Elliptic curve data - 363726.b1

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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': '363726b', 'Clabel': '363726b1', 'Cnumber': 1, 'abc_quality': 0.7739302919771749, 'absD': 2811764929248, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 44088, 'ainvs': [1, -1, 0, 3426, 22644], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 167], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 363726, 'degree': 1075200, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0777512144820983110976493341', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1], 'jinv': [92959677, 58784], 'lmfdb_iso': '363726.b', 'lmfdb_label': '363726.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 255, 413], 'min_quad_twist_disc': 33, 'modell_images': [], 'modm_images': ['44088.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2030991611425218589988866815', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.39584949408411438378213376411', 'prec': 107}, 'szpiro_ratio': 2.8139991853484108, '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, -4, 0, 2, -1, 0, 4, 0, 0, 2, -2, 0, 1, 6, 0, 1, -4], 'aplist': [-1, 0, -4, 2, 0, 2, 6, 1, 5, 4, -9, -2, 0, 4, -2, -14, -4, 3, -15, 15, 10, -15, -9, -6, -13], 'class_deg': 1, 'class_size': 1, 'conductor': 363726, 'isogeny_matrix': [[1]], 'lmfdb_iso': '363726.b', 'trace_hash': 386340099995615291}
• 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': '0.11584497211942543273534666524', 'prec': 103}, 'conductor': 363726, 'gens': [[3, 180, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2030991611425218589988866815', 'prec': 100}], 'lmfdb_label': '363726.b1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.50056973009476898480899340476', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8178801789628411568335931108931206831', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [3, 85]}
• lmfdb_label 363726.b1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15120967
    {'degree': 3, 'field': [-42, 6, -1, 1], 'lmfdb_label': '363726.b1', 'torsion': [2]}
  • id: 15120968
    {'degree': 6, 'field': [44088, 0, 289, 0, 34, 0, 1], 'lmfdb_label': '363726.b1', 'torsion': [2, 2]}
  • id: 15120969
    {'degree': 8, 'field': [-419628, 0, -285417, 0, 12507, 0, -187, 0, 1], 'lmfdb_label': '363726.b1', 'torsion': [3]}
  • id: 15120970
    {'degree': 12, 'field': [-3447944718, -3129710556, -563802267, 7320324, -13015013, 7604024, -3793313, 230672, -1301, -280, 13, -4, 1], 'lmfdb_label': '363726.b1', '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: 8997907
    {'conductor': 363726, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '363726.b1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8997908
    {'conductor': 363726, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '363726.b1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8997909
    {'conductor': 363726, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '363726.b1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8997910
    {'conductor': 363726, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '363726.b1', 'prime': 167, '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

  
  {'adelic_gens': [[1, 0, 2, 1], [1, 2, 0, 1], [32737, 2, 32737, 3], [12025, 2, 12025, 3], [22045, 2, 22045, 3], [11023, 2, 0, 1], [29393, 2, 29393, 3], [1, 1, 44087, 0], [44087, 2, 44086, 3]], 'adelic_image': '44088.2.0.?', 'conductor': 363726, 'lmfdb_label': '363726.b1', 'prime': 0}
• lmfdb_iso 363726.b does not appear in ec_padic