Elliptic curve data - 94640.w1

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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': '94640cc', 'Clabel': '94640cc2', 'Cnumber': 2, 'abc_quality': 1.0293722326655252, 'absD': 2119162223360, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 5460, 'ainvs': [0, -1, 0, -136101, 19371481], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 94640, 'degree': 336960, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5400220199970839408664068861', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 22, 'isogeny_degrees': [1, 3], 'jinv': [-225637236736, 1715], 'lmfdb_iso': '94640.w', 'lmfdb_label': '94640.w1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -805, -9065], 'min_quad_twist_disc': -52, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '70.2.0.a.1', '156.8.0.?', '210.8.0.?', '5460.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2067854448202079873925700599', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.20455077910698130010515824899', 'prec': 107}, 'szpiro_ratio': 4.108723774931683, '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, -1, 0, 1, 0, -2, 0, 3, 0, 0, 0, 1, 0, -3, 0, 2, 0], 'aplist': [0, -1, -1, 1, 3, 0, -3, 2, 6, -9, 8, 10, 0, -2, -3, 0, 12, 8, 8, 0, -14, -5, -12, -12, -17], 'class_deg': 3, 'class_size': 2, 'conductor': 94640, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '94640.w', 'trace_hash': 930825830164316885}
• 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': '0.045957232648218244357093182459', 'prec': 107}, 'conductor': 94640, 'gens': [[213, 14, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2067854448202079873925700599', 'prec': 100}], 'lmfdb_label': '94640.w1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.73957138448256368108224553795', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.3550238931945260735961535490647603492', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [-200, 213]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [3, 0], '7': [2, 0], '11': [3, 0], '13': 'a', '17': [1, 0], '19': [1, 0], '23': [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': '94640.w1'}
• ec_torsion_growth •

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

  
  
