Elliptic curve data - 119025.l2

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

  
  {'Ciso': '119025cw', 'Clabel': '119025cw2', 'Cnumber': 2, 'abc_quality': 1.131038420174359, 'absD': 10243794386204296875, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 690, 'ainvs': [0, 0, 1, 198375, 150186406], 'analytic_rank': 0, 'bad_primes': [3, 5, 23], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 119025, 'degree': 2851200, 'elladic_images': ['5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3286738744210070637161867697', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 11, 'isogeny_degrees': [1, 5], 'jinv': [20480, 243], 'lmfdb_iso': '119025.l', 'lmfdb_label': '119025.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 2, 4], 'min_quad_twist_disc': 345, 'modell_images': ['5B.4.1'], 'modm_images': ['5.12.0.a.1', '6.2.0.a.1', '30.24.1.d.1', '230.24.0.?', '345.24.0.?', '690.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.86133798616702287711865182015', 'prec': 107}, 'szpiro_ratio': 4.379013614253445, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -2, 0, 2, 0, 0, 3, 0, 0, 0, 2, 0, 1, -6, 0, -4, 2, 0, 5, 0], 'aplist': [-2, 0, 0, 3, 2, 1, 2, 5, 0, -10, -3, -2, 8, -1, -2, -4, 10, -7, 3, 8, -14, 0, 6, 0, -17], 'class_deg': 5, 'class_size': 2, 'conductor': 119025, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '119025.l', 'trace_hash': 1546090454395859667}
• 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': '0.0094916031626458540335942405058', 'prec': 110}, 'conductor': 119025, 'gens': [], 'heights': [], 'lmfdb_label': '119025.l2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.16884596718979351365835049545', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3507677375183481092668039635800793336', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 's?', '3': 'a', '5': 'a', '7': [0, 0], '11': [0, 0], '13': [2, 0], '17': [0, 0], '19': [0, 0], '23': 'a', '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '119025.l2'}
• ec_torsion_growth •

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

  
  
  • id: 5449809
    {'degree': 2, 'field': [-86, -1, 1], 'lmfdb_label': '119025.l2', 'torsion': [5]}
  • id: 5449810
    {'degree': 3, 'field': [-3, -3, -1, 1], 'lmfdb_label': '119025.l2', 'torsion': [2]}
  • id: 5449812
    {'degree': 6, 'field': [-2334, -1446, -320, 55, -25, -1, 1], 'lmfdb_label': '119025.l2', 'torsion': [10]}
  • id: 5449811
    {'degree': 6, 'field': [3, 3, -2, -3, 4, -3, 1], 'lmfdb_label': '119025.l2', 'torsion': [2, 2]}
  • id: 5449813
    {'degree': 8, 'field': [-29455, -1225, 940, -548, 772, -40, -37, -1, 1], 'lmfdb_label': '119025.l2', 'torsion': [3]}
  • id: 5449814
    {'degree': 12, 'field': [-6465678, 5227032, 3088228, -3009176, -262138, 156004, 46108, -7920, -1022, 46, 44, -2, 1], 'lmfdb_label': '119025.l2', 'torsion': [4]}
  • id: 5449815
    {'degree': 12, 'field': [5447556, 3374964, 1344036, 719460, 123580, -87566, -11089, -3461, 1000, -85, 26, -1, 1], 'lmfdb_label': '119025.l2', 'torsion': [2, 10]}
  • id: 5449816
    {'degree': 16, 'field': [1560001, -8017331, -20022763, 1655741, 15812821, 1312035, -3456407, -805277, 222509, 44819, -13073, -915, 481, -77, 23, -7, 1], 'lmfdb_label': '119025.l2', 'torsion': [15]}
  • id: 5449817
    {'degree': 20, 'field': [197937217350601, 135877532875630, 55363121788235, 13955354722935, 936835592060, -671549925299, -321755685770, -83104378425, -9108013705, -42513375, 518847006, 97208950, 19328195, 955005, 183145, -11579, 4690, -230, 90, -5, 1], 'lmfdb_label': '119025.l2', 'torsion': [5]}
• 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: 2930920
    {'conductor': 119025, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '119025.l2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2930921
    {'conductor': 119025, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '119025.l2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2930922
    {'conductor': 119025, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '119025.l2', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 2441720
    {'adelic_gens': [[689, 230, 0, 413], [6, 13, 635, 571], [681, 10, 680, 11], [1, 0, 10, 1], [1, 10, 0, 1], [114, 115, 115, 574], [179, 0, 0, 689]], 'adelic_image': '690.48.1.?', 'conductor': 119025, 'lmfdb_label': '119025.l2', 'prime': 0}
  • id: 468550
    {'conductor': 119025, 'elladic_image': '5.12.0.1', 'lmfdb_label': '119025.l2', 'modell_image': '5B.4.1', 'prime': 5}
• lmfdb_iso 119025.l does not appear in ec_padic