Elliptic curve data - 390.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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '390c', 'Clabel': '390c2', 'Cnumber': 2, 'abc_quality': 0.9529644067700619, 'absD': 4928040, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1560, 'ainvs': [1, 0, 0, -206, 1116], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 390, 'degree': 96, 'elladic_images': ['2.3.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.13051706814790054815833225018', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [967068262369, 4928040], 'lmfdb_iso': '390.g', 'lmfdb_label': '390.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -206, 1116], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '6.24.0-6.a.1.4', '40.6.0.b.1', '120.48.0.?', '156.48.0.?', '1560.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.13051706814790054815833225018', 'prec': 103}, 'szpiro_ratio': 4.625688258861615, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
• 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, -1, 1, 2, 1, 1, -1, 0, 1, 1, 2, -1, 1, 0, 1, 2, -1], 'aplist': [1, 1, -1, 2, 0, 1, 0, 2, -6, 0, -4, 2, -6, -4, 0, -6, 0, -10, 8, 0, 8, 8, -12, 6, 8], 'class_deg': 6, 'class_size': 4, 'conductor': 390, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '390.g', 'trace_hash': 908853402552636287}
• 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': '0.77025462552655116666355882115', 'prec': 103}, 'conductor': 390, 'gens': [], 'heights': [], 'lmfdb_label': '390.g2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '2.4442145216792889037619669682', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4442145216792889037619669681794788503', 'prec': 130}, 'tamagawa_product': 36, 'torsion_generators': [[-2, 40, 1]], 'xcoord_integral_points': [-2, 10]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [1, 0], '5': [0, 0], '13': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '390.g2'}
• ec_torsion_growth •

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

  
  
  • id: 16904
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '390.g2', 'torsion': [2, 6]}
  • id: 16905
    {'degree': 4, 'field': [40, 0, -2, 0, 1], 'lmfdb_label': '390.g2', 'torsion': [12]}
  • id: 16906
    {'degree': 6, 'field': [144, 264, 496, -46, -21, -1, 1], 'lmfdb_label': '390.g2', 'torsion': [3, 6]}
  • id: 16908
    {'degree': 8, 'field': [1600, 0, -1600, 0, 390, 0, -40, 0, 1], 'lmfdb_label': '390.g2', 'torsion': [2, 12]}
  • id: 16907
    {'degree': 8, 'field': [34506, -21708, 8946, -1944, 483, -48, 34, -4, 1], 'lmfdb_label': '390.g2', 'torsion': [2, 12]}
  • id: 16909
    {'degree': 9, 'field': [351, -1755, -1638, -812, 564, 114, -10, -12, -3, 1], 'lmfdb_label': '390.g2', 'torsion': [18]}
  • id: 16910
    {'degree': 12, 'field': [230400, 0, 67200, 0, 14800, 0, 2360, 0, 240, 0, -10, 0, 1], 'lmfdb_label': '390.g2', 'torsion': [6, 6]}
  • id: 16911
    {'degree': 16, 'field': [2560000, 0, -512000, 0, 918400, 0, -588800, 0, 141640, 0, -14720, 0, 574, 0, -8, 0, 1], 'lmfdb_label': '390.g2', 'torsion': [24]}
  • id: 16912
    {'degree': 18, 'field': [-25600000, 0, 23040000, 0, -10368000, 0, 4334400, 0, -1382400, 0, 273600, 0, -32730, 0, 2340, 0, -90, 0, 1], 'lmfdb_label': '390.g2', 'torsion': [2, 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: 3949
    {'conductor': 390, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '390.g2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 3950
    {'conductor': 390, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '390.g2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 3951
    {'conductor': 390, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '390.g2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3952
    {'conductor': 390, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '390.g2', 'prime': 13, 'reduction_type': 1, '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: 1667470
    {'adelic_gens': [[10, 3, 1221, 1552], [10, 3, 753, 1552], [1081, 12, 246, 73], [1, 0, 12, 1], [1, 6, 6, 37], [1, 12, 0, 1], [1549, 12, 1548, 13], [75, 328, 38, 317], [11, 2, 1510, 1551], [1049, 2, 264, 1]], 'adelic_image': '1560.96.1.?', 'conductor': 390, 'lmfdb_label': '390.g2', 'prime': 0}
  • id: 1652
    {'conductor': 390, 'elladic_image': '2.3.0.1', 'lmfdb_label': '390.g2', 'modell_image': '2B', 'prime': 2}
  • id: 1653
    {'conductor': 390, 'elladic_image': '3.8.0.1', 'lmfdb_label': '390.g2', 'modell_image': '3B.1.1', 'prime': 3}
• lmfdb_iso 390.g does not appear in ec_padic