Elliptic curve data - 97104.b1

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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': '97104bt', 'Clabel': '97104bt1', 'Cnumber': 1, 'abc_quality': 0.8581171163764704, 'absD': 75603370757677056, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 24, 'ainvs': [0, -1, 0, -145752, -25125264], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 97104, 'degree': 1057536, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9592374405565630103651308033', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3], 'jinv': [-11984473, 2646], 'lmfdb_iso': '97104.b', 'lmfdb_label': '97104.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -31, 67], 'min_quad_twist_disc': -68, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '12.8.0-3.a.1.1', '24.16.0-24.d.1.3'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1219888397128567199298862613', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.62271863604085968588512439674', 'prec': 107}, 'szpiro_ratio': 4.145567214998123, '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, -3, 0, -1, 0, 1, 0, -3, 0, -4, 0, 3, 0, 0, 0, -2, 0], 'aplist': [0, -1, -3, -1, -3, -4, 0, -2, -6, -3, -5, -10, -6, 4, 6, 9, -9, -4, -8, -6, 11, 7, -12, 0, -7], 'class_deg': 3, 'class_size': 2, 'conductor': 97104, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '97104.b', 'trace_hash': 1917932539800763965}
• 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': '0.019871377859506760161596709928', 'prec': 107}, 'conductor': 97104, 'gens': [[482, 4046, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1219888397128567199298862613', 'prec': 100}], 'lmfdb_label': '97104.b1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.12074823530887092258468771821', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6257380691789010054950774562290214728', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': [482, 3661]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': 'a', '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '97104.b1'}
• ec_torsion_growth •

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

  
  
