Elliptic curve data - 379470.cd2

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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': '379470cd', 'Clabel': '379470cd1', 'Cnumber': 1, 'abc_quality': 0.9398274963160045, 'absD': 32545669935870000000, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 1517880, 'ainvs': [1, 0, 0, -2323915, 1390730225], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13, 139], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 379470, 'degree': 12600448, 'elladic_images': ['7.48.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5308506152708678525995390195', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 55, 'isogeny_degrees': [1, 7], 'jinv': [-1387983940820036464710961, 32545669935870000000], 'lmfdb_iso': '379470.cd', 'lmfdb_label': '379470.cd2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2323915, 1390730225], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.1'], 'modm_images': ['7.48.0-7.a.1.2', '1517880.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 6, 'num_int_pts': 18, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7404340457977453703620836573', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5308506152708678525995390195', 'prec': 100}, 'szpiro_ratio': 4.330321887545045, 'torsion': 7, 'torsion_primes': [7], 'torsion_structure': [7]}
• 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, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, -1, 1, 1, 1, -3, 1, -1, 1], 'aplist': [1, 1, 1, 1, -2, -1, -3, -1, -4, 2, -3, 10, 0, 2, -8, 5, 4, -8, -2, -5, 11, 17, -14, 6, -14], 'class_deg': 7, 'class_size': 2, 'conductor': 379470, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '379470.cd', 'trace_hash': 1917321540516492844}
• 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': '0.0063347734306690268924920849025', 'prec': 110}, 'conductor': 379470, 'gens': [[1010, 8105, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.7404340457977453703620836573', 'prec': 100}], 'lmfdb_label': '379470.cd2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.20751462818022581256228365426', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '17.697110670410336460334202415118297774', 'prec': 130}, 'tamagawa_product': 2401, 'torsion_generators': [[800, 6215, 1]], 'xcoord_integral_points': [-1720, -670, 310, 530, 800, 1010, 1430, 3446, 6680]}
• lmfdb_label 379470.cd2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15721855
    {'degree': 3, 'field': [-234, -26, -1, 1], 'lmfdb_label': '379470.cd2', 'torsion': [14]}
  • id: 15721856
    {'degree': 6, 'field': [1517880, 0, 6241, 0, -158, 0, 1], 'lmfdb_label': '379470.cd2', 'torsion': [2, 14]}
  • id: 15721857
    {'degree': 8, 'field': [-335216, 112064, -113984, 3839, -1916, -7, 7, -4, 1], 'lmfdb_label': '379470.cd2', 'torsion': [21]}
  • id: 15721858
    {'degree': 12, 'field': [-91470396214886400, 13603811301089280, -266695921542144, -31671355229184, -4364238074864, -91693599800, -1649794574, 3727540, -4205762, -203252, -3875, -2, 1], 'lmfdb_label': '379470.cd2', 'torsion': [28]}
• 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: 9389677
    {'conductor': 379470, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '379470.cd2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 9389678
    {'conductor': 379470, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '379470.cd2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 9389679
    {'conductor': 379470, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '379470.cd2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 9389680
    {'conductor': 379470, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '379470.cd2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 9389681
    {'conductor': 379470, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '379470.cd2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9389682
    {'conductor': 379470, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '379470.cd2', 'prime': 139, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 4023637
    {'adelic_gens': [[505961, 14, 505967, 99], [233521, 14, 116767, 99], [1138411, 758954, 379477, 813249], [379471, 14, 0, 1], [447721, 14, 98287, 99], [758941, 14, 758947, 99], [1, 0, 14, 1], [1, 14, 0, 1], [1517867, 14, 1517866, 15], [8, 5, 91, 57], [303577, 14, 607159, 99]], 'adelic_image': '1517880.96.2.?', 'conductor': 379470, 'lmfdb_label': '379470.cd2', 'prime': 0}
  • id: 1299097
    {'conductor': 379470, 'elladic_image': '7.48.0.1', 'lmfdb_label': '379470.cd2', 'modell_image': '7B.1.1', 'prime': 7}
• lmfdb_iso 379470.cd does not appear in ec_padic