Elliptic curve data - 100800.mh6

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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
  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': '100800mv', 'Clabel': '100800mv4', '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': 319, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-58818484369, 18600435000], 'lmfdb_iso': '100800.mh', 'lmfdb_label': '100800.mh6', '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.1.5', '56.24.0-56.v.1.5', '60.48.0-12.g.1.4', '84.48.0.?', '120.192.1.?', '168.192.1.?', '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.mh', 'trace_hash': 727812167520824756}
• 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.mh6', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.090850049586317032060929930185', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4536007933810725129748788829565481589', 'prec': 130}, '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': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '100800.mh6'}
• ec_torsion_growth •

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

  
  
  • id: 4679163
    {'degree': 2, 'field': [-210, 0, 1], 'lmfdb_label': '100800.mh6', 'torsion': [4]}
  • id: 4679165
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '100800.mh6', 'torsion': [6]}
  • id: 4679164
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '100800.mh6', 'torsion': [4]}
  • id: 4679162
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '100800.mh6', 'torsion': [2, 2]}
  • id: 4679169
    {'degree': 4, 'field': [6, -12, 13, -2, 1], 'lmfdb_label': '100800.mh6', 'torsion': [12]}
  • id: 4679166
    {'degree': 4, 'field': [114, -36, 37, -2, 1], 'lmfdb_label': '100800.mh6', 'torsion': [2, 4]}
  • id: 4679167
    {'degree': 4, 'field': [121, 0, -8, 0, 1], 'lmfdb_label': '100800.mh6', 'torsion': [2, 6]}
  • id: 4679168
    {'degree': 4, 'field': [529, 0, -74, 0, 1], 'lmfdb_label': '100800.mh6', 'torsion': [12]}
  • id: 4679170
    {'degree': 6, 'field': [5760, 0, 880, 0, 50, 0, 1], 'lmfdb_label': '100800.mh6', 'torsion': [6]}
  • id: 4679174
    {'degree': 8, 'field': [114, -324, 574, -532, 347, -100, 38, -4, 1], 'lmfdb_label': '100800.mh6', 'torsion': [2, 12]}
  • id: 4679172
    {'degree': 8, 'field': [1864, -200, -14, 448, -273, 56, -14, -4, 1], 'lmfdb_label': '100800.mh6', 'torsion': [8]}
  • id: 4679173
    {'degree': 8, 'field': [7056, 0, -2688, 0, 298, 0, -8, 0, 1], 'lmfdb_label': '100800.mh6', 'torsion': [24]}
  • id: 4679171
    {'degree': 8, 'field': [57121, 0, -10980, 0, 1378, 0, -60, 0, 1], 'lmfdb_label': '100800.mh6', 'torsion': [2, 4]}
  • id: 4679176
    {'degree': 12, 'field': [60446, -9660, 13686, -18760, 6735, -5040, 1730, -840, 435, 0, 36, 0, 1], 'lmfdb_label': '100800.mh6', 'torsion': [2, 6]}
  • id: 4679178
    {'degree': 12, 'field': [246016, 0, -100576, 0, 24240, 0, -1400, 0, 180, 0, 14, 0, 1], 'lmfdb_label': '100800.mh6', 'torsion': [12]}
  • id: 4679177
    {'degree': 12, 'field': [378225, 0, 29100, 0, 16675, 0, -5480, 0, 435, 0, -20, 0, 1], 'lmfdb_label': '100800.mh6', 'torsion': [12]}
  • id: 4679175
    {'degree': 12, 'field': [386884, 0, 879212, 0, 178365, 0, 22330, 0, 1515, 0, 62, 0, 1], 'lmfdb_label': '100800.mh6', 'torsion': [3, 6]}
  • id: 4679181
    {'degree': 16, 'field': [12996, 0, 27984, 0, 11428, 0, 6096, 0, 14133, 0, -5588, 0, 492, 0, 12, 0, 1], 'lmfdb_label': '100800.mh6', 'torsion': [2, 24]}
  • id: 4679183
    {'degree': 16, 'field': [51076, 0, -275764, 0, 102077, 0, 93990, 0, -949, 0, -3120, 0, 467, 0, -34, 0, 1], 'lmfdb_label': '100800.mh6', 'torsion': [24]}
  • id: 4679180
    {'degree': 16, 'field': [231424, -851968, 1385984, -923904, 277984, -142304, 97608, -26560, 10380, -5560, 342, -152, 235, 0, -10, -4, 1], 'lmfdb_label': '100800.mh6', 'torsion': [2, 8]}
  • id: 4679179
    {'degree': 16, 'field': [476100, 0, 455280, 0, 484516, 0, 83552, 0, -3651, 0, -2324, 0, 414, 0, -28, 0, 1], 'lmfdb_label': '100800.mh6', 'torsion': [4, 4]}
  • id: 4679182
    {'degree': 16, 'field': [23126481, 0, 5371968, 0, 2030812, 0, -693952, 0, 196758, 0, -24896, 0, 1788, 0, -64, 0, 1], 'lmfdb_label': '100800.mh6', 'torsion': [2, 12]}
  • id: 4679184
    {'degree': 18, 'field': [-20348132924, 15282699096, 2240157780, -6603714920, 1824100356, 758370048, -394224172, -3279744, 20107824, -1504556, 108240, -97020, 1739, 3066, -861, 196, -9, -6, 1], 'lmfdb_label': '100800.mh6', '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: 2475403
    {'conductor': 100800, 'conductor_valuation': 6, 'discriminant_valuation': 21, 'j_denominator_valuation': 3, 'kodaira_symbol': -15, 'lmfdb_label': '100800.mh6', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2475404
    {'conductor': 100800, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '100800.mh6', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2475405
    {'conductor': 100800, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '100800.mh6', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2475406
    {'conductor': 100800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '100800.mh6', '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: 2326585
    {'adelic_gens': [[209, 816, 198, 551], [1, 12, 12, 145], [15, 106, 374, 11], [503, 816, 156, 551], [817, 24, 816, 25], [496, 21, 195, 466], [1, 24, 0, 1], [594, 431, 805, 664], [419, 816, 268, 691], [1, 0, 24, 1]], 'adelic_image': '840.384.5.?', 'conductor': 100800, 'lmfdb_label': '100800.mh6', 'prime': 0}
  • id: 404862
    {'conductor': 100800, 'elladic_image': '8.12.0.12', 'lmfdb_label': '100800.mh6', 'modell_image': '2B', 'prime': 2}
  • id: 404863
    {'conductor': 100800, 'elladic_image': '3.4.0.1', 'lmfdb_label': '100800.mh6', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 100800.mh does not appear in ec_padic