Elliptic curve data - 97461.i1

Formats: - HTML - YAML - JSON - 2024-05-03T14:03:27.304349

• 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': '97461y', 'Clabel': '97461y2', 'Cnumber': 2, 'abc_quality': 0.9582167073431065, 'absD': 171242681595626277, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 884, 'ainvs': [1, -1, 1, -144437, -7035640], 'analytic_rank': 1, 'bad_primes': [3, 7, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 97461, 'degree': 1658880, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9990053853866473708608726651', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2], 'jinv': [3885442650361, 1996623837], 'lmfdb_iso': '97461.i', 'lmfdb_label': '97461.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -327, -900], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '26.6.0.b.1', '68.6.0.c.1', '884.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6103756638291389633182966387', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.47674416652493587261057367492', 'prec': 103}, 'szpiro_ratio': 4.11374064073472, '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, -6, 0, 1, 0, 0, -1, 1, 0, -4, 4], 'aplist': [-1, 0, -4, 0, -6, 1, 1, -4, 0, 6, -10, -4, 0, 12, 8, -2, -8, 10, 12, -2, -4, -4, -12, -6, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 97461, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '97461.i', 'trace_hash': 835616175087508708}
• 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': '0.018352109154750793259350748017', 'prec': 107}, 'conductor': 97461, 'gens': [[-222, 3859, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.6103756638291389633182966387', 'prec': 100}], 'lmfdb_label': '97461.i1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.25883694068060382390253766261', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6672988406881233872871185310546273919', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[1611, -1615, 2]], 'xcoord_integral_points': [-222, -144, 445]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [9, 0], '3': 'a', '5': [1, 0], '7': 'a', '11': [1, 0], '13': [2, 0], '17': [4, 0], '19': [3, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '97461.i1'}
• ec_torsion_growth •

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

  
  
  • id: 4537146
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '97461.i1', 'torsion': [2, 2]}
  • id: 4537147
    {'degree': 4, 'field': [22932, 0, -315, 0, 1], 'lmfdb_label': '97461.i1', 'torsion': [4]}
  • id: 4537150
    {'degree': 8, 'field': [-243, -2253, -7395, -1326, -645, -129, 3, -4, 1], 'lmfdb_label': '97461.i1', 'torsion': [6]}
  • id: 4537148
    {'degree': 8, 'field': [781456, 0, -81796, 0, 3003, 0, -52, 0, 1], 'lmfdb_label': '97461.i1', 'torsion': [2, 4]}
  • id: 4537149
    {'degree': 8, 'field': [3111696, 0, -629748, 0, 33957, 0, -357, 0, 1], 'lmfdb_label': '97461.i1', 'torsion': [2, 4]}
  • id: 4537152
    {'degree': 16, 'field': [26273403, 43143048, -34668348, -16850535, 8153223, 376584, -148677, -106620, 197620, -134411, 48022, -12446, 2863, -392, 76, -8, 1], 'lmfdb_label': '97461.i1', 'torsion': [2, 6]}
  • id: 4537151
    {'degree': 16, 'field': [19518045849, 0, -64715128524, 0, 30259052460, 0, -4063650372, 0, 203785054, 0, -1286676, 0, -17572, 0, 36, 0, 1], 'lmfdb_label': '97461.i1', '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: 2392272
    {'conductor': 97461, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '97461.i1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2392273
    {'conductor': 97461, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '97461.i1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2392274
    {'conductor': 97461, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '97461.i1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2392275
    {'conductor': 97461, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '97461.i1', '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: 2305414
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [881, 4, 880, 5], [105, 4, 210, 9], [342, 1, 271, 0], [665, 222, 220, 663]], 'adelic_image': '884.12.0.?', 'conductor': 97461, 'lmfdb_label': '97461.i1', 'prime': 0}
  • id: 393086
    {'conductor': 97461, 'elladic_image': '2.3.0.1', 'lmfdb_label': '97461.i1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 5071157
    {'lmfdb_iso': '97461.i', 'p': 5, 'prec': 20, 'unit': 52027625442066, 'val': -1}
  • id: 5071150
    {'lmfdb_iso': '97461.i', 'p': 11, 'prec': 20, 'unit': 11093748024551656924, 'val': 1}
  • id: 5071152
    {'lmfdb_iso': '97461.i', 'p': 19, 'prec': 20, 'unit': 71811714134820264309708, 'val': 2}
  • id: 5071148
    {'lmfdb_iso': '97461.i', 'p': 29, 'prec': 20, 'unit': 5000619267943150852595408717, 'val': 1}
  • id: 5071145
    {'lmfdb_iso': '97461.i', 'p': 31, 'prec': 20, 'unit': 12905066586716124265808145499, 'val': 1}
  • id: 5071143
    {'lmfdb_iso': '97461.i', 'p': 37, 'prec': 20, 'unit': 166092604968961464485557414007, 'val': 1}
  • id: 5071147
    {'lmfdb_iso': '97461.i', 'p': 43, 'prec': 20, 'unit': 5513104764515238129419506933257, 'val': 1}
  • id: 5071155
    {'lmfdb_iso': '97461.i', 'p': 47, 'prec': 20, 'unit': 50792410904154989577090133811413, 'val': 1}
  • id: 5071153
    {'lmfdb_iso': '97461.i', 'p': 53, 'prec': 20, 'unit': 534841164108378808367315392519812, 'val': 1}
  • id: 5071151
    {'lmfdb_iso': '97461.i', 'p': 59, 'prec': 20, 'unit': 653950019452656403977036217384544, 'val': 1}
  • id: 5071156
    {'lmfdb_iso': '97461.i', 'p': 61, 'prec': 20, 'unit': 5077599811573520543246424048255811, 'val': 1}
  • id: 5071142
    {'lmfdb_iso': '97461.i', 'p': 67, 'prec': 20, 'unit': 12509666635182148166498525644257622, 'val': 1}
  • id: 5071144
    {'lmfdb_iso': '97461.i', 'p': 71, 'prec': 20, 'unit': 35600494229598009940205290267906656, 'val': 1}
  • id: 5071146
    {'lmfdb_iso': '97461.i', 'p': 73, 'prec': 20, 'unit': 85730596797221258987398302452181491, 'val': 1}
  • id: 5071149
    {'lmfdb_iso': '97461.i', 'p': 79, 'prec': 20, 'unit': 285149647060047318051012522379323028, 'val': 1}
  • id: 5071141
    {'lmfdb_iso': '97461.i', 'p': 83, 'prec': 20, 'unit': 863776394435376028320779735761495402, 'val': 1}
  • id: 5071154
    {'lmfdb_iso': '97461.i', 'p': 89, 'prec': 20, 'unit': 739351602664530579896255841882896825, 'val': 1}
  • id: 5071140
    {'lmfdb_iso': '97461.i', 'p': 97, 'prec': 20, 'unit': 11048453888180958832974789522065394743, 'val': 1}