Elliptic curve data - 7392.l1

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '7392c', 'Clabel': '7392c2', 'Cnumber': 2, 'abc_quality': 0.9575790895470713, 'absD': 79339696128, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, 1, 0, -7217, -238017], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7392, 'degree': 9216, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.98091628082900617279801918441', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4], 'jinv': [10150654719808, 19370043], 'lmfdb_iso': '7392.l', 'lmfdb_label': '7392.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -7217, 238017], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '12.24.0-12.h.1.1', '88.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 3], [3, 4, 2464], [7, 8, 1056], [11, 12, 672]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.28776910026906086338078706295', 'prec': 103}, 'szpiro_ratio': 4.295651731156201, '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, 2, 0, -1, 0, 1, 0, -1, 0, -2, 0, 2, 0, 6, 0, 0, 0], 'aplist': [0, 1, 2, -1, -1, -2, 6, 0, 8, 6, -4, -2, 6, -8, 8, 2, 4, -2, -12, 0, 10, 0, 4, -14, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 7392, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '7392.l', 'trace_hash': 1363942585541832277}
• 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': '0.14060052555640921137826861860', 'prec': 103}, 'conductor': 7392, 'gens': [], 'heights': [], 'lmfdb_label': '7392.l1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.51803028318490269811166410355', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1081816991094161886699846212920571713', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[-51, 0, 1]], 'xcoord_integral_points': [-51]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '7': [0, 0], '11': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '7392.l1'}
• ec_torsion_growth •

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

  
  
  • id: 388501
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '7392.l1', 'torsion': [2, 2]}
  • id: 388502
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '7392.l1', 'torsion': [4]}
  • id: 388503
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '7392.l1', 'torsion': [4]}
  • id: 388504
    {'degree': 4, 'field': [-147, 0, 0, 0, 1], 'lmfdb_label': '7392.l1', 'torsion': [2, 4]}
  • id: 388505
    {'degree': 4, 'field': [1, 0, -1, 0, 1], 'lmfdb_label': '7392.l1', 'torsion': [2, 4]}
  • id: 388509
    {'degree': 8, 'field': [-243, 0, -568, 0, -54, 0, 0, 0, 1], 'lmfdb_label': '7392.l1', 'torsion': [6]}
  • id: 388507
    {'degree': 8, 'field': [81, 0, -270, 0, 309, 0, -30, 0, 1], 'lmfdb_label': '7392.l1', 'torsion': [8]}
  • id: 388506
    {'degree': 8, 'field': [21609, 0, 0, 0, 147, 0, 0, 0, 1], 'lmfdb_label': '7392.l1', 'torsion': [4, 4]}
  • id: 388508
    {'degree': 8, 'field': [21609, 0, 0, 0, 4606, 0, 0, 0, 1], 'lmfdb_label': '7392.l1', 'torsion': [8]}
  • id: 388513
    {'degree': 16, 'field': [1, 0, -8, 0, 130, 0, 608, 0, -2329, 0, 608, 0, 130, 0, -8, 0, 1], 'lmfdb_label': '7392.l1', 'torsion': [2, 6]}
  • id: 388515
    {'degree': 16, 'field': [289, -1972, 6728, -4624, 1020, 2300, -2448, 2600, -902, -516, 712, -400, 188, -84, 32, -8, 1], 'lmfdb_label': '7392.l1', 'torsion': [12]}
  • id: 388514
    {'degree': 16, 'field': [59049, 0, -138024, 0, 309502, 0, -30672, 0, 3159, 0, -1136, 0, 54, 0, 0, 0, 1], 'lmfdb_label': '7392.l1', 'torsion': [12]}
  • id: 388510
    {'degree': 16, 'field': [8696601, 0, -2226744, 0, -2290176, 0, -3694824, 0, -795606, 0, -56280, 0, 1344, 0, -72, 0, 1], 'lmfdb_label': '7392.l1', 'torsion': [2, 8]}
  • id: 388511
    {'degree': 16, 'field': [31640625, 0, 0, 0, 641250, 0, 0, 0, 7371, 0, 0, 0, 114, 0, 0, 0, 1], 'lmfdb_label': '7392.l1', 'torsion': [2, 8]}
  • id: 388512
    {'degree': 16, 'field': [8117048241, 4724657244, -2017494612, -1227247860, 214676368, 93048176, -6834548, -1028508, -498975, 59104, 29832, -11404, 2526, -252, 76, -8, 1], 'lmfdb_label': '7392.l1', 'torsion': [2, 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: 152406
    {'conductor': 7392, 'conductor_valuation': 5, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '7392.l1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 152407
    {'conductor': 7392, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '7392.l1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 152408
    {'conductor': 7392, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '7392.l1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 152409
    {'conductor': 7392, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '7392.l1', 'prime': 11, '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: 1712950
    {'adelic_gens': [[107, 102, 170, 35], [96, 223, 239, 252], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [7, 6, 258, 259], [257, 8, 256, 9], [92, 1, 199, 6], [145, 8, 52, 33]], 'adelic_image': '264.48.0.?', 'conductor': 7392, 'lmfdb_label': '7392.l1', 'prime': 0}
  • id: 36481
    {'conductor': 7392, 'elladic_image': '4.12.0.8', 'lmfdb_label': '7392.l1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 7392.l does not appear in ec_padic