Elliptic curve data - 118580.ba4

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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': '118580m', 'Clabel': '118580m1', 'Cnumber': 1, 'abc_quality': 0.9670463504502834, 'absD': 50438215981538000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 4620, 'ainvs': [0, -1, 0, -268781, 52624706], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 118580, 'degree': 1244160, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9904732623181976395076118462', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [643956736, 15125], 'lmfdb_iso': '118580.ba', 'lmfdb_label': '118580.ba4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -45, 100], 'min_quad_twist_disc': 77, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '10.6.0.a.1', '30.24.0.a.1', '44.6.0.b.1', '84.24.0.?', '132.24.0.?', '220.12.0.?', '231.8.0.?', '420.48.0.?', '462.24.0.?', '660.48.1.?', '924.48.0.?', '2310.48.0.?', '4620.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.41247850879529272154844702166', 'prec': 107}, 'szpiro_ratio': 4.204153114572165, '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, 2, 0, -1, 0, 0, 0, 1, 0, 0, 0, -4, 0, -2, 0, 0, 0, -4, 0], 'aplist': [0, 2, -1, 0, 0, -4, 0, -4, -6, 6, -8, 2, 6, -8, -6, -6, 12, 2, -10, -12, -16, -8, 0, -6, -14], 'class_deg': 6, 'class_size': 4, 'conductor': 118580, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '118580.ba', 'trace_hash': 2269800294695909678}
• 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': '0.018667961287427705997800437493', 'prec': 107}, 'conductor': 118580, 'gens': [], 'heights': [], 'lmfdb_label': '118580.ba4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.35561966103651740084250259725', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.71123932207303480168500519450301733952', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [[334, 0, 1]], 'xcoord_integral_points': [334]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': [0, 0], '7': 'a', '11': 'a'}, 'iwp0': 5, 'lmfdb_label': '118580.ba4'}
• ec_torsion_growth •

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

  
  
  • id: 5431349
    {'degree': 2, 'field': [-19, -1, 1], 'lmfdb_label': '118580.ba4', 'torsion': [6]}
  • id: 5431348
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '118580.ba4', 'torsion': [2, 2]}
  • id: 5431350
    {'degree': 4, 'field': [22, -44, -32, -2, 1], 'lmfdb_label': '118580.ba4', 'torsion': [4]}
  • id: 5431351
    {'degree': 4, 'field': [324, 0, -41, 0, 1], 'lmfdb_label': '118580.ba4', 'torsion': [2, 6]}
  • id: 5431352
    {'degree': 6, 'field': [130, -148, 174, -83, 27, -1, 1], 'lmfdb_label': '118580.ba4', 'torsion': [6]}
  • id: 5431353
    {'degree': 8, 'field': [-5059, -4466, 3646, 4774, 1199, -154, -72, 0, 1], 'lmfdb_label': '118580.ba4', 'torsion': [2, 4]}
  • id: 5431355
    {'degree': 8, 'field': [1, 14, 26, -66, -1, 38, -8, -4, 1], 'lmfdb_label': '118580.ba4', 'torsion': [12]}
  • id: 5431354
    {'degree': 8, 'field': [531441, 0, 64152, 0, 2414, 0, 88, 0, 1], 'lmfdb_label': '118580.ba4', 'torsion': [2, 4]}
  • id: 5431357
    {'degree': 12, 'field': [58081, 11568, 30501, 6922, 12704, -1472, 3395, 1828, 648, -30, 53, -4, 1], 'lmfdb_label': '118580.ba4', 'torsion': [2, 6]}
  • id: 5431356
    {'degree': 12, 'field': [85849, -88486, 85051, -34470, 17574, -3842, 2511, -214, 6, 78, -5, -2, 1], 'lmfdb_label': '118580.ba4', 'torsion': [3, 6]}
  • id: 5431359
    {'degree': 16, 'field': [196, 0, -2576, 0, 10676, 0, -17076, 0, 11269, 0, -3564, 0, 558, 0, -40, 0, 1], 'lmfdb_label': '118580.ba4', 'torsion': [2, 12]}
  • id: 5431360
    {'degree': 16, 'field': [7203856, 0, 10443488, 0, 5385240, 0, 1403568, 0, 224689, 0, 23862, 0, 1575, 0, 62, 0, 1], 'lmfdb_label': '118580.ba4', 'torsion': [2, 12]}
  • id: 5431358
    {'degree': 16, 'field': [875568100, 0, -54692000, 0, 93962440, 0, -27868720, 0, 3337104, 0, -210896, 0, 7420, 0, -136, 0, 1], 'lmfdb_label': '118580.ba4', 'torsion': [8]}
  • id: 5431361
    {'degree': 18, 'field': [-288186499, 2275644567, 496794689, -37573567, 507129314, -168575410, -14098877, 35970296, -17094453, -2590260, 2396760, 87616, -147745, -2725, 5134, 108, -104, -2, 1], 'lmfdb_label': '118580.ba4', '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: 2919892
    {'conductor': 118580, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '118580.ba4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2919893
    {'conductor': 118580, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '118580.ba4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2919894
    {'conductor': 118580, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '118580.ba4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2919895
    {'conductor': 118580, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '118580.ba4', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2438907
    {'adelic_gens': [[4609, 12, 4608, 13], [3970, 1323, 3801, 652], [2099, 3948, 714, 587], [3959, 0, 0, 4619], [449, 3962, 2478, 673], [1, 0, 12, 1], [1, 6, 6, 37], [1, 12, 0, 1], [11, 2, 4570, 4611], [939, 4018, 1946, 2381]], 'adelic_image': '4620.96.1.?', 'conductor': 118580, 'lmfdb_label': '118580.ba4', 'prime': 0}
  • id: 467069
    {'conductor': 118580, 'elladic_image': '2.3.0.1', 'lmfdb_label': '118580.ba4', 'modell_image': '2B', 'prime': 2}
  • id: 467070
    {'conductor': 118580, 'elladic_image': '3.4.0.1', 'lmfdb_label': '118580.ba4', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 118580.ba does not appear in ec_padic