Elliptic curve data - 363726.bb1

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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': '363726bb', 'Clabel': '363726bb1', 'Cnumber': 1, 'abc_quality': 1.0406863952341814, 'absD': 668567103599972255671517184, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 22044, 'ainvs': [1, -1, 0, -46906074309, -3910123007903403], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 167], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 363726, 'degree': 517816320, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.6119257204074857308176746015', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 27, 'isogeny_degrees': [1], 'jinv': [238611350477842046503213457043, 13977359276805455872], 'lmfdb_iso': '363726.bb', 'lmfdb_label': '363726.bb1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -3488881560, -79318164465856], 'min_quad_twist_disc': 33, 'modell_images': [], 'modm_images': ['22044.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.1383250118412730359378915033', 'prec': 100}, 'szpiro_ratio': 6.664073861712687, '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, 1, 0, -1, -1, 0, -1, 0, 0, 1, 1, 0, 1, 0, 0, 4, 1], 'aplist': [-1, 0, 1, -1, 0, 1, 0, 4, 0, -3, 0, -4, -10, 8, 3, 3, 4, -12, -12, 8, 11, 0, 11, -8, 1], 'class_deg': 1, 'class_size': 1, 'conductor': 363726, 'isogeny_matrix': [[1]], 'lmfdb_iso': '363726.bb', 'trace_hash': 920168705334052691}
• 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': '0.000098657979596458118585730557023', 'prec': 117}, 'conductor': 363726, 'gens': [], 'heights': [], 'lmfdb_label': '363726.bb1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.010258698929273786361991231256', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4772526458154252361267373008360353271', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 363726.bb1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15121199
    {'degree': 3, 'field': [-54, -32, -1, 1], 'lmfdb_label': '363726.bb1', 'torsion': [2]}
  • id: 15121200
    {'degree': 6, 'field': [3762, 4818, 1213, -462, -164, 0, 1], 'lmfdb_label': '363726.bb1', 'torsion': [2, 2]}
  • id: 15121201
    {'degree': 8, 'field': [1077184, 1071296, 246649, 22043, 1414, -43, -50, -1, 1], 'lmfdb_label': '363726.bb1', 'torsion': [3]}
  • id: 15121202
    {'degree': 12, 'field': [-165264, -446880, 676173, -393264, -116117, 4364, 21889, -2056, 361, 104, -53, -4, 1], 'lmfdb_label': '363726.bb1', '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: 8998055
    {'conductor': 363726, 'conductor_valuation': 1, 'discriminant_valuation': 32, 'j_denominator_valuation': 32, 'kodaira_symbol': 36, 'lmfdb_label': '363726.bb1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8998056
    {'conductor': 363726, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '363726.bb1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8998057
    {'conductor': 363726, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '363726.bb1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8998058
    {'conductor': 363726, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '363726.bb1', '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': [[7349, 2, 7349, 3], [1, 1, 22043, 0], [11023, 2, 11023, 3], [1, 0, 2, 1], [1, 2, 0, 1], [10693, 2, 10693, 3], [12025, 2, 12025, 3], [22043, 2, 22042, 3]], 'adelic_image': '22044.2.0.?', 'conductor': 363726, 'lmfdb_label': '363726.bb1', 'prime': 0}
• lmfdb_iso 363726.bb does not appear in ec_padic