Elliptic curve data - 346560.x2

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• 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': '346560x', 'Clabel': '346560x1', 'Cnumber': 1, 'abc_quality': 1.066433775848059, 'absD': 26712834898919424000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1140, 'ainvs': [0, -1, 0, -404801, -267563199], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 346560, 'degree': 6635520, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4134322705056397971557956837', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2], 'jinv': [-594823321, 2166000], 'lmfdb_iso': '346560.x', 'lmfdb_label': '346560.x2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -17, 69], 'min_quad_twist_disc': -152, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '30.6.0.a.1', '76.6.0.?', '1140.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 5415], [3, 4, 23104], [5, 6, 69312], [19, 200, 960]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.098507989917498396974566214432', 'prec': 110}, 'szpiro_ratio': 4.102748591056112, '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, -1, 0, -2, 0, 1, 0, 2, 0, 0, 0, 1, 0, -2, 0, 0, 0], 'aplist': [0, -1, -1, -2, 2, 0, -2, 0, -8, 0, 0, 4, 8, 6, -8, -10, -8, -2, 0, -8, -2, 8, 16, -16, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 346560, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '346560.x', 'trace_hash': 1839373752632193491}
• 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': '0.0080116019750672804288782714511', 'prec': 110}, 'conductor': 346560, 'gens': [], 'heights': [], 'lmfdb_label': '346560.x2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.086731710935654266817435115644', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.34692684374261706726974046257740065277', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[849, 0, 1]], 'xcoord_integral_points': [849]}
• lmfdb_label 346560.x2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14470801
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '346560.x2', 'torsion': [2, 2]}
  • id: 14470802
    {'degree': 4, 'field': [-135, 0, -12, 0, 1], 'lmfdb_label': '346560.x2', 'torsion': [4]}
  • id: 14470805
    {'degree': 8, 'field': [-277248, 0, -40736, 0, -1824, 0, 0, 0, 1], 'lmfdb_label': '346560.x2', 'torsion': [6]}
  • id: 14470804
    {'degree': 8, 'field': [3600, 0, -240, 0, 169, 0, 4, 0, 1], 'lmfdb_label': '346560.x2', 'torsion': [2, 4]}
  • id: 14470803
    {'degree': 8, 'field': [40696, 11968, -10009, -3836, 1714, 242, -76, -4, 1], 'lmfdb_label': '346560.x2', 'torsion': [2, 4]}
  • id: 14470806
    {'degree': 16, 'field': [825246, 433200, 1168196, 27125540, -4670960, -9564600, 3582374, 520980, -442981, 104500, 2214, -6460, 900, 0, -24, 0, 1], 'lmfdb_label': '346560.x2', 'torsion': [8]}
  • id: 14470807
    {'degree': 16, 'field': [25544631040, -13014137600, 16140805344, -6539132160, 3991620960, -887586816, 330892672, -29673632, 6955425, 343320, -102852, 18024, -2458, -280, 60, -8, 1], 'lmfdb_label': '346560.x2', 'torsion': [2, 6]}
• 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: 8575556
    {'conductor': 346560, 'conductor_valuation': 6, 'discriminant_valuation': 22, 'j_denominator_valuation': 4, 'kodaira_symbol': -16, 'lmfdb_label': '346560.x2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 8575557
    {'conductor': 346560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '346560.x2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8575558
    {'conductor': 346560, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '346560.x2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8575559
    {'conductor': 346560, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '346560.x2', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 3828308
    {'adelic_gens': [[781, 4, 422, 9], [1, 2, 2, 5], [1, 4, 0, 1], [289, 856, 284, 855], [1137, 4, 1136, 5], [1, 0, 4, 1], [382, 1, 379, 0], [3, 4, 8, 11], [914, 1, 683, 0]], 'adelic_image': '1140.12.0.?', 'conductor': 346560, 'lmfdb_label': '346560.x2', 'prime': 0}
  • id: 1200461
    {'conductor': 346560, 'elladic_image': '2.3.0.1', 'lmfdb_label': '346560.x2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 346560.x does not appear in ec_padic