Elliptic curve data - 115320.g4

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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': '115320d', 'Clabel': '115320d1', 'Cnumber': 1, 'abc_quality': 0.8561074444645796, 'absD': 3408014135040, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3720, 'ainvs': [0, -1, 0, 3524, 36340], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 115320, 'degree': 245760, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0932495064926059132814755829', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [21296, 15], 'lmfdb_iso': '115320.g', 'lmfdb_label': '115320.g4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 4, 0], 'min_quad_twist_disc': -31, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.y.1', '30.6.0.a.1', '40.12.0.bb.1', '60.12.0.g.1', '120.24.0.?', '248.12.0.?', '372.12.0.?', '620.12.0.?', '744.24.0.?', '1240.24.0.?', '1860.24.0.?', '3720.48.0.?'], '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, 14415], [3, 4, 38440], [5, 6, 23064], [31, 482, 120]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0858422161232640826279279937', 'prec': 103}, 'szpiro_ratio': 3.0985783615866427, '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, 4, 0, 1, 0, 0, 0, 6, 0, 1, 0, 2, 0, 4, 0], 'aplist': [0, -1, -1, 4, 0, 6, 2, 4, 8, 6, 0, 6, 10, 4, 8, -10, 0, -6, -4, 0, 14, -16, -12, -2, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 115320, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '115320.g', 'trace_hash': 1164116075935413380}
• 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': '0.11230925437885371319663997104', 'prec': 103}, 'conductor': 115320, 'gens': [], 'heights': [], 'lmfdb_label': '115320.g4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.50229445585455230480777282507', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0183556468364184384621826005956944258', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-10, 0, 1]], 'xcoord_integral_points': [-10]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': [0, 0], '31': 'a'}, 'iwp0': 3, 'lmfdb_label': '115320.g4'}
• ec_torsion_growth •

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

  
  
  • id: 5286581
    {'degree': 2, 'field': [-23, -1, 1], 'lmfdb_label': '115320.g4', 'torsion': [4]}
  • id: 5286580
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '115320.g4', 'torsion': [2, 2]}
  • id: 5286582
    {'degree': 2, 'field': [39, -1, 1], 'lmfdb_label': '115320.g4', 'torsion': [4]}
  • id: 5286583
    {'degree': 4, 'field': [249, -63, 10, -1, 1], 'lmfdb_label': '115320.g4', 'torsion': [2, 4]}
  • id: 5286587
    {'degree': 8, 'field': [-185775, 11424, -18412, 11340, -1110, -92, -12, 0, 1], 'lmfdb_label': '115320.g4', 'torsion': [6]}
  • id: 5286585
    {'degree': 8, 'field': [36100, 0, -14408, 0, 1536, 0, -68, 0, 1], 'lmfdb_label': '115320.g4', 'torsion': [8]}
  • id: 5286584
    {'degree': 8, 'field': [59536, 0, 1828, 0, 504, 0, -23, 0, 1], 'lmfdb_label': '115320.g4', 'torsion': [2, 4]}
  • id: 5286586
    {'degree': 8, 'field': [98596, 0, 18808, 0, 1304, 0, 52, 0, 1], 'lmfdb_label': '115320.g4', 'torsion': [8]}
  • id: 5286588
    {'degree': 16, 'field': [5764801, 4941258, 2117682, -4235364, 3776773, 345744, 464814, -426342, 168228, 60906, 9486, -1008, 1573, 252, 18, -6, 1], 'lmfdb_label': '115320.g4', 'torsion': [4, 4]}
  • id: 5286589
    {'degree': 16, 'field': [2430391401, 0, -1470889296, 0, 368750568, 0, -50194464, 0, 4167478, 0, -217808, 0, 7032, 0, -128, 0, 1], 'lmfdb_label': '115320.g4', 'torsion': [2, 8]}
  • id: 5286590
    {'degree': 16, 'field': [6507810241, 0, 2761746928, 0, 512557040, 0, 55377648, 0, 3909374, 0, 185712, 0, 5840, 0, 112, 0, 1], 'lmfdb_label': '115320.g4', 'torsion': [2, 8]}
  • id: 5286591
    {'degree': 16, 'field': [36080242704, 0, 9658824096, 0, 831656080, 0, -51760272, 0, 736680, 0, 119528, 0, -2928, 0, 0, 0, 1], 'lmfdb_label': '115320.g4', 'torsion': [2, 6]}
  • id: 5286592
    {'degree': 16, 'field': [62618024601, 4410275346, -25259514864, -753811158, 4167230944, 51091026, -378748980, -1604288, 21027267, 15048, -734874, 372, 15828, -8, -192, 0, 1], 'lmfdb_label': '115320.g4', 'torsion': [12]}
  • id: 5286593
    {'degree': 16, 'field': [99179645184, 0, -5305906944, 0, 188956800, 0, -32752512, 0, 4406640, 0, -15392, 0, -168, 0, 0, 0, 1], 'lmfdb_label': '115320.g4', 'torsion': [12]}
• 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: 2835035
    {'conductor': 115320, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '115320.g4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2835036
    {'conductor': 115320, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '115320.g4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2835037
    {'conductor': 115320, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '115320.g4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2835038
    {'conductor': 115320, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '115320.g4', 'prime': 31, '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: 2417647
    {'adelic_gens': [[1, 0, 8, 1], [1919, 0, 0, 3719], [1, 8, 0, 1], [1, 4, 4, 17], [683, 558, 3410, 1427], [3628, 961, 1271, 1086], [1768, 2883, 3565, 962], [1489, 1488, 1798, 3535], [7, 6, 3714, 3715], [3713, 8, 3712, 9]], 'adelic_image': '3720.48.0.?', 'conductor': 115320, 'lmfdb_label': '115320.g4', 'prime': 0}
  • id: 454891
    {'conductor': 115320, 'elladic_image': '4.6.0.1', 'lmfdb_label': '115320.g4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 115320.g does not appear in ec_padic