Elliptic curve data - 60984.s3

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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': '60984bh', 'Clabel': '60984bh1', 'Cnumber': 1, 'abc_quality': 0.9302571953252023, 'absD': 433933237584, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [0, 0, 0, -7986, -272855], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 60984, 'degree': 92160, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0620655952423893518123126156', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [2725888, 21], 'lmfdb_iso': '60984.s', 'lmfdb_label': '60984.s3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -7, -10], 'min_quad_twist_disc': 33, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.z.1', '42.6.0.a.1', '44.12.0-4.c.1.2', '56.12.0.ba.1', '84.12.0.?', '168.24.0.?', '264.24.0.?', '616.24.0.?', '924.24.0.?', '1848.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.91723724567749920238869249900', 'prec': 107}, 'szpiro_ratio': 3.5005132382911572, '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, 0, 0, 0, -2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, 0, -2, 1, 0, 2, 6, 4, 4, 6, -8, -10, -10, -12, 8, -6, -4, 10, 12, -4, -2, -8, 4, -6, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 60984, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '60984.s', 'trace_hash': 1826787133009792639}
• 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': '0.11953677785482994556209642397', 'prec': 103}, 'conductor': 60984, 'gens': [], 'heights': [], 'lmfdb_label': '60984.s3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.50526470325089219547787222240', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0210588130035687819114888896032714064', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-55, 0, 1]], 'xcoord_integral_points': [-55]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '7': [1, 0], '11': 'a'}, 'iwp0': 3, 'lmfdb_label': '60984.s3'}
• ec_torsion_growth •

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

  
  
  • id: 2923123
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '60984.s3', 'torsion': [2, 2]}
  • id: 2923124
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '60984.s3', 'torsion': [4]}
  • id: 2923125
    {'degree': 2, 'field': [58, -1, 1], 'lmfdb_label': '60984.s3', 'torsion': [4]}
  • id: 2923126
    {'degree': 4, 'field': [64, 0, -5, 0, 1], 'lmfdb_label': '60984.s3', 'torsion': [2, 4]}
  • id: 2923130
    {'degree': 8, 'field': [-35639, -13072, 4, 1096, 626, -92, 4, -4, 1], 'lmfdb_label': '60984.s3', 'torsion': [6]}
  • id: 2923128
    {'degree': 8, 'field': [300, 420, -294, -270, 181, -58, 24, -4, 1], 'lmfdb_label': '60984.s3', 'torsion': [8]}
  • id: 2923127
    {'degree': 8, 'field': [17161, 0, -11834, 0, 1587, 0, -86, 0, 1], 'lmfdb_label': '60984.s3', 'torsion': [2, 4]}
  • id: 2923129
    {'degree': 8, 'field': [53650, -1620, 2092, -950, 491, -22, 12, -4, 1], 'lmfdb_label': '60984.s3', 'torsion': [8]}
  • id: 2923133
    {'degree': 16, 'field': [3600, -12240, 24696, -36648, 36048, 1716, -16182, 4434, 2401, -694, 40, -502, 211, 20, -8, -4, 1], 'lmfdb_label': '60984.s3', 'torsion': [2, 8]}
  • id: 2923135
    {'degree': 16, 'field': [64713, 4752, 135336, 10272, 73722, 30180, 9256, 16548, 535, 2312, 796, -100, 178, -28, 16, 0, 1], 'lmfdb_label': '60984.s3', 'torsion': [12]}
  • id: 2923132
    {'degree': 16, 'field': [1480900, -1561280, 2236072, -1491416, 1126334, -509372, 260496, -91454, 40529, -14134, 5130, -982, -4, 98, -14, -4, 1], 'lmfdb_label': '60984.s3', 'torsion': [2, 8]}
  • id: 2923131
    {'degree': 16, 'field': [11437924, 0, -8952528, 0, 2721316, 0, -333972, 0, 4821, 0, 180, 0, 430, 0, 24, 0, 1], 'lmfdb_label': '60984.s3', 'torsion': [4, 4]}
  • id: 2923134
    {'degree': 16, 'field': [703637361, -1016803368, 396800370, -14166252, -4110876, 2692764, -7915644, 3701376, -455787, -96444, 10800, 1908, 2016, -456, 18, 0, 1], 'lmfdb_label': '60984.s3', 'torsion': [2, 6]}
  • id: 2923136
    {'degree': 16, 'field': [2372761521, 0, -437411040, 0, 59789452, 0, -5681280, 0, 586902, 0, -19360, 0, 1068, 0, 0, 0, 1], 'lmfdb_label': '60984.s3', 'torsion': [12]}
• 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: 1468669
    {'conductor': 60984, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '60984.s3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1468670
    {'conductor': 60984, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '60984.s3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1468671
    {'conductor': 60984, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '60984.s3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1468672
    {'conductor': 60984, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '60984.s3', 'prime': 11, 'reduction_type': 0, '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: 2068152
    {'adelic_gens': [[1616, 165, 275, 670], [1, 0, 8, 1], [617, 1452, 110, 23], [1, 8, 0, 1], [1841, 8, 1840, 9], [1, 4, 4, 17], [7, 6, 1842, 1843], [628, 1177, 671, 342], [1175, 0, 0, 1847], [67, 66, 1210, 1123]], 'adelic_image': '1848.48.0.?', 'conductor': 60984, 'lmfdb_label': '60984.s3', 'prime': 0}
  • id: 257182
    {'conductor': 60984, 'elladic_image': '4.6.0.1', 'lmfdb_label': '60984.s3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 60984.s does not appear in ec_padic