Elliptic curve data - 364650.ed4

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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': '364650ed', 'Clabel': '364650ed4', 'Cnumber': 4, 'abc_quality': 0.9197401351414516, 'absD': 3861210384683437500, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 22440, 'ainvs': [1, 1, 1, 364787, 41944031], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 364650, 'degree': 5898240, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2548464753241720876120260656', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 107, 'isogeny_degrees': [1, 2, 4], 'jinv': [343575091109876471, 247117464619740], 'lmfdb_iso': '364650.ed', 'lmfdb_label': '364650.ed4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 14591, 335552], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '120.24.0.?', '1870.6.0.?', '3740.24.0.?', '4488.24.0.?', '22440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2780327988797831389252449386', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4501275191071219003116463990', 'prec': 100}, 'szpiro_ratio': 3.906926519943177, '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, 0, -1, 0, 1, 1, 0, 1, -1, 1, 0, 0, 1, 1, 1, 0, 0], 'aplist': [1, -1, 0, 0, 1, 1, 1, 0, 0, -2, 4, -2, 2, 4, -12, 6, 12, -2, -4, -8, -10, 8, -4, -6, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 364650, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '364650.ed', 'trace_hash': 715534025108217752}
• 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': '0.011001837764389728754807105298', 'prec': 107}, 'conductor': 364650, 'gens': [[-69, 4090, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.2780327988797831389252449386', 'prec': 100}], 'lmfdb_label': '364650.ed4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.15767939593418078876599542797', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.494362740659691519016243547070875555', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-445, 441, 2]], 'xcoord_integral_points': [-69, 9395]}
• lmfdb_label 364650.ed4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15160367
    {'degree': 2, 'field': [-935, 0, 1], 'lmfdb_label': '364650.ed4', 'torsion': [4]}
  • id: 15160368
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '364650.ed4', 'torsion': [4]}
  • id: 15160366
    {'degree': 2, 'field': [234, -1, 1], 'lmfdb_label': '364650.ed4', 'torsion': [2, 2]}
  • id: 15160370
    {'degree': 4, 'field': [54756, 0, -467, 0, 1], 'lmfdb_label': '364650.ed4', 'torsion': [2, 4]}
  • id: 15160369
    {'degree': 4, 'field': [93500, 0, 0, 0, 1], 'lmfdb_label': '364650.ed4', 'torsion': [2, 4]}
  • id: 15160374
    {'degree': 8, 'field': [-300000000, 0, 17350000, 0, -60000, 0, 0, 0, 1], 'lmfdb_label': '364650.ed4', 'torsion': [6]}
  • id: 15160373
    {'degree': 8, 'field': [2916, 0, 2376, 0, 181, 0, -34, 0, 1], 'lmfdb_label': '364650.ed4', 'torsion': [8]}
  • id: 15160371
    {'degree': 8, 'field': [546343876, 0, 280504, 0, -46744, 0, 4, 0, 1], 'lmfdb_label': '364650.ed4', 'torsion': [4, 4]}
  • id: 15160372
    {'degree': 8, 'field': [1222830961, 0, 0, 0, -253198, 0, 0, 0, 1], 'lmfdb_label': '364650.ed4', 'torsion': [8]}
  • id: 15160376
    {'degree': 16, 'field': [8869118976, -291568896, 4792608, 569883888, -273185564, -21341616, 19158120, -10289236, 2507489, 77108, -49240, 18332, -2934, -84, 32, -8, 1], 'lmfdb_label': '364650.ed4', 'torsion': [2, 8]}
  • id: 15160380
    {'degree': 16, 'field': [351562500000000, 0, 0, 0, 4140976562500, 0, 0, 0, 187500000, 0, 0, 0, 30000, 0, 0, 0, 1], 'lmfdb_label': '364650.ed4', 'torsion': [12]}
  • id: 15160375
    {'degree': 16, 'field': [2331823657881600, 0, -8108514201600, 0, 11942699616000, 0, 3473539200, 0, 1779593220, 0, 6103600, 0, 11860, 0, 280, 0, 1], 'lmfdb_label': '364650.ed4', 'torsion': [2, 8]}
  • id: 15160378
    {'degree': 16, 'field': [130792410177960960, -2235767695349760, 4481089953500160, 62701818379200, 36493121808000, 2666946831120, -158626270296, 9695336976, -3161228170, -160168700, 25805432, -331111, 57568, -1645, 475, -4, 1], 'lmfdb_label': '364650.ed4', 'torsion': [2, 6]}
  • id: 15160377
    {'degree': 16, 'field': [166327116067883296, -96513231039936, 92831330259424, 7448151016224, -3934101278046, 249656824676, -79261913902, -3392096508, 848398921, -136020, -86162, 61212, -9656, -280, 60, -8, 1], 'lmfdb_label': '364650.ed4', 'torsion': [2, 8]}
  • id: 15160379
    {'degree': 16, 'field': [424780958881937284, 0, 97043737576658312, 0, 3080078201403940, 0, -353577922623651, 0, 908604772350, 0, -799536639, 0, 1136773, 0, -1870, 0, 1], 'lmfdb_label': '364650.ed4', 'torsion': [12]}
• 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: 9023037
    {'conductor': 364650, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '364650.ed4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9023038
    {'conductor': 364650, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '364650.ed4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9023039
    {'conductor': 364650, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '364650.ed4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 9023040
    {'conductor': 364650, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '364650.ed4', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 9023041
    {'conductor': 364650, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '364650.ed4', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 9023042
    {'conductor': 364650, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '364650.ed4', 'prime': 17, 'reduction_type': 1, '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

  
  
  • id: 3935339
    {'adelic_gens': [[22433, 8, 22432, 9], [8419, 8418, 2818, 14035], [1, 0, 8, 1], [1, 8, 0, 1], [8972, 22439, 17929, 22434], [1, 4, 4, 17], [7481, 8, 7484, 33], [19643, 19636, 19682, 8421], [7, 6, 22434, 22435], [3968, 3, 5285, 2], [12248, 3, 2045, 2]], 'adelic_image': '22440.48.0.?', 'conductor': 364650, 'lmfdb_label': '364650.ed4', 'prime': 0}
  • id: 1254751
    {'conductor': 364650, 'elladic_image': '4.12.0.8', 'lmfdb_label': '364650.ed4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 364650.ed does not appear in ec_padic