Elliptic curve data - 17550.dg2

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '17550bw', 'Clabel': '17550bw1', 'Cnumber': 1, 'abc_quality': 0.9483977814657861, 'absD': 11863800, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1560, 'ainvs': [1, -1, 1, 55, -63], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 17550, 'degree': 7128, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.046419669197562192310548221390', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 84, 'isogeny_degrees': [1, 3], 'jinv': [27726165, 17576], 'lmfdb_iso': '17550.dg', 'lmfdb_label': '17550.dg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 498, 1196], 'min_quad_twist_disc': -3, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '15.8.0-3.a.1.2', '312.8.0.?', '1560.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 8775], [3, 6, 25], [5, 10, 702], [13, 14, 1350]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.49647305504181529297172297671', 'prec': 107}, 'szpiro_ratio': 2.4202457294569415, '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, 1, 0, 1, 0, 0, 4, 1, 0, 0, -6, 0, -1, 4, 0, 1, -6, 0, 5, 0], 'aplist': [1, 0, 0, 4, -6, -1, -6, 5, 6, 9, -4, -2, -9, -2, 9, 9, 0, 8, 13, 0, 4, -16, -6, 15, -8], 'class_deg': 3, 'class_size': 2, 'conductor': 17550, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '17550.dg', 'trace_hash': 1843909410239204114}
• 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': '0.91133990586681241762458084810', 'prec': 103}, 'conductor': 17550, 'gens': [], 'heights': [], 'lmfdb_label': '17550.dg2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.2975131420133170063346451813', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.8925394260399510190039355439354638069', 'prec': 130}, 'tamagawa_product': 3, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [8, 0], '3': 'a', '5': 'a', '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '17550.dg2'}
• ec_torsion_growth •

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

  
  
  • id: 897755
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '17550.dg2', 'torsion': [3]}
  • id: 897756
    {'degree': 3, 'field': [-80, 30, 0, 1], 'lmfdb_label': '17550.dg2', 'torsion': [2]}
  • id: 897759
    {'degree': 6, 'field': [-8820, 0, 225, 0, -30, 0, 1], 'lmfdb_label': '17550.dg2', 'torsion': [6]}
  • id: 897758
    {'degree': 6, 'field': [4, 12, 15, -5, 0, -3, 1], 'lmfdb_label': '17550.dg2', 'torsion': [3]}
  • id: 897757
    {'degree': 6, 'field': [9438, 0, 4317, 0, -24, 0, 1], 'lmfdb_label': '17550.dg2', 'torsion': [2, 2]}
  • id: 897760
    {'degree': 12, 'field': [-1200066, -4495410, -4361823, -423720, -284385, -11160, -15300, -720, 2370, -30, -93, 0, 1], 'lmfdb_label': '17550.dg2', 'torsion': [4]}
  • id: 897761
    {'degree': 12, 'field': [4, -42, 177, -400, 585, -642, 551, -366, 195, -80, 27, -6, 1], 'lmfdb_label': '17550.dg2', 'torsion': [3, 3]}
  • id: 897762
    {'degree': 12, 'field': [11923209, 0, -6789888, 0, 1128060, 0, 6150, 0, 1380, 0, 12, 0, 1], 'lmfdb_label': '17550.dg2', 'torsion': [2, 6]}
  • id: 897763
    {'degree': 18, 'field': [-961, -23886, -167130, -435522, 713190, 47214, -189766, -416550, 547758, 4770, -147240, 26100, -2115, 3270, -270, -112, -12, 0, 1], 'lmfdb_label': '17550.dg2', 'torsion': [9]}
  • id: 897764
    {'degree': 18, 'field': [55158144, 8841312, -8567136, -35565228, 10670310, 1696752, 2169531, -762813, 411531, -160650, -6441, -13893, 4584, 537, 285, -78, -9, -3, 1], 'lmfdb_label': '17550.dg2', 'torsion': [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: 392288
    {'conductor': 17550, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '17550.dg2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 392289
    {'conductor': 17550, 'conductor_valuation': 3, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '17550.dg2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 392290
    {'conductor': 17550, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '17550.dg2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 392291
    {'conductor': 17550, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '17550.dg2', 'prime': 13, '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: 1780938
    {'adelic_gens': [[4, 3, 9, 7], [391, 6, 0, 1], [1251, 2, 10, 7], [1555, 6, 1554, 7], [846, 721, 523, 1254], [1081, 6, 123, 19], [781, 6, 783, 19], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '1560.16.0.?', 'conductor': 17550, 'lmfdb_label': '17550.dg2', 'prime': 0}
  • id: 82175
    {'conductor': 17550, 'elladic_image': '3.4.0.1', 'lmfdb_label': '17550.dg2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 17550.dg does not appear in ec_padic