Elliptic curve data - 3120.i2

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '3120f', 'Clabel': '3120f2', 'Cnumber': 2, 'abc_quality': 1.119667780163995, 'absD': 177409440000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 520, 'ainvs': [0, -1, 0, -35100, 2542752], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3120, 'degree': 6144, 'elladic_images': ['8.48.0.39'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2455268187492118199579581156', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2], 'jinv': [18681746265374416, 693005625], 'lmfdb_iso': '3120.i', 'lmfdb_label': '3120.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -35100, -2542752], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.a.1.1', '8.48.0-8.g.1.1', '52.48.0-52.b.1.1', '104.96.1.?', '520.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4735147287720366757698969907', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.78342869837591494701313670129', 'prec': 103}, 'szpiro_ratio': 5.345973376937841, '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, 0, -1, 0, 1, 0, -4, 0, 1, 0, 0, 0, 1, 0, -1, 0, 2, 0, 0, 0], 'aplist': [0, -1, 1, -4, 0, 1, 2, 0, 0, -2, 4, 6, -6, -4, 4, -10, 0, -2, -8, -4, -6, 8, -8, -6, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 3120, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '3120.i', 'trace_hash': 639782101607868472}
• 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': '0.082822655530568718488493305096', 'prec': 107}, 'conductor': 3120, 'gens': [[104, 80, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.4735147287720366757698969907', 'prec': 100}], 'lmfdb_label': '3120.i2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.94980932992665743359061251430', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7991160743440570517965188121796255084', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[108, 0, 1], [109, 0, 1]], 'xcoord_integral_points': [-216, 44, 104, 108, 109, 189]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [4, 0], '7': [1, 0], '11': [1, 1, 0], '13': [2, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '3120.i2'}
• ec_torsion_growth •

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

  
  
