Elliptic curve data - 185130.by1

Formats: - HTML - YAML - JSON - 2024-06-07T02:18:52.010220

• 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': '185130ev', 'Clabel': '185130ev1', 'Cnumber': 1, 'abc_quality': 0.9453968737945178, 'absD': 261916113620898000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 11220, 'ainvs': [1, -1, 0, -123624, -29738032], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 185130, 'degree': 2304000, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0355953838679587520595335284', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 50, 'isogeny_degrees': [1], 'jinv': [-4368317413923, 5475734000], 'lmfdb_iso': '185130.by', 'lmfdb_label': '185130.by1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -9195, -601579], 'min_quad_twist_disc': 33, 'modell_images': [], 'modm_images': ['11220.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0298330244971101697307481064', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56199467530174605717975043019', 'prec': 103}, 'szpiro_ratio': 3.952661768633172, '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, 1, 0, -1, -1, 0, -1, 0, 0, -1, 1, 0, 1, -1, 0, 7, 1], 'aplist': [-1, 0, 1, -1, 0, -1, -1, 7, -3, 8, -5, 5, 10, -2, 0, 10, -4, 9, -9, 4, 10, 2, -3, -12, -17], 'class_deg': 1, 'class_size': 1, 'conductor': 185130, 'isogeny_matrix': [[1]], 'lmfdb_iso': '185130.by', 'trace_hash': 1998927287674106234}
• 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': '0.017057065406684112146516175653', 'prec': 107}, 'conductor': 185130, 'gens': [[1004, 28780, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.0298330244971101697307481064', 'prec': 100}], 'lmfdb_label': '185130.by1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.12155471661874027936414457803', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.0086909499535892533486452382182982639', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [], 'xcoord_integral_points': [443, 1004]}
• lmfdb_label 185130.by1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8168617
    {'degree': 3, 'field': [-80, -16, -1, 1], 'lmfdb_label': '185130.by1', 'torsion': [2]}
  • id: 8168618
    {'degree': 6, 'field': [21030, -9390, 3001, -270, 28, 0, 1], 'lmfdb_label': '185130.by1', 'torsion': [2, 2]}
  • id: 8168619
    {'degree': 8, 'field': [-3296, 9077, -9188, 221, -107, -7, 7, -4, 1], 'lmfdb_label': '185130.by1', 'torsion': [3]}
  • id: 8168620
    {'degree': 12, 'field': [303683358, 609888573, 308840517, -7628799, -2924699, 3986285, 287537, -64141, -1685, 787, -49, -5, 1], 'lmfdb_label': '185130.by1', 'torsion': [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: 4580441
    {'conductor': 185130, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '185130.by1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4580442
    {'conductor': 185130, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '185130.by1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4580443
    {'conductor': 185130, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '185130.by1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 4580444
    {'conductor': 185130, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '185130.by1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4580445
    {'conductor': 185130, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '185130.by1', '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

  
  {'adelic_gens': [[8977, 2, 8977, 3], [3301, 2, 3301, 3], [1, 2, 0, 1], [1, 0, 2, 1], [1, 1, 11219, 0], [11219, 2, 11218, 3], [5611, 2, 5611, 3], [7141, 2, 7141, 3], [7481, 2, 7481, 3]], 'adelic_image': '11220.2.0.?', 'conductor': 185130, 'lmfdb_label': '185130.by1', 'prime': 0}
• lmfdb_iso 185130.by does not appear in ec_padic