Elliptic curve data - 115600.ba2

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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': '115600bo', 'Clabel': '115600bo1', 'Cnumber': 1, 'abc_quality': 0.9985669732786868, 'absD': 6884340550074368000000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 2040, 'ainvs': [0, -1, 0, 46121992, 37411814512], 'analytic_rank': 0, 'bad_primes': [2, 5, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 115600, 'degree': 13934592, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4549393509668390404486809302', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 26, 'isogeny_degrees': [1, 3], 'jinv': [7023836099951, 4456448000], 'lmfdb_iso': '115600.ba', 'lmfdb_label': '115600.ba2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 399, -919], 'min_quad_twist_disc': -340, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.6', '680.2.0.?', '1020.8.0.?', '2040.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.54046654216173550360630183319', 'prec': 103}, 'szpiro_ratio': 5.537365466949341, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0], 'aplist': [0, -1, 0, -2, 0, 1, 0, 1, 6, 3, 5, 8, -6, -10, -3, 3, -3, -11, 2, 9, 11, 8, -12, 15, -7], 'class_deg': 3, 'class_size': 2, 'conductor': 115600, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '115600.ba', 'trace_hash': 279317893893533089}
• 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': '0.00099787882991609546103278790029', 'prec': 113}, 'conductor': 115600, 'gens': [], 'heights': [], 'lmfdb_label': '115600.ba2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.046492226903671298984262893914', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4877512609174815674964126052515159065', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': 'a', '7': [0, 0], '11': [0, 0, 0], '13': [2, 0], '17': 'a', '19': [2, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '115600.ba2'}
• ec_torsion_growth •

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

  
  
  • id: 5299181
    {'degree': 2, 'field': [85, 0, 1], 'lmfdb_label': '115600.ba2', 'torsion': [3]}
  • id: 5299182
    {'degree': 3, 'field': [10, -6, -1, 1], 'lmfdb_label': '115600.ba2', 'torsion': [2]}
  • id: 5299184
    {'degree': 6, 'field': [-25500, 0, 2125, 0, -85, 0, 1], 'lmfdb_label': '115600.ba2', 'torsion': [3]}
  • id: 5299185
    {'degree': 6, 'field': [134, -72, 148, 0, -13, -2, 1], 'lmfdb_label': '115600.ba2', 'torsion': [6]}
  • id: 5299183
    {'degree': 6, 'field': [270, -360, 171, -20, 2, 0, 1], 'lmfdb_label': '115600.ba2', 'torsion': [2, 2]}
  • id: 5299186
    {'degree': 12, 'field': [-68000, 0, -13525, 0, -675, 0, -10, 0, -30, 0, -1, 0, 1], 'lmfdb_label': '115600.ba2', 'torsion': [4]}
  • id: 5299188
    {'degree': 12, 'field': [12344, -10624, 7448, -10952, 7994, -3612, 1366, -500, 227, -60, 18, -4, 1], 'lmfdb_label': '115600.ba2', 'torsion': [2, 6]}
  • id: 5299187
    {'degree': 12, 'field': [4519876, -12756, -31854, 84950, -31785, -12876, 4391, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '115600.ba2', 'torsion': [3, 3]}
  • id: 5299190
    {'degree': 18, 'field': [-935174, -1697448, -2698856, 2776200, -745889, 259910, -839553, 526112, -141216, 43972, -35666, 13600, -1352, -936, 522, -156, 31, -6, 1], 'lmfdb_label': '115600.ba2', 'torsion': [6]}
  • id: 5299189
    {'degree': 18, 'field': [521871452341, -3032427456, 146587709199, 5678444394, 16807927572, -3034260618, 1174772054, 342760482, 251347458, 44499502, 1671624, 979806, 237804, 3618, 4242, 278, 9, -6, 1], 'lmfdb_label': '115600.ba2', 'torsion': [9]}
• 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: 2842319
    {'conductor': 115600, 'conductor_valuation': 4, 'discriminant_valuation': 33, 'j_denominator_valuation': 21, 'kodaira_symbol': -29, 'lmfdb_label': '115600.ba2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2842320
    {'conductor': 115600, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '115600.ba2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2842321
    {'conductor': 115600, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '115600.ba2', 'prime': 17, 'reduction_type': 0, '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: 2419474
    {'adelic_gens': [[4, 3, 9, 7], [2035, 6, 2034, 7], [1799, 2034, 1317, 2021], [1223, 2034, 1629, 2021], [1021, 6, 1023, 19], [1, 6, 0, 1], [3, 4, 8, 11], [1446, 601, 1105, 171], [1, 0, 6, 1], [1529, 2034, 507, 2021]], 'adelic_image': '2040.16.0.?', 'conductor': 115600, 'lmfdb_label': '115600.ba2', 'prime': 0}
  • id: 455939
    {'conductor': 115600, 'elladic_image': '3.4.0.1', 'lmfdb_label': '115600.ba2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 115600.ba does not appear in ec_padic