Elliptic curve data - 363090.d2

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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': '363090d', 'Clabel': '363090d1', 'Cnumber': 1, 'abc_quality': 1.0083779469953558, 'absD': 453410351923838400000000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 207480, 'ainvs': [1, 1, 0, -8478783723, 302240513182077], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 363090, 'degree': 877879296, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.5255941628021527687376274245', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [-572975621510210833793129957161, 3853924401600000000000000], 'lmfdb_iso': '363090.d', 'lmfdb_label': '363090.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -173036403, -881192396402], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '520.6.0.?', '798.6.0.?', '207480.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.326037286855750651872941656', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.5526390882744961161849510528', 'prec': 100}, 'szpiro_ratio': 6.265045589674557, '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, -4, -1, -1, 0, 1, 1, -6, -1, 1, -1], 'aplist': [-1, -1, -1, 0, -4, -1, -6, 1, 6, -6, 8, 0, -8, -4, -8, -6, -4, 0, -6, 12, 2, 12, -12, -8, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 363090, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '363090.d', 'trace_hash': 1899963410419106381}
• 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': '0.00011725162099639237293613787039', 'prec': 113}, 'conductor': 363090, 'gens': [[920429, 878332711, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '10.326037286855750651872941656', 'prec': 100}], 'lmfdb_label': '363090.d2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.029822030362151876784138342490', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4635471799145966783238113986624648388', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-106394, 53197, 1]], 'xcoord_integral_points': [-106394, 920429]}
• lmfdb_label 363090.d2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15094315
    {'degree': 2, 'field': [100, -1, 1], 'lmfdb_label': '363090.d2', 'torsion': [2, 2]}
  • id: 15094316
    {'degree': 4, 'field': [2729, -634, -15, -2, 1], 'lmfdb_label': '363090.d2', 'torsion': [4]}
  • id: 15094319
    {'degree': 8, 'field': [-5623432, 3357632, -825244, 166307, -23488, 2555, -89, -2, 1], 'lmfdb_label': '363090.d2', 'torsion': [6]}
  • id: 15094318
    {'degree': 8, 'field': [3572100, 2381400, 512190, 190260, 63039, 1446, -185, -2, 1], 'lmfdb_label': '363090.d2', 'torsion': [2, 4]}
  • id: 15094317
    {'degree': 8, 'field': [17629816, -11284292, 2647513, -242342, 31612, -3512, 148, -2, 1], 'lmfdb_label': '363090.d2', 'torsion': [2, 4]}
  • id: 15094321
    {'degree': 16, 'field': [38070419666560, -4700791177544, 4944576592320, -494013659556, 263192603643, -19643264874, 6914911624, -314537522, 78362490, 277140, -151260, 52194, -8608, -70, 30, -8, 1], 'lmfdb_label': '363090.d2', 'torsion': [2, 6]}
  • id: 15094320
    {'degree': 16, 'field': [7657636874560224111, -2043730284689578800, 2146936117973815456, -204280091290006992, 96812318659088532, 6389882150958936, -2124313800597748, -4833270452560, 1199632330337, 5799182392, -1168809152, 4867208, -788694, -10416, 1508, -8, 1], 'lmfdb_label': '363090.d2', '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: 8980816
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 18, 'j_denominator_valuation': 18, 'kodaira_symbol': 22, 'lmfdb_label': '363090.d2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8980817
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '363090.d2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8980818
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '363090.d2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8980819
    {'conductor': 363090, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '363090.d2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8980820
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '363090.d2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8980821
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '363090.d2', '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: 3925499
    {'adelic_gens': [[1, 2, 2, 5], [41497, 4, 82994, 9], [1, 4, 0, 1], [103741, 4, 2, 9], [25937, 181546, 181544, 25935], [59282, 1, 177839, 0], [120122, 1, 43679, 0], [138322, 1, 138319, 0], [47881, 4, 95762, 9], [1, 0, 4, 1], [207477, 4, 207476, 5], [3, 4, 8, 11]], 'adelic_image': '207480.12.0.?', 'conductor': 363090, 'lmfdb_label': '363090.d2', 'prime': 0}
  • id: 1249595
    {'conductor': 363090, 'elladic_image': '2.3.0.1', 'lmfdb_label': '363090.d2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 363090.d does not appear in ec_padic