Elliptic curve data - 600.h2

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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': '600d', 'Clabel': '600d4', 'Cnumber': 4, 'abc_quality': 1.0561716345991692, 'absD': 48000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 240, 'ainvs': [0, 1, 0, -1608, 24288], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 600, 'degree': 256, 'elladic_images': ['16.48.0.127'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.50594026041716556934998505052', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [28756228, 3], 'lmfdb_iso': '600.h', 'lmfdb_label': '600.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -64, 220], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '12.12.0.h.1', '16.48.0.bb.2', '20.12.0-4.c.1.2', '24.48.0.bn.1', '40.48.0-8.bb.2.4', '48.96.1.em.1', '60.24.0-12.h.1.2', '80.96.0.?', '120.96.0.?', '240.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 75], [3, 4, 200], [5, 14, 24]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87640134626650570913142138397', 'prec': 107}, 'szpiro_ratio': 5.2779170676839025, '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, 0, 0, 0, 0, 1, 0, 4, 0, 2, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 1, 0, 0, 4, 2, -2, -4, 8, 6, 8, -6, -6, -4, 0, 2, 4, -2, 4, 8, -10, -8, 4, -6, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 600, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '600.h', 'trace_hash': 229566738491683071}
• 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': '0.36353470179314388805624933342', 'prec': 103}, 'conductor': 600, 'gens': [], 'heights': [], 'lmfdb_label': '600.h2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.9288462329404706633818287936', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9288462329404706633818287936157508506', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[23, 0, 1]], 'xcoord_integral_points': [23]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': 'a'}, 'iwp0': 3, 'lmfdb_label': '600.h2'}
• ec_torsion_growth •

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

  
  
  • id: 27475
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '600.h2', 'torsion': [4]}
  • id: 27473
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '600.h2', 'torsion': [2, 2]}
  • id: 27474
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '600.h2', 'torsion': [4]}
  • id: 27476
    {'degree': 4, 'field': [1, 8, -7, -2, 1], 'lmfdb_label': '600.h2', 'torsion': [2, 4]}
  • id: 27478
    {'degree': 4, 'field': [4, 0, -6, 0, 1], 'lmfdb_label': '600.h2', 'torsion': [8]}
  • id: 27477
    {'degree': 4, 'field': [19, 14, -13, -2, 1], 'lmfdb_label': '600.h2', 'torsion': [8]}
  • id: 27481
    {'degree': 8, 'field': [1, 0, -12, 0, 23, 0, -12, 0, 1], 'lmfdb_label': '600.h2', 'torsion': [2, 8]}
  • id: 27479
    {'degree': 8, 'field': [6, -24, 36, -30, 31, -22, 12, -4, 1], 'lmfdb_label': '600.h2', 'torsion': [2, 4]}
  • id: 27482
    {'degree': 8, 'field': [234, -396, 306, -158, 50, -8, 4, -4, 1], 'lmfdb_label': '600.h2', 'torsion': [6]}
  • id: 27480
    {'degree': 8, 'field': [729, 0, -324, 0, 75, 0, -12, 0, 1], 'lmfdb_label': '600.h2', 'torsion': [8]}
  • id: 27490
    {'degree': 16, 'field': [-24, -432, -2760, -6240, 4296, 21480, 14200, -2904, -7448, -2660, 508, 604, 190, -8, -2, 0, 1], 'lmfdb_label': '600.h2', 'torsion': [12]}
  • id: 27483
    {'degree': 16, 'field': [1, -2, 2, -4, -22, 2, 48, 114, 163, 114, 48, 2, -22, -4, 2, -2, 1], 'lmfdb_label': '600.h2', 'torsion': [4, 4]}
  • id: 27486
    {'degree': 16, 'field': [1, 104, -1336, 4680, -4252, -6152, 11344, 528, -8435, 2184, 2476, -1048, -250, 168, -4, -8, 1], 'lmfdb_label': '600.h2', 'torsion': [2, 16]}
  • id: 27489
    {'degree': 16, 'field': [9, 0, -36, 0, 142, 0, -72, 0, -105, 0, 72, 0, -42, 0, 0, 0, 1], 'lmfdb_label': '600.h2', 'torsion': [12]}
  • id: 27488
    {'degree': 16, 'field': [81, 0, -4536, 0, -5076, 0, -2316, 0, -150, 0, 204, 0, 4, 0, -16, 0, 1], 'lmfdb_label': '600.h2', 'torsion': [2, 6]}
  • id: 27487
    {'degree': 16, 'field': [81, 0, -324, 0, 648, 0, -936, 0, 823, 0, -312, 0, 72, 0, -12, 0, 1], 'lmfdb_label': '600.h2', 'torsion': [16]}
  • id: 27484
    {'degree': 16, 'field': [81, 0, 0, 0, 189, 0, 0, 0, 432, 0, 0, 0, 21, 0, 0, 0, 1], 'lmfdb_label': '600.h2', 'torsion': [2, 8]}
  • id: 27485
    {'degree': 16, 'field': [36864, 0, 0, 0, 0, 0, 0, 0, -204, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '600.h2', 'torsion': [2, 8]}
• 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: 7092
    {'conductor': 600, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '600.h2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7093
    {'conductor': 600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '600.h2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 7094
    {'conductor': 600, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '600.h2', '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: 1668575
    {'adelic_gens': [[5, 4, 236, 237], [143, 0, 0, 239], [176, 5, 195, 226], [225, 16, 224, 17], [1, 0, 16, 1], [15, 2, 142, 227], [61, 160, 60, 121], [1, 16, 0, 1], [106, 115, 95, 126]], 'adelic_image': '240.192.1.?', 'conductor': 600, 'lmfdb_label': '600.h2', 'prime': 0}
  • id: 2702
    {'conductor': 600, 'elladic_image': '16.48.0.127', 'lmfdb_label': '600.h2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 600.h does not appear in ec_padic