Elliptic curve data - 100800.ec6

Formats: - HTML - YAML - JSON - 2025-10-13T15:54:53.996152

• 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': '100800cx', 'Clabel': '100800cx4', 'Cnumber': 4, 'abc_quality': 1.1620070102954823, 'absD': 55540601303040000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 0, 0, -1166700, -11349074000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 100800, 'degree': 7077888, 'elladic_images': ['8.12.0.12', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0434657400928929102521704495', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 106, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-58818484369, 18600435000], 'lmfdb_iso': '100800.ec', 'lmfdb_label': '100800.ec6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -81, 6561], 'min_quad_twist_disc': -120, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '8.12.0-4.c.1.2', '12.24.0.g.1', '24.96.0-24.bu.1.21', '56.24.0-56.v.1.5', '60.48.0-12.g.1.3', '84.48.0.?', '120.192.1.?', '168.192.1.?', '210.24.0.?', '420.96.0.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1575], [3, 2, 11200], [5, 18, 4032], [7, 8, 14400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.64971986870186991312831998224', 'prec': 103}, 'szpiro_ratio': 5.192995562524295, '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, 0, 0, 2, 0, 0, 0, -6, 0, 4, 0], 'aplist': [0, 0, 0, -1, 0, 2, -6, 4, 0, -6, -4, 2, -6, 8, -12, -6, -12, -2, 8, 0, -14, -16, -12, -6, -14], 'class_deg': 12, 'class_size': 8, 'conductor': 100800, 'isogeny_matrix': [[1, 3, 2, 4, 6, 12, 12, 4], [3, 1, 6, 12, 2, 4, 4, 12], [2, 6, 1, 2, 3, 6, 6, 2], [4, 12, 2, 1, 6, 12, 3, 4], [6, 2, 3, 6, 1, 2, 2, 6], [12, 4, 6, 12, 2, 1, 4, 3], [12, 4, 6, 3, 2, 4, 1, 12], [4, 12, 2, 4, 6, 3, 12, 1]], 'lmfdb_iso': '100800.ec', 'trace_hash': 2176801871545208889}
• 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': '0.0022723710432083488149800922608', 'prec': 110}, 'conductor': 100800, 'gens': [], 'heights': [], 'lmfdb_label': '100800.ec6', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.050024651688260424848175309698', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.80039442701216679757080495516466934681', 'prec': 133}, 'tamagawa_product': 64, 'torsion_generators': [[2420, 0, 1]], 'xcoord_integral_points': [2420]}
• 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.ec6'}
• ec_torsion_growth •

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

  
  
