Elliptic curve data - 141120.eg7

Formats: - HTML - YAML - JSON - 2024-05-03T14:23:28.761158

• 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': '141120lz', 'Clabel': '141120lz1', 'Cnumber': 1, 'abc_quality': 0.9899732793274963, 'absD': 135977631693668352000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 0, 0, -14042028, 20245391152], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 141120, 'degree': 7077888, 'elladic_images': ['8.12.0.8', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8217936711180779879380486374', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 110, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [13619385906841, 6048000], 'lmfdb_iso': '141120.eg', 'lmfdb_label': '141120.eg7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -498, 4228], 'min_quad_twist_disc': 168, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '8.12.0-4.c.1.4', '12.24.0.g.1', '24.96.0-24.bt.1.12', '40.24.0-40.ba.1.6', '60.48.0.c.2', '84.48.0.?', '120.192.1.?', '168.192.1.?', '210.24.0.?', '420.96.1.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.9595107138710683312481803880', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.25981168141644852556190146503', 'prec': 103}, 'szpiro_ratio': 5.1433260866453, '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, -1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -6, 0, 8, 0], 'aplist': [0, 0, -1, 0, 0, 2, -6, 8, 0, 6, 4, 10, -6, 4, 0, -6, 12, -10, 4, -12, 10, 8, -12, -6, 10], 'class_deg': 12, 'class_size': 8, 'conductor': 141120, 'isogeny_matrix': [[1, 2, 4, 3, 4, 6, 12, 12], [2, 1, 2, 6, 2, 3, 6, 6], [4, 2, 1, 12, 4, 6, 12, 3], [3, 6, 12, 1, 12, 2, 4, 4], [4, 2, 4, 12, 1, 6, 3, 12], [6, 3, 6, 2, 6, 1, 2, 2], [12, 6, 12, 4, 3, 2, 1, 4], [12, 6, 3, 4, 12, 2, 4, 1]], 'lmfdb_iso': '141120.eg', 'trace_hash': 1678633932915663668}
• 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': '0.0035401458849909653325024844203', 'prec': 110}, 'conductor': 141120, 'gens': [[-168, 150332, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.9595107138710683312481803880', 'prec': 100}], 'lmfdb_label': '141120.eg7', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.18156305419407926466370311898', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.2037113001495161672316602018187225227', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[2198, 0, 1]], 'xcoord_integral_points': [-168, 2198]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': 'a', '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '141120.eg7'}
• ec_torsion_growth •

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

  
  
