Elliptic curve data - 44880.bh4

Formats: - HTML - YAML - JSON - 2022-06-28T13:10:23.645114

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  absD	numeric
  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[]
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '44880br', 'Clabel': '44880br5', 'Cnumber': 5, 'absD': 5900446207651590144000, 'ainvs': [0, -1, 0, -39758520, 96434924400], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 44880, 'degree': 5308416, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1046284851379525425340284780', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 33, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [1696892787277117093383481, 1440538624914939000], 'lmfdb_iso': '44880.bh', 'lmfdb_label': '44880.bh4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2484908, -1506795694], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '3B'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.1675071655475564647243247712', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4114813045780072331167963565', 'prec': 100}, '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, -1, 0, 1, 0, 4, 0, 1, 0, -1, 0, 2, 0, -1, 0, -1, 0, 4, 0], 'aplist': [0, -1, 1, 4, -1, 2, -1, 4, 0, -6, -8, -10, 6, 4, -12, 6, -12, 2, -8, 12, 2, -8, 12, -6, 2], 'class_deg': 12, 'class_size': 8, 'conductor': 44880, 'isogeny_matrix': [[1, 4, 2, 3, 12, 4, 6, 12], [4, 1, 2, 12, 3, 4, 6, 12], [2, 2, 1, 6, 6, 2, 3, 6], [3, 12, 6, 1, 4, 12, 2, 4], [12, 3, 6, 4, 1, 12, 2, 4], [4, 4, 2, 12, 12, 1, 6, 3], [6, 6, 3, 2, 2, 6, 1, 2], [12, 12, 6, 4, 4, 3, 2, 1]], 'lmfdb_iso': '44880.bh', 'trace_hash': 91193090547288370}
• 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': '0.0020107309420091682264541406037', 'prec': 110}, 'conductor': 44880, 'gens': [[21410, 3009790, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '8.1675071655475564647243247712', 'prec': 100}], 'lmfdb_label': '44880.bh4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.13376725590652858994413144136', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.5552701267932357263165600597023023329', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[3721, 0, 1]], 'xcoord_integral_points': [3721, 21410]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [2, 0], '7': [5, 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, 0]}, 'iwp0': 0, 'lmfdb_label': '44880.bh4'}
• ec_torsion_growth •

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

  
  
