Elliptic curve data - 432960.t2

Formats: - HTML - YAML - JSON - 2026-05-31T22:27:59.129254

• 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '432960t', 'Clabel': '432960t1', 'Cnumber': 1, 'abc_quality': 1.0141527597528714, 'absD': 2210261250929615136000000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 54120, 'ainvs': [0, -1, 0, 281437679, 1346696656945], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 41], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 432960, 'degree': 217728000, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9342963897800784317329735124', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 3], 'jinv': [150470198145383828085247664, 134903640803809517578125], 'lmfdb_iso': '432960.t', 'lmfdb_label': '432960.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 70359420, 168372261828], 'min_quad_twist_disc': 8, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.2', '27060.8.0.?', '54120.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 6765], [3, 4, 28864], [5, 6, 7872], [7, 2, 144320], [11, 12, 39360], [41, 42, 10560]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.1256246791268089040795360374', 'prec': 100}, 'szpiro_ratio': 5.392025553294436, '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, -1, 0, -1, 0, -1, 0, 1, 0, 1, 0, 4, 0, 1, 0, 3, 0, -2, 0], 'aplist': [0, -1, -1, -1, 1, 4, 3, -2, 6, 0, -4, 10, -1, -8, -3, -12, 9, 4, -2, 6, 17, -10, 9, 6, 17], 'class_deg': 3, 'class_size': 2, 'conductor': 432960, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '432960.t', 'trace_hash': 1556683686228379390}
• 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': '0.00038257234720622598626064175870', 'prec': 113}, 'conductor': 432960, 'gens': [], 'heights': [], 'lmfdb_label': '432960.t2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.030146482292937022748548259928', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4117185834349618198838607942069523482', 'prec': 130}, 'tamagawa_product': 20, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 432960.t2 does not appear in ec_iwasawa
• lmfdb_label 432960.t2 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: 10692460
    {'conductor': 432960, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '432960.t2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 10692461
    {'conductor': 432960, 'conductor_valuation': 1, 'discriminant_valuation': 21, 'j_denominator_valuation': 21, 'kodaira_symbol': 25, 'lmfdb_label': '432960.t2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 10692462
    {'conductor': 432960, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '432960.t2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 10692463
    {'conductor': 432960, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '432960.t2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 10692464
    {'conductor': 432960, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '432960.t2', 'prime': 41, '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: 4336053
    {'adelic_gens': [[40589, 54114, 40587, 54101], [21121, 6, 9243, 19], [15786, 11281, 18043, 2274], [54115, 6, 54114, 7], [19681, 6, 4923, 19], [27065, 54114, 27066, 54113], [1, 6, 0, 1], [37883, 54114, 32469, 54101], [4, 3, 9, 7], [27059, 0, 0, 54119], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '54120.16.0.?', 'conductor': 432960, 'lmfdb_label': '432960.t2', 'prime': 0}
  • id: 1455785
    {'conductor': 432960, 'elladic_image': '3.4.0.1', 'lmfdb_label': '432960.t2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 432960.t does not appear in ec_padic