Elliptic curve data - 363726.bf2

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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': '363726bf', 'Clabel': '363726bf2', 'Cnumber': 2, 'abc_quality': 0.9792050240590693, 'absD': 18016721502184944822647034, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 44088, 'ainvs': [1, -1, 0, -22870656, 208518673842], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 167], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 363726, 'degree': 71368704, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5276980077050024436014854854', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2], 'jinv': [-769658186424707, 10481273909406], 'lmfdb_iso': '363726.bf', 'lmfdb_label': '363726.bf2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -21002, 5800430], 'min_quad_twist_disc': 33, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '132.6.0.?', '4008.6.0.?', '14696.6.0.?', '44088.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 16, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1799704087721696898574051835', 'prec': 100}, 'szpiro_ratio': 5.127216426893589, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• 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, 2, 0, 0, -1, 0, -2, 0, 0, 0, 0, 0, 1, -2, 0, 2, 2], 'aplist': [-1, 0, 2, 0, 0, 0, -2, 2, 8, -2, -8, 2, -2, -8, 10, 10, 10, -14, 4, -4, 2, 2, 4, 6, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 363726, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '363726.bf', 'trace_hash': 2097973342756128811}
• 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': '0.00086274101068891075659379460207', 'prec': 113}, 'conductor': 363726, 'gens': [], 'heights': [], 'lmfdb_label': '363726.bf2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.058477877079804135665471315850', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '16.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8712920665537323412950821071860137042', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-28797, 28797, 2]], 'xcoord_integral_points': []}
• lmfdb_label 363726.bf2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15121278
    {'degree': 2, 'field': [3674, 0, 1], 'lmfdb_label': '363726.bf2', 'torsion': [2, 2]}
  • id: 15121279
    {'degree': 4, 'field': [-3674, 0, -77, 0, 1], 'lmfdb_label': '363726.bf2', 'torsion': [4]}
  • id: 15121282
    {'degree': 8, 'field': [-6673322, -432859, 423838, 18041, -9017, -7, 7, -4, 1], 'lmfdb_label': '363726.bf2', 'torsion': [6]}
  • id: 15121281
    {'degree': 8, 'field': [376069368, 4649328, -4581668, -134980, 66641, 1016, -334, -4, 1], 'lmfdb_label': '363726.bf2', 'torsion': [2, 4]}
  • id: 15121280
    {'degree': 8, 'field': [41374000836, 0, -538146144, 0, 2429182, 0, 1336, 0, 1], 'lmfdb_label': '363726.bf2', 'torsion': [2, 4]}
  • id: 15121283
    {'degree': 16, 'field': [47612878470369, 27162805169700, 3746716421166, -6896469079512, 1503873732153, -236649634752, 34423594350, -2125353636, 281619196, -6913084, -2056898, 196736, -49775, 1496, -50, -4, 1], 'lmfdb_label': '363726.bf2', 'torsion': [8]}
  • id: 15121284
    {'degree': 16, 'field': [262004481446778990144, 0, 4570540503598880712, 0, 4860415754173044, 0, -74878618320000, 0, -125712344844, 0, 1105969524, 0, -1557108, 0, 0, 0, 1], 'lmfdb_label': '363726.bf2', 'torsion': [2, 6]}
• 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: 8998091
    {'conductor': 363726, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '363726.bf2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8998092
    {'conductor': 363726, 'conductor_valuation': 2, 'discriminant_valuation': 28, 'j_denominator_valuation': 22, 'kodaira_symbol': -26, 'lmfdb_label': '363726.bf2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8998093
    {'conductor': 363726, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '363726.bf2', 'prime': 11, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8998094
    {'conductor': 363726, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '363726.bf2', '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

  
  
  • id: 3929432
    {'adelic_gens': [[27556, 16537, 38577, 5512], [44085, 4, 44084, 5], [1, 2, 2, 5], [29393, 4, 14698, 9], [1, 4, 0, 1], [1, 0, 4, 1], [3, 4, 8, 11], [2, 1, 22043, 0], [21386, 1, 11351, 0], [4012, 1, 32063, 0]], 'adelic_image': '44088.12.0.?', 'conductor': 363726, 'lmfdb_label': '363726.bf2', 'prime': 0}
  • id: 1251561
    {'conductor': 363726, 'elladic_image': '2.3.0.1', 'lmfdb_label': '363726.bf2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 363726.bf does not appear in ec_padic