Elliptic curve data - 355740.e1

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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': '355740e', 'Clabel': '355740e2', 'Cnumber': 2, 'abc_quality': 1.0127759004735482, 'absD': 16235336113920, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 220, 'ainvs': [0, -1, 0, -12756, -515304], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 355740, 'degree': 829440, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2821311868285093085134705397', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [5726576, 405], 'lmfdb_iso': '355740.e', 'lmfdb_label': '355740.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -260, 1428], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.e.1', '44.6.0.c.1', '220.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.5617138705681993632439413011', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2695], [3, 4, 118580], [5, 6, 71148], [7, 26, 7260], [11, 42, 2940]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.75239582627203685299951314082', 'prec': 107}, 'szpiro_ratio': 3.127452040086617, '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, 0, 0, 1, 0, 0, 0, -6, 0, 1, 0, -2, 0, 4, 0], 'aplist': [0, -1, -1, 0, 0, -6, -2, 4, 0, 0, 0, 6, 0, 2, -8, 2, -4, 12, 4, 0, 14, 4, -14, -6, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 355740, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '355740.e', 'trace_hash': 1538693489697204687}
• 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': '0.076975939987072143436615173037', 'prec': 107}, 'conductor': 355740, 'gens': [[525, 1863, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '5.5617138705681993632439413011', 'prec': 100}], 'lmfdb_label': '355740.e1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.45123159648866851078863535151', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.0192420580593209201716127602521158789', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-51, 0, 1]], 'xcoord_integral_points': [-51]}
• lmfdb_label 355740.e1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14826922
    {'degree': 2, 'field': [-55, 0, 1], 'lmfdb_label': '355740.e1', 'torsion': [2, 2]}
  • id: 14826923
    {'degree': 4, 'field': [2695, 0, 77, 0, 1], 'lmfdb_label': '355740.e1', 'torsion': [4]}
  • id: 14826926
    {'degree': 8, 'field': [-177316, -158038, -45805, 2956, 1165, 364, -5, -2, 1], 'lmfdb_label': '355740.e1', 'torsion': [6]}
  • id: 14826924
    {'degree': 8, 'field': [119641, 176440, 99782, 15620, -5476, -1980, -162, 0, 1], 'lmfdb_label': '355740.e1', 'torsion': [2, 4]}
  • id: 14826925
    {'degree': 8, 'field': [715716, 724176, 56048, -71456, 4478, 308, -8, -2, 1], 'lmfdb_label': '355740.e1', 'torsion': [2, 4]}
  • id: 14826927
    {'degree': 16, 'field': [3952115773, -11033478800, 39692969530, -10042615988, 1806899612, -504501416, 56470836, 43682956, -9402805, -1394128, 899496, -170488, 21992, -1996, 130, -4, 1], 'lmfdb_label': '355740.e1', 'torsion': [8]}
  • id: 14826928
    {'degree': 16, 'field': [668715062500, 0, -37954119500, 0, -989623100, 0, 32136225, 0, -4225050, 0, 34485, 0, 2845, 0, -110, 0, 1], 'lmfdb_label': '355740.e1', '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: 8805661
    {'conductor': 355740, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '355740.e1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 8805662
    {'conductor': 355740, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '355740.e1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8805663
    {'conductor': 355740, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '355740.e1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8805664
    {'conductor': 355740, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '355740.e1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8805665
    {'conductor': 355740, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '355740.e1', '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: 3883392
    {'adelic_gens': [[134, 1, 43, 0], [1, 2, 2, 5], [217, 4, 216, 5], [56, 169, 165, 56], [3, 4, 8, 11], [1, 4, 0, 1], [184, 1, 119, 0], [1, 0, 4, 1]], 'adelic_image': '220.12.0.?', 'conductor': 355740, 'lmfdb_label': '355740.e1', 'prime': 0}
  • id: 1228453
    {'conductor': 355740, 'elladic_image': '2.3.0.1', 'lmfdb_label': '355740.e1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 355740.e does not appear in ec_padic