Elliptic curve data - 363090.q2

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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': '363090q2', 'Cnumber': 2, 'abc_quality': 0.9062195898396587, 'absD': 71220210702322500, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 13832, 'ainvs': [1, 1, 0, -669218, -210604512], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 363090, 'degree': 6291456, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1178415525976918963881031410', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2], 'jinv': [281734042678323481, 605361802500], 'lmfdb_iso': '363090.q', 'lmfdb_label': '363090.q2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -13658, 612056], 'min_quad_twist_disc': -7, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '52.12.0-2.a.1.1', '56.12.0-2.a.1.1', '152.12.0.?', '532.12.0.?', '728.24.0.?', '1064.24.0.?', '1976.24.0.?', '6916.24.0.?', '13832.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1448864780700352438354267693', 'prec': 100}, 'szpiro_ratio': 4.050426204080059, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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': '0.014469922341792820703406815968', 'prec': 107}, 'conductor': 363090, 'gens': [], 'heights': [], 'lmfdb_label': '363090.q2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.16694123928945703116198997768', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3355299143156562492959198214632156609', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-456, 228, 1], [944, -472, 1]], 'xcoord_integral_points': [-456, 944]}
• lmfdb_label 363090.q2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15094773
    {'degree': 4, 'field': [36, 0, 26, 0, 1], 'lmfdb_label': '363090.q2', 'torsion': [2, 4]}
  • id: 15094774
    {'degree': 4, 'field': [107, 34, -33, -2, 1], 'lmfdb_label': '363090.q2', 'torsion': [2, 4]}
  • id: 15094775
    {'degree': 4, 'field': [900, 0, 73, 0, 1], 'lmfdb_label': '363090.q2', 'torsion': [2, 4]}
  • id: 15094776
    {'degree': 8, 'field': [-5140443, 0, 393736, 0, -7854, 0, 0, 0, 1], 'lmfdb_label': '363090.q2', 'torsion': [2, 6]}
  • id: 15094777
    {'degree': 16, 'field': [2683044, 1788696, 1949220, -556920, 1284266, -511888, 102978, -45656, -17547, -5876, 1366, -416, 632, -52, 28, 0, 1], 'lmfdb_label': '363090.q2', 'torsion': [4, 4]}
  • id: 15094780
    {'degree': 16, 'field': [12836629562500, -3875994442500, 2072404888050, -482218452450, 165980344981, -31247612154, 7676519196, -923865804, 221512299, -14541840, 4773426, -63954, 60475, -114, 384, 0, 1], 'lmfdb_label': '363090.q2', 'torsion': [2, 8]}
  • id: 15094778
    {'degree': 16, 'field': [25716072078736, 17911485196800, 3511208348864, -129292780800, -67782349760, 8496192000, 1551101856, -787603200, -13052136, 13315200, -202224, -91200, 10000, 0, -136, 0, 1], 'lmfdb_label': '363090.q2', 'torsion': [2, 8]}
  • id: 15094779
    {'degree': 16, 'field': [480767545068721, -519990497944, 8142164672236, -14886971805376, 6554538851438, 1054161894776, -330458269176, -17881672408, 4397804543, 49565176, -11066064, 624952, -100822, -1568, 244, -8, 1], 'lmfdb_label': '363090.q2', 'torsion': [2, 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: 8981050
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '363090.q2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8981051
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '363090.q2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8981052
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '363090.q2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8981053
    {'conductor': 363090, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '363090.q2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8981054
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '363090.q2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8981055
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '363090.q2', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 3925872
    {'adelic_gens': [[1, 0, 4, 1], [11855, 13830, 0, 13831], [1, 4, 0, 1], [13829, 4, 13828, 5], [11649, 4, 9466, 9], [6385, 2, 0, 1], [6919, 2, 13830, 13831], [3461, 2, 13824, 13827]], 'adelic_image': '13832.48.0.?', 'conductor': 363090, 'lmfdb_label': '363090.q2', 'prime': 0}
  • id: 1249934
    {'conductor': 363090, 'elladic_image': '2.6.0.1', 'lmfdb_label': '363090.q2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 363090.q does not appear in ec_padic