Elliptic curve data - 369600.eg4

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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': '369600eg', 'Clabel': '369600eg4', 'Cnumber': 4, 'abc_quality': 0.9949677274809506, 'absD': 2258805399105024000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3080, 'ainvs': [0, -1, 0, -18996033, -79014096063], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 369600, 'degree': 56623104, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3599165815108839531151007019', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 110, 'isogeny_degrees': [1, 2, 4], 'jinv': [-185077034913624841, 551466161890875], 'lmfdb_iso': '369600.eg', 'lmfdb_label': '369600.eg4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -11872, -1239641], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0-4.c.1.1', '56.12.0-4.c.1.2', '70.6.0.a.1', '88.12.0.?', '140.12.0.?', '280.24.0.?', '440.24.0.?', '616.24.0.?', '3080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, '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': '1.5154768544539158016888728531', 'prec': 100}, 'szpiro_ratio': 4.969439338521916, '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, -2, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, -1, 0, -1, 1, -2, 6, -4, 4, 2, -4, -2, -2, -12, 0, -2, 0, 14, -8, -16, -10, 16, -4, -6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 369600, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '369600.eg', 'trace_hash': 1647680407005070488}
• 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': '0.0012067395259404529300135714739', 'prec': 110}, 'conductor': 369600, 'gens': [], 'heights': [], 'lmfdb_label': '369600.eg4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.033433065969947630485364417452', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.53492905551916208776583067923909736101', 'prec': 133}, 'tamagawa_product': 64, 'torsion_generators': [[5727, 0, 1]], 'xcoord_integral_points': [5727]}
• lmfdb_label 369600.eg4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15339193
    {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '369600.eg4', 'torsion': [4]}
  • id: 15339192
    {'degree': 2, 'field': [9, -1, 1], 'lmfdb_label': '369600.eg4', 'torsion': [2, 2]}
  • id: 15339194
    {'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '369600.eg4', 'torsion': [4]}
  • id: 15339195
    {'degree': 4, 'field': [36, 0, -2, 0, 1], 'lmfdb_label': '369600.eg4', 'torsion': [2, 4]}
  • id: 15339199
    {'degree': 8, 'field': [-30000, 0, 883000, 0, -600, 0, 0, 0, 1], 'lmfdb_label': '369600.eg4', 'torsion': [6]}
  • id: 15339198
    {'degree': 8, 'field': [100, 0, 280, 0, 44, 0, 16, 0, 1], 'lmfdb_label': '369600.eg4', 'torsion': [8]}
  • id: 15339196
    {'degree': 8, 'field': [225, 0, 200, 0, 55, 0, -10, 0, 1], 'lmfdb_label': '369600.eg4', 'torsion': [2, 4]}
  • id: 15339197
    {'degree': 8, 'field': [30976, 0, -23936, 0, -799, 0, 4, 0, 1], 'lmfdb_label': '369600.eg4', 'torsion': [8]}
  • id: 15339200
    {'degree': 16, 'field': [6561, 0, 0, 0, 25596, 0, 0, 0, 4966, 0, 0, 0, 316, 0, 0, 0, 1], 'lmfdb_label': '369600.eg4', 'torsion': [4, 4]}
  • id: 15339202
    {'degree': 16, 'field': [38551681, 0, 7811356, 0, 1377328, 0, -129276, 0, -24402, 0, -2172, 0, 112, 0, 28, 0, 1], 'lmfdb_label': '369600.eg4', 'torsion': [2, 8]}
  • id: 15339201
    {'degree': 16, 'field': [96059601, 0, -187591140, 0, 513078841, 0, -58470940, 0, 5346256, 0, -213020, 0, 5161, 0, -100, 0, 1], 'lmfdb_label': '369600.eg4', 'torsion': [2, 8]}
  • id: 15339205
    {'degree': 16, 'field': [332223529, 0, -132330682, 0, 6181285, 0, 8422116, 0, 950010, 0, 54474, 0, 2788, 0, 80, 0, 1], 'lmfdb_label': '369600.eg4', 'torsion': [12]}
  • id: 15339204
    {'degree': 16, 'field': [5168028321, 0, 2029718052, 0, 113730948, 0, -36980756, 0, 1463270, 0, -8276, 0, -1532, 0, -28, 0, 1], 'lmfdb_label': '369600.eg4', 'torsion': [12]}
  • id: 15339203
    {'degree': 16, 'field': [200417020185, -54231708120, 54415515884, -424492432, 364087346, -209143928, 114362752, -37796600, 8885955, 330840, -20496, -26264, 5530, -560, 100, -8, 1], 'lmfdb_label': '369600.eg4', 'torsion': [2, 6]}
• 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: 9141992
    {'conductor': 369600, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '369600.eg4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9141993
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '369600.eg4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9141994
    {'conductor': 369600, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '369600.eg4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 9141995
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '369600.eg4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9141996
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '369600.eg4', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 3964130
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [2521, 8, 844, 33], [1163, 1156, 1202, 2701], [381, 382, 1142, 2685], [1224, 3077, 3075, 3078], [2208, 3, 1765, 2], [3073, 8, 3072, 9], [7, 6, 3074, 3075]], 'adelic_image': '3080.48.0.?', 'conductor': 369600, 'lmfdb_label': '369600.eg4', 'prime': 0}
  • id: 1268697
    {'conductor': 369600, 'elladic_image': '4.6.0.1', 'lmfdb_label': '369600.eg4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 369600.eg does not appear in ec_padic