Elliptic curve data - 350658.v1

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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': '350658v', 'Clabel': '350658v1', 'Cnumber': 1, 'abc_quality': 0.972581096546568, 'absD': 44504203279269888, 'adelic_genus': 3, 'adelic_index': 96, 'adelic_level': 85008, 'ainvs': [1, -1, 0, -135042, -16147180], 'analytic_rank': 2, 'bad_primes': [2, 3, 7, 11, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 350658, 'degree': 3170304, 'elladic_images': ['16.24.0.38'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9163149488289949143252688000', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2], 'jinv': [10395915890625, 1698758656], 'lmfdb_iso': '350658.v', 'lmfdb_label': '350658.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -135042, -16147180], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '8.12.0.v.1', '16.24.0.m.1', '66.6.0.a.1', '132.12.0.?', '264.24.0.?', '528.48.0.?', '644.12.0.?', '1288.24.0.?', '2576.48.1.?', '21252.24.0.?', '42504.48.1.?', '85008.96.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 13, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '4.9348074814072056910137225104', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49288191412832000976334897782', 'prec': 103}, 'szpiro_ratio': 3.685403161019328, '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, 0, 1, 0, 0, -1, -1, 0, 0, 0, 0, -4, 1, 0, 1, -2, 0, -8, 0], 'aplist': [-1, 0, 0, -1, 0, -4, -2, -8, 1, -2, -4, -2, -6, 0, 8, 4, 0, 8, -8, 8, 4, -8, 12, 8, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 350658, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '350658.v', 'trace_hash': 365410452288145537}
• 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': '0.021652596572554092025577906170', 'prec': 107}, 'conductor': 350658, 'gens': [[-151, 961, 1], [884, 23110, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.8893359272238605219047320487', 'prec': 100}, {'__RealLiteral__': 0, 'data': '2.6529487347290809709613215933', 'prec': 100}], 'lmfdb_label': '350658.v1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.25180537288091498644058247812', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.9408883036101630246155281972433892161', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-140, 70, 1]], 'xcoord_integral_points': [-151, -140, 535, 884, 1709, 2047, 6772]}
• lmfdb_label 350658.v1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14635918
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '350658.v1', 'torsion': [2, 2]}
  • id: 14635919
    {'degree': 4, 'field': [97, 16, -15, -2, 1], 'lmfdb_label': '350658.v1', 'torsion': [4]}
  • id: 14635922
    {'degree': 8, 'field': [-15880, -1307, 866, 881, -437, -7, 7, -4, 1], 'lmfdb_label': '350658.v1', 'torsion': [6]}
  • id: 14635920
    {'degree': 8, 'field': [841, 0, 529, 0, 156, 0, 25, 0, 1], 'lmfdb_label': '350658.v1', 'torsion': [2, 4]}
  • id: 14635921
    {'degree': 8, 'field': [1100254, 372638, -234847, -14740, 10726, 220, -184, -2, 1], 'lmfdb_label': '350658.v1', 'torsion': [2, 4]}
  • id: 14635924
    {'degree': 16, 'field': [5388553, 1293388, -1656266, -3767620, -172000, 1514260, 26786, -105316, 18913, -5236, 62, -1340, 392, 128, -8, -8, 1], 'lmfdb_label': '350658.v1', 'torsion': [8]}
  • id: 14635925
    {'degree': 16, 'field': [843321600, 0, -139279833, 0, 6982426, 0, -34208031, 0, 1835691, 0, -42955, 0, 1023, 0, -66, 0, 1], 'lmfdb_label': '350658.v1', 'torsion': [2, 6]}
  • id: 14635923
    {'degree': 16, 'field': [1210558864516, 0, 655641781320, 0, 89741130457, 0, 5824059636, 0, 211647432, 0, 4524222, 0, 56188, 0, 372, 0, 1], 'lmfdb_label': '350658.v1', 'torsion': [4, 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: 8681408
    {'conductor': 350658, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '350658.v1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8681409
    {'conductor': 350658, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '350658.v1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8681410
    {'conductor': 350658, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '350658.v1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8681411
    {'conductor': 350658, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '350658.v1', 'prime': 11, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8681412
    {'conductor': 350658, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '350658.v1', 'prime': 23, '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: 3853470
    {'adelic_gens': [[1, 16, 0, 1], [11, 16, 84944, 84915], [3, 28, 84932, 84299], [28352, 5, 51, 16], [21253, 16, 0, 1], [25877, 26, 29462, 84457], [13, 8, 8, 5], [84993, 16, 84992, 17], [1, 0, 16, 1], [74383, 16, 8, 129], [48581, 26, 24182, 84457], [77296, 5, 23235, 16]], 'adelic_image': '85008.96.3.?', 'conductor': 350658, 'lmfdb_label': '350658.v1', 'prime': 0}
  • id: 1213418
    {'conductor': 350658, 'elladic_image': '16.24.0.38', 'lmfdb_label': '350658.v1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 350658.v does not appear in ec_padic