Elliptic curve data - 480240.e1

Formats: - HTML - YAML - JSON - 2024-05-12T07:56:50.260763

• 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': '480240e', 'Clabel': '480240e1', 'Cnumber': 1, 'abc_quality': 0.8822098691072361, 'absD': 4214334210048000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 26680, 'ainvs': [0, 0, 0, -45963, 2151738], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23, 29], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 480240, 'degree': 2661120, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6966987533233068045485072074', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1], 'jinv': [3596344921161, 1411372000], 'lmfdb_iso': '480240.e', 'lmfdb_label': '480240.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -319, 1325], 'min_quad_twist_disc': 12, 'modell_images': [], 'modm_images': ['26680.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.45424542842930664943365246748', 'prec': 103}, 'szpiro_ratio': 3.3496591381048266, '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, 0, 0, 0, -1, 0, -4, 0, 0, 0, 5, 0, -3, 0, 0, 0, 4, 0, -1, 0], 'aplist': [0, 0, -1, -4, 5, -3, 4, -1, -1, 1, 0, -5, -4, 2, 2, -10, -7, -2, -5, -8, 3, 4, 12, -3, 12], 'class_deg': 1, 'class_size': 1, 'conductor': 480240, 'isogeny_matrix': [[1]], 'lmfdb_iso': '480240.e', 'trace_hash': 1099708873039767667}
• 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': '0.033594345776110974766819458899', 'prec': 107}, 'conductor': 480240, 'gens': [], 'heights': [], 'lmfdb_label': '480240.e1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.39852004480551070590377274509', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.79704008961102141180754549018664406523', 'prec': 133}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 480240.e1 does not appear in ec_iwasawa
• lmfdb_label 480240.e1 does not appear in ec_torsion_growth
• 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: 11836008
    {'conductor': 480240, 'conductor_valuation': 4, 'discriminant_valuation': 17, 'j_denominator_valuation': 5, 'kodaira_symbol': -13, 'lmfdb_label': '480240.e1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 11836009
    {'conductor': 480240, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '480240.e1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 11836010
    {'conductor': 480240, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '480240.e1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11836011
    {'conductor': 480240, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '480240.e1', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11836012
    {'conductor': 480240, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '480240.e1', 'prime': 29, '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

  
  {'adelic_gens': [[16561, 2, 16561, 3], [1, 1, 26679, 0], [6671, 2, 6671, 3], [5801, 2, 5801, 3], [5337, 2, 5337, 3], [13341, 2, 13341, 3], [26679, 2, 26678, 3], [1, 0, 2, 1], [1, 2, 0, 1]], 'adelic_image': '26680.2.0.?', 'conductor': 480240, 'lmfdb_label': '480240.e1', 'prime': 0}
• lmfdb_iso 480240.e does not appear in ec_padic