Elliptic curve data - 24832.a2

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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': '24832d', 'Clabel': '24832d1', 'Cnumber': 1, 'abc_quality': 0.9260511127952559, 'absD': 49664, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 776, 'ainvs': [0, 1, 0, -259, 1521], 'analytic_rank': 2, 'bad_primes': [2, 97], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 24832, 'degree': 3456, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.0080062087909230087962542675849', 'prec': 110}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [3767287616, 97], 'lmfdb_iso': '24832.a', 'lmfdb_label': '24832.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -259, 1521], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '388.6.0.?', '776.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 11, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '3.0654751800261317266112772995', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 97], [97, 98, 256]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.51185417662903597326666982351', 'prec': 107}, 'szpiro_ratio': 2.795282374360047, '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, -2, 0, -2, 0, 0, 0, 1, 0, -2, 0, -2, 0, 4, 0, -2, 0, 4, 0], 'aplist': [0, -2, -2, 0, -2, -2, -2, 4, -8, 2, 0, -6, 6, -6, -8, 8, -4, -4, 8, -12, -6, -8, 16, 10, -1], 'class_deg': 2, 'class_size': 2, 'conductor': 24832, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '24832.a', 'trace_hash': 1022886777338669202}
• 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': '0.98411509964961552757275957602', 'prec': 103}, 'conductor': 24832, 'gens': [[8, 5, 1], [0, 39, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2456144929892981637071125009', 'prec': 100}, {'__RealLiteral__': 0, 'data': '2.5057583273478545497112642327', 'prec': 100}], 'lmfdb_label': '24832.a2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '3.3087979398694133571041575335', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.0715189801956418452699483243026417464', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [[9, 0, 1]], 'xcoord_integral_points': [0, 7, 8, 9, 41, 209]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [2, 0], '7': [2, 2, 0], '11': [4, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [4, 0], '29': [2, 0], '31': [2, 2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0], '97': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '24832.a2'}
• ec_torsion_growth •

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

  
  
  • id: 1250606
    {'degree': 2, 'field': [-194, 0, 1], 'lmfdb_label': '24832.a2', 'torsion': [2, 2]}
  • id: 1250607
    {'degree': 4, 'field': [194, 0, -28, 0, 1], 'lmfdb_label': '24832.a2', 'torsion': [4]}
  • id: 1250610
    {'degree': 8, 'field': [-192, 0, -1792, 0, -48, 0, 0, 0, 1], 'lmfdb_label': '24832.a2', 'torsion': [6]}
  • id: 1250609
    {'degree': 8, 'field': [1296, 0, -1872, 0, 554, 0, -52, 0, 1], 'lmfdb_label': '24832.a2', 'torsion': [2, 4]}
  • id: 1250608
    {'degree': 8, 'field': [21025, 0, 6804, 0, 682, 0, 28, 0, 1], 'lmfdb_label': '24832.a2', 'torsion': [2, 4]}
  • id: 1250611
    {'degree': 16, 'field': [39944, 71808, -125696, -237472, 54288, 193120, 18944, -52192, -7292, 7760, 1864, -848, -260, 136, 0, -8, 1], 'lmfdb_label': '24832.a2', 'torsion': [8]}
  • id: 1250612
    {'degree': 16, 'field': [21013056, 0, -80962560, 0, 8856064, 0, -1580544, 0, 67956, 0, 5376, 0, -588, 0, 0, 0, 1], 'lmfdb_label': '24832.a2', 'torsion': [2, 6]}
• 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: 569636
    {'conductor': 24832, 'conductor_valuation': 8, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '24832.a2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 569637
    {'conductor': 24832, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '24832.a2', 'prime': 97, 'reduction_type': -1, '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: 1829750
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [773, 4, 772, 5], [1, 2, 2, 5], [1, 4, 0, 1], [4, 1, 387, 0], [10, 1, 383, 0], [681, 98, 96, 679]], 'adelic_image': '776.12.0.?', 'conductor': 24832, 'lmfdb_label': '24832.a2', 'prime': 0}
  • id: 113288
    {'conductor': 24832, 'elladic_image': '8.6.0.1', 'lmfdb_label': '24832.a2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 1180161
    {'lmfdb_iso': '24832.a', 'p': 5, 'prec': 20, 'unit': 13664581332931, 'val': 2}
  • id: 1180160
    {'lmfdb_iso': '24832.a', 'p': 11, 'prec': 20, 'unit': 2410560688713254118, 'val': 3}
  • id: 1180166
    {'lmfdb_iso': '24832.a', 'p': 13, 'prec': 20, 'unit': 525342226733104966048, 'val': 2}
  • id: 1180168
    {'lmfdb_iso': '24832.a', 'p': 17, 'prec': 20, 'unit': 81793208146012480804186, 'val': 2}
  • id: 1180169
    {'lmfdb_iso': '24832.a', 'p': 19, 'prec': 20, 'unit': 1914281081780639336767072, 'val': 2}
  • id: 1180173
    {'lmfdb_iso': '24832.a', 'p': 23, 'prec': 20, 'unit': 1380761565123619436376049, 'val': 3}
  • id: 1180165
    {'lmfdb_iso': '24832.a', 'p': 29, 'prec': 20, 'unit': 3550346460172172079397218942, 'val': 2}
  • id: 1180178
    {'lmfdb_iso': '24832.a', 'p': 37, 'prec': 20, 'unit': 558162293584150283775029470809, 'val': 2}
  • id: 1180163
    {'lmfdb_iso': '24832.a', 'p': 41, 'prec': 20, 'unit': 4191360107945271167222178759315, 'val': 2}
  • id: 1180164
    {'lmfdb_iso': '24832.a', 'p': 43, 'prec': 20, 'unit': 3100205480695112662971661505578, 'val': 2}
  • id: 1180175
    {'lmfdb_iso': '24832.a', 'p': 47, 'prec': 20, 'unit': 49163039547436633200768612915935, 'val': 2}
  • id: 1180170
    {'lmfdb_iso': '24832.a', 'p': 53, 'prec': 20, 'unit': 198074016296409154724331470404560, 'val': 2}
  • id: 1180171
    {'lmfdb_iso': '24832.a', 'p': 59, 'prec': 20, 'unit': 4273242945927786629938031633080958, 'val': 2}
  • id: 1180176
    {'lmfdb_iso': '24832.a', 'p': 61, 'prec': 20, 'unit': 5041763688533520400579862209272684, 'val': 2}
  • id: 1180159
    {'lmfdb_iso': '24832.a', 'p': 67, 'prec': 20, 'unit': 31342824499834339086143097760087373, 'val': 2}
  • id: 1180162
    {'lmfdb_iso': '24832.a', 'p': 71, 'prec': 20, 'unit': 64000207378534656063815078896201788, 'val': 2}
  • id: 1180172
    {'lmfdb_iso': '24832.a', 'p': 73, 'prec': 20, 'unit': 109295527509937680272893259717289495, 'val': 2}
  • id: 1180167
    {'lmfdb_iso': '24832.a', 'p': 79, 'prec': 20, 'unit': 9518576379762808759762920229380434, 'val': 2}
  • id: 1180177
    {'lmfdb_iso': '24832.a', 'p': 83, 'prec': 20, 'unit': 941696586246047877766844565111933430, 'val': 2}
  • id: 1180174
    {'lmfdb_iso': '24832.a', 'p': 89, 'prec': 20, 'unit': 8632107048064855761784498613017320707, 'val': 2}