Elliptic curve data - 326700.fh2

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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': '326700fh', 'Clabel': '326700fh1', 'Cnumber': 1, 'abc_quality': 0.8396384887826309, 'absD': 636645876570000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 66, 'ainvs': [0, 0, 0, -27225, -1231175], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 326700, 'degree': 1244160, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5472200735655207911702430850', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 137, 'isogeny_degrees': [1, 3], 'jinv': [4665600, 1331], 'lmfdb_iso': '326700.fh', 'lmfdb_label': '326700.fh2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -225, 925], 'min_quad_twist_disc': -11, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0-3.a.1.1', '33.8.0-3.a.1.1', '66.16.0-66.b.1.3'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.4872448446538638818951128708', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 81675], [3, 2, 12100], [5, 14, 13068], [11, 72, 2700]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.69390899933204046504887049811', 'prec': 107}, 'szpiro_ratio': 3.3275537041048326, '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, 4, 0, 0, 0, 0, 0, -2, 0, 0, 0, -3, 0, 4, 0], 'aplist': [0, 0, 0, 4, 0, -2, -3, 4, 6, -6, 5, 2, 3, -8, -6, -12, 6, 4, 5, -12, -2, 10, 9, 18, -1], 'class_deg': 3, 'class_size': 2, 'conductor': 326700, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '326700.fh', 'trace_hash': 1013872394246114191}
• 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': '0.045300366902589289607988670822', 'prec': 107}, 'conductor': 326700, 'gens': [[-51, 157, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.4872448446538638818951128708', 'prec': 100}], 'lmfdb_label': '326700.fh2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.37973701879780695686559518270', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.223837879548120001477303332283272579', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [-51]}
• lmfdb_label 326700.fh2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 13716268
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '326700.fh2', 'torsion': [3]}
  • id: 13716269
    {'degree': 3, 'field': [-15, -15, 0, 1], 'lmfdb_label': '326700.fh2', 'torsion': [2]}
  • id: 13716270
    {'degree': 6, 'field': [1, -3, -9, 23, -9, -3, 1], 'lmfdb_label': '326700.fh2', 'torsion': [2, 6]}
  • id: 13716271
    {'degree': 6, 'field': [135, -105, 30, 7, 2, -1, 1], 'lmfdb_label': '326700.fh2', 'torsion': [3]}
  • id: 13716273
    {'degree': 12, 'field': [36, 0, 2292, 0, 1036, 0, 503, 0, 111, 0, 17, 0, 1], 'lmfdb_label': '326700.fh2', 'torsion': [3, 3]}
  • id: 13716272
    {'degree': 12, 'field': [297, 0, -18684, 0, -40662, 0, -17694, 0, -999, 0, -6, 0, 1], 'lmfdb_label': '326700.fh2', 'torsion': [4]}
  • id: 13716274
    {'degree': 18, 'field': [-107783681147, -24231506121, 35952498252, 10377583728, -481703751, -437546151, -285372516, -7866369, 15574320, 10127, 150912, -118629, -19866, 6921, 351, 6, 0, -9, 1], 'lmfdb_label': '326700.fh2', 'torsion': [9]}
  • id: 13716275
    {'degree': 18, 'field': [27, 0, 0, 243, 0, 0, 9256, 0, 0, -2379, 0, 0, 652, 0, 0, -33, 0, 0, 1], 'lmfdb_label': '326700.fh2', 'torsion': [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: 8086960
    {'conductor': 326700, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '326700.fh2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 8086961
    {'conductor': 326700, 'conductor_valuation': 3, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '326700.fh2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 8086962
    {'conductor': 326700, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '326700.fh2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 8086963
    {'conductor': 326700, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '326700.fh2', '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: 3709929
    {'adelic_gens': [[61, 6, 60, 7], [1, 0, 6, 1], [4, 3, 9, 7], [3, 4, 8, 11], [14, 57, 1, 34], [1, 6, 0, 1], [53, 60, 27, 47]], 'adelic_image': '66.16.0.?', 'conductor': 326700, 'lmfdb_label': '326700.fh2', 'prime': 0}
  • id: 1139557
    {'conductor': 326700, 'elladic_image': '3.4.0.1', 'lmfdb_label': '326700.fh2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 326700.fh does not appear in ec_padic