Elliptic curve data - 62790.bu5

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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': '62790bt', 'Clabel': '62790bt4', 'Cnumber': 4, 'abc_quality': 1.0233717916084937, 'absD': 18360082088470458984375000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 7176, 'ainvs': [1, 0, 0, -2696503730, 53499182368452], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13, 23], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 62790, 'degree': 76087296, 'elladic_images': ['4.12.0.8', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.2485189424777600424450643893', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 46, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [2168337038351679228688694521765921, 18360082088470458984375000000], 'lmfdb_iso': '62790.bu', 'lmfdb_label': '62790.bu5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2696503730, 53499182368452], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '4.12.0-4.c.1.2', '6.24.0-6.a.1.4', '12.96.0-12.c.3.7', '156.192.1.?', '184.24.0.?', '552.192.1.?', '7176.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '4.2485189424777600424450643893', 'prec': 100}, 'szpiro_ratio': 6.9480799751402555, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
• 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 6, 1, -4, 1], 'aplist': [1, 1, 1, 1, 0, 1, 6, -4, -1, 6, 8, 2, -6, 8, 0, -6, 12, -10, -4, 0, 2, -4, 0, -6, 14], 'class_deg': 12, 'class_size': 8, 'conductor': 62790, 'isogeny_matrix': [[1, 3, 4, 2, 12, 6, 12, 4], [3, 1, 12, 6, 4, 2, 4, 12], [4, 12, 1, 2, 3, 6, 12, 4], [2, 6, 2, 1, 6, 3, 6, 2], [12, 4, 3, 6, 1, 2, 4, 12], [6, 2, 6, 3, 2, 1, 2, 6], [12, 4, 12, 6, 4, 2, 1, 3], [4, 12, 4, 2, 12, 6, 3, 1]], 'lmfdb_iso': '62790.bu', 'trace_hash': 1199247286584592807}
• 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': '0.00020407195923808178693617986615', 'prec': 113}, 'conductor': 62790, 'gens': [], 'heights': [], 'lmfdb_label': '62790.bu5', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.038942353543327590940252291763', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.4769318803188974605284400184757008903', 'prec': 130}, 'tamagawa_product': 1728, 'torsion_generators': [[22744, 1972378, 1]], 'xcoord_integral_points': [22744, 37744]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 1], '3': [3, 0], '5': [1, 0], '7': [1, 0], '13': [1, 0], '23': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '62790.bu5'}
• ec_torsion_growth •

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

  
  
