Elliptic curve data - 126960.ci2

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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': '126960p', 'Clabel': '126960p1', 'Cnumber': 1, 'abc_quality': 0.8730354407383869, 'absD': 63542214422092800, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 552, 'ainvs': [0, 1, 0, 63304, -10443420], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 126960, 'degree': 1216512, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9083051024677761425653122046', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 60, 'isogeny_degrees': [1, 2], 'jinv': [185073116, 419175], 'lmfdb_iso': '126960.ci', 'lmfdb_label': '126960.ci2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 120, -900], 'min_quad_twist_disc': 92, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.d.1', '46.6.0.a.1', '552.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1419765497573400150971537886', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.23706465596341979401909097919', 'prec': 107}, 'szpiro_ratio': 3.9015998792081166, '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, 1, 0, -1, 0, 2, 0, 1, 0, -2, 0, 2, 0, -1, 0, 8, 0, 4, 0], 'aplist': [0, 1, -1, 2, -2, 2, 8, 4, 0, 2, -8, -8, 2, 8, -8, 6, 8, 8, -16, -8, -10, 10, 6, -4, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 126960, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '126960.ci', 'trace_hash': 605249804182267503}
• 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': '0.022002257770986941029254700181', 'prec': 107}, 'conductor': 126960, 'gens': [[199, 3174, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1419765497573400150971537886', 'prec': 100}], 'lmfdb_label': '126960.ci2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.18113351019706174223878585062', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.9288106089732736170729311623868723819', 'prec': 130}, 'tamagawa_product': 192, 'torsion_generators': [[130, 0, 1]], 'xcoord_integral_points': [130, 199, 514, 1786]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [4, 0], '5': [1, 0], '7': [1, 0], '11': [3, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': 'a', '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '126960.ci2'}
• ec_torsion_growth •

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

  
  
  • id: 5777442
    {'degree': 2, 'field': [6, -1, 1], 'lmfdb_label': '126960.ci2', 'torsion': [2, 2]}
  • id: 5777443
    {'degree': 4, 'field': [-23, 0, -2, 0, 1], 'lmfdb_label': '126960.ci2', 'torsion': [4]}
  • id: 5777446
    {'degree': 8, 'field': [-14283, 0, -1656, 0, -414, 0, 0, 0, 1], 'lmfdb_label': '126960.ci2', 'torsion': [6]}
  • id: 5777445
    {'degree': 8, 'field': [1296, 0, -384, 0, 241, 0, -26, 0, 1], 'lmfdb_label': '126960.ci2', 'torsion': [2, 4]}
  • id: 5777444
    {'degree': 8, 'field': [46656, 0, -12657, 0, 1273, 0, -57, 0, 1], 'lmfdb_label': '126960.ci2', 'torsion': [2, 4]}
  • id: 5777447
    {'degree': 16, 'field': [-207765248, 281284608, 92697856, 53677824, 6754432, 682368, 3729760, 1727712, -14108, -52800, 27328, 10128, -452, -480, -56, 0, 1], 'lmfdb_label': '126960.ci2', 'torsion': [8]}
  • id: 5777448
    {'degree': 16, 'field': [11664, 0, -55536, 0, 80296, 0, 12768, 0, 1149, 0, 136, 0, 66, 0, 0, 0, 1], 'lmfdb_label': '126960.ci2', 'torsion': [2, 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: 3127802
    {'conductor': 126960, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '126960.ci2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3127803
    {'conductor': 126960, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '126960.ci2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 3127804
    {'conductor': 126960, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '126960.ci2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3127805
    {'conductor': 126960, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '126960.ci2', 'prime': 23, '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: 2491399
    {'adelic_gens': [[185, 4, 370, 9], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [73, 484, 344, 207], [549, 4, 548, 5], [194, 1, 455, 0], [277, 4, 2, 9]], 'adelic_image': '552.12.0.?', 'conductor': 126960, 'lmfdb_label': '126960.ci2', 'prime': 0}
  • id: 495443
    {'conductor': 126960, 'elladic_image': '2.3.0.1', 'lmfdb_label': '126960.ci2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 6650746
    {'lmfdb_iso': '126960.ci', 'p': 7, 'prec': 20, 'unit': 9400789922611656, 'val': 1}
  • id: 6650744
    {'lmfdb_iso': '126960.ci', 'p': 11, 'prec': 20, 'unit': 1891130549972841327, 'val': 2}
  • id: 6650750
    {'lmfdb_iso': '126960.ci', 'p': 13, 'prec': 20, 'unit': 1122090996122904831350, 'val': 1}
  • id: 6650752
    {'lmfdb_iso': '126960.ci', 'p': 17, 'prec': 20, 'unit': 236379978228231539365507, 'val': 1}
  • id: 6650753
    {'lmfdb_iso': '126960.ci', 'p': 19, 'prec': 20, 'unit': 1666602312258790660154959, 'val': 1}
  • id: 6650749
    {'lmfdb_iso': '126960.ci', 'p': 29, 'prec': 20, 'unit': 2602629529942711403245499997, 'val': 1}
  • id: 6650762
    {'lmfdb_iso': '126960.ci', 'p': 31, 'prec': 20, 'unit': 16817544624615673494410294362, 'val': 1}
  • id: 6650745
    {'lmfdb_iso': '126960.ci', 'p': 37, 'prec': 20, 'unit': 472114230852115648088213579723, 'val': 1}
  • id: 6650747
    {'lmfdb_iso': '126960.ci', 'p': 41, 'prec': 20, 'unit': 4017083844133982100355566303776, 'val': 1}
  • id: 6650748
    {'lmfdb_iso': '126960.ci', 'p': 43, 'prec': 20, 'unit': 2154911250818781607522301401954, 'val': 1}
  • id: 6650760
    {'lmfdb_iso': '126960.ci', 'p': 47, 'prec': 20, 'unit': 30538717238009353955449267040137, 'val': 1}
  • id: 6650754
    {'lmfdb_iso': '126960.ci', 'p': 53, 'prec': 20, 'unit': 454052715018183598599831856467184, 'val': 1}
  • id: 6650755
    {'lmfdb_iso': '126960.ci', 'p': 59, 'prec': 20, 'unit': 4056001354126715345783591823477896, 'val': 1}
  • id: 6650761
    {'lmfdb_iso': '126960.ci', 'p': 61, 'prec': 20, 'unit': 5825547179070397364797377686208069, 'val': 1}
  • id: 6650743
    {'lmfdb_iso': '126960.ci', 'p': 67, 'prec': 20, 'unit': 42218076072305643894696211813252179, 'val': 1}
  • id: 6650759
    {'lmfdb_iso': '126960.ci', 'p': 71, 'prec': 20, 'unit': 42376888595935586017428879747327588, 'val': 1}
  • id: 6650756
    {'lmfdb_iso': '126960.ci', 'p': 73, 'prec': 20, 'unit': 118297743397979691904787897578474548, 'val': 1}
  • id: 6650751
    {'lmfdb_iso': '126960.ci', 'p': 79, 'prec': 20, 'unit': 639442119656582664597171426396970044, 'val': 1}
  • id: 6650757
    {'lmfdb_iso': '126960.ci', 'p': 83, 'prec': 20, 'unit': 408644739197110515174189593429138860, 'val': 1}
  • id: 6650758
    {'lmfdb_iso': '126960.ci', 'p': 89, 'prec': 20, 'unit': 10789786938670289048164181469821637092, 'val': 1}
  • id: 6650742
    {'lmfdb_iso': '126960.ci', 'p': 97, 'prec': 20, 'unit': 11905464049123203438975077346371371548, 'val': 1}