Elliptic curve data - 158400.i1

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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': '158400id', 'Clabel': '158400id2', 'Cnumber': 2, 'abc_quality': 0.893874279524514, 'absD': 794868940800000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 264, 'ainvs': [0, 0, 0, -331500, 85070000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 158400, 'degree': 2488320, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1578220466834073976459660855', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 8, 'isogeny_degrees': [1, 3], 'jinv': [-53969305, 10648], 'lmfdb_iso': '158400.i', 'lmfdb_label': '158400.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -23, -59], 'min_quad_twist_disc': -120, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.2', '66.8.0-3.a.1.1', '88.2.0.?', '264.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.4422323067946019416725071999', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2475], [3, 6, 1600], [5, 14, 6336], [11, 12, 14400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.50416347677996566191134427063', 'prec': 107}, 'szpiro_ratio': 4.179539153235057, '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, -1, 0, -5, 0, 0, 0, 0, 0, 7, 0], 'aplist': [0, 0, 0, -4, -1, -5, 0, 7, -3, 3, 5, 4, -12, -5, 0, 6, 12, 10, -14, -3, 8, -4, -15, -3, -13], 'class_deg': 3, 'class_size': 2, 'conductor': 158400, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '158400.i', 'trace_hash': 909017727730922196}
• 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': '0.013357942952269883314749753529', 'prec': 107}, 'conductor': 158400, 'gens': [[196, 5256, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.4422323067946019416725071999', 'prec': 100}], 'lmfdb_label': '158400.i1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.27140563684624756411030490234', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8225875529782573207339770502590821323', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [196]}
• lmfdb_label 158400.i1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7090892
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '158400.i1', 'torsion': [3]}
  • id: 7090893
    {'degree': 3, 'field': [-10, -5, 0, 1], 'lmfdb_label': '158400.i1', 'torsion': [2]}
  • id: 7090896
    {'degree': 6, 'field': [-47, -60, -38, -30, -14, 0, 1], 'lmfdb_label': '158400.i1', 'torsion': [6]}
  • id: 7090894
    {'degree': 6, 'field': [22, 0, 37, 0, 4, 0, 1], 'lmfdb_label': '158400.i1', 'torsion': [2, 2]}
  • id: 7090895
    {'degree': 6, 'field': [384, 0, 48, 0, -18, 0, 1], 'lmfdb_label': '158400.i1', 'torsion': [3]}
  • id: 7090897
    {'degree': 12, 'field': [-99488, -125312, 383504, -215840, -18152, 45536, -6956, -2808, 566, 104, -13, -6, 1], 'lmfdb_label': '158400.i1', 'torsion': [4]}
  • id: 7090899
    {'degree': 12, 'field': [100, 0, -150, 0, 185, 0, 12, 0, 2, 0, -6, 0, 1], 'lmfdb_label': '158400.i1', 'torsion': [2, 6]}
  • id: 7090898
    {'degree': 12, 'field': [289, 1020, 3396, 380, -354, 840, 206, 0, 24, -20, 6, 0, 1], 'lmfdb_label': '158400.i1', 'torsion': [3, 3]}
  • id: 7090900
    {'degree': 18, 'field': [-292808, -778272, -1218180, -489016, 985086, 1619244, 393681, -1062468, -525468, 302544, 175419, -39864, -26850, 2244, 2007, -44, -72, 0, 1], 'lmfdb_label': '158400.i1', 'torsion': [9]}
  • id: 7090901
    {'degree': 18, 'field': [681472, 0, 0, 294272, 0, 0, 39656, 0, 0, -2416, 0, 0, 167, 0, 0, -22, 0, 0, 1], 'lmfdb_label': '158400.i1', '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: 3918289
    {'conductor': 158400, 'conductor_valuation': 6, 'discriminant_valuation': 21, 'j_denominator_valuation': 3, 'kodaira_symbol': -15, 'lmfdb_label': '158400.i1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3918290
    {'conductor': 158400, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '158400.i1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3918291
    {'conductor': 158400, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '158400.i1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3918292
    {'conductor': 158400, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '158400.i1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 2689021
    {'adelic_gens': [[199, 6, 0, 1], [4, 3, 9, 7], [131, 258, 129, 245], [259, 6, 258, 7], [261, 262, 254, 257], [145, 6, 171, 19], [118, 141, 89, 125], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '264.16.0.?', 'conductor': 158400, 'lmfdb_label': '158400.i1', 'prime': 0}
  • id: 603940
    {'conductor': 158400, 'elladic_image': '3.4.0.1', 'lmfdb_label': '158400.i1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 158400.i does not appear in ec_padic