  • id: 3005779
    {'degree': 2, 'field': [-39, 0, 1], 'lmfdb_label': '62790.bu5', 'torsion': [2, 6]}
  • id: 3005780
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '62790.bu5', 'torsion': [12]}
  • id: 3005781
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '62790.bu5', 'torsion': [12]}
  • id: 3005783
    {'degree': 4, 'field': [-3800, -800, -18, -2, 1], 'lmfdb_label': '62790.bu5', 'torsion': [2, 12]}
  • id: 3005782
    {'degree': 4, 'field': [100, 0, -19, 0, 1], 'lmfdb_label': '62790.bu5', 'torsion': [2, 12]}
  • id: 3005784
    {'degree': 6, 'field': [7951152, 0, -9767, 0, 1, 0, 1], 'lmfdb_label': '62790.bu5', 'torsion': [3, 6]}
  • id: 3005785
    {'degree': 8, 'field': [902500, 380000, 80000, 1700, 1981, 418, 2, -2, 1], 'lmfdb_label': '62790.bu5', 'torsion': [4, 12]}
  • id: 3005786
    {'degree': 8, 'field': [3651921, 0, 0, 0, -686, 0, 0, 0, 1], 'lmfdb_label': '62790.bu5', 'torsion': [24]}
  • id: 3005787
    {'degree': 8, 'field': [163635264, 0, -3832920, 0, 41964, 0, -234, 0, 1], 'lmfdb_label': '62790.bu5', 'torsion': [24]}
  • id: 3005788
    {'degree': 9, 'field': [-3004263624, 2487312072, -583383780, 32216458, 1289094, 64194, 4733, -345, -3, 1], 'lmfdb_label': '62790.bu5', 'torsion': [18]}
  • id: 3005789
    {'degree': 12, 'field': [42979824810000, 0, 210765629100, 0, 948331501, 0, -12693863, 0, -31980, 0, 13, 0, 1], 'lmfdb_label': '62790.bu5', 'torsion': [6, 6]}
  • id: 3005791
    {'degree': 12, 'field': [43612287681600, 105934122360, 106165020201, -138378237, 211102018, -19892121, 13368383, -80244, 16059, -3, 2, -3, 1], 'lmfdb_label': '62790.bu5', 'torsion': [3, 12]}
  • id: 3005790
    {'degree': 12, 'field': [63220818127104, 0, -77658901584, 0, 87443137, 0, -15912071, 0, 9768, 0, 1, 0, 1], 'lmfdb_label': '62790.bu5', 'torsion': [3, 12]}
  • id: 3005792
    {'degree': 16, 'field': [1361462404, 0, 707331080, 0, -97433728, 0, 7163268, 0, 2435909, 0, 6132, 0, -3010, 0, 8, 0, 1], 'lmfdb_label': '62790.bu5', 'torsion': [2, 24]}
  • id: 3005794
    {'degree': 16, 'field': [12067334897380, 1544983136032, -1581118454496, 75688155536, -46381769824, 10228407696, -3382218320, -21853208, 3737721, 910624, 54340, -124800, 17342, 1568, -204, -8, 1], 'lmfdb_label': '62790.bu5', 'torsion': [2, 24]}
  • id: 3005793
    {'degree': 16, 'field': [104595701657616, 0, 0, 0, 14963988897, 0, 0, 0, 18402579, 0, 0, 0, -7293, 0, 0, 0, 1], 'lmfdb_label': '62790.bu5', 'torsion': [2, 24]}
  • id: 3005795
    {'degree': 18, 'field': [-16799323911636481848, -36021588743955634776, -14664191431531722876, 1135426759006069632, 547656098630950386, -44021459689740846, -1763036222011043, 156085644790344, -1419465977520, -325614109226, 34325624295, -201496104, -6435666, -3000906, 432423, 13408, -1032, -6, 1], 'lmfdb_label': '62790.bu5', 'torsion': [2, 18]}
  • id: 3005796
    {'degree': 18, 'field': [9025599922489613376, 0, 2681444005345695744, 0, 172326308541893136, 0, 2889752608821124, 0, -6262483218924, 0, -28836728724, 0, -5472331, 0, 275811, 0, 699, 0, 1], 'lmfdb_label': '62790.bu5', 'torsion': [36]}
  • id: 3005797
    {'degree': 18, 'field': [36589226355043732800, 28401036333551935200, 11947042340861029200, 2932624389761904600, 426771874894383000, 30149549084832300, 518648053434138, -17117726301918, 2697375483630, -1038012488397, -15567723495, 1757179602, 39837184, -857244, 247668, -6220, -606, -3, 1], 'lmfdb_label': '62790.bu5', 'torsion': [36]}
• 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: 1515354
    {'conductor': 62790, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '62790.bu5', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 1515355
    {'conductor': 62790, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '62790.bu5', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 1515356
    {'conductor': 62790, 'conductor_valuation': 1, 'discriminant_valuation': 24, 'j_denominator_valuation': 24, 'kodaira_symbol': 28, 'lmfdb_label': '62790.bu5', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 24}
  • id: 1515357
    {'conductor': 62790, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '62790.bu5', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1515358
    {'conductor': 62790, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '62790.bu5', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1515359
    {'conductor': 62790, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '62790.bu5', 'prime': 23, '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: 2080170
    {'adelic_gens': [[15, 106, 5870, 5123], [1798, 3, 1839, 34], [1, 12, 12, 145], [7153, 24, 7152, 25], [5697, 6880, 3428, 4997], [1, 24, 0, 1], [3880, 3, 3957, 7090], [16, 3591, 737, 2306], [1, 0, 24, 1], [5617, 24, 2820, 289]], 'adelic_image': '7176.384.5.?', 'conductor': 62790, 'lmfdb_label': '62790.bu5', 'prime': 0}
  • id: 264118
    {'conductor': 62790, 'elladic_image': '4.12.0.8', 'lmfdb_label': '62790.bu5', 'modell_image': '2B', 'prime': 2}
  • id: 264119
    {'conductor': 62790, 'elladic_image': '3.8.0.1', 'lmfdb_label': '62790.bu5', 'modell_image': '3B.1.1', 'prime': 3}
• lmfdb_iso 62790.bu does not appear in ec_padic