Elliptic curve data - 65340.w1

Formats: - HTML - YAML - JSON - 2026-06-07T12:01:21.722744

• 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': '65340bh', 'Clabel': '65340bh2', 'Cnumber': 2, 'abc_quality': 1.1514167254781673, 'absD': 627653432934000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 330, 'ainvs': [0, 0, 0, -62073, 6073353], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 65340, 'degree': 349920, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6257418553751795645514813870', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1, 3], 'jinv': [-5267712, 125], 'lmfdb_iso': '65340.w', 'lmfdb_label': '65340.w1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -513, -4563], 'min_quad_twist_disc': -11, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '30.8.0.b.1', '33.8.0-3.a.1.1', '330.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 16335], [3, 4, 484], [5, 6, 13068], [11, 62, 540]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.81131610582308802773087590965', 'prec': 107}, 'szpiro_ratio': 4.037209002625328, '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, 0, 0, 4, 0, 0, 0, 3, 0, 7, 0], 'aplist': [0, 0, -1, 4, 0, 4, 3, 7, -9, 0, -7, 2, -6, -2, 0, 9, -12, 7, 2, 6, -2, 1, -9, -6, 8], 'class_deg': 3, 'class_size': 2, 'conductor': 65340, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '65340.w', 'trace_hash': 1499395865539017324}
• 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': '0.038716720780349476386629855376', 'prec': 107}, 'conductor': 65340, 'gens': [], 'heights': [], 'lmfdb_label': '65340.w1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.51273614985674852727299919905', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0764168991404911636379951942975901400', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [0, 0], '7': [0, 0], '11': 'a', '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0, 0]}, 'iwp0': 0, 'lmfdb_label': '65340.w1'}
• ec_torsion_growth •

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

  
  
  • id: 3117810
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '65340.w1', 'torsion': [3]}
  • id: 3117811
    {'degree': 3, 'field': [-1, 3, 0, 1], 'lmfdb_label': '65340.w1', 'torsion': [2]}
  • id: 3117812
    {'degree': 6, 'field': [1, -3, 3, -1, 3, -3, 1], 'lmfdb_label': '65340.w1', 'torsion': [2, 2]}
  • id: 3117814
    {'degree': 6, 'field': [37, -132, 72, 7, -6, -3, 1], 'lmfdb_label': '65340.w1', 'torsion': [6]}
  • id: 3117813
    {'degree': 6, 'field': [267, -207, 0, 5, 12, -3, 1], 'lmfdb_label': '65340.w1', 'torsion': [3]}
  • id: 3117815
    {'degree': 12, 'field': [-452843, 489126, 30612, -27374, -11577, -12900, 7416, 708, -813, 94, 12, -6, 1], 'lmfdb_label': '65340.w1', 'torsion': [4]}
  • id: 3117816
    {'degree': 12, 'field': [993, -3690, 3933, -1050, 2070, -2250, 1465, -726, 330, -110, 33, -6, 1], 'lmfdb_label': '65340.w1', 'torsion': [3, 3]}
  • id: 3117817
    {'degree': 12, 'field': [11449, -8667, -4629, 3670, 3156, -2229, -294, 255, 105, -29, -12, 0, 1], 'lmfdb_label': '65340.w1', 'torsion': [2, 6]}
  • id: 3117819
    {'degree': 18, 'field': [80375, -264195, 509355, -659358, 709380, -674334, 531678, -355734, 209907, -111975, 54351, -24030, 9756, -3492, 1116, -288, 63, -9, 1], 'lmfdb_label': '65340.w1', 'torsion': [6]}
  • id: 3117818
    {'degree': 18, 'field': [218703, 6885, -724254, 16080, 864435, -126555, -454118, 160755, 105796, -65555, -14216, 8625, 1842, -1555, 51, 70, 4, -5, 1], 'lmfdb_label': '65340.w1', 'torsion': [9]}
• 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: 1578147
    {'conductor': 65340, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '65340.w1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 1578148
    {'conductor': 65340, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '65340.w1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1578149
    {'conductor': 65340, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '65340.w1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1578150
    {'conductor': 65340, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '65340.w1', 'prime': 11, 'reduction_type': 0, '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: 2096693
    {'adelic_gens': [[4, 3, 9, 7], [67, 66, 231, 199], [119, 0, 0, 329], [54, 209, 77, 186], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1], [325, 6, 324, 7]], 'adelic_image': '330.16.0.?', 'conductor': 65340, 'lmfdb_label': '65340.w1', 'prime': 0}
  • id: 273776
    {'conductor': 65340, 'elladic_image': '3.4.0.1', 'lmfdb_label': '65340.w1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 65340.w does not appear in ec_padic