Elliptic curve data - 100800.hu2

Formats: - HTML - YAML - JSON - 2025-10-22T11:02:56.930899

• 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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '100800ei', 'Clabel': '100800ei1', 'Cnumber': 1, 'abc_quality': 1.002089692021393, 'absD': 55112400000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 840, 'ainvs': [0, 0, 0, -55200, -4979000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 100800, 'degree': 442368, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5064942875560814587879456537', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 202, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1594753024, 4725], 'lmfdb_iso': '100800.hu', 'lmfdb_label': '100800.hu2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -61, 164], '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', '20.6.0.b.1', '24.24.0-6.a.1.15', '42.24.0.c.1', '60.24.0.p.1', '120.48.0.?', '168.48.0.?', '420.48.1.?', '840.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1575], [3, 2, 11200], [5, 18, 4032], [7, 8, 14400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42515346346164466539108339926', 'prec': 107}, 'szpiro_ratio': 3.8512427192445817, '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, -1, 0, 0, 0, 6, 0, -4, 0, 0, 0, 6, 0, -2, 0], 'aplist': [0, 0, 0, -1, 6, -4, 6, -2, 0, 6, -10, 2, 6, -4, 0, 12, 0, -14, -4, -6, 4, -16, 12, -6, 16], 'class_deg': 6, 'class_size': 4, 'conductor': 100800, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '100800.hu', 'trace_hash': 1608875847915100876}
• 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': '0.049144586783273338280466679523', 'prec': 107}, 'conductor': 100800, 'gens': [], 'heights': [], 'lmfdb_label': '100800.hu2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.31152444802504524648434678351', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4921955842003619718747742681150684036', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-130, 0, 1]], 'xcoord_integral_points': [-130]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '100800.hu2'}
• ec_torsion_growth •

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

  
  
  • id: 4674372
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '100800.hu2', 'torsion': [2, 2]}
  • id: 4674373
    {'degree': 2, 'field': [30, 0, 1], 'lmfdb_label': '100800.hu2', 'torsion': [6]}
  • id: 4674374
    {'degree': 4, 'field': [84, 0, -4, 0, 1], 'lmfdb_label': '100800.hu2', 'torsion': [4]}
  • id: 4674375
    {'degree': 4, 'field': [100, 0, 50, 0, 1], 'lmfdb_label': '100800.hu2', 'torsion': [2, 6]}
  • id: 4674376
    {'degree': 6, 'field': [-7840, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '100800.hu2', 'torsion': [6]}
  • id: 4674379
    {'degree': 8, 'field': [36, 0, 72, 0, 28, 0, -8, 0, 1], 'lmfdb_label': '100800.hu2', 'torsion': [12]}
  • id: 4674378
    {'degree': 8, 'field': [2025, 0, -180, 0, 19, 0, 4, 0, 1], 'lmfdb_label': '100800.hu2', 'torsion': [2, 4]}
  • id: 4674377
    {'degree': 8, 'field': [16129, 0, -6674, 0, 447, 0, -38, 0, 1], 'lmfdb_label': '100800.hu2', 'torsion': [2, 4]}
  • id: 4674380
    {'degree': 12, 'field': [14400, 0, -26400, 0, 47200, 0, -1960, 0, -120, 0, -10, 0, 1], 'lmfdb_label': '100800.hu2', 'torsion': [3, 6]}
  • id: 4674381
    {'degree': 12, 'field': [1351239, 418662, -405767, -10090, -32580, 40662, -6259, -5886, 1020, 290, -47, -6, 1], 'lmfdb_label': '100800.hu2', 'torsion': [2, 6]}
  • id: 4674384
    {'degree': 16, 'field': [400, 0, 1440, -3680, 8304, -9184, 23744, -20624, 22140, -10624, 5808, -1528, 560, -152, 44, -8, 1], 'lmfdb_label': '100800.hu2', 'torsion': [2, 12]}
  • id: 4674382
    {'degree': 16, 'field': [10233216, 11446272, 1036800, -912384, 1839168, 268416, 307584, -142656, 52000, 13408, -5632, 2256, -328, -24, 32, -8, 1], 'lmfdb_label': '100800.hu2', 'torsion': [8]}
  • id: 4674383
    {'degree': 16, 'field': [102677761, 1589788, -2922280, -16933524, 16580984, -7359484, 2592280, -1042860, 408286, -115980, 26440, -5372, 1016, -84, 8, -4, 1], 'lmfdb_label': '100800.hu2', 'torsion': [2, 12]}
  • id: 4674385
    {'degree': 18, 'field': [7812900625, -7201016250, 860934375, 273110500, 145245000, -58444500, 14927750, -5960700, 2063850, -8840, -121980, 10620, 16004, -2100, 102, 76, 9, -6, 1], 'lmfdb_label': '100800.hu2', '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: 2473431
    {'conductor': 100800, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '100800.hu2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2473432
    {'conductor': 100800, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '100800.hu2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2473433
    {'conductor': 100800, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '100800.hu2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2473434
    {'conductor': 100800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '100800.hu2', 'prime': 7, '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: 2326321
    {'adelic_gens': [[431, 828, 432, 827], [310, 3, 213, 412], [1, 0, 12, 1], [829, 12, 828, 13], [1, 6, 6, 37], [419, 0, 0, 839], [146, 11, 129, 400], [829, 838, 470, 429], [801, 662, 574, 439], [1, 12, 0, 1], [503, 828, 498, 767], [11, 2, 790, 831]], 'adelic_image': '840.96.1.?', 'conductor': 100800, 'lmfdb_label': '100800.hu2', 'prime': 0}
  • id: 404609
    {'conductor': 100800, 'elladic_image': '2.3.0.1', 'lmfdb_label': '100800.hu2', 'modell_image': '2B', 'prime': 2}
  • id: 404610
    {'conductor': 100800, 'elladic_image': '3.4.0.1', 'lmfdb_label': '100800.hu2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 100800.hu does not appear in ec_padic