  • id: 4516333
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '97104.b1', 'torsion': [3]}
  • id: 4516334
    {'degree': 3, 'field': [39, -11, -1, 1], 'lmfdb_label': '97104.b1', 'torsion': [2]}
  • id: 4516335
    {'degree': 6, 'field': [24, -120, 142, 52, 15, -2, 1], 'lmfdb_label': '97104.b1', 'torsion': [2, 2]}
  • id: 4516337
    {'degree': 6, 'field': [98, 70, 25, 24, 2, -2, 1], 'lmfdb_label': '97104.b1', 'torsion': [6]}
  • id: 4516336
    {'degree': 6, 'field': [1093, -238, 397, -238, -1, 0, 1], 'lmfdb_label': '97104.b1', 'torsion': [3]}
  • id: 4516338
    {'degree': 12, 'field': [-597408, 392912, 194520, -201888, -11512, 38344, -2812, -3720, 452, 142, -43, -4, 1], 'lmfdb_label': '97104.b1', 'torsion': [4]}
  • id: 4516340
    {'degree': 12, 'field': [35344, -39104, 21632, -17152, 11016, -1696, -704, 208, 153, 52, 8, -4, 1], 'lmfdb_label': '97104.b1', 'torsion': [2, 6]}
  • id: 4516339
    {'degree': 12, 'field': [1028196, 0, 0, 0, 21544, 0, 0, 0, -316, 0, 0, 0, 1], 'lmfdb_label': '97104.b1', 'torsion': [3, 3]}
  • id: 4516342
    {'degree': 18, 'field': [115592568, -465821832, 774387964, -677673136, 328127030, -85368262, 16024541, -6558008, 1414746, 357430, -89505, -19720, -3178, 2662, -117, 32, -6, -6, 1], 'lmfdb_label': '97104.b1', 'torsion': [6]}
  • id: 4516341
    {'degree': 18, 'field': [17922515625, 0, 3842587350, 0, 926105481, 0, 198948250, 0, 14349156, 0, -54777, 0, -33541, 0, -471, 0, 51, 0, 1], 'lmfdb_label': '97104.b1', '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: 2381383
    {'conductor': 97104, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '97104.b1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2381384
    {'conductor': 97104, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '97104.b1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2381385
    {'conductor': 97104, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '97104.b1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2381386
    {'conductor': 97104, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '97104.b1', 'prime': 17, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 2302632
    {'adelic_gens': [[4, 3, 9, 7], [1, 6, 0, 1], [21, 22, 14, 17], [1, 0, 6, 1], [6, 1, 19, 6], [13, 6, 15, 19], [17, 18, 0, 23], [3, 4, 8, 11], [19, 6, 18, 7]], 'adelic_image': '24.16.0.?', 'conductor': 97104, 'lmfdb_label': '97104.b1', 'prime': 0}
  • id: 391211
    {'conductor': 97104, 'elladic_image': '3.4.0.1', 'lmfdb_label': '97104.b1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 5049331
    {'lmfdb_iso': '97104.b', 'p': 5, 'prec': 20, 'unit': 4934526245194, 'val': 1}
  • id: 5049330
    {'lmfdb_iso': '97104.b', 'p': 11, 'prec': 20, 'unit': 39836264310365408968, 'val': 1}
  • id: 5049337
    {'lmfdb_iso': '97104.b', 'p': 13, 'prec': 20, 'unit': 437577280442303634541, 'val': 1}
  • id: 5049340
    {'lmfdb_iso': '97104.b', 'p': 19, 'prec': 20, 'unit': 735000217039819507160928, 'val': 1}
  • id: 5049343
    {'lmfdb_iso': '97104.b', 'p': 23, 'prec': 20, 'unit': 4410465884995586042752010, 'val': 1}
  • id: 5049336
    {'lmfdb_iso': '97104.b', 'p': 29, 'prec': 20, 'unit': 4346204087981533484344594331, 'val': 1}
  • id: 5049333
    {'lmfdb_iso': '97104.b', 'p': 31, 'prec': 20, 'unit': 14946689390303686757967003565, 'val': 1}
  • id: 5049347
    {'lmfdb_iso': '97104.b', 'p': 37, 'prec': 20, 'unit': 130665761939484630669001077081, 'val': 1}
  • id: 5049334
    {'lmfdb_iso': '97104.b', 'p': 41, 'prec': 20, 'unit': 2532880280903929426251660791472, 'val': 1}
  • id: 5049335
    {'lmfdb_iso': '97104.b', 'p': 43, 'prec': 20, 'unit': 8929219723274092800366835693952, 'val': 1}
  • id: 5049345
    {'lmfdb_iso': '97104.b', 'p': 47, 'prec': 20, 'unit': 23047313575958528930159766302601, 'val': 1}
  • id: 5049341
    {'lmfdb_iso': '97104.b', 'p': 53, 'prec': 20, 'unit': 513478608942115918721347113813890, 'val': 1}
  • id: 5049339
    {'lmfdb_iso': '97104.b', 'p': 59, 'prec': 20, 'unit': 3732779647791302917800512040693862, 'val': 1}
  • id: 5049346
    {'lmfdb_iso': '97104.b', 'p': 61, 'prec': 20, 'unit': 4586946044922036913589337744390847, 'val': 1}
  • id: 5049329
    {'lmfdb_iso': '97104.b', 'p': 67, 'prec': 20, 'unit': 45103288203714827152194662193637648, 'val': 1}
  • id: 5049332
    {'lmfdb_iso': '97104.b', 'p': 71, 'prec': 20, 'unit': 94916033706169309098875588661821772, 'val': 1}
  • id: 5049342
    {'lmfdb_iso': '97104.b', 'p': 73, 'prec': 20, 'unit': 162000847853632876055671868887732382, 'val': 1}
  • id: 5049338
    {'lmfdb_iso': '97104.b', 'p': 79, 'prec': 20, 'unit': 764311001236597721316972202827602359, 'val': 1}
  • id: 5049344
    {'lmfdb_iso': '97104.b', 'p': 83, 'prec': 20, 'unit': 2609686990427102943400776930614706866, 'val': 1}
  • id: 5049328
    {'lmfdb_iso': '97104.b', 'p': 97, 'prec': 20, 'unit': 4548727331899971696033746808353051804, 'val': 1}