Elliptic curve data - 369600.eg2

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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': '369600eg2', 'Cnumber': 2, 'abc_quality': 0.9769462328057811, 'absD': 2489610816000000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3080, 'ainvs': [0, -1, 0, -25996033, -50951096063], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 369600, 'degree': 28311552, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0133429912309112984064846411', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 110, 'isogeny_degrees': [1, 2], 'jinv': [474334834335054841, 607815140625], 'lmfdb_iso': '369600.eg', 'lmfdb_label': '369600.eg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -16247, -803016], 'min_quad_twist_disc': 40, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '40.12.0-2.a.1.1', '44.12.0.a.1', '56.12.0-2.a.1.1', '140.12.0.?', '280.24.0.?', '440.24.0.?', '616.24.0.?', '1540.24.0.?', '3080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1689032641739431469802567923', 'prec': 100}, 'szpiro_ratio': 4.901177921492949, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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': '0.0024134790518809058600271429478', 'prec': 110}, 'conductor': 369600, 'gens': [], 'heights': [], 'lmfdb_label': '369600.eg2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.066866131939895260970728834905', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.53492905551916208776583067923909736101', 'prec': 133}, 'tamagawa_product': 128, 'torsion_generators': [[-3023, 0, 1], [5887, 0, 1]], 'xcoord_integral_points': [-3023, -2863, 5887]}
• lmfdb_label 369600.eg2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15339172
    {'degree': 4, 'field': [36, 0, 2, 0, 1], 'lmfdb_label': '369600.eg2', 'torsion': [2, 4]}
  • id: 15339170
    {'degree': 4, 'field': [441, 0, -2, 0, 1], 'lmfdb_label': '369600.eg2', 'torsion': [2, 4]}
  • id: 15339171
    {'degree': 4, 'field': [576, 0, -62, 0, 1], 'lmfdb_label': '369600.eg2', 'torsion': [2, 4]}
  • id: 15339173
    {'degree': 8, 'field': [-30000, 0, 883000, 0, -600, 0, 0, 0, 1], 'lmfdb_label': '369600.eg2', 'torsion': [2, 6]}
  • id: 15339175
    {'degree': 16, 'field': [6561, 0, 37908, 0, 29808, 0, -4500, 0, -6194, 0, -500, 0, 368, 0, 52, 0, 1], 'lmfdb_label': '369600.eg2', 'torsion': [2, 8]}
  • id: 15339174
    {'degree': 16, 'field': [8100, -70200, 229500, -347640, 257114, -131544, 101662, -60588, 30613, -13112, 5786, -2204, 792, -224, 52, -8, 1], 'lmfdb_label': '369600.eg2', 'torsion': [4, 4]}
  • id: 15339177
    {'degree': 16, 'field': [456976, 0, -983648, 0, 2110208, 0, 135024, 0, 13100, 0, -2376, 0, -52, 0, -8, 0, 1], 'lmfdb_label': '369600.eg2', 'torsion': [2, 8]}
  • id: 15339176
    {'degree': 16, 'field': [88360000, 0, -514576000, 0, -15117900, 0, -19515860, 0, 225001, 0, 71596, 0, -714, 0, -64, 0, 1], 'lmfdb_label': '369600.eg2', 'torsion': [2, 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: 9141982
    {'conductor': 369600, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '369600.eg2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 9141983
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '369600.eg2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9141984
    {'conductor': 369600, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '369600.eg2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 9141985
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '369600.eg2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9141986
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '369600.eg2', 'prime': 11, 'reduction_type': 1, '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: 3964128
    {'adelic_gens': [[1, 0, 4, 1], [2769, 3078, 2774, 1541], [3077, 4, 3076, 5], [1, 4, 0, 1], [2309, 3076, 0, 3079], [1543, 3076, 1544, 3075], [1539, 0, 0, 3079], [2637, 3078, 2862, 1541], [2099, 3076, 2658, 3071]], 'adelic_image': '3080.48.0.?', 'conductor': 369600, 'lmfdb_label': '369600.eg2', 'prime': 0}
  • id: 1268695
    {'conductor': 369600, 'elladic_image': '2.6.0.1', 'lmfdb_label': '369600.eg2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 369600.eg does not appear in ec_padic