Elliptic curve data - 798.f2

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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': '798f', 'Clabel': '798f1', 'Cnumber': 1, 'abc_quality': 1.0438996449921474, 'absD': 715008, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1596, 'ainvs': [1, 0, 1, -39, -86], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 798, 'degree': 256, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.14407146467305583587460690177', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2], 'jinv': [6321363049, 715008], 'lmfdb_iso': '798.f', 'lmfdb_label': '798.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -39, -86], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '28.6.0.b.1', '114.6.0.?', '1596.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 57], [3, 4, 266], [7, 8, 114], [19, 20, 42]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.14407146467305583587460690177', 'prec': 107}, 'szpiro_ratio': 3.3772573978779734, '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, 4, -1, 1, -1, 1, -4, -2, 1, 0, -1, 4, 1, 8, -1, 1, 4], 'aplist': [-1, 1, 4, 1, -2, 0, 8, 1, -6, -2, -8, -10, 2, -8, 8, -2, 12, 6, -10, 12, -6, -6, -4, 2, 16], 'class_deg': 2, 'class_size': 2, 'conductor': 798, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '798.f', 'trace_hash': 1584369457321466174}
• 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': '1.3339479508069128602568944308', 'prec': 100}, 'conductor': 798, 'gens': [], 'heights': [], 'lmfdb_label': '798.f2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.9304569994852660837420811742', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9304569994852660837420811741526078323', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[7, -4, 1]], 'xcoord_integral_points': [7]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [1, 0], '7': [1, 0], '19': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '798.f2'}
• ec_torsion_growth •

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

  
  
  • id: 37539
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '798.f2', 'torsion': [2, 2]}
  • id: 37540
    {'degree': 4, 'field': [4, 4, -10, -2, 1], 'lmfdb_label': '798.f2', 'torsion': [4]}
  • id: 37543
    {'degree': 8, 'field': [-2187, 0, -4248, 0, 162, 0, 0, 0, 1], 'lmfdb_label': '798.f2', 'torsion': [6]}
  • id: 37541
    {'degree': 8, 'field': [16, 0, 32, 0, -33, 0, 8, 0, 1], 'lmfdb_label': '798.f2', 'torsion': [2, 4]}
  • id: 37542
    {'degree': 8, 'field': [613, -378, -1188, 210, 461, -42, -48, 0, 1], 'lmfdb_label': '798.f2', 'torsion': [2, 4]}
  • id: 37544
    {'degree': 16, 'field': [587017, -8630180, 26020362, -682260, -27787762, 417664, 8570136, 110864, -1012317, -88472, 39216, 12752, 398, -396, -66, -4, 1], 'lmfdb_label': '798.f2', 'torsion': [8]}
  • id: 37545
    {'degree': 16, 'field': [1430016, 5727360, 4608360, -509628, -3759720, -3362760, -1296740, -54196, 108240, 30055, 1580, 219, 473, 91, -21, -4, 1], 'lmfdb_label': '798.f2', 'torsion': [2, 6]}
• 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: 10284
    {'conductor': 798, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '798.f2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10285
    {'conductor': 798, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '798.f2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 10286
    {'conductor': 798, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '798.f2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 10287
    {'conductor': 798, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '798.f2', 'prime': 19, '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: 1669670
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [913, 4, 230, 9], [1, 4, 0, 1], [1066, 1, 1063, 0], [1593, 4, 1592, 5], [422, 1, 587, 0], [1201, 400, 1196, 399]], 'adelic_image': '1596.12.0.?', 'conductor': 798, 'lmfdb_label': '798.f2', 'prime': 0}
  • id: 3680
    {'conductor': 798, 'elladic_image': '2.3.0.1', 'lmfdb_label': '798.f2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 798.f does not appear in ec_padic