Elliptic curve data - 158400.be1

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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': '158400gw', 'Clabel': '158400gw3', 'Cnumber': 3, 'abc_quality': 1.060526939392005, 'absD': 886837248000000000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1320, 'ainvs': [0, 0, 0, -154572300, 739681578000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 158400, 'degree': 23887872, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2663421321972167155445673818', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 30, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [5066026756449723, 11000000], 'lmfdb_iso': '158400.be', 'lmfdb_label': '158400.be1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -10734, 430740], 'min_quad_twist_disc': 120, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0.cc.1', '60.24.0-6.a.1.12', '66.24.0.b.1', '88.6.0.?', '120.48.0.?', '264.48.1.?', '660.48.0.?', '1320.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.7230782585489665305194387321', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.59794318863916629557190560531', 'prec': 103}, 'szpiro_ratio': 5.694714022149784, '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, 0, 0, 0, 0, -4, 0, 0, 0, 1, 0, -4, 0, 0, 0, 6, 0, 2, 0], 'aplist': [0, 0, 0, -4, 1, -4, 6, 2, -6, 6, -8, 2, -6, 10, -6, 6, 0, -8, 4, 6, -14, 16, -12, 0, -14], 'class_deg': 6, 'class_size': 4, 'conductor': 158400, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '158400.be', 'trace_hash': 1817950904173934050}
• 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': '0.0014550947439025225929906488805', 'prec': 110}, 'conductor': 158400, 'gens': [[272220, 845283600, 11]], 'heights': [{'__RealLiteral__': 0, 'data': '9.7230782585489665305194387321', 'prec': 100}], 'lmfdb_label': '158400.be1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.13593602595670734787156441854', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.2868664741328367676036182974068248126', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[7170, 0, 1]], 'xcoord_integral_points': [7170]}
• lmfdb_label 158400.be1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7090361
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '158400.be1', 'torsion': [6]}
  • id: 7090360
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '158400.be1', 'torsion': [2, 2]}
  • id: 7090362
    {'degree': 4, 'field': [186, -60, 18, 0, 1], 'lmfdb_label': '158400.be1', 'torsion': [4]}
  • id: 7090363
    {'degree': 4, 'field': [400, 0, -70, 0, 1], 'lmfdb_label': '158400.be1', 'torsion': [2, 6]}
  • id: 7090364
    {'degree': 6, 'field': [1121, 660, 300, -22, 30, 0, 1], 'lmfdb_label': '158400.be1', 'torsion': [6]}
  • id: 7090365
    {'degree': 8, 'field': [144, 0, 414, 0, -555, 0, -48, 0, 1], 'lmfdb_label': '158400.be1', 'torsion': [2, 4]}
  • id: 7090367
    {'degree': 8, 'field': [609, -1332, 1218, -408, -35, 20, 12, -4, 1], 'lmfdb_label': '158400.be1', 'torsion': [12]}
  • id: 7090366
    {'degree': 8, 'field': [841, 0, 22, 0, -102, 0, 22, 0, 1], 'lmfdb_label': '158400.be1', 'torsion': [2, 4]}
  • id: 7090368
    {'degree': 12, 'field': [1256641, -739860, 99300, -247324, 70890, 46200, -6274, 0, 600, -44, -30, 0, 1], 'lmfdb_label': '158400.be1', 'torsion': [3, 6]}
  • id: 7090369
    {'degree': 12, 'field': [1682209, 0, -291000, 0, 239100, 0, 19406, 0, 1500, 0, 60, 0, 1], 'lmfdb_label': '158400.be1', 'torsion': [2, 6]}
  • id: 7090371
    {'degree': 16, 'field': [42436, 0, -160876, 0, 1117369, 0, -325522, 0, 76504, 0, -13444, 0, 1276, 0, -58, 0, 1], 'lmfdb_label': '158400.be1', 'torsion': [2, 12]}
  • id: 7090372
    {'degree': 16, 'field': [440896, 0, 561984, 0, -120032, 0, -53160, 0, 24681, 0, 9000, 0, 982, 0, 48, 0, 1], 'lmfdb_label': '158400.be1', 'torsion': [2, 12]}
  • id: 7090370
    {'degree': 16, 'field': [2661130, 251400, -553364, 721024, -619274, 211656, 105820, -175824, 78067, -28072, 11308, -3584, 1022, -224, 52, -8, 1], 'lmfdb_label': '158400.be1', 'torsion': [8]}
  • id: 7090373
    {'degree': 18, 'field': [-200686725, -47214900, -646681050, -382848750, 454850100, 100087650, -38626785, 15888510, -12663585, 6802170, -2378745, 626580, -110019, 14724, -270, -90, -15, -6, 1], 'lmfdb_label': '158400.be1', 'torsion': [18]}
• 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: 3918037
    {'conductor': 158400, 'conductor_valuation': 6, 'discriminant_valuation': 24, 'j_denominator_valuation': 6, 'kodaira_symbol': -18, 'lmfdb_label': '158400.be1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3918038
    {'conductor': 158400, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '158400.be1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3918039
    {'conductor': 158400, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '158400.be1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3918040
    {'conductor': 158400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '158400.be1', '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: 2688655
    {'adelic_gens': [[263, 0, 0, 1319], [1309, 12, 1308, 13], [659, 780, 1050, 719], [11, 2, 1270, 1311], [1, 12, 0, 1], [1, 6, 6, 37], [1, 0, 12, 1], [1186, 795, 45, 256], [309, 800, 610, 19], [1264, 1045, 915, 824]], 'adelic_image': '1320.96.1.?', 'conductor': 158400, 'lmfdb_label': '158400.be1', 'prime': 0}
  • id: 603611
    {'conductor': 158400, 'elladic_image': '2.3.0.1', 'lmfdb_label': '158400.be1', 'modell_image': '2B', 'prime': 2}
  • id: 603612
    {'conductor': 158400, 'elladic_image': '3.4.0.1', 'lmfdb_label': '158400.be1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 158400.be does not appear in ec_padic