Elliptic curve data - 369600.s1

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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': '369600s', 'Clabel': '369600s1', 'Cnumber': 1, 'abc_quality': 0.9030478188526117, 'absD': 581986944000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 9240, 'ainvs': [0, -1, 0, -256033, -33668063], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 369600, 'degree': 4423680, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1129590154657532462025193116', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2], 'jinv': [1812647208964, 568346625], 'lmfdb_iso': '369600.s', 'lmfdb_label': '369600.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2560, -32900], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.c.1', '770.6.0.?', '9240.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6400491901203884330765550272', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.38404381850210931301249681637', 'prec': 103}, 'szpiro_ratio': 3.8199779347077287, '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, -1, 0, -4, 0, 0, 0, -4, 0, -4, 0], 'aplist': [0, -1, 0, -1, -1, -4, -4, -4, -2, -10, -4, 4, -6, 0, 0, -6, -12, 14, 2, 12, -6, 0, 0, -4, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 369600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '369600.s', 'trace_hash': 1369128937043926185}
• 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': '0.014611914361037250902984175614', 'prec': 107}, 'conductor': 369600, 'gens': [[-303, 4000, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.6400491901203884330765550272', 'prec': 100}], 'lmfdb_label': '369600.s1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.21746431961738254772004539998', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8532174501485563679775410910843706871', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-143, 0, 1]], 'xcoord_integral_points': [-303, -143, 1072]}
• lmfdb_label 369600.s1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15337461
    {'degree': 2, 'field': [-96, -1, 1], 'lmfdb_label': '369600.s1', 'torsion': [2, 2]}
  • id: 15337462
    {'degree': 4, 'field': [100, -48, 2, 0, 1], 'lmfdb_label': '369600.s1', 'torsion': [4]}
  • id: 15337465
    {'degree': 8, 'field': [-18750000, 0, -1112000, 0, -15000, 0, 0, 0, 1], 'lmfdb_label': '369600.s1', 'torsion': [6]}
  • id: 15337464
    {'degree': 8, 'field': [112896, 0, 30240, 0, -572, 0, 20, 0, 1], 'lmfdb_label': '369600.s1', 'torsion': [2, 4]}
  • id: 15337463
    {'degree': 8, 'field': [147456, 0, 10784, 0, -13084, 0, 4, 0, 1], 'lmfdb_label': '369600.s1', 'torsion': [2, 4]}
  • id: 15337467
    {'degree': 16, 'field': [947408400, 0, -393431040, 0, -536048784, 0, -168501600, 0, -20340120, 0, -711272, 0, -9960, 0, 0, 0, 1], 'lmfdb_label': '369600.s1', 'torsion': [2, 6]}
  • id: 15337466
    {'degree': 16, 'field': [2363157348265, 3220038951680, 2712157266520, -1507102411480, 192207055146, 6712806056, 853561120, -1045375104, 162951577, -27221304, 4000340, -154248, -3640, -872, -16, 0, 1], 'lmfdb_label': '369600.s1', '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: 9141052
    {'conductor': 369600, 'conductor_valuation': 6, 'discriminant_valuation': 16, 'j_denominator_valuation': 0, 'kodaira_symbol': -10, 'lmfdb_label': '369600.s1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 9141053
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '369600.s1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9141054
    {'conductor': 369600, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '369600.s1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 9141055
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '369600.s1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9141056
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '369600.s1', 'prime': 11, '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: 3965025
    {'adelic_gens': [[1, 2, 2, 5], [1, 4, 0, 1], [4621, 4, 2, 9], [5777, 3466, 3464, 5775], [6161, 4, 3082, 9], [1322, 1, 3959, 0], [1, 0, 4, 1], [7394, 1, 5543, 0], [5042, 1, 6719, 0], [3, 4, 8, 11], [9237, 4, 9236, 5]], 'adelic_image': '9240.12.0.?', 'conductor': 369600, 'lmfdb_label': '369600.s1', 'prime': 0}
  • id: 1269572
    {'conductor': 369600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '369600.s1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 369600.s does not appear in ec_padic