Elliptic curve data - 145728.ej1

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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': '145728bt', 'Clabel': '145728bt2', 'Cnumber': 2, 'abc_quality': 0.8438084338198321, 'absD': 20642023784448, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3036, 'ainvs': [0, 0, 0, -8220, 185744], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 145728, 'degree': 294912, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2572984162781771200933806400', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 113, 'isogeny_degrees': [1, 2], 'jinv': [5142706000, 1728243], 'lmfdb_iso': '145728.ej', 'lmfdb_label': '145728.ej1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -228, 936], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.a.1', '1012.6.0.?', '3036.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.1059823369914164681949673831', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.10067943870914725325767945350', 'prec': 107}, 'szpiro_ratio': 3.2513216506174127, '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, 0, 0, 0, 0, 4, 0, 0, 0, -1, 0, -6, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, 0, 0, 4, -1, -6, 2, 0, -1, 0, 4, -2, -4, 4, 0, 8, -4, -2, 10, -16, -10, 16, 12, 4, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 145728, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '145728.ej', 'trace_hash': 2161585693904308568}
• 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': '0.080895520073077179702789045684', 'prec': 107}, 'conductor': 145728, 'gens': [[-100, 88, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.1059823369914164681949673831', 'prec': 100}], 'lmfdb_label': '145728.ej1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.62833070329792421535503227117', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.8063362649309878603259126928236854050', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[76, 0, 1]], 'xcoord_integral_points': [-100, 76]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 1, 0], '7': [1, 0], '11': [3, 0], '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '145728.ej1'}
• ec_torsion_growth •

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

  
  
  • id: 6573403
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '145728.ej1', 'torsion': [2, 2]}
  • id: 6573404
    {'degree': 4, 'field': [108, 0, -38, 0, 1], 'lmfdb_label': '145728.ej1', 'torsion': [4]}
  • id: 6573407
    {'degree': 8, 'field': [-2700, 0, -2214, 0, -540, 0, -2, 0, 1], 'lmfdb_label': '145728.ej1', 'torsion': [6]}
  • id: 6573406
    {'degree': 8, 'field': [729, 0, -2052, 0, 739, 0, -76, 0, 1], 'lmfdb_label': '145728.ej1', 'torsion': [2, 4]}
  • id: 6573405
    {'degree': 8, 'field': [62232, 6384, 23544, -864, 2272, -160, 84, -4, 1], 'lmfdb_label': '145728.ej1', 'torsion': [2, 4]}
  • id: 6573409
    {'degree': 16, 'field': [729, 0, -8208, 0, 12580, 0, -5472, 0, -4914, 0, 3952, 0, -252, 0, 0, 0, 1], 'lmfdb_label': '145728.ej1', 'torsion': [2, 6]}
  • id: 6573408
    {'degree': 16, 'field': [168386301801, 0, -130462724148, 0, 19035379966, 0, -1322720428, 0, 54889355, 0, -1453132, 0, 24050, 0, -232, 0, 1], 'lmfdb_label': '145728.ej1', 'torsion': [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: 3604337
    {'conductor': 145728, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '145728.ej1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3604338
    {'conductor': 145728, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '145728.ej1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3604339
    {'conductor': 145728, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '145728.ej1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3604340
    {'conductor': 145728, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '145728.ej1', '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: 2610837
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [2026, 1, 2023, 0], [1, 2, 2, 5], [760, 2281, 2277, 760], [1, 4, 0, 1], [277, 4, 554, 9], [925, 4, 1850, 9], [3033, 4, 3032, 5]], 'adelic_image': '3036.12.0.?', 'conductor': 145728, 'lmfdb_label': '145728.ej1', 'prime': 0}
  • id: 561410
    {'conductor': 145728, 'elladic_image': '2.3.0.1', 'lmfdb_label': '145728.ej1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 145728.ej does not appear in ec_padic