  • id: 6378237
    {'degree': 2, 'field': [-210, 0, 1], 'lmfdb_label': '141120.eg7', 'torsion': [4]}
  • id: 6378238
    {'degree': 2, 'field': [-42, 0, 1], 'lmfdb_label': '141120.eg7', 'torsion': [6]}
  • id: 6378235
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '141120.eg7', 'torsion': [2, 2]}
  • id: 6378236
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '141120.eg7', 'torsion': [4]}
  • id: 6378241
    {'degree': 4, 'field': [7, 14, -13, -2, 1], 'lmfdb_label': '141120.eg7', 'torsion': [12]}
  • id: 6378240
    {'degree': 4, 'field': [64, 0, -26, 0, 1], 'lmfdb_label': '141120.eg7', 'torsion': [2, 6]}
  • id: 6378239
    {'degree': 4, 'field': [574, 56, -55, -2, 1], 'lmfdb_label': '141120.eg7', 'torsion': [2, 4]}
  • id: 6378242
    {'degree': 4, 'field': [1639, 86, -85, -2, 1], 'lmfdb_label': '141120.eg7', 'torsion': [12]}
  • id: 6378243
    {'degree': 6, 'field': [126, 0, 84, 0, 14, 0, 1], 'lmfdb_label': '141120.eg7', 'torsion': [6]}
  • id: 6378247
    {'degree': 8, 'field': [-89, 292, -44, -464, 153, 92, -26, -4, 1], 'lmfdb_label': '141120.eg7', 'torsion': [2, 12]}
  • id: 6378245
    {'degree': 8, 'field': [28, 280, -112, -308, 85, 80, -22, -4, 1], 'lmfdb_label': '141120.eg7', 'torsion': [24]}
  • id: 6378246
    {'degree': 8, 'field': [196, 784, 4032, -1848, 1240, -192, 72, -4, 1], 'lmfdb_label': '141120.eg7', 'torsion': [8]}
  • id: 6378244
    {'degree': 8, 'field': [55696, 0, 1418, 0, -471, 0, 2, 0, 1], 'lmfdb_label': '141120.eg7', 'torsion': [2, 4]}
  • id: 6378250
    {'degree': 12, 'field': [64, 0, 32, 0, 128, 0, -34, 0, 32, 0, 2, 0, 1], 'lmfdb_label': '141120.eg7', 'torsion': [12]}
  • id: 6378249
    {'degree': 12, 'field': [1296, 0, 2376, 0, 1836, 0, 174, 0, -80, 0, -2, 0, 1], 'lmfdb_label': '141120.eg7', 'torsion': [2, 6]}
  • id: 6378251
    {'degree': 12, 'field': [4110, -8580, 10726, -10080, 20464, -21232, 11773, -4342, 1489, -280, 67, -6, 1], 'lmfdb_label': '141120.eg7', 'torsion': [12]}
  • id: 6378248
    {'degree': 12, 'field': [15876, 0, -10584, 0, 5292, 0, -924, 0, 112, 0, -14, 0, 1], 'lmfdb_label': '141120.eg7', 'torsion': [3, 6]}
  • id: 6378253
    {'degree': 16, 'field': [1521, 0, -18558, 0, 48309, 0, -50322, 0, 25084, 0, -6422, 0, 837, 0, -50, 0, 1], 'lmfdb_label': '141120.eg7', 'torsion': [2, 24]}
  • id: 6378256
    {'degree': 16, 'field': [194481, 0, 0, 0, 6174, 0, 0, 0, 392611, 0, 0, 0, 974, 0, 0, 0, 1], 'lmfdb_label': '141120.eg7', 'torsion': [24]}
  • id: 6378254
    {'degree': 16, 'field': [1136356, 0, -90612, 0, 146245, 0, 12438, 0, 14379, 0, 432, 0, 235, 0, -18, 0, 1], 'lmfdb_label': '141120.eg7', 'torsion': [2, 8]}
  • id: 6378255
    {'degree': 16, 'field': [525601476, 0, 27956484, 0, 11369697, 0, 794232, 0, 158800, 0, 68, 0, 612, 0, -4, 0, 1], 'lmfdb_label': '141120.eg7', 'torsion': [2, 12]}
  • id: 6378252
    {'degree': 16, 'field': [2895085636, 355980496, 21885728, -129918952, 69608648, -4656712, 1816296, -1419876, 422053, -44388, 15144, -5764, 1058, -76, 32, -8, 1], 'lmfdb_label': '141120.eg7', 'torsion': [4, 4]}
  • id: 6378257
    {'degree': 18, 'field': [108909467635264, -311325266639616, 34533351382464, 42830739620992, -5585488328400, -2576628652224, 372227868032, 88171013664, -14628564372, -1884848240, 367466172, 26503704, -5964547, -256404, 61230, 1702, -369, -6, 1], 'lmfdb_label': '141120.eg7', '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: 3486215
    {'conductor': 141120, 'conductor_valuation': 6, 'discriminant_valuation': 26, 'j_denominator_valuation': 8, 'kodaira_symbol': -20, 'lmfdb_label': '141120.eg7', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3486216
    {'conductor': 141120, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '141120.eg7', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3486217
    {'conductor': 141120, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '141120.eg7', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3486218
    {'conductor': 141120, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '141120.eg7', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 2580623
    {'adelic_gens': [[15, 106, 374, 11], [1, 12, 12, 145], [824, 399, 145, 94], [352, 3, 717, 754], [159, 32, 4, 331], [344, 819, 645, 374], [217, 24, 702, 7], [817, 24, 816, 25], [1, 24, 0, 1], [1, 0, 24, 1]], 'adelic_image': '840.384.5.?', 'conductor': 141120, 'lmfdb_label': '141120.eg7', 'prime': 0}
  • id: 544760
    {'conductor': 141120, 'elladic_image': '8.12.0.8', 'lmfdb_label': '141120.eg7', 'modell_image': '2B', 'prime': 2}
  • id: 544761
    {'conductor': 141120, 'elladic_image': '3.4.0.1', 'lmfdb_label': '141120.eg7', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 141120.eg does not appear in ec_padic