Elliptic curve data - 52325.g2

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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': '52325d', 'Clabel': '52325d2', 'Cnumber': 2, 'abc_quality': 1.039990952304704, 'absD': 5781094534373807796875, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 188370, 'ainvs': [0, -1, 1, -3988733, -4771903257], 'analytic_rank': 0, 'bad_primes': [5, 7, 13, 23], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 52325, 'degree': 2519424, 'elladic_images': ['3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8737332556398925906606621537', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 6, 'isogeny_degrees': [1, 3], 'jinv': [-449167881463536812032, 369990050199923699], 'lmfdb_iso': '52325.g', 'lmfdb_label': '52325.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -159549, -38239046], 'min_quad_twist_disc': 5, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '15.24.0-3.a.1.1', '63.36.0.b.1', '315.72.0.?', '598.2.0.?', '1794.24.1.?', '8970.48.1.?', '37674.72.3.?', '188370.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 7475], [3, 2, 25], [5, 14, 2093], [7, 8, 7475], [13, 14, 4025], [23, 24, 2275]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0690142994228424033602824871', 'prec': 100}, 'szpiro_ratio': 5.34693948207414, '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, -1, -2, 0, 0, -1, 0, -2, 0, -3, 2, -1, 0, 0, 4, 6, 0, -7, 0], 'aplist': [0, -1, 0, -1, -3, -1, 6, -7, 1, -6, -4, -2, 6, 10, 0, -12, 0, 8, -5, 0, 16, -10, 15, 6, -17], 'class_deg': 9, 'class_size': 3, 'conductor': 52325, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '52325.g', 'trace_hash': 868411620020733190}
• 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': '0.0031908545588309289951789314296', 'prec': 110}, 'conductor': 52325, 'gens': [], 'heights': [], 'lmfdb_label': '52325.g2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.051608711211357553859585288975', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.30965226726814532315751173384826158527', 'prec': 133}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 7, 0], '3': [0, 1], '5': 'a', '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [1, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0, 0]}, 'iwp0': 0, 'lmfdb_label': '52325.g2'}
• ec_torsion_growth •

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

  
  
  • id: 2533905
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '52325.g2', 'torsion': [3]}
  • id: 2533906
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '52325.g2', 'torsion': [3]}
  • id: 2533907
    {'degree': 3, 'field': [-7, 5, -1, 1], 'lmfdb_label': '52325.g2', 'torsion': [2]}
  • id: 2533908
    {'degree': 4, 'field': [1, 1, 2, -1, 1], 'lmfdb_label': '52325.g2', 'torsion': [3, 3]}
  • id: 2533910
    {'degree': 6, 'field': [-29, 83, 22, 7, 6, -1, 1], 'lmfdb_label': '52325.g2', 'torsion': [6]}
  • id: 2533911
    {'degree': 6, 'field': [46, -92, 62, -3, 21, -1, 1], 'lmfdb_label': '52325.g2', 'torsion': [6]}
  • id: 2533909
    {'degree': 6, 'field': [1196, 0, 196, 0, 28, 0, 1], 'lmfdb_label': '52325.g2', 'torsion': [2, 2]}
  • id: 2533913
    {'degree': 12, 'field': [841, -2407, 7527, 2232, 77, -813, -58, 169, 21, -20, -5, -1, 1], 'lmfdb_label': '52325.g2', 'torsion': [3, 6]}
  • id: 2533914
    {'degree': 12, 'field': [107741, -64200, 89917, -56252, 40752, -16816, 8495, -2710, 976, -210, 53, -6, 1], 'lmfdb_label': '52325.g2', 'torsion': [2, 6]}
  • id: 2533915
    {'degree': 12, 'field': [201601, 0, 846035, 0, -66866, 0, 7183, 0, 1294, 0, 51, 0, 1], 'lmfdb_label': '52325.g2', 'torsion': [2, 6]}
  • id: 2533912
    {'degree': 12, 'field': [3080521, -3037530, 381362, 521408, -217601, -7508, 25892, -4544, -575, 138, 6, -4, 1], 'lmfdb_label': '52325.g2', 'torsion': [4]}
  • id: 2533916
    {'degree': 18, 'field': [-778331, -2333229, 328656, 5312239, 2713392, -1693674, -617689, 217617, -177597, -7427, 13230, -7023, 2522, 147, -195, 98, -3, -3, 1], 'lmfdb_label': '52325.g2', 'torsion': [9]}
  • id: 2533917
    {'degree': 18, 'field': [244984419000, 399102592500, 337491214200, 178642394325, 57993241545, 8443778715, -1225295496, -719435088, -55483569, 27039429, 6779736, 108234, -118659, -9918, 2484, 180, 30, -9, 1], 'lmfdb_label': '52325.g2', 'torsion': [9]}
• 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: 1253563
    {'conductor': 52325, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '52325.g2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1253564
    {'conductor': 52325, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '52325.g2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1253565
    {'conductor': 52325, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '52325.g2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1253566
    {'conductor': 52325, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '52325.g2', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 2011754
    {'adelic_gens': [[1, 18, 0, 1], [11, 113040, 112860, 171361], [1, 9, 9, 82], [188353, 18, 188352, 19], [37673, 0, 0, 188369], [126136, 150705, 78615, 37666], [1, 6, 6, 37], [1, 0, 18, 1], [121726, 150705, 139095, 37666], [1, 12, 0, 1], [48451, 113040, 134100, 37051]], 'adelic_image': '188370.144.3.?', 'conductor': 52325, 'lmfdb_label': '52325.g2', 'prime': 0}
  • id: 223830
    {'conductor': 52325, 'elladic_image': '3.12.0.1', 'lmfdb_label': '52325.g2', 'modell_image': '3Cs', 'prime': 3}
• lmfdb_iso 52325.g does not appear in ec_padic