Elliptic curve data - 8330.l1

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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': '8330d', 'Clabel': '8330d1', 'Cnumber': 1, 'abc_quality': 0.9887036529951482, 'absD': 800013200, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4760, 'ainvs': [1, 1, 0, -368, -2512], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 8330, 'degree': 5760, 'elladic_images': ['4.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.43366418609360337480163798217', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2], 'jinv': [47045881, 6800], 'lmfdb_iso': '8330.l', 'lmfdb_label': '8330.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -8, 6], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '34.6.0.a.1', '56.12.0-4.b.1.3', '68.12.0.e.1', '340.24.0.?', '952.24.0.?', '4760.48.0.?'], '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': False, 'serre_invariants': [[2, 4, 833], [5, 6, 1666], [7, 26, 170], [17, 18, 490]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.53929088843405327775103838955', 'prec': 107}, 'szpiro_ratio': 3.2502585266531634, '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, 2, 1, -1, -2, 0, -1, 1, 1, -2, 2, 6, 0, -2, 1, -1, -1, 8, -1], 'aplist': [-1, 2, -1, 0, -2, 6, -1, 8, -2, 6, 2, 6, -2, -4, -4, -10, 0, 10, 8, 14, -10, -14, 4, -6, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 8330, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '8330.l', 'trace_hash': 2240417660416031822}
• 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': '0.42007232834448648713324061350', 'prec': 103}, 'conductor': 8330, 'gens': [], 'heights': [], 'lmfdb_label': '8330.l1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.1001498772345107781825464480', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2002997544690215563650928959228555066', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-8, 4, 1]], 'xcoord_integral_points': [-8]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '5': [0, 0], '7': 'a', '17': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '8330.l1'}
• ec_torsion_growth •

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

  
  
  • id: 435370
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '8330.l1', 'torsion': [2, 2]}
  • id: 435371
    {'degree': 4, 'field': [53, -14, -3, 0, 1], 'lmfdb_label': '8330.l1', 'torsion': [4]}
  • id: 435373
    {'degree': 8, 'field': [169, 0, 225, 0, 4, 0, 1, 0, 1], 'lmfdb_label': '8330.l1', 'torsion': [2, 4]}
  • id: 435374
    {'degree': 8, 'field': [3980, -4852, 956, 116, 230, -94, 1, -2, 1], 'lmfdb_label': '8330.l1', 'torsion': [6]}
  • id: 435372
    {'degree': 8, 'field': [8836, 0, -7236, 0, 717, 0, -39, 0, 1], 'lmfdb_label': '8330.l1', 'torsion': [2, 4]}
  • id: 435376
    {'degree': 16, 'field': [16004, 13012, -14046, -5086, 17329, 5868, -3878, 1608, 238, -206, 274, -208, 134, -40, 12, -4, 1], 'lmfdb_label': '8330.l1', 'torsion': [8]}
  • id: 435377
    {'degree': 16, 'field': [96118416, 0, -36643824, 0, 4671264, 0, -643352, 0, 69716, 0, -7592, 0, 589, 0, -34, 0, 1], 'lmfdb_label': '8330.l1', 'torsion': [2, 6]}
  • id: 435375
    {'degree': 16, 'field': [249450436, 0, 191256744, 0, 46829601, 0, 6603624, 0, 721284, 0, 51926, 0, 2608, 0, 80, 0, 1], 'lmfdb_label': '8330.l1', 'torsion': [4, 4]}
• 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: 173276
    {'conductor': 8330, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '8330.l1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 173277
    {'conductor': 8330, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '8330.l1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 173278
    {'conductor': 8330, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '8330.l1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 173279
    {'conductor': 8330, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '8330.l1', 'prime': 17, '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: 1719055
    {'adelic_gens': [[1639, 686, 1218, 4075], [1, 0, 8, 1], [1191, 4088, 4424, 2073], [1, 8, 0, 1], [4166, 4081, 1463, 2724], [1, 4, 4, 17], [4753, 8, 4752, 9], [3399, 0, 0, 4759], [3, 8, 28, 75], [2381, 4088, 2044, 2073], [5, 8, 48, 77]], 'adelic_image': '4760.48.0.?', 'conductor': 8330, 'lmfdb_label': '8330.l1', 'prime': 0}
  • id: 40784
    {'conductor': 8330, 'elladic_image': '4.6.0.3', 'lmfdb_label': '8330.l1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 8330.l does not appear in ec_padic