Elliptic curve data - 37570.c4

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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': '37570a', 'Clabel': '37570a1', 'Cnumber': 1, 'abc_quality': 0.9362032195135598, 'absD': 4334202233562500, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 5304, 'ainvs': [1, 1, 0, -1601788, 779615868], 'analytic_rank': 0, 'bad_primes': [2, 5, 13, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 37570, 'degree': 663552, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1624944732618457077618960373', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [18829800329506921, 179562500], 'lmfdb_iso': '37570.c', 'lmfdb_label': '37570.c4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -5543, 158358], 'min_quad_twist_disc': 17, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0-6.a.1.1', '34.6.0.a.1', '51.8.0-3.a.1.2', '102.48.0.?', '104.6.0.?', '312.48.0.?', '1768.12.0.?', '5304.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.74588780123373766763712872836', 'prec': 103}, 'szpiro_ratio': 5.171226329909935, '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, 2, 1, -1, -2, -2, -1, 1, 1, 0, 2, 1, 2, -2, 1, 0, -1, -4, -1], 'aplist': [-1, 2, -1, -2, 0, 1, 0, -4, 0, 0, 10, 10, 0, 8, 0, 6, -12, -8, -4, -6, -8, 4, 12, 6, -8], 'class_deg': 6, 'class_size': 4, 'conductor': 37570, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '37570.c', 'trace_hash': 1060777912071963970}
• 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': '0.013233696374081837922795840100', 'prec': 107}, 'conductor': 37570, 'gens': [], 'heights': [], 'lmfdb_label': '37570.c4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.39445062509877528562317298984', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5778025003951011424926919593584826295', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[732, -366, 1]], 'xcoord_integral_points': [732]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': [0, 0], '5': [0, 0], '13': [1, 0], '17': 'a'}, 'iwp0': 5, 'lmfdb_label': '37570.c4'}
• ec_torsion_growth •

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

  
  
  • id: 1859542
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '37570.c4', 'torsion': [2, 6]}
  • id: 1859543
    {'degree': 4, 'field': [23, 14, -13, -2, 1], 'lmfdb_label': '37570.c4', 'torsion': [4]}
  • id: 1859544
    {'degree': 6, 'field': [463, 139, -134, -11, 8, -3, 1], 'lmfdb_label': '37570.c4', 'torsion': [6]}
  • id: 1859545
    {'degree': 8, 'field': [-25, 200, 52, -460, 121, 128, -38, -4, 1], 'lmfdb_label': '37570.c4', 'torsion': [2, 12]}
  • id: 1859546
    {'degree': 8, 'field': [424, 1228, 1227, 402, -66, -80, 12, -2, 1], 'lmfdb_label': '37570.c4', 'torsion': [2, 12]}
  • id: 1859547
    {'degree': 12, 'field': [214369, 64357, 81363, -8440, 15781, -2139, 2536, -753, 165, -2, 1, -3, 1], 'lmfdb_label': '37570.c4', 'torsion': [6, 6]}
  • id: 1859548
    {'degree': 16, 'field': [-1016324, -2834192, -7901448, -22721296, -28723582, -4106680, 19228188, 12493592, -210655, -1527268, 11454, 79176, -3987, 184, -134, -4, 1], 'lmfdb_label': '37570.c4', 'torsion': [8]}
  • id: 1859549
    {'degree': 18, 'field': [6329984212, 12221840256, 7167345204, -6357820474, -1405341582, -113533632, -348112781, -59394429, 12767352, 3131758, 452973, 140559, -34434, -10293, 2793, 266, -102, -3, 1], 'lmfdb_label': '37570.c4', 'torsion': [2, 18]}
• 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: 887354
    {'conductor': 37570, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '37570.c4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 887355
    {'conductor': 37570, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '37570.c4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 887356
    {'conductor': 37570, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '37570.c4', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 887357
    {'conductor': 37570, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '37570.c4', 'prime': 17, '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: 1915203
    {'adelic_gens': [[11, 2, 5254, 5295], [2883, 3760, 2846, 3749], [5293, 12, 5292, 13], [1, 0, 12, 1], [2486, 5301, 2835, 8], [3265, 12, 3678, 73], [2653, 12, 6, 73], [1, 6, 6, 37], [1, 12, 0, 1], [3545, 2, 942, 13]], 'adelic_image': '5304.96.1.?', 'conductor': 37570, 'lmfdb_label': '37570.c4', 'prime': 0}
  • id: 166172
    {'conductor': 37570, 'elladic_image': '2.3.0.1', 'lmfdb_label': '37570.c4', 'modell_image': '2B', 'prime': 2}
  • id: 166173
    {'conductor': 37570, 'elladic_image': '3.4.0.1', 'lmfdb_label': '37570.c4', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 37570.c does not appear in ec_padic