  • id: 4411066
    {'degree': 2, 'field': [-39, 0, 1], 'lmfdb_label': '94640.w1', 'torsion': [3]}
  • id: 4411067
    {'degree': 3, 'field': [-2, 2, 0, 1], 'lmfdb_label': '94640.w1', 'torsion': [2]}
  • id: 4411070
    {'degree': 6, 'field': [-13718, 0, -1520, -118, -38, -2, 1], 'lmfdb_label': '94640.w1', 'torsion': [6]}
  • id: 4411068
    {'degree': 6, 'field': [1, -3, 8, -11, 8, -3, 1], 'lmfdb_label': '94640.w1', 'torsion': [2, 2]}
  • id: 4411069
    {'degree': 6, 'field': [2597, 1560, 507, -40, 39, 0, 1], 'lmfdb_label': '94640.w1', 'torsion': [3]}
  • id: 4411071
    {'degree': 12, 'field': [-7047602, -16400880, -11798012, -1229124, 1446772, 214260, -80404, 520, 678, -62, -8, -2, 1], 'lmfdb_label': '94640.w1', 'torsion': [4]}
  • id: 4411072
    {'degree': 12, 'field': [38416, 0, 197280, 0, 169728, 0, 72680, 0, 4908, 0, 120, 0, 1], 'lmfdb_label': '94640.w1', 'torsion': [3, 3]}
  • id: 4411073
    {'degree': 12, 'field': [176891365, -110021730, 72252651, -24478592, 7836280, -1320238, 178865, -5722, -3130, 552, -75, -2, 1], 'lmfdb_label': '94640.w1', 'torsion': [2, 6]}
  • id: 4411074
    {'degree': 18, 'field': [-185060404179, -246205070748, -68065876872, 44080059162, 23306437053, -4824084972, -4293328337, -389813316, 136973631, 40985786, 9910944, 1289034, -47284, -10410, -5127, -428, 3, 0, 1], 'lmfdb_label': '94640.w1', 'torsion': [9]}
  • id: 4411075
    {'degree': 18, 'field': [360819341, 286866720, 1408733316, 361138354, 335673084, -118557690, 24537631, -7888776, 1854096, -1214618, 108210, 30168, -23703, 6468, -444, -32, 54, -6, 1], 'lmfdb_label': '94640.w1', 'torsion': [6]}
• 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: 2319193
    {'conductor': 94640, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '94640.w1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2319194
    {'conductor': 94640, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '94640.w1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2319195
    {'conductor': 94640, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '94640.w1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 2319196
    {'conductor': 94640, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '94640.w1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 2287066
    {'adelic_gens': [[4, 3, 9, 7], [389, 3354, 2847, 4601], [4913, 3354, 2769, 4601], [5455, 6, 5454, 7], [1259, 0, 0, 5459], [2482, 663, 2405, 3353], [1, 6, 0, 1], [4835, 3354, 4836, 3353], [3, 4, 8, 11], [2729, 0, 0, 5459], [1, 0, 6, 1]], 'adelic_image': '5460.16.0.?', 'conductor': 94640, 'lmfdb_label': '94640.w1', 'prime': 0}
  • id: 382649
    {'conductor': 94640, 'elladic_image': '3.4.0.1', 'lmfdb_label': '94640.w1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 4917390
    {'lmfdb_iso': '94640.w', 'p': 11, 'prec': 20, 'unit': 3775050637146622759, 'val': 2}
  • id: 4917391
    {'lmfdb_iso': '94640.w', 'p': 17, 'prec': 20, 'unit': 102412484691378796257236, 'val': 1}
  • id: 4917392
    {'lmfdb_iso': '94640.w', 'p': 19, 'prec': 20, 'unit': 335120979228981911060692, 'val': 1}
  • id: 4917394
    {'lmfdb_iso': '94640.w', 'p': 23, 'prec': 20, 'unit': 44049328033827318980648433, 'val': 1}
  • id: 4917388
    {'lmfdb_iso': '94640.w', 'p': 29, 'prec': 20, 'unit': 5918598692528460550307867859, 'val': 1}
  • id: 4917398
    {'lmfdb_iso': '94640.w', 'p': 31, 'prec': 20, 'unit': 1682492747290355055573410512, 'val': 1}
  • id: 4917385
    {'lmfdb_iso': '94640.w', 'p': 37, 'prec': 20, 'unit': 336662002605434249587070234152, 'val': 1}
  • id: 4917387
    {'lmfdb_iso': '94640.w', 'p': 43, 'prec': 20, 'unit': 4689608192081054577400929874742, 'val': 1}
  • id: 4917396
    {'lmfdb_iso': '94640.w', 'p': 47, 'prec': 20, 'unit': 9583667111935299917118165802497, 'val': 1}
  • id: 4917393
    {'lmfdb_iso': '94640.w', 'p': 59, 'prec': 20, 'unit': 1304997233156758806154069287546998, 'val': 1}
  • id: 4917397
    {'lmfdb_iso': '94640.w', 'p': 61, 'prec': 20, 'unit': 3720035221446234274497833981490062, 'val': 1}
  • id: 4917384
    {'lmfdb_iso': '94640.w', 'p': 67, 'prec': 20, 'unit': 23040362234590170087381620960868816, 'val': 1}
  • id: 4917386
    {'lmfdb_iso': '94640.w', 'p': 73, 'prec': 20, 'unit': 37729390784382103507125995705814527, 'val': 1}
  • id: 4917389
    {'lmfdb_iso': '94640.w', 'p': 79, 'prec': 20, 'unit': 555660377403535512978959351662400250, 'val': 1}
  • id: 4917383
    {'lmfdb_iso': '94640.w', 'p': 83, 'prec': 20, 'unit': 1563330681309668840403035611800698438, 'val': 1}
  • id: 4917395
    {'lmfdb_iso': '94640.w', 'p': 89, 'prec': 20, 'unit': 10673930267463924705029442329687893587, 'val': 1}
  • id: 4917382
    {'lmfdb_iso': '94640.w', 'p': 97, 'prec': 20, 'unit': 35424417348985442636388317847095828521, 'val': 1}