Elliptic curve data - 363090.h1

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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': '363090h2', 'Cnumber': 2, 'abc_quality': 1.0182700021994036, 'absD': 18775529136000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 207480, 'ainvs': [1, 1, 0, -7765258, -8332027052], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 363090, 'degree': 10579968, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3376554436280580324237381503', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [150972326828144877730303, 54739152000], 'lmfdb_iso': '363090.h', 'lmfdb_label': '363090.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -7765258, -8332027052], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '1596.6.0.?', '3640.6.0.?', '29640.6.0.?', '207480.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '24.057746224867943506458571951', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8511779063642297061473999644', 'prec': 100}, 'szpiro_ratio': 4.624842695831615, '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': '0.0093226264014198504768808929356', 'prec': 110}, 'conductor': 363090, 'gens': [[27431145163, 4531003199116342, 627]], 'heights': [{'__RealLiteral__': 0, 'data': '24.057746224867943506458571951', 'prec': 100}], 'lmfdb_label': '363090.h1', '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': 8, 'torsion_generators': [[-6437, 6437, 2]], 'xcoord_integral_points': []}
• lmfdb_label 363090.h1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15094410
    {'degree': 2, 'field': [-910, 0, 1], 'lmfdb_label': '363090.h1', 'torsion': [2, 2]}
  • id: 15094411
    {'degree': 4, 'field': [91000, 0, -70, 0, 1], 'lmfdb_label': '363090.h1', 'torsion': [4]}
  • id: 15094414
    {'degree': 8, 'field': [-7600, 2173, -2464, 581, -287, -7, 7, -4, 1], 'lmfdb_label': '363090.h1', 'torsion': [6]}
  • id: 15094412
    {'degree': 8, 'field': [17533161, -69927204, 69112330, 1629264, -813421, -1456, 490, -4, 1], 'lmfdb_label': '363090.h1', 'torsion': [2, 4]}
  • id: 15094413
    {'degree': 8, 'field': [14189537350, 955605500, 79518110, 12015360, 288071, -16464, -574, -4, 1], 'lmfdb_label': '363090.h1', 'torsion': [2, 4]}
  • id: 15094416
    {'degree': 16, 'field': [-71330704195009000, 427707991595914400, -417041745378283221, -21233819354074824, 10370709065277792, 294092266036590, -95787468087395, -1914506120576, 468254070705, 6888621550, -1351406315, -14312760, 2350061, 16310, -2310, -8, 1], 'lmfdb_label': '363090.h1', 'torsion': [2, 6]}
  • id: 15094415
    {'degree': 16, 'field': [64008494001000000, 0, 20116334260080000, 0, 6744777508638000, 0, -57665808478800, 0, 247443500700, 0, -725977440, 0, 1282305, 0, -1293, 0, 1], 'lmfdb_label': '363090.h1', '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: 8980876
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '363090.h1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8980877
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '363090.h1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8980878
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '363090.h1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8980879
    {'conductor': 363090, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '363090.h1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8980880
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '363090.h1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8980881
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '363090.h1', '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: 3925736
    {'adelic_gens': [[1, 2, 2, 5], [95762, 1, 159599, 0], [1, 4, 0, 1], [163801, 4, 120122, 9], [82994, 1, 165983, 0], [69161, 4, 138322, 9], [129676, 77809, 181545, 25936], [2, 1, 103739, 0], [1, 0, 4, 1], [207477, 4, 207476, 5], [3, 4, 8, 11], [118564, 1, 177839, 0]], 'adelic_image': '207480.12.0.?', 'conductor': 363090, 'lmfdb_label': '363090.h1', 'prime': 0}
  • id: 1249807
    {'conductor': 363090, 'elladic_image': '2.3.0.1', 'lmfdb_label': '363090.h1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 363090.h does not appear in ec_padic