Elliptic curve data - 97461.j2

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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': '97461b', 'Clabel': '97461b2', 'Cnumber': 2, 'abc_quality': 1.0174968332037049, 'absD': 380036867094225826804683, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1092, 'ainvs': [1, -1, 1, -18731117, 43055001280], 'analytic_rank': 1, 'bad_primes': [3, 7, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 97461, 'degree': 13271040, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2288788980967675536170487140', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2], 'jinv': [-313859434290315003, 164114213839849], 'lmfdb_iso': '97461.j', 'lmfdb_label': '97461.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -382268, -125415566], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '6.6.0.a.1', '364.6.0.?', '1092.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3878209562401324301866164286', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4319646070680286325179384146', 'prec': 100}, 'szpiro_ratio': 5.44034884468468, '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, -1, 0, -1, -4, 0, 0, 3, 0, 4, 0, 0, 1, 0, 0, -1, -1, 0, 4, 4], 'aplist': [-1, 0, -4, 0, 0, 1, -1, 4, -2, 0, 8, 10, 0, 4, 6, -12, -6, -2, 4, 8, 6, 0, 10, 8, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 97461, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '97461.j', 'trace_hash': 978278813144376384}
• 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': '0.0015683082377218284723129210068', 'prec': 110}, 'conductor': 97461, 'gens': [[2788, 110399, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3878209562401324301866164286', 'prec': 100}], 'lmfdb_label': '97461.j2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.088568722201417565151952118057', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9500206897249113358029808415949684684', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[-20789, 20785, 2]], 'xcoord_integral_points': [-5155, 2606, 2788, 1469617]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [7, 1], '3': 'a', '5': [1, 0], '7': 'a', '11': [3, 3, 0], '13': [2, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '97461.j2'}
• ec_torsion_growth •

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

  
  
  • id: 4536745
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '97461.j2', 'torsion': [2, 2]}
  • id: 4536746
    {'degree': 4, 'field': [-12, 0, -15, 0, 1], 'lmfdb_label': '97461.j2', 'torsion': [4]}
  • id: 4536749
    {'degree': 8, 'field': [-3, -165, 147, -66, 15, -9, 3, 0, 1], 'lmfdb_label': '97461.j2', 'torsion': [6]}
  • id: 4536748
    {'degree': 8, 'field': [144, 0, -180, 0, 237, 0, 15, 0, 1], 'lmfdb_label': '97461.j2', 'torsion': [2, 4]}
  • id: 4536747
    {'degree': 8, 'field': [4092529, 0, 584647, 0, 22542, 0, -323, 0, 1], 'lmfdb_label': '97461.j2', 'torsion': [2, 4]}
  • id: 4536751
    {'degree': 16, 'field': [20449, 3432, -1810, -336, -2687, 1935, 473, -495, 385, -207, -25, 45, -5, -12, 14, -6, 1], 'lmfdb_label': '97461.j2', 'torsion': [2, 6]}
  • id: 4536750
    {'degree': 16, 'field': [42225318144, 0, -13617777024, 0, 866446416, 0, 44962992, 0, -5836860, 0, -107784, 0, 3156, 0, 72, 0, 1], 'lmfdb_label': '97461.j2', '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: 2392092
    {'conductor': 97461, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '97461.j2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2392093
    {'conductor': 97461, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '97461.j2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2392094
    {'conductor': 97461, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '97461.j2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 2392095
    {'conductor': 97461, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '97461.j2', 'prime': 17, '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: 2305417
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [368, 1, 727, 0], [821, 274, 272, 819], [925, 4, 758, 9], [1089, 4, 1088, 5], [157, 4, 314, 9]], 'adelic_image': '1092.12.0.?', 'conductor': 97461, 'lmfdb_label': '97461.j2', 'prime': 0}
  • id: 393089
    {'conductor': 97461, 'elladic_image': '2.3.0.1', 'lmfdb_label': '97461.j2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 5070992
    {'lmfdb_iso': '97461.j', 'p': 5, 'prec': 20, 'unit': 21597750912826, 'val': -1}
  • id: 5070977
    {'lmfdb_iso': '97461.j', 'p': 19, 'prec': 20, 'unit': 379089236524592082107238, 'val': 1}
  • id: 5070988
    {'lmfdb_iso': '97461.j', 'p': 23, 'prec': 20, 'unit': 36589516096075756080872991, 'val': 1}
  • id: 5070982
    {'lmfdb_iso': '97461.j', 'p': 31, 'prec': 20, 'unit': 19203484004687171561584530316, 'val': 1}
  • id: 5070980
    {'lmfdb_iso': '97461.j', 'p': 37, 'prec': 20, 'unit': 28232748114652211717260575692, 'val': 1}
  • id: 5070984
    {'lmfdb_iso': '97461.j', 'p': 43, 'prec': 20, 'unit': 7896272008089556736967834934986, 'val': 1}
  • id: 5070985
    {'lmfdb_iso': '97461.j', 'p': 47, 'prec': 20, 'unit': 53013280820906944748839730731808, 'val': 1}
  • id: 5070987
    {'lmfdb_iso': '97461.j', 'p': 53, 'prec': 20, 'unit': 264177656589325015401652157796165, 'val': 1}
  • id: 5070990
    {'lmfdb_iso': '97461.j', 'p': 59, 'prec': 20, 'unit': 4230023943542226764385781185621135, 'val': 1}
  • id: 5070991
    {'lmfdb_iso': '97461.j', 'p': 61, 'prec': 20, 'unit': 369506490679807816037344203338197, 'val': 1}
  • id: 5070979
    {'lmfdb_iso': '97461.j', 'p': 67, 'prec': 20, 'unit': 37735756287149126371715153540353390, 'val': 1}
  • id: 5070981
    {'lmfdb_iso': '97461.j', 'p': 71, 'prec': 20, 'unit': 107316832997505516150451370468399866, 'val': 1}
  • id: 5070983
    {'lmfdb_iso': '97461.j', 'p': 73, 'prec': 20, 'unit': 15545585187054421257288407141397589, 'val': 1}
  • id: 5070986
    {'lmfdb_iso': '97461.j', 'p': 83, 'prec': 20, 'unit': 2651538042473113721012253250025140717, 'val': 1}
  • id: 5070989
    {'lmfdb_iso': '97461.j', 'p': 89, 'prec': 20, 'unit': 7684612514631349265619382263366292649, 'val': 1}
  • id: 5070978
    {'lmfdb_iso': '97461.j', 'p': 97, 'prec': 20, 'unit': 46443122670534594248425527187602773851, 'val': 1}