Elliptic curve data - 7350.f4

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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': '7350i', 'Clabel': '7350i2', 'Cnumber': 2, 'abc_quality': 1.0169154011150379, 'absD': 116737220250000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 280, 'ainvs': [1, 1, 0, -102925, -12741875], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 7350, 'degree': 49152, 'elladic_images': ['8.48.0.97'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6202016338824546939859110321', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [65597103937, 63504], 'lmfdb_iso': '7350.f', 'lmfdb_label': '7350.f4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -84, 261], 'min_quad_twist_disc': -35, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.i.1', '20.24.0-4.b.1.2', '28.24.0.c.1', '40.96.0-8.i.1.5', '56.96.1.by.1', '140.48.0.?', '280.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1225], [3, 4, 2450], [5, 14, 294], [7, 32, 150]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15747239686225214586714500623', 'prec': 107}, 'szpiro_ratio': 5.193947363695207, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -1, -1, 1, 0, 1, 0, -1, 1, 0, -4, -1, 6, 0, 0, 1, 2, -1, 4, 0], 'aplist': [-1, -1, 0, 0, -4, 6, 2, 4, -8, -2, 0, 10, 6, 4, 0, -6, -4, -6, -4, 8, 10, 0, -4, 6, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 7350, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '7350.f', 'trace_hash': 2132388735682766543}
• 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': '0.039148104746629402719556845459', 'prec': 107}, 'conductor': 7350, 'gens': [], 'heights': [], 'lmfdb_label': '7350.f4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.26655941586872604689592670337', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0662376634749041875837068134741249377', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-190, 95, 1], [370, -185, 1]], 'xcoord_integral_points': [-190, 370]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [0, 0], '5': 'a', '7': 'a'}, 'iwp0': 3, 'lmfdb_label': '7350.f4'}
• ec_torsion_growth •

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

  
  
  • id: 385732
    {'degree': 2, 'field': [9, -1, 1], 'lmfdb_label': '7350.f4', 'torsion': [2, 4]}
  • id: 385733
    {'degree': 4, 'field': [14, -14, 15, -2, 1], 'lmfdb_label': '7350.f4', 'torsion': [2, 4]}
  • id: 385734
    {'degree': 4, 'field': [29, 16, -15, -2, 1], 'lmfdb_label': '7350.f4', 'torsion': [2, 4]}
  • id: 385735
    {'degree': 4, 'field': [119, -14, 15, -2, 1], 'lmfdb_label': '7350.f4', 'torsion': [2, 8]}
  • id: 385738
    {'degree': 8, 'field': [-311, 546, 312, 42, 5, -42, -12, 0, 1], 'lmfdb_label': '7350.f4', 'torsion': [2, 8]}
  • id: 385736
    {'degree': 8, 'field': [16, 0, -36, 0, 37, 0, -9, 0, 1], 'lmfdb_label': '7350.f4', 'torsion': [4, 4]}
  • id: 385737
    {'degree': 8, 'field': [36, -120, 218, -216, 159, -64, 26, -4, 1], 'lmfdb_label': '7350.f4', 'torsion': [2, 8]}
  • id: 385739
    {'degree': 8, 'field': [526, -727, -38, 285, 15, -39, -5, -4, 1], 'lmfdb_label': '7350.f4', 'torsion': [2, 6]}
  • id: 385742
    {'degree': 16, 'field': [256, 0, 0, 0, 112, 0, 0, 0, 753, 0, 0, 0, 7, 0, 0, 0, 1], 'lmfdb_label': '7350.f4', 'torsion': [4, 8]}
  • id: 385741
    {'degree': 16, 'field': [1089, 198, 10638, -17334, 21028, -11320, 3360, -58, 741, -1472, 1056, -530, 228, -70, 18, -4, 1], 'lmfdb_label': '7350.f4', 'torsion': [4, 8]}
  • id: 385740
    {'degree': 16, 'field': [323064, -299376, -59220, -1092, 147841, -40364, -36440, 588, 11604, 80, 318, -716, 108, 84, -20, -4, 1], 'lmfdb_label': '7350.f4', 'torsion': [2, 8]}
  • id: 385744
    {'degree': 16, 'field': [366116, 261818, -53991, -353008, 28244, 155256, -16181, -26192, 1365, 3140, -265, -276, 137, -70, 30, -8, 1], 'lmfdb_label': '7350.f4', 'torsion': [2, 12]}
  • id: 385743
    {'degree': 16, 'field': [3363319, -4971236, 6142906, -5069624, 4166261, -2563592, 1500810, -684476, 312902, -105100, 34422, -7864, 2129, -280, 70, -4, 1], 'lmfdb_label': '7350.f4', 'torsion': [2, 16]}
• 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: 151163
    {'conductor': 7350, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '7350.f4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 151164
    {'conductor': 7350, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '7350.f4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 151165
    {'conductor': 7350, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '7350.f4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 151166
    {'conductor': 7350, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '7350.f4', 'prime': 7, '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: 1712672
    {'adelic_gens': [[49, 110, 250, 229], [61, 20, 30, 11], [201, 160, 240, 221], [273, 8, 272, 9], [1, 0, 8, 1], [223, 0, 0, 279], [5, 4, 276, 277], [1, 8, 0, 1]], 'adelic_image': '280.192.1.?', 'conductor': 7350, 'lmfdb_label': '7350.f4', 'prime': 0}
  • id: 36319
    {'conductor': 7350, 'elladic_image': '8.48.0.97', 'lmfdb_label': '7350.f4', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 7350.f does not appear in ec_padic