Elliptic curve data - 10005.l2

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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': '10005g', 'Clabel': '10005g1', 'Cnumber': 1, 'abc_quality': 0.9181494002490342, 'absD': 6424789539375, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2668, 'ainvs': [1, 1, 0, -6747, -248544], 'analytic_rank': 1, 'bad_primes': [3, 5, 23, 29], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 10005, 'degree': 33024, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1816522586068356258159068334', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2], 'jinv': [-33974761330806841, 6424789539375], 'lmfdb_iso': '10005.l', 'lmfdb_label': '10005.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -6747, -248544], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '46.6.0.a.1', '116.6.0.?', '2668.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.3374611167212879377195069684', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1816522586068356258159068334', 'prec': 100}, 'szpiro_ratio': 4.163262310084774, '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, -1, -1, 1, -1, 4, -3, 1, 1, 6, 1, -6, 4, -1, -1, 0, 1, -2, -1], 'aplist': [1, -1, 1, 4, 6, -6, 0, -2, 1, -1, -8, -4, -6, -6, 4, -10, -12, -4, 16, 8, 6, -10, -12, -16, -16], 'class_deg': 2, 'class_size': 2, 'conductor': 10005, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '10005.l', 'trace_hash': 2085322832124046767}
• 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': '0.094108724902627303310087999982', 'prec': 107}, 'conductor': 10005, 'gens': [[2957, 135171, 4]], 'heights': [{'__RealLiteral__': 0, 'data': '5.3374611167212879377195069684', 'prec': 100}], 'lmfdb_label': '10005.l2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.26071017412081870359592473408', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.5661216684140256814515061708046634648', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[96, -48, 1]], 'xcoord_integral_points': [96]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [1, 0], '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': [3, 0], '17': [1, 1, 0], '19': [1, 0], '23': [2, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '10005.l2'}
• ec_torsion_growth •

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

  
  
  • id: 519021
    {'degree': 2, 'field': [6, -1, 1], 'lmfdb_label': '10005.l2', 'torsion': [2, 2]}
  • id: 519022
    {'degree': 4, 'field': [5, 11, 0, -1, 1], 'lmfdb_label': '10005.l2', 'torsion': [4]}
  • id: 519025
    {'degree': 8, 'field': [-11907, 0, 1170, 0, 147, 0, -26, 0, 1], 'lmfdb_label': '10005.l2', 'torsion': [6]}
  • id: 519023
    {'degree': 8, 'field': [900, 600, 767, 0, -60, -20, 0, 0, 1], 'lmfdb_label': '10005.l2', 'torsion': [2, 4]}
  • id: 519024
    {'degree': 8, 'field': [2646, -2394, 201, 212, 68, -18, -6, -2, 1], 'lmfdb_label': '10005.l2', 'torsion': [2, 4]}
  • id: 519026
    {'degree': 16, 'field': [-127659920, 523991936, -251199836, -576785512, 366951017, -95812876, 34477908, -2119960, 470264, 20296, 16854, -13196, 3716, -728, 124, -8, 1], 'lmfdb_label': '10005.l2', 'torsion': [8]}
  • id: 519027
    {'degree': 16, 'field': [270589719, -310475985, 153776129, -63688250, 22372301, -9123256, 3470890, -134269, 11469, -26535, 4251, -361, 805, -49, 19, -4, 1], 'lmfdb_label': '10005.l2', '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: 211534
    {'conductor': 10005, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '10005.l2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 211535
    {'conductor': 10005, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '10005.l2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 211536
    {'conductor': 10005, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '10005.l2', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 211537
    {'conductor': 10005, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '10005.l2', 'prime': 29, '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: 1730144
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [2665, 4, 2664, 5], [669, 2002, 2000, 667], [930, 1, 2203, 0], [553, 4, 1106, 9]], 'adelic_image': '2668.12.0.?', 'conductor': 10005, 'lmfdb_label': '10005.l2', 'prime': 0}
  • id: 48335
    {'conductor': 10005, 'elladic_image': '2.3.0.1', 'lmfdb_label': '10005.l2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 422406
    {'lmfdb_iso': '10005.l', 'p': 7, 'prec': 20, 'unit': 2537602005732769, 'val': 1}
  • id: 422411
    {'lmfdb_iso': '10005.l', 'p': 11, 'prec': 20, 'unit': 37771978614937267655, 'val': 1}
  • id: 422409
    {'lmfdb_iso': '10005.l', 'p': 13, 'prec': 20, 'unit': 13743512058743276002, 'val': 2}
  • id: 422413
    {'lmfdb_iso': '10005.l', 'p': 19, 'prec': 20, 'unit': 1768756295454921459772004, 'val': 1}
  • id: 422420
    {'lmfdb_iso': '10005.l', 'p': 31, 'prec': 20, 'unit': 14804670880007598421310971083, 'val': 1}
  • id: 422405
    {'lmfdb_iso': '10005.l', 'p': 37, 'prec': 20, 'unit': 435121605147761885622388884744, 'val': 1}
  • id: 422407
    {'lmfdb_iso': '10005.l', 'p': 41, 'prec': 20, 'unit': 1196092066708480059001767201593, 'val': 1}
  • id: 422408
    {'lmfdb_iso': '10005.l', 'p': 43, 'prec': 20, 'unit': 10444289477580251565850629725840, 'val': 1}
  • id: 422418
    {'lmfdb_iso': '10005.l', 'p': 47, 'prec': 20, 'unit': 31077483162330296269539147101716, 'val': 1}
  • id: 422414
    {'lmfdb_iso': '10005.l', 'p': 53, 'prec': 20, 'unit': 92400567096015143806492502078743, 'val': 1}
  • id: 422412
    {'lmfdb_iso': '10005.l', 'p': 59, 'prec': 20, 'unit': 3069621992534908713403697252244704, 'val': 1}
  • id: 422419
    {'lmfdb_iso': '10005.l', 'p': 61, 'prec': 20, 'unit': 3213299963405192884280518361532455, 'val': 1}
  • id: 422404
    {'lmfdb_iso': '10005.l', 'p': 67, 'prec': 20, 'unit': 16352483677428207175988919976520111, 'val': 1}
  • id: 422417
    {'lmfdb_iso': '10005.l', 'p': 71, 'prec': 20, 'unit': 62018730383769786706964879515586151, 'val': 1}
  • id: 422415
    {'lmfdb_iso': '10005.l', 'p': 73, 'prec': 20, 'unit': 112153479543055358078260848646277399, 'val': 1}
  • id: 422410
    {'lmfdb_iso': '10005.l', 'p': 79, 'prec': 20, 'unit': 596063781731619982675367492245527852, 'val': 1}
  • id: 422403
    {'lmfdb_iso': '10005.l', 'p': 83, 'prec': 20, 'unit': 1072929714809997785329906580473149971, 'val': 1}
  • id: 422416
    {'lmfdb_iso': '10005.l', 'p': 89, 'prec': 20, 'unit': 150905284070759460109534204936490554, 'val': 1}
  • id: 422402
    {'lmfdb_iso': '10005.l', 'p': 97, 'prec': 20, 'unit': 55215972834898839370301803123502102684, 'val': 1}