash': 478957926463364262}
• 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': '0.020493311831656065927592831943', 'prec': 107}, 'conductor': 327184, 'gens': [[44, 3990, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.2963162285591320701700701896', 'prec': 100}], 'lmfdb_label': '327184.m1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.26292195662502007109373506879', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7850356514352280225207512542513728772', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [44]}
• lmfdb_label 327184.m1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 13734179
    {'degree': 3, 'field': [90, 48, -1, 1], 'lmfdb_label': '327184.m1', 'torsion': [2]}
  • id: 13734180
    {'degree': 6, 'field': [8100, 0, 2484, 0, -95, 0, 1], 'lmfdb_label': '327184.m1', 'torsion': [2, 2]}
  • id: 13734181
    {'degree': 8, 'field': [-35163, -11286, 6720, 1532, -416, -10, -2, -4, 1], 'lmfdb_label': '327184.m1', 'torsion': [3]}
  • id: 13734182
    {'degree': 12, 'field': [-137249, 157514, 56368, -24762, 1272, 10966, 3122, -170, 32, 18, 14, -6, 1], 'lmfdb_label': '327184.m1', '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: 8098754
    {'conductor': 327184, 'conductor_valuation': 4, 'discriminant_valuation': 20, 'j_denominator_valuation': 8, 'kodaira_symbol': -16, 'lmfdb_label': '327184.m1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8098755
    {'conductor': 327184, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '327184.m1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 8098756
    {'conductor': 327184, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '327184.m1', 'prime': 13, 'reduction_type': 0, '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: 3712968
    {'adelic_gens': [[2, 3, 83, 81], [1, 2, 2, 5], [85, 84, 80, 77], [47, 4, 8, 11], [85, 4, 84, 5], [41, 29, 80, 55], [83, 4, 16, 11], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '88.4.0.?', 'conductor': 327184, 'lmfdb_label': '327184.m1', 'prime': 0}
  • id: 1141055
    {'conductor': 327184, 'elladic_image': '4.2.0.1', 'lmfdb_label': '327184.m1', 'modell_image': '2G', 'prime': 2}
• lmfdb_iso 327184.m does not appear in ec_padic