Elliptic curve data - 310464.m2

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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': '310464m', 'Clabel': '310464m1', 'Cnumber': 1, 'abc_quality': 0.8118894454035532, 'absD': 2677944895008768, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 616, 'ainvs': [0, 0, 0, 24108, 2030560], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 310464, 'degree': 1966080, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6452377975759881261257357927', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2], 'jinv': [4410944, 7623], 'lmfdb_iso': '310464.m', 'lmfdb_label': '310464.m2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 14, -32], 'min_quad_twist_disc': -168, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '14.6.0.b.1', '88.6.0.?', '616.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1826146478014817506550016376', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 8, 34496], [7, 32, 6336], [11, 12, 28224]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.57017060184566868154179531894', 'prec': 107}, 'szpiro_ratio': 3.3663913458241037, '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, -4, 0, 0, 0, 0, 0, -1, 0, 6, 0, 0, 0, 0, 0, 2, 0], 'aplist': [0, 0, -4, 0, -1, 6, 0, 2, 4, -2, -2, -2, 0, -4, -6, 2, 0, 14, -12, 8, 4, -8, 2, -14, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 310464, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '310464.m', 'trace_hash': 66191310458088563}
• 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': '0.037236135858620703209772167489', 'prec': 107}, 'conductor': 310464, 'gens': [[84, 2156, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1826146478014817506550016376', 'prec': 100}], 'lmfdb_label': '310464.m2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.31166127234138272870521712115', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.8972029731738563418744605338447319190', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-70, 0, 1]], 'xcoord_integral_points': [-70, 84, 182, 3098]}
• lmfdb_label 310464.m2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 13096139
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '310464.m2', 'torsion': [2, 2]}
  • id: 13096140
    {'degree': 4, 'field': [-194, -132, -26, 0, 1], 'lmfdb_label': '310464.m2', 'torsion': [4]}
  • id: 13096141
    {'degree': 8, 'field': [898, -432, -152, -16, 71, 22, -3, -2, 1], 'lmfdb_label': '310464.m2', 'torsion': [2, 4]}
  • id: 13096142
    {'degree': 8, 'field': [101761, 0, 1122, 0, 26, 0, 18, 0, 1], 'lmfdb_label': '310464.m2', 'torsion': [2, 4]}
  • id: 13096143
    {'degree': 8, 'field': [4335941, 912252, -209438, -36268, -2208, -632, 50, 0, 1], 'lmfdb_label': '310464.m2', 'torsion': [6]}
  • id: 13096144
    {'degree': 16, 'field': [12603654756, 0, 16004640960, 0, -4746093264, 0, -39988080, 0, 5938596, 0, -250560, 0, 6984, 0, -120, 0, 1], 'lmfdb_label': '310464.m2', 'torsion': [8]}
  • id: 13096145
    {'degree': 16, 'field': [43355030336, -6169729536, 5918600704, 477707648, -174637328, -85159264, 42321432, -12834160, 4361849, -833384, 232580, -37736, 7806, -728, 124, -8, 1], 'lmfdb_label': '310464.m2', '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: 7687679
    {'conductor': 310464, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '310464.m2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 7687680
    {'conductor': 310464, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '310464.m2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7687681
    {'conductor': 310464, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '310464.m2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7687682
    {'conductor': 310464, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '310464.m2', '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: 3613604
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [613, 4, 612, 5], [90, 1, 263, 0], [1, 2, 2, 5], [1, 4, 0, 1], [309, 4, 2, 9], [57, 4, 114, 9], [81, 540, 384, 231]], 'adelic_image': '616.12.0.?', 'conductor': 310464, 'lmfdb_label': '310464.m2', 'prime': 0}
  • id: 1090330
    {'conductor': 310464, 'elladic_image': '2.3.0.1', 'lmfdb_label': '310464.m2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 310464.m does not appear in ec_padic