Elliptic curve data - 363090.q3

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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': '363090q', 'Clabel': '363090q3', 'Cnumber': 3, 'abc_quality': 0.9279933451808636, 'absD': 50286041843053202550, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 13832, 'ainvs': [1, 1, 0, -436468, -358959362], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 363090, 'degree': 12582912, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4644151428776645510967192017', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [-78161746041159481, 427424303164950], 'lmfdb_iso': '363090.q', 'lmfdb_label': '363090.q3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -8908, 1045256], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '56.12.0-4.c.1.2', '104.12.0.?', '152.12.0.?', '532.12.0.?', '728.24.0.?', '1064.24.0.?', '1976.24.0.?', '13832.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4914600683500078985440428300', 'prec': 100}, 'szpiro_ratio': 4.133564536632507, '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, 0, -1, 1, 0, 1, 1, 6, -1, 1, -1], 'aplist': [-1, -1, -1, 0, 0, 1, 6, 1, 0, -6, 4, -6, -2, 12, -8, 10, -4, -2, -4, 0, -10, 12, 4, 14, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 363090, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '363090.q', 'trace_hash': 555356668573075269}
• 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': '0.0072349611708964103517034079840', 'prec': 110}, 'conductor': 363090, 'gens': [], 'heights': [], 'lmfdb_label': '363090.q3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.083470619644728515580994988841', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3355299143156562492959198214632156609', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[3643, -3643, 2]], 'xcoord_integral_points': []}
• lmfdb_label 363090.q3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15094782
    {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '363090.q3', 'torsion': [4]}
  • id: 15094781
    {'degree': 2, 'field': [38, 0, 1], 'lmfdb_label': '363090.q3', 'torsion': [2, 2]}
  • id: 15094783
    {'degree': 2, 'field': [133, 0, 1], 'lmfdb_label': '363090.q3', 'torsion': [4]}
  • id: 15094784
    {'degree': 4, 'field': [169, 0, 12, 0, 1], 'lmfdb_label': '363090.q3', 'torsion': [2, 4]}
  • id: 15094788
    {'degree': 8, 'field': [-5140443, 0, 393736, 0, -7854, 0, 0, 0, 1], 'lmfdb_label': '363090.q3', 'torsion': [6]}
  • id: 15094787
    {'degree': 8, 'field': [176400, 0, 52108, 0, 1185, 0, 90, 0, 1], 'lmfdb_label': '363090.q3', 'torsion': [8]}
  • id: 15094785
    {'degree': 8, 'field': [16736496, -5958400, 564272, -18240, 8348, -1520, 52, 0, 1], 'lmfdb_label': '363090.q3', 'torsion': [2, 4]}
  • id: 15094786
    {'degree': 8, 'field': [152522500, 0, 3458000, 0, -10300, 0, -280, 0, 1], 'lmfdb_label': '363090.q3', 'torsion': [8]}
  • id: 15094791
    {'degree': 16, 'field': [77000625, 0, 150204600, 0, 84672526, 0, -2166972, 0, -337041, 0, 13532, 0, 1110, 0, 36, 0, 1], 'lmfdb_label': '363090.q3', 'torsion': [2, 8]}
  • id: 15094789
    {'degree': 16, 'field': [1094180852961, 779083888800, 277363520000, 47763821840, 608911762, -2027746120, -555651200, -63453920, 2779863, 2212360, 288800, 15200, -3498, -760, 0, 0, 1], 'lmfdb_label': '363090.q3', 'torsion': [4, 4]}
  • id: 15094794
    {'degree': 16, 'field': [2633094013550, 268542384110, -229874590491, -78899172030, 43376981760, -4764941496, 1676455537, -78302792, 23072205, -2417450, 569983, -47256, 7967, -70, 30, -8, 1], 'lmfdb_label': '363090.q3', 'torsion': [12]}
  • id: 15094793
    {'degree': 16, 'field': [4058967737344, 0, -2409229194112, 0, 343114994560, 0, -843662496, 0, 53666160, 0, 1158936, 0, -740, 0, -28, 0, 1], 'lmfdb_label': '363090.q3', 'torsion': [12]}
  • id: 15094790
    {'degree': 16, 'field': [254930615429841, 13677420875976, -12997721780224, -1340720669496, 624052708748, 54493182616, -16387058736, -1491704128, 333637853, 25619496, -4555604, -304488, 46198, 2072, -276, -8, 1], 'lmfdb_label': '363090.q3', 'torsion': [2, 8]}
  • id: 15094792
    {'degree': 16, 'field': [861918645119401, 0, 52340230442944, 0, 742056029764, 0, 26781883632, 0, 193952766, 0, 5054112, 0, 24724, 0, 304, 0, 1], 'lmfdb_label': '363090.q3', '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: 8981056
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '363090.q3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8981057
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '363090.q3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8981058
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '363090.q3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8981059
    {'conductor': 363090, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '363090.q3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8981060
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '363090.q3', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8981061
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '363090.q3', '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: 3925873
    {'adelic_gens': [[13825, 8, 13824, 9], [7, 6, 13826, 13827], [11855, 13824, 5924, 13799], [6385, 8, 11708, 33], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [5100, 1, 5119, 6], [12104, 5195, 8649, 8678], [12107, 12104, 5210, 12109]], 'adelic_image': '13832.48.0.?', 'conductor': 363090, 'lmfdb_label': '363090.q3', 'prime': 0}
  • id: 1249935
    {'conductor': 363090, 'elladic_image': '4.6.0.1', 'lmfdb_label': '363090.q3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 363090.q does not appear in ec_padic