  • id: 160804
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '3120.i2', 'torsion': [2, 4]}
  • id: 160805
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '3120.i2', 'torsion': [2, 4]}
  • id: 160807
    {'degree': 4, 'field': [5, -2, 0, -2, 1], 'lmfdb_label': '3120.i2', 'torsion': [2, 8]}
  • id: 160806
    {'degree': 4, 'field': [9, 0, 7, 0, 1], 'lmfdb_label': '3120.i2', 'torsion': [4, 4]}
  • id: 160810
    {'degree': 8, 'field': [-3, 0, -5192, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '3120.i2', 'torsion': [2, 6]}
  • id: 160809
    {'degree': 8, 'field': [9, -6, 2, -10, 7, -6, 8, -4, 1], 'lmfdb_label': '3120.i2', 'torsion': [4, 8]}
  • id: 160808
    {'degree': 8, 'field': [6561, 0, -4598, 0, 1123, 0, -68, 0, 1], 'lmfdb_label': '3120.i2', 'torsion': [2, 8]}
  • id: 160814
    {'degree': 16, 'field': [16165, 13760, 3484, 428, 16758, -17040, -156, -2604, 5200, -1488, 576, -540, 18, 104, -20, -4, 1], 'lmfdb_label': '3120.i2', 'torsion': [2, 16]}
  • id: 160815
    {'degree': 16, 'field': [104976, -419904, 839808, -837216, 409536, 24624, -36256, 33568, -17240, 3552, 328, -256, 164, -84, 32, -8, 1], 'lmfdb_label': '3120.i2', 'torsion': [2, 12]}
  • id: 160811
    {'degree': 16, 'field': [707281, 0, 0, 0, 5313, 0, 0, 0, 1198, 0, 0, 0, -12, 0, 0, 0, 1], 'lmfdb_label': '3120.i2', 'torsion': [4, 8]}
  • id: 160812
    {'degree': 16, 'field': [3083536, 5675392, 5222912, -10079712, 6765760, -2169088, 1022496, -568592, 183708, -30032, 11616, -4408, 820, -72, 32, -8, 1], 'lmfdb_label': '3120.i2', 'torsion': [4, 8]}
  • id: 160813
    {'degree': 16, 'field': [3684690, 10218960, 5695812, -15304464, 10270224, -3808080, 1355016, -444960, 83092, -1064, 2800, -2384, 270, 164, -32, -4, 1], 'lmfdb_label': '3120.i2', 'torsion': [2, 16]}
  • id: 160816
    {'degree': 16, 'field': [237479853, 174790824, -141981280, -66747688, 35751386, -1597976, -1594868, 1894336, -560445, 55656, -9204, -656, -194, 112, 4, -8, 1], 'lmfdb_label': '3120.i2', 'torsion': [2, 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: 55725
    {'conductor': 3120, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '3120.i2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 55726
    {'conductor': 3120, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '3120.i2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 55727
    {'conductor': 3120, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '3120.i2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 55728
    {'conductor': 3120, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3120.i2', 'prime': 13, 'reduction_type': 1, '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: 1684154
    {'adelic_gens': [[513, 8, 512, 9], [1, 0, 8, 1], [261, 8, 4, 33], [1, 8, 0, 1], [1, 4, 4, 17], [123, 2, 438, 519], [253, 516, 424, 75], [5, 4, 412, 517]], 'adelic_image': '520.192.3.?', 'conductor': 3120, 'lmfdb_label': '3120.i2', 'prime': 0}
  • id: 15470
    {'conductor': 3120, 'elladic_image': '8.48.0.39', 'lmfdb_label': '3120.i2', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 101640
    {'lmfdb_iso': '3120.i', 'p': 7, 'prec': 20, 'unit': 4953208530905249, 'val': 1}
  • id: 101645
    {'lmfdb_iso': '3120.i', 'p': 17, 'prec': 20, 'unit': 33088757299612461789620, 'val': 1}
  • id: 101643
    {'lmfdb_iso': '3120.i', 'p': 29, 'prec': 20, 'unit': 2877159464401969113743545818, 'val': 1}
  • id: 101653
    {'lmfdb_iso': '3120.i', 'p': 31, 'prec': 20, 'unit': 982920996416860361059650788, 'val': 1}
  • id: 101639
    {'lmfdb_iso': '3120.i', 'p': 37, 'prec': 20, 'unit': 57523591126385336427998418494, 'val': 1}
  • id: 101641
    {'lmfdb_iso': '3120.i', 'p': 41, 'prec': 20, 'unit': 449262252632625755215157400815, 'val': 1}
  • id: 101642
    {'lmfdb_iso': '3120.i', 'p': 43, 'prec': 20, 'unit': 4024788373086816718304381101044, 'val': 1}
  • id: 101644
    {'lmfdb_iso': '3120.i', 'p': 47, 'prec': 20, 'unit': 53929353863636892119152792129058, 'val': 1}
  • id: 101647
    {'lmfdb_iso': '3120.i', 'p': 53, 'prec': 20, 'unit': 389349580184366029425405121765741, 'val': 1}
  • id: 101652
    {'lmfdb_iso': '3120.i', 'p': 61, 'prec': 20, 'unit': 1940459226357463461489592290566772, 'val': 1}
  • id: 101638
    {'lmfdb_iso': '3120.i', 'p': 67, 'prec': 20, 'unit': 2099015699925712911228558676446155, 'val': 1}
  • id: 101650
    {'lmfdb_iso': '3120.i', 'p': 71, 'prec': 20, 'unit': 63897411341005857791572491324298932, 'val': 1}
  • id: 101648
    {'lmfdb_iso': '3120.i', 'p': 73, 'prec': 20, 'unit': 220507207613932863386393130815105145, 'val': 1}
  • id: 101651
    {'lmfdb_iso': '3120.i', 'p': 79, 'prec': 20, 'unit': 274381832214580447469088556067412466, 'val': 1}
  • id: 101646
    {'lmfdb_iso': '3120.i', 'p': 83, 'prec': 20, 'unit': 2851755531310964684822563649031243550, 'val': 1}
  • id: 101649
    {'lmfdb_iso': '3120.i', 'p': 89, 'prec': 20, 'unit': 8127313037757461157350240283472718211, 'val': 1}
  • id: 101637
    {'lmfdb_iso': '3120.i', 'p': 97, 'prec': 20, 'unit': 44301897707013692875835545573176089903, 'val': 1}