Elliptic curve data - 3432.c1

Formats: - HTML - YAML - JSON - 2024-05-17T22:13:35.992553

• 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': '3432f', 'Clabel': '3432f2', 'Cnumber': 2, 'abc_quality': 0.8791170591572054, 'absD': 565373952, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1716, 'ainvs': [0, -1, 0, -528, -4356], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 3432, 'degree': 1536, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.45084929164060565407117774095', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [15927506500, 552123], 'lmfdb_iso': '3432.c', 'lmfdb_label': '3432.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -528, -4356], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.a.1', '572.6.0.?', '1716.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.12677335882601543710984902693', 'prec': 107}, 'szpiro_ratio': 3.737030423959117, '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, 0, -1, 0, 0, 0, 4, 0, 1, 0, -1, 0, -1, 0, 0, 0, 8, 0, 4, 0], 'aplist': [0, -1, 0, 4, -1, -1, 8, 4, 0, 4, 2, -2, -2, -2, 4, 6, 0, -10, 2, 0, -14, 10, 4, 16, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 3432, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '3432.c', 'trace_hash': 1354980684623306357}
• 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': '0.40587965349635080596973777588', 'prec': 103}, 'conductor': 3432, 'gens': [], 'heights': [], 'lmfdb_label': '3432.c1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.99792139839844312767762755892', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9958427967968862553552551178398164866', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-11, 0, 1]], 'xcoord_integral_points': [-11]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '11': [0, 0], '13': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '3432.c1'}
• ec_torsion_growth •

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

  
  
  • id: 178490
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '3432.c1', 'torsion': [2, 2]}
  • id: 178491
    {'degree': 4, 'field': [108, 0, 17, 0, 1], 'lmfdb_label': '3432.c1', 'torsion': [4]}
  • id: 178494
    {'degree': 8, 'field': [-432, 0, -272, 0, -72, 0, 0, 0, 1], 'lmfdb_label': '3432.c1', 'torsion': [6]}
  • id: 178492
    {'degree': 8, 'field': [1089, 0, -702, 0, 159, 0, -18, 0, 1], 'lmfdb_label': '3432.c1', 'torsion': [2, 4]}
  • id: 178493
    {'degree': 8, 'field': [10464, -2592, 2950, -730, 401, -46, 20, -4, 1], 'lmfdb_label': '3432.c1', 'torsion': [2, 4]}
  • id: 178496
    {'degree': 16, 'field': [729, 0, 3672, 0, 7960, 0, 2448, 0, -4914, 0, -1768, 0, -252, 0, 0, 0, 1], 'lmfdb_label': '3432.c1', 'torsion': [2, 6]}
  • id: 178495
    {'degree': 16, 'field': [136048896, 0, -104416128, 0, 21638988, 0, -1409688, 0, 311805, 0, 2868, 0, 1311, 0, 76, 0, 1], 'lmfdb_label': '3432.c1', 'torsion': [8]}
• 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: 62506
    {'conductor': 3432, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '3432.c1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 62507
    {'conductor': 3432, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '3432.c1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 62508
    {'conductor': 3432, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3432.c1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 62509
    {'conductor': 3432, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3432.c1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1686251
    {'adelic_gens': [[1, 0, 4, 1], [925, 4, 134, 9], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [937, 4, 158, 9], [1288, 433, 429, 1288], [1713, 4, 1712, 5], [574, 1, 571, 0]], 'adelic_image': '1716.12.0.?', 'conductor': 3432, 'lmfdb_label': '3432.c1', 'prime': 0}
  • id: 17134
    {'conductor': 3432, 'elladic_image': '2.3.0.1', 'lmfdb_label': '3432.c1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 3432.c does not appear in ec_padic