Elliptic curve data - 52800.bf1

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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': '52800fa', 'Clabel': '52800fa2', 'Cnumber': 2, 'abc_quality': 0.8684682961075777, 'absD': 92928000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 132, 'ainvs': [0, -1, 0, -1233, 8337], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 52800, 'degree': 49152, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.79999898206145292497537850118', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2], 'jinv': [810448, 363], 'lmfdb_iso': '52800.bf', 'lmfdb_label': '52800.bf1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -12, -12], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.a.1', '44.6.0.c.1', '132.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.1210897159335479238054588617', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.81339168480886678997843864047', 'prec': 107}, 'szpiro_ratio': 3.031563605185673, '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, 0, 0, -2, 0, 1, 0, 1, 0, -2, 0, 0, 0, -4, 0, -6, 0], 'aplist': [0, -1, 0, -2, 1, -2, -4, -6, 0, 8, 8, 10, 8, 2, -8, -2, 12, -10, -12, -8, -6, 2, -16, -14, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 52800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '52800.bf', 'trace_hash': 2281642757382467140}
• 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': '0.20189692903157019263521709551', 'prec': 103}, 'conductor': 52800, 'gens': [[32, 25, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.1210897159335479238054588617', 'prec': 100}], 'lmfdb_label': '52800.bf1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.96140818471103581688016803022', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0784660268098378658954207609406572262', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[7, 0, 1]], 'xcoord_integral_points': [-37, 7, 32]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': [1, 0], '11': [2, 0], '13': [1, 0], '17': [3, 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': '52800.bf1'}
• ec_torsion_growth •

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

  
  
  • id: 2557526
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '52800.bf1', 'torsion': [2, 2]}
  • id: 2557527
    {'degree': 4, 'field': [300, 0, -10, 0, 1], 'lmfdb_label': '52800.bf1', 'torsion': [4]}
  • id: 2557530
    {'degree': 8, 'field': [-7500, 0, -173750, 0, 300, 0, 0, 0, 1], 'lmfdb_label': '52800.bf1', 'torsion': [6]}
  • id: 2557529
    {'degree': 8, 'field': [-4136, 5456, -872, -1024, 232, 56, -20, -4, 1], 'lmfdb_label': '52800.bf1', 'torsion': [2, 4]}
  • id: 2557528
    {'degree': 8, 'field': [5625, 0, -1500, 0, 1075, 0, -20, 0, 1], 'lmfdb_label': '52800.bf1', 'torsion': [2, 4]}
  • id: 2557532
    {'degree': 16, 'field': [9841024, -43304704, -114706992, -77885272, -6530879, 10796136, 2980820, 401080, 53391, 68704, 37238, 1464, -59, 332, 6, -4, 1], 'lmfdb_label': '52800.bf1', 'torsion': [2, 6]}
  • id: 2557531
    {'degree': 16, 'field': [34839149, -23565828, 20892196, -20812772, 17840926, -9704876, 3898520, -1214756, 351054, -88540, 21732, -5012, 1234, -260, 40, -4, 1], 'lmfdb_label': '52800.bf1', 'torsion': [8]}
• 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: 1266212
    {'conductor': 52800, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '52800.bf1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1266213
    {'conductor': 52800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '52800.bf1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1266214
    {'conductor': 52800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '52800.bf1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1266215
    {'conductor': 52800, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '52800.bf1', 'prime': 11, '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: 2014774
    {'adelic_gens': [[1, 2, 2, 5], [46, 1, 43, 0], [3, 4, 8, 11], [100, 37, 33, 100], [1, 4, 0, 1], [13, 4, 26, 9], [1, 0, 4, 1], [129, 4, 128, 5]], 'adelic_image': '132.12.0.?', 'conductor': 52800, 'lmfdb_label': '52800.bf1', 'prime': 0}
  • id: 225570
    {'conductor': 52800, 'elladic_image': '2.3.0.1', 'lmfdb_label': '52800.bf1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 2662722
    {'lmfdb_iso': '52800.bf', 'p': 7, 'prec': 20, 'unit': 5711559422552436, 'val': 1}
  • id: 2662726
    {'lmfdb_iso': '52800.bf', 'p': 13, 'prec': 20, 'unit': 321902403702835338284, 'val': 1}
  • id: 2662728
    {'lmfdb_iso': '52800.bf', 'p': 17, 'prec': 20, 'unit': 738321559289662882317, 'val': 3}
  • id: 2662729
    {'lmfdb_iso': '52800.bf', 'p': 19, 'prec': 20, 'unit': 1325873209006513561361206, 'val': 1}
  • id: 2662725
    {'lmfdb_iso': '52800.bf', 'p': 29, 'prec': 20, 'unit': 4609830874286296824675785161, 'val': 1}
  • id: 2662737
    {'lmfdb_iso': '52800.bf', 'p': 31, 'prec': 20, 'unit': 7402476433016069904621597882, 'val': 1}
  • id: 2662721
    {'lmfdb_iso': '52800.bf', 'p': 37, 'prec': 20, 'unit': 496752307137569007841924254628, 'val': 1}
  • id: 2662723
    {'lmfdb_iso': '52800.bf', 'p': 41, 'prec': 20, 'unit': 2740310716439544785739077543496, 'val': 1}
  • id: 2662724
    {'lmfdb_iso': '52800.bf', 'p': 43, 'prec': 20, 'unit': 674678514835009931523963408455, 'val': 1}
  • id: 2662735
    {'lmfdb_iso': '52800.bf', 'p': 47, 'prec': 20, 'unit': 2144132472311401219214635350797, 'val': 1}
  • id: 2662730
    {'lmfdb_iso': '52800.bf', 'p': 53, 'prec': 20, 'unit': 518421777488678872503303364470739, 'val': 1}
  • id: 2662731
    {'lmfdb_iso': '52800.bf', 'p': 59, 'prec': 20, 'unit': 3386011392337059606700482776243021, 'val': 1}
  • id: 2662736
    {'lmfdb_iso': '52800.bf', 'p': 61, 'prec': 20, 'unit': 6358182552948213172212622622864096, 'val': 1}
  • id: 2662720
    {'lmfdb_iso': '52800.bf', 'p': 67, 'prec': 20, 'unit': 42421121155462442450589870142874758, 'val': 1}
  • id: 2662734
    {'lmfdb_iso': '52800.bf', 'p': 71, 'prec': 20, 'unit': 36973191187211431451864499461501220, 'val': 1}
  • id: 2662732
    {'lmfdb_iso': '52800.bf', 'p': 73, 'prec': 20, 'unit': 207774247049640515941611423972407360, 'val': 1}
  • id: 2662727
    {'lmfdb_iso': '52800.bf', 'p': 79, 'prec': 20, 'unit': 279731196995964546613708662093471243, 'val': 1}
  • id: 2662719
    {'lmfdb_iso': '52800.bf', 'p': 83, 'prec': 20, 'unit': 460577953515599781407096198671961624, 'val': 1}
  • id: 2662733
    {'lmfdb_iso': '52800.bf', 'p': 89, 'prec': 20, 'unit': 9406120119385648566918357053156919782, 'val': 1}
  • id: 2662718
    {'lmfdb_iso': '52800.bf', 'p': 97, 'prec': 20, 'unit': 25182811457543246651365949456784971551, 'val': 1}