Elliptic curve data - 92400.n1

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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': '92400bg', 'Clabel': '92400bg2', 'Cnumber': 2, 'abc_quality': 0.9122398063531144, 'absD': 17563392000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3080, 'ainvs': [0, -1, 0, -1328, 17952], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 92400, 'degree': 73728, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.71442556171264353273837575649', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [1012523146, 68607], 'lmfdb_iso': '92400.n', 'lmfdb_label': '92400.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1328, -17952], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '220.6.0.?', '280.6.0.?', '616.6.0.?', '3080.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 21, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.98291191598270900357871406072', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.32331883190916476121094352149', 'prec': 107}, 'szpiro_ratio': 2.902657486983099, '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, 0, 0, -1, 0, 1, 0, -1, 0, 2, 0, 0, 0, -6, 0, 2, 0], 'aplist': [0, -1, 0, -1, -1, 2, -6, 2, -8, -8, 0, -6, 8, -8, -6, -10, 0, 10, -2, -8, 6, -6, 4, -14, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 92400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '92400.n', 'trace_hash': 1415780306651365836}
• 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': '0.23958401665314307827279150700', 'prec': 103}, 'conductor': 92400, 'gens': [[28, 44, 1], [12, 60, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.88276674597781993649108534507', 'prec': 103}, {'__RealLiteral__': 0, 'data': '1.2721577261296995343561703080', 'prec': 100}], 'lmfdb_label': '92400.n1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '1.2066974598188531545570052520', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.4886184979361357248717403203091038146', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[17, 0, 1]], 'xcoord_integral_points': [-38, -28, 12, 17, 26, 28, 53, 66, 116, 273, 908]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '7': [2, 0], '11': [2, 0], '13': [2, 0], '17': [2, 0], '19': [4, 0], '23': [2, 0], '29': [2, 0], '31': [2, 2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '92400.n1'}
• ec_torsion_growth •

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

  
  
  • id: 4310406
    {'degree': 2, 'field': [-70, 0, 1], 'lmfdb_label': '92400.n1', 'torsion': [2, 2]}
  • id: 4310407
    {'degree': 4, 'field': [56, -21, 1, -1, 1], 'lmfdb_label': '92400.n1', 'torsion': [4]}
  • id: 4310410
    {'degree': 8, 'field': [-138675, 0, 127000, 0, 1290, 0, 0, 0, 1], 'lmfdb_label': '92400.n1', 'torsion': [6]}
  • id: 4310409
    {'degree': 8, 'field': [108900, 0, 25300, 0, 885, 0, 30, 0, 1], 'lmfdb_label': '92400.n1', 'torsion': [2, 4]}
  • id: 4310408
    {'degree': 8, 'field': [509796, 0, -17248, 0, -2156, 0, -112, 0, 1], 'lmfdb_label': '92400.n1', 'torsion': [2, 4]}
  • id: 4310411
    {'degree': 16, 'field': [1727894056, -506860704, 4774153202, -1111775504, 670729983, -147792624, 29846586, -13297172, 2401623, -728544, 155374, -15240, 5633, -368, 118, -4, 1], 'lmfdb_label': '92400.n1', 'torsion': [8]}
  • id: 4310412
    {'degree': 16, 'field': [2284196958736, 0, -1680609996800, 0, -10355180192, 0, -3151456560, 0, -98961576, 0, 468720, 0, 11452, 0, -140, 0, 1], 'lmfdb_label': '92400.n1', '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: 2260829
    {'conductor': 92400, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '92400.n1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2260830
    {'conductor': 92400, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '92400.n1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2260831
    {'conductor': 92400, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '92400.n1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2260832
    {'conductor': 92400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '92400.n1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2260833
    {'conductor': 92400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '92400.n1', '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: 2272392
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [2468, 1, 2463, 0], [3077, 4, 3076, 5], [1, 4, 0, 1], [1322, 1, 879, 0], [2521, 4, 1962, 9], [1156, 1929, 385, 2696], [2, 1, 1539, 0]], 'adelic_image': '3080.12.0.?', 'conductor': 92400, 'lmfdb_label': '92400.n1', 'prime': 0}
  • id: 374409
    {'conductor': 92400, 'elladic_image': '2.3.0.1', 'lmfdb_label': '92400.n1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 4791602
    {'lmfdb_iso': '92400.n', 'p': 13, 'prec': 20, 'unit': 2506707081883047057, 'val': 2}
  • id: 4791604
    {'lmfdb_iso': '92400.n', 'p': 17, 'prec': 20, 'unit': 141607193840266201398233, 'val': 2}
  • id: 4791605
    {'lmfdb_iso': '92400.n', 'p': 19, 'prec': 20, 'unit': 88686645830935117759977, 'val': 3}
  • id: 4791608
    {'lmfdb_iso': '92400.n', 'p': 23, 'prec': 20, 'unit': 61263804127995776502915005, 'val': 2}
  • id: 4791601
    {'lmfdb_iso': '92400.n', 'p': 29, 'prec': 20, 'unit': 4198773973422557458393398527, 'val': 2}
  • id: 4791597
    {'lmfdb_iso': '92400.n', 'p': 37, 'prec': 20, 'unit': 250691000279777323154506525286, 'val': 2}
  • id: 4791599
    {'lmfdb_iso': '92400.n', 'p': 41, 'prec': 20, 'unit': 3913779929565818623699875071251, 'val': 2}
  • id: 4791600
    {'lmfdb_iso': '92400.n', 'p': 43, 'prec': 20, 'unit': 2214603555682482792686104223062, 'val': 2}
  • id: 4791603
    {'lmfdb_iso': '92400.n', 'p': 47, 'prec': 20, 'unit': 30010645568389335802895411731382, 'val': 2}
  • id: 4791606
    {'lmfdb_iso': '92400.n', 'p': 53, 'prec': 20, 'unit': 322921032339857301598228874242745, 'val': 2}
  • id: 4791611
    {'lmfdb_iso': '92400.n', 'p': 61, 'prec': 20, 'unit': 2378602559373366963648804084917264, 'val': 2}
  • id: 4791596
    {'lmfdb_iso': '92400.n', 'p': 67, 'prec': 20, 'unit': 19568984536776841811129721400142404, 'val': 2}
  • id: 4791598
    {'lmfdb_iso': '92400.n', 'p': 71, 'prec': 20, 'unit': 97781552413832849578151376171658240, 'val': 2}
  • id: 4791607
    {'lmfdb_iso': '92400.n', 'p': 73, 'prec': 20, 'unit': 49928251232606978280865274525532256, 'val': 2}
  • id: 4791610
    {'lmfdb_iso': '92400.n', 'p': 79, 'prec': 20, 'unit': 328036102848649736439700538577655418, 'val': 2}
  • id: 4791595
    {'lmfdb_iso': '92400.n', 'p': 83, 'prec': 20, 'unit': 2877857851759589737051962540643429391, 'val': 2}
  • id: 4791609
    {'lmfdb_iso': '92400.n', 'p': 89, 'prec': 20, 'unit': 8676511352323431002920283183872824102, 'val': 2}
  • id: 4791594
    {'lmfdb_iso': '92400.n', 'p': 97, 'prec': 20, 'unit': 39889097129281504672444235775775328548, 'val': 2}