Elliptic curve data - 363090.h2

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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': '363090h', 'Clabel': '363090h1', 'Cnumber': 1, 'abc_quality': 0.99058436225054, 'absD': 7612690176000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 207480, 'ainvs': [1, 1, 0, -485258, -130379052], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 363090, 'degree': 5289984, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9910818533480853777151220896', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [-36842500855568290303, 22194432000000], 'lmfdb_iso': '363090.h', 'lmfdb_label': '363090.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -485258, -130379052], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '798.6.0.?', '3640.6.0.?', '29640.6.0.?', '207480.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.028873112433971753229285975', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5046043160842570514387839037', 'prec': 100}, 'szpiro_ratio': 3.9751867405901367, '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, -1, 1, -1, 1, 0, -1, 1, 1, -2, -1, -1, 0, 1, 1, 6, -1, 1, -1], 'aplist': [-1, -1, -1, 0, -2, -1, 6, 1, -4, 10, -4, -4, 6, -8, 8, 6, 12, -6, 4, 8, 4, -6, -16, 14, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 363090, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '363090.h', 'trace_hash': 1064749349707862829}
• 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': '0.018645252802839700953761785871', 'prec': 107}, 'conductor': 363090, 'gens': [[297867, 35867961, 19]], 'heights': [{'__RealLiteral__': 0, 'data': '12.028873112433971753229285975', 'prec': 100}], 'lmfdb_label': '363090.h2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.090440004437131101752512988091', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3515653506488616463095429921188060374', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[804, -402, 1]], 'xcoord_integral_points': [804]}
• lmfdb_label 363090.h2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15094403
    {'degree': 2, 'field': [100, -1, 1], 'lmfdb_label': '363090.h2', 'torsion': [2, 2]}
  • id: 15094404
    {'degree': 4, 'field': [-18119, -242, 243, -2, 1], 'lmfdb_label': '363090.h2', 'torsion': [4]}
  • id: 15094407
    {'degree': 8, 'field': [-7600, 2173, -2464, 581, -287, -7, 7, -4, 1], 'lmfdb_label': '363090.h2', 'torsion': [6]}
  • id: 15094405
    {'degree': 8, 'field': [134675608, -20524772, -327887, 45514, 45220, -3080, -140, -2, 1], 'lmfdb_label': '363090.h2', 'torsion': [2, 4]}
  • id: 15094406
    {'degree': 8, 'field': [1044517761, 0, 23779602, 0, 129843, 0, 882, 0, 1], 'lmfdb_label': '363090.h2', 'torsion': [2, 4]}
  • id: 15094409
    {'degree': 16, 'field': [21831792700, 13378459300, 39161963039, 24699675982, 10431296396, 2522398940, 559805523, 73517024, 12469965, -61484, 46847, -52240, 333, -1016, 96, -6, 1], 'lmfdb_label': '363090.h2', 'torsion': [2, 6]}
  • id: 15094408
    {'degree': 16, 'field': [2734685968350625, 0, -700864940904615000, 0, -42178246341863500, 0, -9903964695000, 0, 329137633350, 0, 711226200, 0, -24460, 0, -1320, 0, 1], 'lmfdb_label': '363090.h2', 'torsion': [8]}
• 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: 8980870
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '363090.h2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8980871
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '363090.h2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8980872
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '363090.h2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8980873
    {'conductor': 363090, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '363090.h2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8980874
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '363090.h2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8980875
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '363090.h2', 'prime': 19, '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: 3925737
    {'adelic_gens': [[41497, 4, 82994, 9], [1, 2, 2, 5], [1, 0, 4, 1], [77809, 129676, 181544, 25935], [120122, 1, 43679, 0], [1, 4, 0, 1], [3, 4, 8, 11], [207477, 4, 207476, 5], [118564, 1, 177839, 0], [47881, 4, 95762, 9], [138322, 1, 138319, 0], [103741, 4, 2, 9]], 'adelic_image': '207480.12.0.?', 'conductor': 363090, 'lmfdb_label': '363090.h2', 'prime': 0}
  • id: 1249808
    {'conductor': 363090, 'elladic_image': '2.3.0.1', 'lmfdb_label': '363090.h2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 363090.h does not appear in ec_padic