Elliptic curve data - 34320.bu2

Formats: - HTML - YAML - JSON - 2024-06-01T17:10:46.857034

• 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': '34320bt', 'Clabel': '34320bt2', 'Cnumber': 2, 'abc_quality': 0.8963574766727707, 'absD': 1206131097600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 17160, 'ainvs': [0, 1, 0, -6176, -181260], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 34320, 'degree': 55296, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0795790906727883982385368219', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 46, 'isogeny_degrees': [1, 2], 'jinv': [6361447449889, 294465600], 'lmfdb_iso': '34320.bu', 'lmfdb_label': '34320.bu2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -386, 2639], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '60.12.0-2.a.1.1', '120.24.0.?', '572.12.0.?', '1144.24.0.?', '8580.24.0.?', '17160.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.4435854461621696700843694046', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.38643191011284308882130470044', 'prec': 103}, 'szpiro_ratio': 3.619390314214639, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 1, 0, -1, 0, 4, 0, 1, 0, -1, 0, -1, 0, -1, 0, 2, 0, -4, 0], 'aplist': [0, 1, -1, 4, -1, -1, 2, -4, 0, 2, -8, -6, -6, 4, 0, -2, 12, 2, 12, 0, -14, 0, -4, -10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 34320, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '34320.bu', 'trace_hash': 2006726319452443181}
• 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': '0.11542224475081694150736891644', 'prec': 103}, 'conductor': 34320, 'gens': [[207, 2730, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.4435854461621696700843694046', 'prec': 100}], 'lmfdb_label': '34320.bu2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.54008242399422748666881854641', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.4392798999780317984936518175713983240', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-38, 0, 1], [90, 0, 1]], 'xcoord_integral_points': [-53, -38, 90, 207]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [1, 0], '7': [1, 0], '11': [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': '34320.bu2'}
• ec_torsion_growth •

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

  
  
  • id: 1704646
    {'degree': 4, 'field': [49, 0, 16, 0, 1], 'lmfdb_label': '34320.bu2', 'torsion': [2, 4]}
  • id: 1704645
    {'degree': 4, 'field': [1024, 0, 79, 0, 1], 'lmfdb_label': '34320.bu2', 'torsion': [2, 4]}
  • id: 1704647
    {'degree': 4, 'field': [5041, 0, -144, 0, 1], 'lmfdb_label': '34320.bu2', 'torsion': [2, 4]}
  • id: 1704648
    {'degree': 8, 'field': [-48, 0, -79, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '34320.bu2', 'torsion': [2, 6]}
  • id: 1704652
    {'degree': 16, 'field': [1272384, 0, -3682176, 0, 522016, 0, -153504, 0, 38612, 0, -624, 0, 308, 0, -48, 0, 1], 'lmfdb_label': '34320.bu2', 'torsion': [2, 8]}
  • id: 1704651
    {'degree': 16, 'field': [2005056, 0, -614016, 0, 454560, 0, -54624, 0, 11764, 0, -3184, 0, 300, 0, -16, 0, 1], 'lmfdb_label': '34320.bu2', 'torsion': [2, 8]}
  • id: 1704650
    {'degree': 16, 'field': [189136429056, -32648196096, 36207410688, -7252088832, 3962767776, -411149616, 148481130, -9078846, 1422709, 484438, -18440, -40538, 4906, 826, -98, -8, 1], 'lmfdb_label': '34320.bu2', 'torsion': [2, 8]}
  • id: 1704649
    {'degree': 16, 'field': [2892208915456, 185319920128, -609106860480, -22563094400, 58433245090, 1135370740, -3242460842, -25805752, 113178153, 179480, -2533030, 1960, 35464, -28, -284, 0, 1], 'lmfdb_label': '34320.bu2', 'torsion': [4, 4]}
• 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: 805557
    {'conductor': 34320, 'conductor_valuation': 4, 'discriminant_valuation': 18, 'j_denominator_valuation': 6, 'kodaira_symbol': -14, 'lmfdb_label': '34320.bu2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 805558
    {'conductor': 34320, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '34320.bu2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 805559
    {'conductor': 34320, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '34320.bu2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 805560
    {'conductor': 34320, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '34320.bu2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 805561
    {'conductor': 34320, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '34320.bu2', 'prime': 13, '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: 1893266
    {'adelic_gens': [[12867, 17156, 8578, 17157], [1, 0, 4, 1], [11441, 2, 0, 1], [7923, 2, 11878, 17159], [1, 4, 0, 1], [10297, 2, 0, 1], [6243, 2, 1558, 17159], [8581, 4, 2, 9], [17157, 4, 17156, 5]], 'adelic_image': '17160.48.0.?', 'conductor': 34320, 'lmfdb_label': '34320.bu2', 'prime': 0}
  • id: 152735
    {'conductor': 34320, 'elladic_image': '8.12.0.1', 'lmfdb_label': '34320.bu2', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1677242
    {'lmfdb_iso': '34320.bu', 'p': 7, 'prec': 20, 'unit': 9613543346625431, 'val': 1}
  • id: 1677246
    {'lmfdb_iso': '34320.bu', 'p': 17, 'prec': 20, 'unit': 29283305224284272514617, 'val': 1}
  • id: 1677238
    {'lmfdb_iso': '34320.bu', 'p': 19, 'prec': 20, 'unit': 1760596008224718661610340, 'val': 1}
  • id: 1677245
    {'lmfdb_iso': '34320.bu', 'p': 29, 'prec': 20, 'unit': 3597592590048052729954329430, 'val': 1}
  • id: 1677253
    {'lmfdb_iso': '34320.bu', 'p': 31, 'prec': 20, 'unit': 13084163881200465425735749400, 'val': 1}
  • id: 1677241
    {'lmfdb_iso': '34320.bu', 'p': 37, 'prec': 20, 'unit': 205280983592551630315324017917, 'val': 1}
  • id: 1677243
    {'lmfdb_iso': '34320.bu', 'p': 41, 'prec': 20, 'unit': 2304225326464757204468108510722, 'val': 1}
  • id: 1677244
    {'lmfdb_iso': '34320.bu', 'p': 43, 'prec': 20, 'unit': 10586991707506327012949210639892, 'val': 1}
  • id: 1677248
    {'lmfdb_iso': '34320.bu', 'p': 53, 'prec': 20, 'unit': 225072078113399607776070493856784, 'val': 1}
  • id: 1677251
    {'lmfdb_iso': '34320.bu', 'p': 59, 'prec': 20, 'unit': 488358312439571811318863135562329, 'val': 1}
  • id: 1677252
    {'lmfdb_iso': '34320.bu', 'p': 61, 'prec': 20, 'unit': 8258862673113026970715396414777206, 'val': 1}
  • id: 1677240
    {'lmfdb_iso': '34320.bu', 'p': 67, 'prec': 20, 'unit': 34458055362972838961814694956947242, 'val': 1}
  • id: 1677249
    {'lmfdb_iso': '34320.bu', 'p': 73, 'prec': 20, 'unit': 186385400004779075061717823862708224, 'val': 1}
  • id: 1677247
    {'lmfdb_iso': '34320.bu', 'p': 83, 'prec': 20, 'unit': 246559481603191878976874226461412870, 'val': 1}
  • id: 1677250
    {'lmfdb_iso': '34320.bu', 'p': 89, 'prec': 20, 'unit': 10420969871743711612124976450844356482, 'val': 1}
  • id: 1677239
    {'lmfdb_iso': '34320.bu', 'p': 97, 'prec': 20, 'unit': 34229465453296748865697615876087757128, 'val': 1}