Elliptic curve data - 278850.g2

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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': '278850g', 'Clabel': '278850g3', 'Cnumber': 3, 'abc_quality': 0.9888164482102493, 'absD': 197044334793326592000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 8580, 'ainvs': [1, 1, 0, -15782575, -32232846875], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 278850, 'degree': 41803776, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1764447634101300888090368048', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-5764706497797625, 2612665516032], 'lmfdb_iso': '278850.g', 'lmfdb_label': '278850.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -3736, -117658], 'min_quad_twist_disc': 65, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.i.1', '195.8.0.?', '286.6.0.?', '330.24.0.?', '390.24.0.?', '660.48.0.?', '780.48.0.?', '858.24.0.?', '1716.48.1.?', '4290.48.0.?', '8580.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 46475], [3, 4, 4225], [5, 14, 11154], [11, 12, 25350], [13, 98, 1650]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0892511284623115334819134174', 'prec': 100}, 'szpiro_ratio': 4.938038073711812, '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, -1, -1, 1, 0, 1, -4, -1, 1, 0, 1, -1, 0, 4, 0, 1, 0, -1, 4, 0], 'aplist': [-1, -1, 0, -4, 1, 0, 0, 4, 0, 0, 10, 2, 6, 10, 0, -6, 0, 2, 2, -12, -10, -10, -12, -12, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 278850, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '278850.g', 'trace_hash': 947006195871281801}
• 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': '0.0017417071486590790604048956246', 'prec': 110}, 'conductor': 278850, 'gens': [], 'heights': [], 'lmfdb_label': '278850.g2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.037061661060153636515939762847', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.88947986544368727638255430833855489529', 'prec': 133}, 'tamagawa_product': 96, 'torsion_generators': [[4750, -2375, 1]], 'xcoord_integral_points': [4750]}
• lmfdb_label 278850.g2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11880010
    {'degree': 2, 'field': [36, -1, 1], 'lmfdb_label': '278850.g2', 'torsion': [2, 2]}
  • id: 11880011
    {'degree': 2, 'field': [49, -1, 1], 'lmfdb_label': '278850.g2', 'torsion': [6]}
  • id: 11880012
    {'degree': 4, 'field': [-191, -90, 41, 0, 1], 'lmfdb_label': '278850.g2', 'torsion': [4]}
  • id: 11880013
    {'degree': 4, 'field': [621, -279, 22, -1, 1], 'lmfdb_label': '278850.g2', 'torsion': [2, 6]}
  • id: 11880014
    {'degree': 6, 'field': [936, 0, 0, -273, 0, 0, 1], 'lmfdb_label': '278850.g2', 'torsion': [6]}
  • id: 11880017
    {'degree': 8, 'field': [1261, 2392, 1741, 1114, 432, -22, 49, -4, 1], 'lmfdb_label': '278850.g2', 'torsion': [12]}
  • id: 11880016
    {'degree': 8, 'field': [341289, 113256, 14715, -2826, 1372, 236, -37, -2, 1], 'lmfdb_label': '278850.g2', 'torsion': [2, 4]}
  • id: 11880015
    {'degree': 8, 'field': [810000, 0, -8875, 0, -1750, 0, 10, 0, 1], 'lmfdb_label': '278850.g2', 'torsion': [2, 4]}
  • id: 11880018
    {'degree': 12, 'field': [1464100, -998250, -328515, 21010, 435681, -226872, 70809, 4788, -2367, 496, 21, -6, 1], 'lmfdb_label': '278850.g2', 'torsion': [3, 6]}
  • id: 11880019
    {'degree': 12, 'field': [56070144, 0, 0, 0, 0, 0, -13689, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '278850.g2', 'torsion': [2, 6]}
  • id: 11880020
    {'degree': 16, 'field': [-670483725651, -107855202564, 41308568262, 77683210884, -25523508444, 3289438068, -28398894, -2416404, 6833149, -5536028, 59182, 31060, -4808, -224, -32, -8, 1], 'lmfdb_label': '278850.g2', 'torsion': [8]}
  • id: 11880022
    {'degree': 16, 'field': [241644676, -91532896, 107084344, -30532012, 13827029, 1758326, -634878, 35306, -3298, 388, -4218, 2326, -418, -14, 22, -8, 1], 'lmfdb_label': '278850.g2', 'torsion': [2, 12]}
  • id: 11880021
    {'degree': 16, 'field': [17175195636, -16336250076, 6697668997, -1002702614, -551110894, 171176880, 44240613, -9427540, 2745367, 92440, 38213, -13780, 1391, -324, 12, -6, 1], 'lmfdb_label': '278850.g2', 'torsion': [2, 12]}
  • id: 11880023
    {'degree': 18, 'field': [2696804845934551, 2853742116091251, 690637415785053, 2417064981056, 28286260671306, -7878126534630, 1061240273690, -345507153396, 39645481365, -7260623755, 1009730199, -90066684, 15670994, -667914, 136722, -3520, 579, -9, 1], 'lmfdb_label': '278850.g2', '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: 6907158
    {'conductor': 278850, 'conductor_valuation': 1, 'discriminant_valuation': 24, 'j_denominator_valuation': 24, 'kodaira_symbol': 28, 'lmfdb_label': '278850.g2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6907159
    {'conductor': 278850, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '278850.g2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6907160
    {'conductor': 278850, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '278850.g2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6907161
    {'conductor': 278850, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '278850.g2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 6907162
    {'conductor': 278850, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '278850.g2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 3424117
    {'adelic_gens': [[11, 2, 8530, 8571], [6194, 5145, 7815, 1724], [1, 0, 12, 1], [8569, 12, 8568, 13], [1, 6, 6, 37], [1, 12, 0, 1], [2861, 5160, 1150, 5221], [7011, 4150, 6170, 5021], [6863, 0, 0, 8579], [2506, 3435, 7305, 6856]], 'adelic_image': '8580.96.1.?', 'conductor': 278850, 'lmfdb_label': '278850.g2', 'prime': 0}
  • id: 993073
    {'conductor': 278850, 'elladic_image': '2.3.0.1', 'lmfdb_label': '278850.g2', 'modell_image': '2B', 'prime': 2}
  • id: 993074
    {'conductor': 278850, 'elladic_image': '3.4.0.1', 'lmfdb_label': '278850.g2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 278850.g does not appear in ec_padic