Elliptic curve data - 63426.p1

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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': '63426m', 'Clabel': '63426m1', 'Cnumber': 1, 'abc_quality': 0.9748390343887513, 'absD': 25538680848384, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 22, 'ainvs': [1, 0, 1, -6112, -305362], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 31], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 63426, 'degree': 188160, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2681898803353733498329431779', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1], 'jinv': [-26269282691257, 26575110144], 'lmfdb_iso': '63426.p', 'lmfdb_label': '63426.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -6112, -305362], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['22.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.8135531495203284136844396216', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.69585867958784897551141579048', 'prec': 103}, 'szpiro_ratio': 3.506928238525418, '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, -1, 1, 1, 3, -1, -2, -1, 1, -3, -1, 1, 2, 2, 3, 1, -4, -1, 6, 3], 'aplist': [-1, 1, 3, -2, -1, 2, -4, 6, 3, 8, 0, 1, -6, 2, -3, -9, -1, -4, -7, -3, 4, -12, -6, -9, -7], 'class_deg': 1, 'class_size': 1, 'conductor': 63426, 'isogeny_matrix': [[1]], 'lmfdb_iso': '63426.p', 'trace_hash': 1384698058713895472}
• 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': '0.079152432473940006090103981608', 'prec': 107}, 'conductor': 63426, 'gens': [[131761, -1578169, 37]], 'heights': [{'__RealLiteral__': 0, 'data': '6.8135531495203284136844396216', 'prec': 100}], 'lmfdb_label': '63426.p1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.25942685766724023891280899446', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.0704747325151467572040643062159534321', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [4, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [3, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': 'a', '37': [3, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '63426.p1'}
• ec_torsion_growth •

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

  
  
  • id: 3033200
    {'degree': 3, 'field': [-54, 21, -1, 1], 'lmfdb_label': '63426.p1', 'torsion': [2]}
  • id: 3033201
    {'degree': 6, 'field': [891, -627, 245, 28, -9, -1, 1], 'lmfdb_label': '63426.p1', 'torsion': [2, 2]}
  • id: 3033202
    {'degree': 8, 'field': [-203852, -5179, 3610, 3137, -1565, -7, 7, -4, 1], 'lmfdb_label': '63426.p1', 'torsion': [3]}
  • id: 3033203
    {'degree': 12, 'field': [-735750, 2451150, -1450005, 466908, -54791, 7346, -8661, 3928, -173, -38, -3, -4, 1], 'lmfdb_label': '63426.p1', 'torsion': [4]}
• 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: 1530717
    {'conductor': 63426, 'conductor_valuation': 1, 'discriminant_valuation': 28, 'j_denominator_valuation': 28, 'kodaira_symbol': 32, 'lmfdb_label': '63426.p1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1530718
    {'conductor': 63426, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '63426.p1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1530719
    {'conductor': 63426, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '63426.p1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1530720
    {'conductor': 63426, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '63426.p1', 'prime': 31, '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

  
  {'adelic_gens': [[1, 1, 21, 0], [1, 2, 0, 1], [1, 0, 2, 1], [21, 2, 20, 3], [13, 2, 13, 3]], 'adelic_image': '22.2.0.?', 'conductor': 63426, 'lmfdb_label': '63426.p1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 3230566
    {'lmfdb_iso': '63426.p', 'p': 5, 'prec': 20, 'unit': 14184388799441, 'val': 1}
  • id: 3230567
    {'lmfdb_iso': '63426.p', 'p': 7, 'prec': 20, 'unit': 10327206364929648, 'val': 1}
  • id: 3230571
    {'lmfdb_iso': '63426.p', 'p': 13, 'prec': 20, 'unit': 59876685782296865538, 'val': 2}
  • id: 3230573
    {'lmfdb_iso': '63426.p', 'p': 17, 'prec': 20, 'unit': 121120065487352753033081, 'val': 1}
  • id: 3230574
    {'lmfdb_iso': '63426.p', 'p': 19, 'prec': 20, 'unit': 12716694416682946845711, 'val': 1}
  • id: 3230578
    {'lmfdb_iso': '63426.p', 'p': 23, 'prec': 20, 'unit': 11515761978979086406724950, 'val': 1}
  • id: 3230570
    {'lmfdb_iso': '63426.p', 'p': 29, 'prec': 20, 'unit': 3860207286247076540696816171, 'val': 1}
  • id: 3230583
    {'lmfdb_iso': '63426.p', 'p': 37, 'prec': 20, 'unit': 601819247090295950827384106683, 'val': 1}
  • id: 3230568
    {'lmfdb_iso': '63426.p', 'p': 41, 'prec': 20, 'unit': 1095899137313512467823489049661, 'val': 1}
  • id: 3230569
    {'lmfdb_iso': '63426.p', 'p': 43, 'prec': 20, 'unit': 346979019053849883545599899041, 'val': 1}
  • id: 3230581
    {'lmfdb_iso': '63426.p', 'p': 47, 'prec': 20, 'unit': 53946520011086718336354452716887, 'val': 1}
  • id: 3230575
    {'lmfdb_iso': '63426.p', 'p': 53, 'prec': 20, 'unit': 236949799065313797306346499220226, 'val': 1}
  • id: 3230576
    {'lmfdb_iso': '63426.p', 'p': 59, 'prec': 20, 'unit': 1786485164367208223515085514566889, 'val': 1}
  • id: 3230582
    {'lmfdb_iso': '63426.p', 'p': 61, 'prec': 20, 'unit': 1589620580178475741649937325080648, 'val': 1}
  • id: 3230565
    {'lmfdb_iso': '63426.p', 'p': 67, 'prec': 20, 'unit': 36693836464585845775447086291185721, 'val': 1}
  • id: 3230580
    {'lmfdb_iso': '63426.p', 'p': 71, 'prec': 20, 'unit': 950894709577736191894231539158690, 'val': 2}
  • id: 3230577
    {'lmfdb_iso': '63426.p', 'p': 73, 'prec': 20, 'unit': 19181222986595116005107817906818962, 'val': 1}
  • id: 3230572
    {'lmfdb_iso': '63426.p', 'p': 79, 'prec': 20, 'unit': 782752442847135608691424546182113705, 'val': 1}
  • id: 3230564
    {'lmfdb_iso': '63426.p', 'p': 83, 'prec': 20, 'unit': 2715659798033341537886428644560174754, 'val': 1}
  • id: 3230579
    {'lmfdb_iso': '63426.p', 'p': 89, 'prec': 20, 'unit': 719987085057244867386500073626405142, 'val': 1}
  • id: 3230563
    {'lmfdb_iso': '63426.p', 'p': 97, 'prec': 20, 'unit': 27281836276547730580634392937822693275, 'val': 1}