Elliptic curve data - 33600.he1

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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': '33600gt', 'Clabel': '33600gt6', 'Cnumber': 6, 'abc_quality': 1.0369284989490737, 'absD': 12902400000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, 1, 0, -26880033, 53631540063], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 33600, 'degree': 1179648, 'elladic_images': ['16.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5811971565311001048876548968', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 186, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [524388516989299201, 3150], 'lmfdb_iso': '33600.he', 'lmfdb_label': '33600.he1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -16800, -845133], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.e.1', '24.24.0-8.n.1.7', '40.24.0-8.n.1.6', '48.48.0-16.e.1.9', '56.24.0.bh.1', '80.48.0.?', '112.48.0.?', '120.48.0.?', '140.12.0.?', '168.48.0.?', '240.96.0.?', '280.48.0.?', '336.96.0.?', '560.96.0.?', '840.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73675742947413195346142704800', 'prec': 103}, 'szpiro_ratio': 6.03843668049366, '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, 0, 0, 1, 0, 1, 0, 4, 0, -2, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 1, 0, 1, 4, -2, -2, -4, -8, -6, 8, -2, 2, 12, -8, 6, 4, 2, -12, -8, 14, 0, -12, 2, -10], 'class_deg': 8, 'class_size': 6, 'conductor': 33600, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 8, 4, 8], [8, 4, 8, 1, 2, 4], [4, 2, 4, 2, 1, 2], [8, 4, 8, 4, 2, 1]], 'lmfdb_iso': '33600.he', 'trace_hash': 1553119229349692945}
• 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': '0.0057279687037918982118867951685', 'prec': 110}, 'conductor': 33600, 'gens': [], 'heights': [], 'lmfdb_label': '33600.he1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.34555606814770570890782099751', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7644485451816456712625679800729909798', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[2993, 0, 1]], 'xcoord_integral_points': [2993]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': 'a', '7': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '33600.he1'}
• ec_torsion_growth •

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

  
  
  • id: 1672687
    {'degree': 2, 'field': [-35, 0, 1], 'lmfdb_label': '33600.he1', 'torsion': [4]}
  • id: 1672685
    {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '33600.he1', 'torsion': [2, 2]}
  • id: 1672686
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '33600.he1', 'torsion': [4]}
  • id: 1672688
    {'degree': 4, 'field': [1, 0, -12, 0, 1], 'lmfdb_label': '33600.he1', 'torsion': [2, 4]}
  • id: 1672689
    {'degree': 4, 'field': [1, 0, -8, 0, 1], 'lmfdb_label': '33600.he1', 'torsion': [8]}
  • id: 1672690
    {'degree': 4, 'field': [15, 30, -29, -2, 1], 'lmfdb_label': '33600.he1', 'torsion': [8]}
  • id: 1672695
    {'degree': 8, 'field': [-1200, 0, 6560, 0, 120, 0, 0, 0, 1], 'lmfdb_label': '33600.he1', 'torsion': [6]}
  • id: 1672693
    {'degree': 8, 'field': [9, 612, -324, -540, 181, 104, -30, -4, 1], 'lmfdb_label': '33600.he1', 'torsion': [2, 8]}
  • id: 1672694
    {'degree': 8, 'field': [265, 500, -1460, -580, 496, 116, -44, -4, 1], 'lmfdb_label': '33600.he1', 'torsion': [16]}
  • id: 1672692
    {'degree': 8, 'field': [2401, 0, -1372, 0, 644, 0, -28, 0, 1], 'lmfdb_label': '33600.he1', 'torsion': [8]}
  • id: 1672691
    {'degree': 8, 'field': [289584, 177408, 50256, 4032, -932, -336, -4, 0, 1], 'lmfdb_label': '33600.he1', 'torsion': [2, 4]}
  • id: 1672701
    {'degree': 16, 'field': [-17853156, 11640024, 19412676, -20877480, 2939922, 1814616, 1750608, -2223036, 687960, 28508, -53118, 5240, 1528, -160, -44, 0, 1], 'lmfdb_label': '33600.he1', 'torsion': [12]}
  • id: 1672697
    {'degree': 16, 'field': [1521, 17472, 100352, 308560, 511858, 218008, 31360, -25312, -585, 2408, 1568, -224, -90, -56, 0, 0, 1], 'lmfdb_label': '33600.he1', 'torsion': [2, 8]}
  • id: 1672699
    {'degree': 16, 'field': [25921, -297528, 59276, 1407868, -905110, -1613268, 1508828, 353424, -702227, 125556, 88288, -37744, 2604, 884, -128, -4, 1], 'lmfdb_label': '33600.he1', 'torsion': [2, 16]}
  • id: 1672700
    {'degree': 16, 'field': [2359296, 0, -7617504, 0, 9197764, 0, -4824216, 0, 871320, 0, -78636, 0, 3684, 0, -84, 0, 1], 'lmfdb_label': '33600.he1', 'torsion': [2, 6]}
  • id: 1672696
    {'degree': 16, 'field': [327573801, -401363424, 245887488, -121065840, 47897658, -14539896, 4233600, -864864, 115615, -63336, 14112, 672, 470, -168, 0, 0, 1], 'lmfdb_label': '33600.he1', 'torsion': [4, 4]}
  • id: 1672702
    {'degree': 16, 'field': [1145348649, 0, 1923436512, 0, 57461980, 0, 31978944, 0, -1092930, 0, 17376, 0, -2292, 0, 0, 0, 1], 'lmfdb_label': '33600.he1', 'torsion': [12]}
  • id: 1672698
    {'degree': 16, 'field': [12759898410000, 0, 0, 0, 10501974000, 0, 0, 0, 71045100, 0, 0, 0, 2940, 0, 0, 0, 1], 'lmfdb_label': '33600.he1', 'torsion': [16]}
• 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: 788529
    {'conductor': 33600, 'conductor_valuation': 6, 'discriminant_valuation': 19, 'j_denominator_valuation': 1, 'kodaira_symbol': -13, 'lmfdb_label': '33600.he1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 788530
    {'conductor': 33600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '33600.he1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 788531
    {'conductor': 33600, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '33600.he1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 788532
    {'conductor': 33600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '33600.he1', 'prime': 7, '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: 1888774
    {'adelic_gens': [[5, 4, 1676, 1677], [1, 16, 0, 1], [1665, 16, 1664, 17], [15, 2, 1582, 1667], [496, 5, 915, 1666], [1133, 16, 304, 1365], [1, 0, 16, 1], [202, 1255, 1467, 838], [659, 1664, 592, 315], [1252, 1255, 837, 838]], 'adelic_image': '1680.192.1.?', 'conductor': 33600, 'lmfdb_label': '33600.he1', 'prime': 0}
  • id: 150021
    {'conductor': 33600, 'elladic_image': '16.24.0.1', 'lmfdb_label': '33600.he1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 33600.he does not appear in ec_padic