Elliptic curve data - 145350.ef1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '145350bg', 'Clabel': '145350bg2', 'Cnumber': 2, 'abc_quality': 0.9634954206070233, 'absD': 12287859191894531250, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2040, 'ainvs': [1, -1, 1, -14684855, 21662722397], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 145350, 'degree': 6881280, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7529931128700005952351073605', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 109, 'isogeny_degrees': [1, 2], 'jinv': [30745751866050712609, 1078769531250], 'lmfdb_iso': '145350.ef', 'lmfdb_label': '145350.ef1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -65266, -6444691], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.c.1', '136.6.0.?', '2040.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 3825], [3, 8, 16150], [5, 14, 5814], [17, 18, 8550], [19, 20, 7650]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3989680123188955622371050754', 'prec': 100}, 'szpiro_ratio': 5.141843979331655, '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, 2, 1, 0, 0, 4, 0, 0, 2, 0, 1, -1, 0, 1, 0], 'aplist': [1, 0, 0, 2, 4, 0, -1, 1, 4, -6, 8, -2, 0, 10, 0, 2, 10, 2, -2, -10, 4, 12, 16, 14, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 145350, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '145350.ef', 'trace_hash': 93593162659367156}
• 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': '0.0040623801807112709764908649452', 'prec': 110}, 'conductor': 145350, 'gens': [], 'heights': [], 'lmfdb_label': '145350.ef1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.21069658687136592058026619540', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.7422907798837094585685182528282942842', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[8811, -8815, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [7, 0], '3': 'a', '5': 'a', '17': [0, 0], '19': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '145350.ef1'}
• ec_torsion_growth •

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

  
  
  • id: 6556425
    {'degree': 2, 'field': [-34, 0, 1], 'lmfdb_label': '145350.ef1', 'torsion': [2, 2]}
  • id: 6556426
    {'degree': 4, 'field': [34, 0, 11, 0, 1], 'lmfdb_label': '145350.ef1', 'torsion': [4]}
  • id: 6556429
    {'degree': 8, 'field': [-912224, -34096, 30772, 6647, -3320, -7, 7, -4, 1], 'lmfdb_label': '145350.ef1', 'torsion': [6]}
  • id: 6556428
    {'degree': 8, 'field': [7816, -3600, 4348, -1556, 929, -184, 66, -4, 1], 'lmfdb_label': '145350.ef1', 'torsion': [2, 4]}
  • id: 6556427
    {'degree': 8, 'field': [16191799009, 0, -1223701636, 0, 7273122, 0, -5212, 0, 1], 'lmfdb_label': '145350.ef1', 'torsion': [2, 4]}
  • id: 6556431
    {'degree': 16, 'field': [1832438712976, 0, -538329083288, 0, 33217628788, 0, -921824456, 0, 44349940, 0, 289204, 0, -272, 0, -68, 0, 1], 'lmfdb_label': '145350.ef1', 'torsion': [2, 6]}
  • id: 6556430
    {'degree': 16, 'field': [78653130195600, 0, 6164723153700, 0, 152312323980, 0, 1446753105, 0, -21644579, 0, -1788002, 0, 39894, 0, -323, 0, 1], 'lmfdb_label': '145350.ef1', '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: 3593947
    {'conductor': 145350, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '145350.ef1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3593948
    {'conductor': 145350, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '145350.ef1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3593949
    {'conductor': 145350, 'conductor_valuation': 2, 'discriminant_valuation': 16, 'j_denominator_valuation': 10, 'kodaira_symbol': -14, 'lmfdb_label': '145350.ef1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3593950
    {'conductor': 145350, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '145350.ef1', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3593951
    {'conductor': 145350, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '145350.ef1', 'prime': 19, '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: 2608298
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [817, 4, 1634, 9], [2037, 4, 2036, 5], [482, 1, 1799, 0], [1361, 4, 682, 9], [257, 1786, 1784, 255], [2, 1, 1019, 0]], 'adelic_image': '2040.12.0.?', 'conductor': 145350, 'lmfdb_label': '145350.ef1', 'prime': 0}
  • id: 560024
    {'conductor': 145350, 'elladic_image': '2.3.0.1', 'lmfdb_label': '145350.ef1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 145350.ef does not appear in ec_padic