Elliptic curve data - 3150.f2

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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': '3150k', 'Clabel': '3150k6', 'Cnumber': 6, 'abc_quality': 1.0396558118857293, 'absD': 1235032142400000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 420, 'ainvs': [1, -1, 0, -4939317, 4226108341], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 3150, 'degree': 110592, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5097165165815810589661424293', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1169975873419524361, 108425318400], 'lmfdb_iso': '3150.f', 'lmfdb_label': '3150.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -21953, -1253644], 'min_quad_twist_disc': -15, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '12.96.0-12.a.2.10', '15.8.0-3.a.1.2', '20.12.0.a.1', '28.12.0-2.a.1.2', '30.48.0-6.a.1.1', '60.192.1-60.e.2.3', '84.192.1.?', '140.24.0.?', '420.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1556914160304760259681401442', 'prec': 100}, 'szpiro_ratio': 7.181959427009919, '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, 0, 1, 0, 0, -1, -1, 0, 0, 0, 0, -2, 1, 0, 1, -6, 0, 8, 0], 'aplist': [-1, 0, 0, -1, 0, -2, -6, 8, 0, -6, -4, 10, 6, 4, 0, -6, 12, -10, 4, -12, 10, 8, 12, 6, 10], 'class_deg': 12, 'class_size': 8, 'conductor': 3150, 'isogeny_matrix': [[1, 2, 4, 3, 4, 6, 12, 12], [2, 1, 2, 6, 2, 3, 6, 6], [4, 2, 1, 12, 4, 6, 12, 3], [3, 6, 12, 1, 12, 2, 4, 4], [4, 2, 4, 12, 1, 6, 3, 12], [6, 3, 6, 2, 6, 1, 2, 2], [12, 6, 12, 4, 3, 2, 1, 4], [12, 6, 3, 4, 12, 2, 4, 1]], 'lmfdb_iso': '3150.f', 'trace_hash': 278070949046588980}
• 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': '0.0066082723186498019540046375845', 'prec': 110}, 'conductor': 3150, 'gens': [], 'heights': [], 'lmfdb_label': '3150.f2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.26101332681085743445368311620', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0440533072434297378147324647962427436', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-2566, 1283, 1], [1274, -637, 1]], 'xcoord_integral_points': [-2566, 1274]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': 'a', '7': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '3150.f2'}
• ec_torsion_growth •

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

  
  
  • id: 163662
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '3150.f2', 'torsion': [2, 6]}
  • id: 163665
    {'degree': 4, 'field': [15, -15, 4, -1, 1], 'lmfdb_label': '3150.f2', 'torsion': [2, 4]}
  • id: 163663
    {'degree': 4, 'field': [25, 0, -5, 0, 1], 'lmfdb_label': '3150.f2', 'torsion': [2, 4]}
  • id: 163664
    {'degree': 4, 'field': [64, 0, -19, 0, 1], 'lmfdb_label': '3150.f2', 'torsion': [2, 4]}
  • id: 163666
    {'degree': 6, 'field': [15, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '3150.f2', 'torsion': [2, 6]}
  • id: 163668
    {'degree': 8, 'field': [1, 0, -15, 0, 32, 0, -15, 0, 1], 'lmfdb_label': '3150.f2', 'torsion': [2, 12]}
  • id: 163669
    {'degree': 8, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'lmfdb_label': '3150.f2', 'torsion': [2, 12]}
  • id: 163667
    {'degree': 8, 'field': [16, 8, -16, 18, 23, -9, -4, -1, 1], 'lmfdb_label': '3150.f2', 'torsion': [2, 12]}
  • id: 163670
    {'degree': 12, 'field': [256, -96, -204, 550, -135, -216, 171, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '3150.f2', 'torsion': [6, 6]}
  • id: 163671
    {'degree': 12, 'field': [18960, -22320, 27180, -18960, 10395, -3375, 949, -138, 150, -70, 15, -3, 1], 'lmfdb_label': '3150.f2', 'torsion': [2, 12]}
  • id: 163672
    {'degree': 16, 'field': [256, 0, 576, 0, 704, 0, 1044, 0, 1029, 0, 261, 0, 44, 0, 9, 0, 1], 'lmfdb_label': '3150.f2', 'torsion': [4, 12]}
  • id: 163673
    {'degree': 16, 'field': [1296, 0, -864, 0, 540, 0, -456, 0, 109, 0, 54, 0, 35, 0, 6, 0, 1], 'lmfdb_label': '3150.f2', 'torsion': [2, 8]}
  • id: 163675
    {'degree': 16, 'field': [57600, 0, 103680, 0, 155136, 0, -59904, 0, 6928, 0, -640, 0, 288, 0, -4, 0, 1], 'lmfdb_label': '3150.f2', 'torsion': [2, 8]}
  • id: 163674
    {'degree': 16, 'field': [2768896, 0, -5296128, 0, 4721920, 0, -1951488, 0, 389424, 0, -35952, 0, 1225, 0, -12, 0, 1], 'lmfdb_label': '3150.f2', 'torsion': [2, 8]}
  • id: 163676
    {'degree': 18, 'field': [174247919, -192697407, -251280243, 372557262, 13311756, -185957514, 85488012, -12581154, -2075859, 2770841, -1075887, 246726, -42078, 1332, 1044, -372, 81, -9, 1], 'lmfdb_label': '3150.f2', 'torsion': [2, 18]}
• 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: 56637
    {'conductor': 3150, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '3150.f2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 56638
    {'conductor': 3150, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '3150.f2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 56639
    {'conductor': 3150, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '3150.f2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 56640
    {'conductor': 3150, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '3150.f2', 'prime': 7, '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: 1684452
    {'adelic_gens': [[409, 12, 408, 13], [139, 408, 134, 347], [161, 414, 342, 5], [1, 0, 12, 1], [1, 12, 0, 1], [211, 6, 0, 1], [241, 12, 186, 73], [9, 4, 404, 413]], 'adelic_image': '420.384.5.?', 'conductor': 3150, 'lmfdb_label': '3150.f2', 'prime': 0}
  • id: 15763
    {'conductor': 3150, 'elladic_image': '2.6.0.1', 'lmfdb_label': '3150.f2', 'modell_image': '2Cs', 'prime': 2}
  • id: 15764
    {'conductor': 3150, 'elladic_image': '3.4.0.1', 'lmfdb_label': '3150.f2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 3150.f does not appear in ec_padic