Elliptic curve data - 304704.dt1

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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': '304704dt', 'Clabel': '304704dt2', 'Cnumber': 2, 'abc_quality': 0.8950584960350794, 'absD': 7482731170345648128, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 184, 'ainvs': [0, 0, 0, -666540, -162940464], 'analytic_rank': 0, 'bad_primes': [2, 3, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 304704, 'degree': 6488064, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3340795063791942995398901491', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 97, 'isogeny_degrees': [1, 2], 'jinv': [2315250, 529], 'lmfdb_iso': '304704.dt', 'lmfdb_label': '304704.dt1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -35, 62], 'min_quad_twist_disc': -552, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '92.6.0.?', '184.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 4761], [3, 6, 33856], [23, 288, 576]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.76493225171269124656885439067', 'prec': 107}, 'szpiro_ratio': 4.105707990826605, '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, 0, 0, 0, 0, 0, 4, 0, 0, 0, 6, 0, 2, 0, 0, 0, 6, 0, 6, 0], 'aplist': [0, 0, 0, 4, 6, 2, 6, 6, 0, -6, 0, -8, -6, 2, -8, 8, -4, -4, -2, -8, 6, 12, 10, 10, 18], 'class_deg': 2, 'class_size': 2, 'conductor': 304704, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '304704.dt', 'trace_hash': 1407356578774964946}
• 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': '0.0093895396477885225355306879728', 'prec': 110}, 'conductor': 304704, 'gens': [], 'heights': [], 'lmfdb_label': '304704.dt1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.16982949352658249751992018800', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4345437928506399206374460161374289870', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-276, 0, 1]], 'xcoord_integral_points': [-276]}
• lmfdb_label 304704.dt1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12876490
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '304704.dt1', 'torsion': [2, 2]}
  • id: 12876491
    {'degree': 4, 'field': [12, -9, 1, -1, 1], 'lmfdb_label': '304704.dt1', 'torsion': [4]}
  • id: 12876494
    {'degree': 8, 'field': [-1156923, 0, 100602, 0, -3726, 0, 0, 0, 1], 'lmfdb_label': '304704.dt1', 'torsion': [6]}
  • id: 12876493
    {'degree': 8, 'field': [82, -100, 361, -130, 57, -8, -5, -2, 1], 'lmfdb_label': '304704.dt1', 'torsion': [2, 4]}
  • id: 12876492
    {'degree': 8, 'field': [15129, 14328, -6192, -528, -242, -72, -16, 0, 1], 'lmfdb_label': '304704.dt1', 'torsion': [2, 4]}
  • id: 12876495
    {'degree': 16, 'field': [1212454, 1119864, 855324, -616792, -273887, 453772, -120630, -93364, 60861, -5504, -1056, -560, 299, 60, -22, -4, 1], 'lmfdb_label': '304704.dt1', 'torsion': [8]}
  • id: 12876496
    {'degree': 16, 'field': [49350625, 0, -48764452, 0, -2240684, 0, 728276, 0, 101926, 0, 4340, 0, 628, 0, -4, 0, 1], 'lmfdb_label': '304704.dt1', '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: 7545611
    {'conductor': 304704, 'conductor_valuation': 6, 'discriminant_valuation': 17, 'j_denominator_valuation': 0, 'kodaira_symbol': -11, 'lmfdb_label': '304704.dt1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7545612
    {'conductor': 304704, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '304704.dt1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7545613
    {'conductor': 304704, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '304704.dt1', 'prime': 23, '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: 3578854
    {'adelic_gens': [[2, 1, 91, 0], [1, 2, 2, 5], [25, 162, 160, 23], [3, 4, 8, 11], [181, 4, 180, 5], [1, 4, 0, 1], [97, 4, 10, 9], [1, 0, 4, 1]], 'adelic_image': '184.12.0.?', 'conductor': 304704, 'lmfdb_label': '304704.dt1', 'prime': 0}
  • id: 1072257
    {'conductor': 304704, 'elladic_image': '8.6.0.6', 'lmfdb_label': '304704.dt1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 304704.dt does not appear in ec_padic