Elliptic curve data - 462.f2

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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': '462g', 'Clabel': '462g3', 'Cnumber': 3, 'abc_quality': 0.9815931506508574, 'absD': 21875235228, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1848, 'ainvs': [1, 0, 0, -823, -11611], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 462, 'degree': 288, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.69498312795828196596327412707', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-61653281712625, 21875235228], 'lmfdb_iso': '462.f', 'lmfdb_label': '462.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -823, -11611], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '14.6.0.b.1', '42.48.0-42.b.1.3', '88.6.0.?', '264.48.0.?', '616.12.0.?', '1848.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.69498312795828196596327412707', 'prec': 103}, 'szpiro_ratio': 5.2530962965166506, '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, 0, 1, 1, 1, 1, 0, -1, 1, 2, 1, 0, 1, 0, 1, 2, 0], 'aplist': [1, 1, 0, 1, -1, 2, 0, 2, 0, -6, 2, 2, 0, -4, -6, -6, 0, 2, -4, -12, -4, 8, 6, -6, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 462, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '462.f', 'trace_hash': 1927090309509610164}
• 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': '0.24908370959133757546160978217', 'prec': 103}, 'conductor': 462, 'gens': [], 'heights': [], 'lmfdb_label': '462.f2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.43786771247247326225742591310', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6272062748348395735445554785774572760', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[34, -17, 1]], 'xcoord_integral_points': [34]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [1, 1], '7': [1, 0], '11': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '462.f2'}
• ec_torsion_growth •

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

  
  
  • id: 20965
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '462.f2', 'torsion': [6]}
  • id: 20964
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '462.f2', 'torsion': [2, 2]}
  • id: 20966
    {'degree': 3, 'field': [-6, 0, 0, 1], 'lmfdb_label': '462.f2', 'torsion': [6]}
  • id: 20967
    {'degree': 4, 'field': [-6, 8, -7, -2, 1], 'lmfdb_label': '462.f2', 'torsion': [4]}
  • id: 20968
    {'degree': 4, 'field': [4, -2, -1, -1, 1], 'lmfdb_label': '462.f2', 'torsion': [2, 6]}
  • id: 20969
    {'degree': 6, 'field': [48, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '462.f2', 'torsion': [3, 6]}
  • id: 20970
    {'degree': 6, 'field': [74, -66, 0, -1, 9, -3, 1], 'lmfdb_label': '462.f2', 'torsion': [2, 6]}
  • id: 20972
    {'degree': 8, 'field': [28, 84, 28, -70, 95, -32, 12, -2, 1], 'lmfdb_label': '462.f2', 'torsion': [2, 4]}
  • id: 20973
    {'degree': 8, 'field': [36, -48, 22, -80, 71, -2, 11, -2, 1], 'lmfdb_label': '462.f2', 'torsion': [12]}
  • id: 20971
    {'degree': 8, 'field': [196, 0, 476, 0, 53, 0, -10, 0, 1], 'lmfdb_label': '462.f2', 'torsion': [2, 4]}
  • id: 20975
    {'degree': 12, 'field': [-13692, -19152, -6336, -1780, 11454, -4572, 1169, -678, 57, 76, -9, -6, 1], 'lmfdb_label': '462.f2', 'torsion': [12]}
  • id: 20974
    {'degree': 12, 'field': [196, 588, 1260, 2212, 2220, -1698, 455, 33, -30, 23, 0, -3, 1], 'lmfdb_label': '462.f2', 'torsion': [6, 6]}
  • id: 20978
    {'degree': 16, 'field': [3969, -5292, 2646, 2940, -3437, 518, 2170, -1344, -306, 754, -144, -130, 69, 12, -8, -2, 1], 'lmfdb_label': '462.f2', 'torsion': [2, 12]}
  • id: 20977
    {'degree': 16, 'field': [26569, 0, -29354, 0, -9703, 0, 23682, 0, 2828, 0, -30, 0, 113, 0, 22, 0, 1], 'lmfdb_label': '462.f2', 'torsion': [2, 12]}
  • id: 20976
    {'degree': 16, 'field': [76598784, 94666752, -102874752, 10139520, 10828648, -19649888, 7477728, -744544, 122393, 42840, -8436, -696, 662, -280, 60, -8, 1], 'lmfdb_label': '462.f2', 'torsion': [8]}
  • id: 20979
    {'degree': 18, 'field': [918330048, 0, 0, -218245104, 0, 0, 12040164, 0, 0, 386694, 0, 0, 12387, 0, 0, -231, 0, 0, 1], 'lmfdb_label': '462.f2', 'torsion': [18]}
• 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: 5073
    {'conductor': 462, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '462.f2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5074
    {'conductor': 462, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '462.f2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5075
    {'conductor': 462, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '462.f2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 5076
    {'conductor': 462, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '462.f2', 'prime': 11, '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: 1667858
    {'adelic_gens': [[617, 12, 1540, 1], [1066, 3, 1557, 1840], [543, 850, 1022, 1325], [925, 12, 6, 73], [1, 0, 12, 1], [11, 2, 1798, 1839], [1837, 12, 1836, 13], [1, 6, 6, 37], [673, 12, 342, 73], [1, 12, 0, 1]], 'adelic_image': '1848.96.1.?', 'conductor': 462, 'lmfdb_label': '462.f2', 'prime': 0}
  • id: 2083
    {'conductor': 462, 'elladic_image': '2.3.0.1', 'lmfdb_label': '462.f2', 'modell_image': '2B', 'prime': 2}
  • id: 2084
    {'conductor': 462, 'elladic_image': '3.8.0.2', 'lmfdb_label': '462.f2', 'modell_image': '3B.1.2', 'prime': 3}
• lmfdb_iso 462.f does not appear in ec_padic