Elliptic curve data - 390225.k1

Formats: - HTML - YAML - JSON - 2025-12-07T09:18:33.900105

• 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': '390225k', 'Clabel': '390225k1', 'Cnumber': 1, 'abc_quality': 0.7865944206208199, 'absD': 42224741225390625, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 132, 'ainvs': [1, 0, 0, 81612, -4141983], 'analytic_rank': 2, 'bad_primes': [3, 5, 11, 43], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 390225, 'degree': 3744000, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8786488680426158274789837046', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1], 'jinv': [86869895, 61017], 'lmfdb_iso': '390225.k', 'lmfdb_label': '390225.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 27, 36], 'min_quad_twist_disc': -55, 'modell_images': [], 'modm_images': ['132.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 8, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '2.2777574652348060738178724678', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9075], [3, 4, 130075], [5, 14, 15609], [11, 72, 3225], [43, 44, 9075]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.39325737664596969428582763987', 'prec': 107}, 'szpiro_ratio': 3.53744783228392, '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, 1, -1, 0, -1, -1, 3, 1, 0, 0, -1, -6, 1, 0, -1, -7, -1, 5, 0], 'aplist': [-1, 1, 0, -1, 0, -6, -7, 5, 3, -2, 0, 11, -9, -1, -3, 12, -9, -2, -16, -7, 0, -15, -4, 8, -1], 'class_deg': 1, 'class_size': 1, 'conductor': 390225, 'isogeny_matrix': [[1]], 'lmfdb_iso': '390225.k', 'trace_hash': 2216407211507132067}
• 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': '0.023346744274556114501333102794', 'prec': 107}, 'conductor': 390225, 'gens': [[527, 13349, 1], [77, 1574, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.4004179512938053503448859223', 'prec': 100}, {'__RealLiteral__': 0, 'data': '1.7276792015857540217396881604', 'prec': 100}], 'lmfdb_label': '390225.k1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.20397177142381553161803950441', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.150357401386319601847255588971017071', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [], 'xcoord_integral_points': [77, 527, 17951, 4237727]}
• lmfdb_label 390225.k1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 16131494
    {'degree': 3, 'field': [12, 12, -1, 1], 'lmfdb_label': '390225.k1', 'torsion': [2]}
  • id: 16131495
    {'degree': 6, 'field': [528, 0, -8, 0, 1, 0, 1], 'lmfdb_label': '390225.k1', 'torsion': [2, 2]}
  • id: 16131496
    {'degree': 8, 'field': [-3087, -8820, 9072, -505, 256, -7, 7, -4, 1], 'lmfdb_label': '390225.k1', 'torsion': [3]}
  • id: 16131497
    {'degree': 12, 'field': [-59418593, -94062004, 16199744, -3891708, 1862287, -166784, -37712, 4480, -1679, 180, -16, -4, 1], 'lmfdb_label': '390225.k1', '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: 9655681
    {'conductor': 390225, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '390225.k1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 9655682
    {'conductor': 390225, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '390225.k1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 9655683
    {'conductor': 390225, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '390225.k1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9655684
    {'conductor': 390225, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '390225.k1', 'prime': 43, 'reduction_type': -1, '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

  
  {'adelic_gens': [[89, 2, 89, 3], [1, 2, 0, 1], [67, 2, 67, 3], [1, 0, 2, 1], [131, 2, 130, 3], [13, 2, 13, 3], [1, 1, 131, 0]], 'adelic_image': '132.2.0.?', 'conductor': 390225, 'lmfdb_label': '390225.k1', 'prime': 0}
• lmfdb_iso 390225.k does not appear in ec_padic