Elliptic curve data - 369600.ny4

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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': '369600ny', 'Clabel': '369600ny1', 'Cnumber': 1, 'abc_quality': 1.0841894509169339, 'absD': 83117776896000000000, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 9240, 'ainvs': [0, 1, 0, -187924833, -991634817537], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 369600, 'degree': 36864000, 'elladic_images': ['2.3.0.1', '5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2461493054106191070324265870', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 362, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [1433528304665250149, 162339408], 'lmfdb_iso': '369600.ny', 'lmfdb_label': '369600.ny4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -117453, -15503103], 'min_quad_twist_disc': 40, 'modell_images': ['2B', '5B.4.2'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.2', '10.36.0.a.1', '40.72.0-10.a.1.8', '60.72.1.ch.1', '120.144.1.?', '770.72.1.?', '924.6.0.?', '3080.144.1.?', '4620.144.5.?', '9240.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '71.962367462301493685296439482', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.99935010024512586195600890490', 'prec': 103}, 'szpiro_ratio': 5.364065015032288, '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, 2, 0, 0, 0], 'aplist': [0, 1, 0, -1, -1, 4, 2, 0, 6, 0, 2, 8, 2, 4, -8, -6, 0, -2, 8, -8, -4, 10, -6, 0, 2], 'class_deg': 10, 'class_size': 4, 'conductor': 369600, 'isogeny_matrix': [[1, 2, 5, 10], [2, 1, 10, 5], [5, 10, 1, 2], [10, 5, 2, 1]], 'lmfdb_iso': '369600.ny', 'trace_hash': 1116616110959088943}
• 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': '0.0015150624635249947759537331377', 'prec': 110}, 'conductor': 369600, 'gens': [[282825412235954294132891037455731, 4755243926769928815768248849342152229365656104704, 21263308864785]], 'heights': [{'__RealLiteral__': 0, 'data': '71.962367462301493685296439482', 'prec': 100}], 'lmfdb_label': '369600.ny4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.040775896120996944258102012036', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.737320081055264766693808483841317793', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-7917, 0, 1]], 'xcoord_integral_points': [-7917]}
• lmfdb_label 369600.ny4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15345191
    {'degree': 2, 'field': [-96, -1, 1], 'lmfdb_label': '369600.ny4', 'torsion': [2, 2]}
  • id: 15345193
    {'degree': 4, 'field': [20, 0, 10, 0, 1], 'lmfdb_label': '369600.ny4', 'torsion': [10]}
  • id: 15345192
    {'degree': 4, 'field': [385, 0, 40, 0, 1], 'lmfdb_label': '369600.ny4', 'torsion': [4]}
  • id: 15345196
    {'degree': 8, 'field': [-13996800, 0, 807750, 0, -12960, 0, 0, 0, 1], 'lmfdb_label': '369600.ny4', 'torsion': [6]}
  • id: 15345197
    {'degree': 8, 'field': [331391, 33796, -31860, -3816, 1769, 164, -50, -4, 1], 'lmfdb_label': '369600.ny4', 'torsion': [2, 10]}
  • id: 15345195
    {'degree': 8, 'field': [2073600, 0, -250400, 0, -10180, 0, -40, 0, 1], 'lmfdb_label': '369600.ny4', 'torsion': [2, 4]}
  • id: 15345194
    {'degree': 8, 'field': [2205225, 0, -221100, 0, 5470, 0, 100, 0, 1], 'lmfdb_label': '369600.ny4', 'torsion': [2, 4]}
  • id: 15345198
    {'degree': 10, 'field': [-14440, 0, 12416, 0, -3448, 0, 304, 0, -2, 0, 1], 'lmfdb_label': '369600.ny4', 'torsion': [10]}
  • id: 15345201
    {'degree': 16, 'field': [625, 0, 12500, 0, 71625, 0, 113000, 0, 63150, 0, 13700, 0, 1340, 0, 60, 0, 1], 'lmfdb_label': '369600.ny4', 'torsion': [20]}
  • id: 15345200
    {'degree': 16, 'field': [116640000, 0, -4825316340000, 0, -161918640000, 0, -1523178000, 0, -118164000, 0, -3938650, 0, -37680, 0, 0, 0, 1], 'lmfdb_label': '369600.ny4', 'torsion': [2, 6]}
  • id: 15345199
    {'degree': 16, 'field': [501760000, 0, 801280000, 0, 413896000, 0, 80494000, 0, 5265625, 0, 175000, 0, 3610, 0, 40, 0, 1], 'lmfdb_label': '369600.ny4', 'torsion': [8]}
  • id: 15345202
    {'degree': 20, 'field': [4011557327964736, 0, -1582237451808640, 0, 231871765839552, 0, -16812342941376, 0, 751254445200, 0, -22901881968, 0, 487090128, 0, -7121064, 0, 68760, 0, -394, 0, 1], 'lmfdb_label': '369600.ny4', 'torsion': [2, 10]}
• 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: 9144927
    {'conductor': 369600, 'conductor_valuation': 6, 'discriminant_valuation': 22, 'j_denominator_valuation': 4, 'kodaira_symbol': -16, 'lmfdb_label': '369600.ny4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 9144928
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '369600.ny4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9144929
    {'conductor': 369600, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '369600.ny4', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9144930
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '369600.ny4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9144931
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '369600.ny4', '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: 3964743
    {'adelic_gens': [[4619, 0, 0, 9239], [5538, 9235, 9185, 9194], [5864, 9235, 7185, 4634], [1, 0, 20, 1], [2311, 20, 0, 1], [1, 20, 0, 1], [11, 16, 9000, 8891], [9221, 20, 9220, 21], [7699, 9220, 7690, 9039], [4639, 9220, 4640, 9219], [1336, 5, 2595, 4606], [9229, 9224, 4860, 4969], [1, 10, 10, 101]], 'adelic_image': '9240.288.5.?', 'conductor': 369600, 'lmfdb_label': '369600.ny4', 'prime': 0}
  • id: 1269284
    {'conductor': 369600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '369600.ny4', 'modell_image': '2B', 'prime': 2}
  • id: 1269285
    {'conductor': 369600, 'elladic_image': '5.12.0.2', 'lmfdb_label': '369600.ny4', 'modell_image': '5B.4.2', 'prime': 5}
• lmfdb_iso 369600.ny does not appear in ec_padic