Elliptic curve data - 150.c2

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '150a', 'Clabel': '150a2', 'Cnumber': 2, 'abc_quality': 1.1285185879751438, 'absD': 2250, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 120, 'ainvs': [1, 0, 0, -53, -153], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 150, 'degree': 16, 'elladic_images': ['2.3.0.1', '5.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.33869759233415819570904293513', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [131872229, 18], 'lmfdb_iso': '150.c', 'lmfdb_label': '150.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -53, -153], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '5B.1.2'], 'modm_images': ['2.3.0.a.1', '5.24.0-5.a.2.2', '10.72.0-10.a.1.2', '24.6.0.j.1', '40.144.1-40.bf.2.13', '60.144.1-60.cj.1.4', '120.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 5], [3, 4, 50]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.74105707044268328935923276844', 'prec': 107}, 'szpiro_ratio': 4.695144708431045, '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, 1, 1, 1, 0, 1, -2, 1, 1, 0, 2, 1, -6, -2, 0, 1, -2, 1, 0, 0], 'aplist': [1, 1, 0, -2, 2, -6, -2, 0, 4, 0, -8, -2, 2, 4, 8, -6, 10, 2, 8, 12, 4, 0, 4, -10, 8], 'class_deg': 10, 'class_size': 4, 'conductor': 150, 'isogeny_matrix': [[1, 5, 2, 10], [5, 1, 10, 2], [2, 10, 1, 5], [10, 2, 5, 1]], 'lmfdb_iso': '150.c', 'trace_hash': 1400156825977793489}
• 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': '1.9687428358824144016735371020', 'prec': 100}, 'conductor': 150, 'gens': [], 'heights': [], 'lmfdb_label': '150.c2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.7692592482524138311369605540', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7692592482524138311369605540290421893', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-17, 17, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [1, 0], '5': 'a'}, 'iwp0': 7, 'lmfdb_label': '150.c2'}
• ec_torsion_growth •

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

  
  
  • id: 5767
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '150.c2', 'torsion': [2, 2]}
  • id: 5769
    {'degree': 4, 'field': [1, -1, 1, -1, 1], 'lmfdb_label': '150.c2', 'torsion': [10]}
  • id: 5768
    {'degree': 4, 'field': [10, 0, -5, 0, 1], 'lmfdb_label': '150.c2', 'torsion': [4]}
  • id: 5770
    {'degree': 5, 'field': [13, -1, 4, 4, -1, 1], 'lmfdb_label': '150.c2', 'torsion': [10]}
  • id: 5773
    {'degree': 8, 'field': [-24, 12, 30, -23, 4, 13, -5, -2, 1], 'lmfdb_label': '150.c2', 'torsion': [6]}
  • id: 5771
    {'degree': 8, 'field': [16, 0, -32, 0, 14, 0, -8, 0, 1], 'lmfdb_label': '150.c2', 'torsion': [2, 4]}
  • id: 5774
    {'degree': 8, 'field': [16, 0, 8, 0, 4, 0, 2, 0, 1], 'lmfdb_label': '150.c2', 'torsion': [2, 10]}
  • id: 5772
    {'degree': 8, 'field': [36, 0, 84, 0, 61, 0, 4, 0, 1], 'lmfdb_label': '150.c2', 'torsion': [2, 4]}
  • id: 5775
    {'degree': 10, 'field': [-10, 0, 56, 0, -82, 0, 4, 0, -8, 0, 1], 'lmfdb_label': '150.c2', 'torsion': [2, 10]}
  • id: 5778
    {'degree': 16, 'field': [16, 0, 56, 0, 84, 0, 62, 0, 9, 0, -16, 0, -4, 0, 3, 0, 1], 'lmfdb_label': '150.c2', 'torsion': [20]}
  • id: 5776
    {'degree': 16, 'field': [36, 0, -72, 0, 3180, 0, -1512, 0, 469, 0, -238, 0, 30, 0, 2, 0, 1], 'lmfdb_label': '150.c2', 'torsion': [8]}
  • id: 5777
    {'degree': 16, 'field': [576, 0, -20160, 0, 28368, 0, -15400, 0, 4664, 0, -1090, 0, 172, 0, -20, 0, 1], 'lmfdb_label': '150.c2', 'torsion': [2, 6]}
  • id: 5779
    {'degree': 20, 'field': [1, 4, 4, 1, 17, 54, 62, 26, -6, -6, 62, 84, 69, 46, 2, 9, 2, -4, 4, -1, 1], 'lmfdb_label': '150.c2', 'torsion': [5, 10]}
  • id: 5780
    {'degree': 20, 'field': [10, 0, -10, 0, 36, 0, -108, 0, 96, 0, -159, 0, 189, 0, -42, 0, 24, 0, -1, 0, 1], 'lmfdb_label': '150.c2', 'torsion': [20]}
• 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: 1084
    {'conductor': 150, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '150.c2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1085
    {'conductor': 150, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '150.c2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1086
    {'conductor': 150, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '150.c2', 'prime': 5, 'reduction_type': 0, '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: 1666377
    {'adelic_gens': [[6, 13, 95, 56], [11, 16, 0, 11], [41, 6, 0, 1], [31, 6, 0, 1], [1, 20, 0, 1], [102, 5, 55, 46], [1, 0, 20, 1], [101, 20, 100, 21], [1, 10, 10, 101]], 'adelic_image': '120.288.5.?', 'conductor': 150, 'lmfdb_label': '150.c2', 'prime': 0}
  • id: 581
    {'conductor': 150, 'elladic_image': '2.3.0.1', 'lmfdb_label': '150.c2', 'modell_image': '2B', 'prime': 2}
  • id: 582
    {'conductor': 150, 'elladic_image': '5.24.0.3', 'lmfdb_label': '150.c2', 'modell_image': '5B.1.2', 'prime': 5}
• lmfdb_iso 150.c does not appear in ec_padic