Elliptic curve data - 58482.v2

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '58482z', 'Clabel': '58482z4', 'Cnumber': 4, 'abc_quality': 1.1123490200903752, 'absD': 5825913898231922688, 'adelic_genus': 21, 'adelic_index': 768, 'adelic_level': 9576, 'ainvs': [1, -1, 1, -307640, -133337285], 'analytic_rank': 0, 'bad_primes': [2, 3, 19], 'class_deg': 21, 'class_size': 4, 'cm': 0, 'conductor': 58482, 'degree': 904932, 'elladic_images': ['8.2.0.1', '3.4.0.1', '7.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2908937127949152575329765851', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 21, 'iso_nlabel': 21, 'isogeny_degrees': [1, 3, 7, 21], 'jinv': [-1159088625, 2097152], 'lmfdb_iso': '58482.v', 'lmfdb_label': '58482.v2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -852, 19664], 'min_quad_twist_disc': -19, 'modell_images': ['3B', '7B'], 'modm_images': ['3.4.0.a.1', '7.8.0.a.1', '8.2.0.a.1', '21.64.1.a.1', '24.8.0.a.1', '56.16.0.a.1', '57.8.0-3.a.1.2', '63.192.5.e.3', '168.128.5.?', '399.128.1.?', '456.16.0.?', '504.384.21.?', '1197.384.5.?', '3192.256.5.?', '9576.768.21.?'], 'nonmax_primes': [2, 3, 7], 'nonmax_rad': 42, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 29241], [3, 4, 19], [7, 2, 29241], [19, 182, 162]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.096836017345063048634241494948', 'prec': 110}, 'szpiro_ratio': 4.640933177648703, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 0, 1, 0, 0, 2, 1, 0, 0, 3, 0, -2, 2, 0, 1, 3, 0, 0, 0], 'aplist': [1, 0, 0, 2, 3, -2, 3, 0, 6, 6, 4, 4, 9, -1, 6, 12, 3, 8, -5, -12, 11, 4, -12, 6, -5], 'class_deg': 21, 'class_size': 4, 'conductor': 58482, 'isogeny_matrix': [[1, 3, 21, 7], [3, 1, 7, 21], [21, 7, 1, 3], [7, 21, 3, 1]], 'lmfdb_iso': '58482.v', 'trace_hash': 628424242663751591}
• 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': '0.010236582804220855287172309677', 'prec': 107}, 'conductor': 58482, 'gens': [], 'heights': [], 'lmfdb_label': '58482.v2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.095591640465082621596751608968', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.0222733493002051605953513650093121088', 'prec': 130}, 'tamagawa_product': 63, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': [0, 0, 0], '7': [0, 1], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': 'a', '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '58482.v2'}
• ec_torsion_growth •

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

  
  
  • id: 2812121
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '58482.v2', 'torsion': [3]}
  • id: 2812122
    {'degree': 3, 'field': [-10, -3, 0, 1], 'lmfdb_label': '58482.v2', 'torsion': [2]}
  • id: 2812126
    {'degree': 6, 'field': [-768, 288, 144, -90, -33, 0, 1], 'lmfdb_label': '58482.v2', 'torsion': [6]}
  • id: 2812123
    {'degree': 6, 'field': [8, 0, 9, 0, -6, 0, 1], 'lmfdb_label': '58482.v2', 'torsion': [2, 2]}
  • id: 2812124
    {'degree': 6, 'field': [176, -156, 81, -25, 18, -3, 1], 'lmfdb_label': '58482.v2', 'torsion': [3]}
  • id: 2812125
    {'degree': 6, 'field': [185248, -15624, 9828, -406, 189, 0, 1], 'lmfdb_label': '58482.v2', 'torsion': [7]}
  • id: 2812127
    {'degree': 12, 'field': [-15115724, 8257224, 734772, -285224, -24417, -70938, 26196, 2322, -1872, 166, 12, -6, 1], 'lmfdb_label': '58482.v2', 'torsion': [4]}
  • id: 2812128
    {'degree': 12, 'field': [15472, -20568, 29520, -20410, 16845, -9048, 4907, -1806, 690, -170, 45, -6, 1], 'lmfdb_label': '58482.v2', 'torsion': [3, 3]}
  • id: 2812129
    {'degree': 12, 'field': [1700416, 0, -234000, 0, 81825, 0, -14540, 0, 1350, 0, -60, 0, 1], 'lmfdb_label': '58482.v2', 'torsion': [2, 6]}
  • id: 2812130
    {'degree': 12, 'field': [9033472, 9440256, 353808, -1059072, 341544, 104664, -27187, -12102, 2367, 372, -69, -6, 1], 'lmfdb_label': '58482.v2', 'torsion': [21]}
  • id: 2812131
    {'degree': 18, 'field': [3155536, -95760000, 62380800, 40215000, -54487440, -6766200, 23979873, 451080, -5787450, -10024, 814095, 0, -68412, 0, 3375, 0, -90, 0, 1], 'lmfdb_label': '58482.v2', 'torsion': [9]}
  • id: 2812132
    {'degree': 18, 'field': [3818260, -8642844, 12991950, -13743054, 11894283, -8694765, 5543877, -3050208, 1516338, -662274, 267624, -93762, 30882, -8460, 2196, -432, 81, -9, 1], 'lmfdb_label': '58482.v2', 'torsion': [6]}
  • id: 2812133
    {'degree': 18, 'field': [74099722802176, 1901281832448, 7952865809664, 92233748480, 950879715504, 67632694872, 21532682892, 24424914978, -134872860, 338011635, 178976949, -9898236, 2291408, 82902, 726, 706, 132, -9, 1], 'lmfdb_label': '58482.v2', 'torsion': [14]}
• 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: 1406923
    {'conductor': 58482, 'conductor_valuation': 1, 'discriminant_valuation': 21, 'j_denominator_valuation': 21, 'kodaira_symbol': 25, 'lmfdb_label': '58482.v2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 21}
  • id: 1406924
    {'conductor': 58482, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '58482.v2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 1406925
    {'conductor': 58482, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '58482.v2', 'prime': 19, 'reduction_type': 0, '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: 2052018
    {'adelic_gens': [[7582, 2337, 1197, 3193], [4105, 6954, 0, 1], [5321, 7448, 2128, 7449], [1, 3192, 0, 1], [1, 0, 7980, 1], [8567, 0, 0, 9575], [1, 0, 3192, 1], [3991, 3306, 7980, 799], [1, 1938, 5586, 4789], [1, 0, 1008, 1], [759, 7334, 1064, 1671], [1597, 5586, 1197, 5587], [1, 0, 3990, 1], [8569, 1008, 8568, 8569], [6385, 3192, 6384, 3193], [799, 5586, 6783, 8779], [1, 2736, 0, 1]], 'adelic_image': '9576.768.21.?', 'conductor': 58482, 'lmfdb_label': '58482.v2', 'prime': 0}
  • id: 247672
    {'conductor': 58482, 'elladic_image': '8.2.0.1', 'lmfdb_label': '58482.v2', 'modell_image': '2G', 'prime': 2}
  • id: 247673
    {'conductor': 58482, 'elladic_image': '3.4.0.1', 'lmfdb_label': '58482.v2', 'modell_image': '3B', 'prime': 3}
  • id: 247674
    {'conductor': 58482, 'elladic_image': '7.8.0.1', 'lmfdb_label': '58482.v2', 'modell_image': '7B', 'prime': 7}
• lmfdb_iso 58482.v does not appear in ec_padic