  • id: 4673135
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '100800.ec6', 'torsion': [4]}
  • id: 4673134
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '100800.ec6', 'torsion': [2, 2]}
  • id: 4673137
    {'degree': 2, 'field': [30, 0, 1], 'lmfdb_label': '100800.ec6', 'torsion': [6]}
  • id: 4673136
    {'degree': 2, 'field': [210, 0, 1], 'lmfdb_label': '100800.ec6', 'torsion': [4]}
  • id: 4673139
    {'degree': 4, 'field': [16, 0, 22, 0, 1], 'lmfdb_label': '100800.ec6', 'torsion': [2, 6]}
  • id: 4673140
    {'degree': 4, 'field': [49, 0, 16, 0, 1], 'lmfdb_label': '100800.ec6', 'torsion': [12]}
  • id: 4673138
    {'degree': 4, 'field': [841, 0, -2, 0, 1], 'lmfdb_label': '100800.ec6', 'torsion': [2, 4]}
  • id: 4673141
    {'degree': 4, 'field': [1369, 0, 46, 0, 1], 'lmfdb_label': '100800.ec6', 'torsion': [12]}
  • id: 4673142
    {'degree': 6, 'field': [-5760, 0, 880, 0, -50, 0, 1], 'lmfdb_label': '100800.ec6', 'torsion': [6]}
  • id: 4673143
    {'degree': 8, 'field': [690, 360, -236, -264, 173, -52, 22, -4, 1], 'lmfdb_label': '100800.ec6', 'torsion': [2, 4]}
  • id: 4673146
    {'degree': 8, 'field': [900, 0, 420, 0, 109, 0, -14, 0, 1], 'lmfdb_label': '100800.ec6', 'torsion': [2, 12]}
  • id: 4673144
    {'degree': 8, 'field': [2401, 0, -196, 0, -168, 0, -4, 0, 1], 'lmfdb_label': '100800.ec6', 'torsion': [8]}
  • id: 4673145
    {'degree': 8, 'field': [7554, 72, 1261, -1346, 77, 100, -13, -2, 1], 'lmfdb_label': '100800.ec6', 'torsion': [8]}
  • id: 4673149
    {'degree': 12, 'field': [53361, 0, -101136, 0, -29645, 0, -160, 0, 195, 0, -16, 0, 1], 'lmfdb_label': '100800.ec6', 'torsion': [12]}
  • id: 4673148
    {'degree': 12, 'field': [55161, 44940, 60276, 49840, 3270, -840, 510, -840, 120, 0, 6, 0, 1], 'lmfdb_label': '100800.ec6', 'torsion': [2, 6]}
  • id: 4673150
    {'degree': 12, 'field': [378225, 0, -29100, 0, 16675, 0, 5480, 0, 435, 0, 20, 0, 1], 'lmfdb_label': '100800.ec6', 'torsion': [12]}
  • id: 4673147
    {'degree': 12, 'field': [842724, 0, -706428, 0, 216085, 0, -21430, 0, 1395, 0, -58, 0, 1], 'lmfdb_label': '100800.ec6', 'torsion': [3, 6]}
  • id: 4673152
    {'degree': 16, 'field': [38416, 0, -10976, 0, 29792, 0, 2520, 0, 7121, 0, -180, 0, 152, 0, 4, 0, 1], 'lmfdb_label': '100800.ec6', 'torsion': [2, 8]}
  • id: 4673153
    {'degree': 16, 'field': [104976, 0, -3888, 0, -4716, 0, 59568, 0, 45904, 0, 1928, 0, -363, 0, -10, 0, 1], 'lmfdb_label': '100800.ec6', 'torsion': [2, 24]}
  • id: 4673151
    {'degree': 16, 'field': [476100, 0, 455280, 0, 484516, 0, 83552, 0, -3651, 0, -2324, 0, 414, 0, -28, 0, 1], 'lmfdb_label': '100800.ec6', 'torsion': [4, 4]}
  • id: 4673154
    {'degree': 16, 'field': [3218436, 0, -412368, 0, 415492, 0, 75152, 0, 38493, 0, 5236, 0, 798, 0, 44, 0, 1], 'lmfdb_label': '100800.ec6', 'torsion': [2, 12]}
  • id: 4673155
    {'degree': 16, 'field': [5764801, 0, 0, 0, 845152, 0, 0, 0, 31458, 0, 0, 0, 352, 0, 0, 0, 1], 'lmfdb_label': '100800.ec6', 'torsion': [24]}
  • id: 4673156
    {'degree': 18, 'field': [1157925796, 1847275896, 1491586020, 1030513240, 443947476, 178297728, 82523228, -5091984, 13832664, -4652276, 1491720, -444420, 67799, -9894, 219, 196, -9, -6, 1], 'lmfdb_label': '100800.ec6', '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: 2473031
    {'conductor': 100800, 'conductor_valuation': 6, 'discriminant_valuation': 21, 'j_denominator_valuation': 3, 'kodaira_symbol': -15, 'lmfdb_label': '100800.ec6', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2473032
    {'conductor': 100800, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '100800.ec6', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2473033
    {'conductor': 100800, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '100800.ec6', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2473034
    {'conductor': 100800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '100800.ec6', '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: 2326103
    {'adelic_gens': [[15, 106, 374, 11], [503, 816, 156, 551], [1, 12, 12, 145], [631, 24, 642, 289], [594, 431, 805, 664], [817, 24, 816, 25], [1, 24, 0, 1], [496, 21, 195, 466], [1, 0, 24, 1], [419, 816, 268, 691]], 'adelic_image': '840.384.5.?', 'conductor': 100800, 'lmfdb_label': '100800.ec6', 'prime': 0}
  • id: 404408
    {'conductor': 100800, 'elladic_image': '8.12.0.12', 'lmfdb_label': '100800.ec6', 'modell_image': '2B', 'prime': 2}
  • id: 404409
    {'conductor': 100800, 'elladic_image': '3.4.0.1', 'lmfdb_label': '100800.ec6', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 100800.ec does not appear in ec_padic