Elliptic curve data - 282240.hm2

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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': '282240hm', 'Clabel': '282240hm1', 'Cnumber': 1, 'abc_quality': 1.2404847183915741, 'absD': 254121840000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 24, 'ainvs': [0, 0, 0, -1617, -6174], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 282240, 'degree': 184320, 'elladic_images': ['8.6.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.87931785274889613227501867711', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 194, 'isogeny_degrees': [1, 2], 'jinv': [1149984, 625], 'lmfdb_iso': '282240.hm', 'lmfdb_label': '282240.hm2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -1188, -3888], 'min_quad_twist_disc': 168, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.f.1', '12.6.0.b.1', '24.12.0.bl.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7513400588697758997548394434', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 147], [3, 6, 31360], [5, 6, 56448], [7, 26, 5760]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.77262614927242270695318774136', 'prec': 107}, 'szpiro_ratio': 2.691410818987112, '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, 1, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 4, 0], 'aplist': [0, 0, 1, 0, 0, -2, 0, 4, 0, 6, -2, 6, 4, -4, -8, -2, -4, -2, -8, -8, 6, -6, -4, 0, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 282240, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '282240.hm', 'trace_hash': 609559112261922956}
• 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': '0.17227974387124476794929862291', 'prec': 103}, 'conductor': 282240, 'gens': [[-38, 20, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.7513400588697758997548394434', 'prec': 100}], 'lmfdb_label': '282240.hm2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.80307090552508451042674912586', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.8380846099359610271697903485749147298', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[42, 0, 1]], 'xcoord_integral_points': [-38, 42]}
• lmfdb_label 282240.hm2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12011703
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '282240.hm2', 'torsion': [2, 2]}
  • id: 12011704
    {'degree': 4, 'field': [294, 0, -42, 0, 1], 'lmfdb_label': '282240.hm2', 'torsion': [4]}
  • id: 12011707
    {'degree': 8, 'field': [-4913, 5780, -4556, 500, 34, -100, -80, -4, 1], 'lmfdb_label': '282240.hm2', 'torsion': [6]}
  • id: 12011705
    {'degree': 8, 'field': [2809, -212, -2704, -380, 580, 92, -40, -4, 1], 'lmfdb_label': '282240.hm2', 'torsion': [2, 4]}
  • id: 12011706
    {'degree': 8, 'field': [9025, 0, 964, 0, -18, 0, 4, 0, 1], 'lmfdb_label': '282240.hm2', 'torsion': [2, 4]}
  • id: 12011708
    {'degree': 16, 'field': [-5879306, -1622880, 14850688, 2784544, -11279228, -344496, 3320344, -474432, -137522, 23624, -16904, 2536, 464, 280, -44, -8, 1], 'lmfdb_label': '282240.hm2', 'torsion': [8]}
  • id: 12011709
    {'degree': 16, 'field': [48260809, 0, 38415296, 0, 36697492, 0, 4609712, 0, -373250, 0, -54112, 0, 2788, 0, -16, 0, 1], 'lmfdb_label': '282240.hm2', '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: 6991172
    {'conductor': 282240, 'conductor_valuation': 7, 'discriminant_valuation': 7, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '282240.hm2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6991173
    {'conductor': 282240, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '282240.hm2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6991174
    {'conductor': 282240, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '282240.hm2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6991175
    {'conductor': 282240, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '282240.hm2', 'prime': 7, 'reduction_type': 0, '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: 3444318
    {'adelic_gens': [[1, 2, 2, 5], [21, 4, 20, 5], [2, 1, 11, 0], [3, 4, 8, 11], [20, 1, 7, 0], [4, 1, 17, 18], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '24.12.0.?', 'conductor': 282240, 'lmfdb_label': '282240.hm2', 'prime': 0}
  • id: 1003340
    {'conductor': 282240, 'elladic_image': '8.6.0.2', 'lmfdb_label': '282240.hm2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 282240.hm does not appear in ec_padic