Elliptic curve data - 114240.ki1

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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': '114240ex', 'Clabel': '114240ex2', 'Cnumber': 2, 'abc_quality': 0.9152011079792173, 'absD': 1069565167534080, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 14280, 'ainvs': [0, 1, 0, -33185, 1703103], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 114240, 'degree': 442368, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5924126955457740259088483690', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 268, 'isogeny_degrees': [1, 2], 'jinv': [15417797707369, 4080067320], 'lmfdb_iso': '114240.ki', 'lmfdb_label': '114240.ki1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -518, 3132], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '120.6.0.?', '476.6.0.?', '14280.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.7013985012940944095161038892', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.55269192470585606178300018681', 'prec': 103}, 'szpiro_ratio': 3.6787724567779416, '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, 1, 0, 1, 0, -2, 0, 2, 0, 1, 0, 1, 0, 4, 0], 'aplist': [0, 1, 1, 1, -2, 2, 1, 4, 2, -2, -8, -6, -10, 0, 2, -10, 6, 10, 8, 8, 10, -6, -8, 4, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 114240, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '114240.ki', 'trace_hash': 1953688416071830406}
• 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': '0.041385471442115643375655937546', 'prec': 107}, 'conductor': 114240, 'gens': [[498, 10437, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.7013985012940944095161038892', 'prec': 100}], 'lmfdb_label': '114240.ki1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.45895697783553071434036010283', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.192696019513401751932224445612728190', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[57, 0, 1]], 'xcoord_integral_points': [57, 498]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [2, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [2, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 3, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '114240.ki1'}
• ec_torsion_growth •

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

  
  
  • id: 5243044
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '114240.ki1', 'torsion': [2, 2]}
  • id: 5243045
    {'degree': 4, 'field': [25, 5, 20, -1, 1], 'lmfdb_label': '114240.ki1', 'torsion': [4]}
  • id: 5243048
    {'degree': 8, 'field': [-768, 0, -712, 0, -96, 0, 0, 0, 1], 'lmfdb_label': '114240.ki1', 'torsion': [6]}
  • id: 5243047
    {'degree': 8, 'field': [8281, 0, 20444, 0, -294, 0, -76, 0, 1], 'lmfdb_label': '114240.ki1', 'torsion': [2, 4]}
  • id: 5243046
    {'degree': 8, 'field': [19180, -19600, 12916, -4852, 1509, -206, 79, -2, 1], 'lmfdb_label': '114240.ki1', 'torsion': [2, 4]}
  • id: 5243050
    {'degree': 16, 'field': [580644, 0, -109959708, 0, -17950415, 0, -995856, 0, -232620, 0, -33434, 0, -1632, 0, 0, 0, 1], 'lmfdb_label': '114240.ki1', 'torsion': [2, 6]}
  • id: 5243049
    {'degree': 16, 'field': [543279091000, 165025448000, -26542811100, -5744544900, 3169792025, 995288800, -215640740, -84446860, 23953280, -1707760, 6466, -22376, 7664, -756, 0, -4, 1], 'lmfdb_label': '114240.ki1', '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: 2808596
    {'conductor': 114240, 'conductor_valuation': 6, 'discriminant_valuation': 21, 'j_denominator_valuation': 3, 'kodaira_symbol': -15, 'lmfdb_label': '114240.ki1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2808597
    {'conductor': 114240, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '114240.ki1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2808598
    {'conductor': 114240, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '114240.ki1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2808599
    {'conductor': 114240, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '114240.ki1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 2808600
    {'conductor': 114240, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '114240.ki1', '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: 2411402
    {'adelic_gens': [[14277, 4, 14276, 5], [5356, 8929, 1785, 12496], [1, 2, 2, 5], [5714, 1, 11423, 0], [1, 4, 0, 1], [8401, 4, 2522, 9], [4762, 1, 4759, 0], [1, 0, 4, 1], [2, 1, 7139, 0], [3, 4, 8, 11], [6121, 4, 12242, 9]], 'adelic_image': '14280.12.0.?', 'conductor': 114240, 'lmfdb_label': '114240.ki1', 'prime': 0}
  • id: 451643
    {'conductor': 114240, 'elladic_image': '2.3.0.1', 'lmfdb_label': '114240.ki1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 5962790
    {'lmfdb_iso': '114240.ki', 'p': 11, 'prec': 20, 'unit': 58136236110474383135, 'val': 1}
  • id: 5962792
    {'lmfdb_iso': '114240.ki', 'p': 13, 'prec': 20, 'unit': 1378577816972578277906, 'val': 1}
  • id: 5962795
    {'lmfdb_iso': '114240.ki', 'p': 19, 'prec': 20, 'unit': 1299695396349475887798937, 'val': 1}
  • id: 5962798
    {'lmfdb_iso': '114240.ki', 'p': 23, 'prec': 20, 'unit': 43446126098730839255748916, 'val': 1}
  • id: 5962791
    {'lmfdb_iso': '114240.ki', 'p': 29, 'prec': 20, 'unit': 3838873672008513435922279143, 'val': 1}
  • id: 5962802
    {'lmfdb_iso': '114240.ki', 'p': 31, 'prec': 20, 'unit': 8799236776536196042646661085, 'val': 1}
  • id: 5962787
    {'lmfdb_iso': '114240.ki', 'p': 37, 'prec': 20, 'unit': 137155383533077215211392332458, 'val': 1}
  • id: 5962789
    {'lmfdb_iso': '114240.ki', 'p': 41, 'prec': 20, 'unit': 1873678875610050987926763240021, 'val': 1}
  • id: 5962800
    {'lmfdb_iso': '114240.ki', 'p': 47, 'prec': 20, 'unit': 11568712841585380099498834936073, 'val': 1}
  • id: 5962796
    {'lmfdb_iso': '114240.ki', 'p': 53, 'prec': 20, 'unit': 62075868847845086783480571628977, 'val': 1}
  • id: 5962794
    {'lmfdb_iso': '114240.ki', 'p': 59, 'prec': 20, 'unit': 2652203795272898929237254247291564, 'val': 1}
  • id: 5962801
    {'lmfdb_iso': '114240.ki', 'p': 61, 'prec': 20, 'unit': 7228189581367901986062933710729504, 'val': 1}
  • id: 5962786
    {'lmfdb_iso': '114240.ki', 'p': 67, 'prec': 20, 'unit': 23548173695899600083930934887733780, 'val': 1}
  • id: 5962788
    {'lmfdb_iso': '114240.ki', 'p': 71, 'prec': 20, 'unit': 92167222000279145138187580011813242, 'val': 1}
  • id: 5962797
    {'lmfdb_iso': '114240.ki', 'p': 73, 'prec': 20, 'unit': 61033650162178348569850818526670851, 'val': 1}
  • id: 5962793
    {'lmfdb_iso': '114240.ki', 'p': 79, 'prec': 20, 'unit': 203110711634188446545434575210885701, 'val': 1}
  • id: 5962785
    {'lmfdb_iso': '114240.ki', 'p': 83, 'prec': 20, 'unit': 92892006926051031784037654426249468, 'val': 1}
  • id: 5962799
    {'lmfdb_iso': '114240.ki', 'p': 89, 'prec': 20, 'unit': 2190222362193881080307090185217914999, 'val': 1}
  • id: 5962784
    {'lmfdb_iso': '114240.ki', 'p': 97, 'prec': 20, 'unit': 16889068652143677145187545282895987295, 'val': 1}