Elliptic curve data - 374400.hs1

Formats: - HTML - YAML - JSON - 2025-09-21T08:47:03.721596

• 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': '374400hs', 'Clabel': '374400hs1', 'Cnumber': 1, 'abc_quality': 1.0758246334864414, 'absD': 739951212048750000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 312, 'ainvs': [0, 0, 0, -56128125, -161857606250], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 374400, 'degree': 30643200, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0904053654311508397647411313', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 200, 'isogeny_degrees': [1], 'jinv': [-21459903980300000, 812017791], 'lmfdb_iso': '374400.hs', 'lmfdb_label': '374400.hs1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -249458, 48040962], 'min_quad_twist_disc': -15, 'modell_images': [], 'modm_images': ['312.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 2925], [3, 8, 41600], [5, 2, 1152], [13, 14, 28800]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.79556510540871091807310033097', 'prec': 103}, 'szpiro_ratio': 5.076186779920499, '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, 0, 0, 2, 0, 0, 0, -4, 0, 1, 0, 0, 0, -6, 0, 5, 0], 'aplist': [0, 0, 0, 2, -4, 1, -6, 5, 6, -1, -10, 3, 7, -8, 7, 3, 6, -2, -9, 9, 10, -1, 12, -2, 14], 'class_deg': 1, 'class_size': 1, 'conductor': 374400, 'isogeny_matrix': [[1]], 'lmfdb_iso': '374400.hs', 'trace_hash': 236027807926796479}
• 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': '0.0020687499751265901446831684454', 'prec': 110}, 'conductor': 374400, 'gens': [], 'heights': [], 'lmfdb_label': '374400.hs1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.027578677697086708669081608469', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2062942157669366935265286774806421788', 'prec': 130}, 'tamagawa_product': 20, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 374400.hs1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15529224
    {'degree': 3, 'field': [-33, -3, -1, 1], 'lmfdb_label': '374400.hs1', 'torsion': [2]}
  • id: 15529225
    {'degree': 6, 'field': [1296, 1728, 726, 132, 31, -2, 1], 'lmfdb_label': '374400.hs1', 'torsion': [2, 2]}
  • id: 15529226
    {'degree': 8, 'field': [-43200, 0, 128640, 0, -720, 0, 0, 0, 1], 'lmfdb_label': '374400.hs1', 'torsion': [3]}
  • id: 15529227
    {'degree': 12, 'field': [-10022049, 4994784, -385596, 28620, 202105, 46904, -4784, 896, -485, -40, 4, -4, 1], 'lmfdb_label': '374400.hs1', '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: 9264980
    {'conductor': 374400, 'conductor_valuation': 7, 'discriminant_valuation': 7, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '374400.hs1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 9264981
    {'conductor': 374400, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '374400.hs1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9264982
    {'conductor': 374400, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '374400.hs1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9264983
    {'conductor': 374400, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '374400.hs1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
• 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': [[145, 2, 145, 3], [311, 2, 310, 3], [1, 1, 311, 0], [79, 2, 0, 1], [209, 2, 209, 3], [1, 0, 2, 1], [1, 2, 0, 1], [157, 2, 157, 3]], 'adelic_image': '312.2.0.?', 'conductor': 374400, 'lmfdb_label': '374400.hs1', 'prime': 0}
• lmfdb_iso 374400.hs does not appear in ec_padic