Elliptic curve data - 162240.dm1

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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': '162240cx', 'Clabel': '162240cx2', 'Cnumber': 2, 'abc_quality': 0.9699167075746302, 'absD': 789185877513486336000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1560, 'ainvs': [0, -1, 0, -2893505, 1328422497], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 162240, 'degree': 5160960, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7155840349113804249657628255', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 90, 'isogeny_degrees': [1, 2], 'jinv': [4234737878642, 1247410125], 'lmfdb_iso': '162240.dm', 'lmfdb_label': '162240.dm1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -4280, -74100], 'min_quad_twist_disc': -104, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.b.1', '156.6.0.?', '1560.12.0.?'], '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': '3.6532104871528297717352759078', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.45115085038735620193127359932', 'prec': 103}, 'szpiro_ratio': 4.688532836437629, '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, 1, 0, 2, 0, 1, 0, -4, 0, 0, 0, -1, 0, 0, 0, -2, 0], 'aplist': [0, -1, 1, 2, -4, 0, 0, -2, 2, -4, 4, -2, 6, -4, 8, 2, -4, 2, -8, 8, 4, -8, -12, -6, -4], 'class_deg': 2, 'class_size': 2, 'conductor': 162240, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '162240.dm', 'trace_hash': 232123702751941348}
• 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': '0.0043779790296872338367852679672', 'prec': 110}, 'conductor': 162240, 'gens': [[3207, 158184, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.6532104871528297717352759078', 'prec': 100}], 'lmfdb_label': '162240.dm1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.14793392908410328616830514812', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.4852053736292296636204849570494202168', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[503, 0, 1]], 'xcoord_integral_points': [503, 3207]}
• lmfdb_label 162240.dm1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7247860
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '162240.dm1', 'torsion': [2, 2]}
  • id: 7247861
    {'degree': 4, 'field': [1, 1, 8, -1, 1], 'lmfdb_label': '162240.dm1', 'torsion': [4]}
  • id: 7247864
    {'degree': 8, 'field': [-8112, 0, 832, 0, -312, 0, 0, 0, 1], 'lmfdb_label': '162240.dm1', 'torsion': [6]}
  • id: 7247862
    {'degree': 8, 'field': [1660, -2640, 1756, -892, 389, -86, 39, -2, 1], 'lmfdb_label': '162240.dm1', 'torsion': [2, 4]}
  • id: 7247863
    {'degree': 8, 'field': [60696, 134400, -39104, -2640, 1956, -160, -84, 0, 1], 'lmfdb_label': '162240.dm1', 'torsion': [2, 4]}
  • id: 7247866
    {'degree': 16, 'field': [6724, 0, -30752, 0, 16252, 0, -33552, 0, 8040, 0, -1044, 0, 136, 0, -20, 0, 1], 'lmfdb_label': '162240.dm1', 'torsion': [2, 6]}
  • id: 7247865
    {'degree': 16, 'field': [215252950, -341845500, 291419550, -177382800, 93612265, -40369140, 12395370, -2523000, 461337, -95724, 1446, 6072, -713, -84, -6, 0, 1], 'lmfdb_label': '162240.dm1', '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: 4013848
    {'conductor': 162240, 'conductor_valuation': 6, 'discriminant_valuation': 17, 'j_denominator_valuation': 0, 'kodaira_symbol': -11, 'lmfdb_label': '162240.dm1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4013849
    {'conductor': 162240, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '162240.dm1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4013850
    {'conductor': 162240, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '162240.dm1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 4013851
    {'conductor': 162240, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '162240.dm1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2712821
    {'adelic_gens': [[521, 4, 1042, 9], [314, 1, 623, 0], [1, 2, 2, 5], [2, 1, 779, 0], [1, 4, 0, 1], [1081, 4, 602, 9], [1557, 4, 1556, 5], [977, 586, 584, 975], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '1560.12.0.?', 'conductor': 162240, 'lmfdb_label': '162240.dm1', 'prime': 0}
  • id: 616872
    {'conductor': 162240, 'elladic_image': '2.3.0.1', 'lmfdb_label': '162240.dm1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 162240.dm does not appear in ec_padic