  • id: 2196202
    {'degree': 2, 'field': [-510, 0, 1], 'lmfdb_label': '44880.bh4', 'torsion': [2, 2]}
  • id: 2196204
    {'degree': 2, 'field': [-21, -1, 1], 'lmfdb_label': '44880.bh4', 'torsion': [4]}
  • id: 2196203
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '44880.bh4', 'torsion': [4]}
  • id: 2196205
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '44880.bh4', 'torsion': [6]}
  • id: 2196208
    {'degree': 4, 'field': [9, 0, 0, 0, 1], 'lmfdb_label': '44880.bh4', 'torsion': [12]}
  • id: 2196206
    {'degree': 4, 'field': [219, 54, -53, -2, 1], 'lmfdb_label': '44880.bh4', 'torsion': [2, 4]}
  • id: 2196209
    {'degree': 4, 'field': [441, 0, 43, 0, 1], 'lmfdb_label': '44880.bh4', 'torsion': [12]}
  • id: 2196207
    {'degree': 4, 'field': [65025, 0, 0, 0, 1], 'lmfdb_label': '44880.bh4', 'torsion': [2, 6]}
  • id: 2196210
    {'degree': 6, 'field': [-12, 0, -11, 0, -1, 0, 1], 'lmfdb_label': '44880.bh4', 'torsion': [6]}
  • id: 2196212
    {'degree': 8, 'field': [65025, 0, -58140, 0, 8196, 0, -300, 0, 1], 'lmfdb_label': '44880.bh4', 'torsion': [8]}
  • id: 2196214
    {'degree': 8, 'field': [203265, 16020, 35676, 504, 2749, -12, 86, 0, 1], 'lmfdb_label': '44880.bh4', 'torsion': [2, 12]}
  • id: 2196213
    {'degree': 8, 'field': [3370161, -323958, 335912, -24090, 12501, -550, 188, -4, 1], 'lmfdb_label': '44880.bh4', 'torsion': [8]}
  • id: 2196211
    {'degree': 8, 'field': [161645796, 0, 918864, 0, -25284, 0, 24, 0, 1], 'lmfdb_label': '44880.bh4', 'torsion': [2, 4]}
  • id: 2196218
    {'degree': 12, 'field': [-1191, 9366, -19862, 120, 11566, -5548, 318, 894, -550, 132, -6, -4, 1], 'lmfdb_label': '44880.bh4', 'torsion': [12]}
  • id: 2196215
    {'degree': 12, 'field': [144, 0, -132, 0, 109, 0, -35, 0, 12, 0, 1, 0, 1], 'lmfdb_label': '44880.bh4', 'torsion': [3, 6]}
  • id: 2196217
    {'degree': 12, 'field': [900, 0, -2292, 0, 493, 0, -362, 0, 51, 0, -14, 0, 1], 'lmfdb_label': '44880.bh4', 'torsion': [12]}
  • id: 2196216
    {'degree': 12, 'field': [4515625, 0, 0, 0, 0, 0, -110500, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '44880.bh4', 'torsion': [2, 6]}
  • id: 2196221
    {'degree': 16, 'field': [10556001, 0, -173925468, 0, 195855516, 0, -80106408, 0, 14238855, 0, -1131192, 0, 39036, 0, -492, 0, 1], 'lmfdb_label': '44880.bh4', 'torsion': [2, 8]}
  • id: 2196223
    {'degree': 16, 'field': [86769225, 0, -45943200, 0, 13452030, 0, -493260, 0, 726271, 0, 110044, 0, 5646, 0, 124, 0, 1], 'lmfdb_label': '44880.bh4', 'torsion': [24]}
  • id: 2196222
    {'degree': 16, 'field': [4228250625, 0, 0, 0, 4786360200, 0, 0, 0, 32420466, 0, 0, 0, 35592, 0, 0, 0, 1], 'lmfdb_label': '44880.bh4', 'torsion': [24]}
  • id: 2196220
    {'degree': 16, 'field': [33110187596865, -4187091287700, 4440439818540, -516146558340, 281939113186, -29321053200, 10923066732, -1010589916, 284738579, -21917344, 4911284, -293692, 53802, -2268, 344, -8, 1], 'lmfdb_label': '44880.bh4', 'torsion': [2, 8]}
  • id: 2196219
    {'degree': 16, 'field': [26501261636310561, 0, 0, 0, -8109395808084, 0, 0, 0, 989604486, 0, 0, 0, -50964, 0, 0, 0, 1], 'lmfdb_label': '44880.bh4', 'torsion': [4, 12]}
  • id: 2196224
    {'degree': 18, 'field': [3355898803214400, 0, -55276215339600, 0, -6914541880980, 0, 184551246729, 0, 14585773950, 0, 372007053, 0, 5519155, 0, 54552, 0, 345, 0, 1], 'lmfdb_label': '44880.bh4', '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: 1069171
    {'conductor': 44880, 'conductor_valuation': 4, 'discriminant_valuation': 15, 'j_denominator_valuation': 3, 'kodaira_symbol': -11, 'lmfdb_label': '44880.bh4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1069172
    {'conductor': 44880, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '44880.bh4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1069173
    {'conductor': 44880, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '44880.bh4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 1069174
    {'conductor': 44880, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '44880.bh4', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1069175
    {'conductor': 44880, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '44880.bh4', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 195285
    {'conductor': 44880, 'elladic_image': '4.6.0.1', 'lmfdb_label': '44880.bh4', 'modell_image': '2B', 'prime': 2}
  • id: 195286
    {'conductor': 44880, 'elladic_image': '3.4.0.1', 'lmfdb_label': '44880.bh4', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 2243465
    {'lmfdb_iso': '44880.bh', 'p': 7, 'prec': 20, 'unit': 893515044558685, 'val': 2}
  • id: 2243469
    {'lmfdb_iso': '44880.bh', 'p': 13, 'prec': 20, 'unit': 1032399751588329493384, 'val': 1}
  • id: 2243472
    {'lmfdb_iso': '44880.bh', 'p': 19, 'prec': 20, 'unit': 286049356347441580000660, 'val': 1}
  • id: 2243468
    {'lmfdb_iso': '44880.bh', 'p': 29, 'prec': 20, 'unit': 1603901130733533150947827907, 'val': 1}
  • id: 2243479
    {'lmfdb_iso': '44880.bh', 'p': 31, 'prec': 20, 'unit': 1484321715824117374378680678, 'val': 1}
  • id: 2243464
    {'lmfdb_iso': '44880.bh', 'p': 37, 'prec': 20, 'unit': 496327209274359044351663107681, 'val': 1}
  • id: 2243466
    {'lmfdb_iso': '44880.bh', 'p': 41, 'prec': 20, 'unit': 3484961688108321887991406256004, 'val': 1}
  • id: 2243467
    {'lmfdb_iso': '44880.bh', 'p': 43, 'prec': 20, 'unit': 9939421811707657581356953860394, 'val': 1}
  • id: 2243477
    {'lmfdb_iso': '44880.bh', 'p': 47, 'prec': 20, 'unit': 7171305117596921364904384344057, 'val': 1}
  • id: 2243473
    {'lmfdb_iso': '44880.bh', 'p': 53, 'prec': 20, 'unit': 210508210532047435965873027523410, 'val': 1}
  • id: 2243471
    {'lmfdb_iso': '44880.bh', 'p': 59, 'prec': 20, 'unit': 3654609451771661388273981502233269, 'val': 1}
  • id: 2243478
    {'lmfdb_iso': '44880.bh', 'p': 61, 'prec': 20, 'unit': 7024849387715085728472679432858895, 'val': 1}
  • id: 2243463
    {'lmfdb_iso': '44880.bh', 'p': 67, 'prec': 20, 'unit': 40001592853047231466691848639387058, 'val': 1}
  • id: 2243476
    {'lmfdb_iso': '44880.bh', 'p': 71, 'prec': 20, 'unit': 123617860382358080056848441436724591, 'val': 1}
  • id: 2243474
    {'lmfdb_iso': '44880.bh', 'p': 73, 'prec': 20, 'unit': 54272015030398534204105860427544757, 'val': 1}
  • id: 2243470
    {'lmfdb_iso': '44880.bh', 'p': 79, 'prec': 20, 'unit': 520759741072727164015930450616726195, 'val': 1}
  • id: 2243462
    {'lmfdb_iso': '44880.bh', 'p': 83, 'prec': 20, 'unit': 1340973097848538649900975237844734447, 'val': 1}
  • id: 2243475
    {'lmfdb_iso': '44880.bh', 'p': 89, 'prec': 20, 'unit': 10687611871588107881797543452560716588, 'val': 1}
  • id: 2243461
    {'lmfdb_iso': '44880.bh', 'p': 97, 'prec': 20, 'unit': 29435888131101834010296026033525402895, 'val': 1}