Elliptic curve data - 374400.gm2

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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': '374400gm', 'Clabel': '374400gm2', 'Cnumber': 2, 'abc_quality': 1.15241623191272, 'absD': 1206817922598912000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 120, 'ainvs': [0, 0, 0, -221880, -66421600], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 374400, 'degree': 5963776, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1652712443987763360519824024', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 168, 'isogeny_degrees': [1, 2], 'jinv': [-809134470272, 808321761], 'lmfdb_iso': '374400.gm', 'lmfdb_label': '374400.gm2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -6163, -305453], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.a.1', '24.6.0.j.1', '120.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 45], [3, 8, 41600], [5, 10, 14976], [13, 14, 28800]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.40493391130292686905073247560', 'prec': 103}, 'szpiro_ratio': 3.8608199412809308, '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, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 1, 0, 0, 0, -6, 0, 4, 0], 'aplist': [0, 0, 0, 0, 6, 1, -6, 4, -4, -10, -6, -2, -2, -8, 12, -12, -6, -10, -4, 0, -8, 6, -12, -10, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 374400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '374400.gm', 'trace_hash': 1692360988736067200}
• 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': '0.013160406180290558572491120821', 'prec': 107}, 'conductor': 374400, 'gens': [], 'heights': [], 'lmfdb_label': '374400.gm2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.10572450986397655478700447138', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.84579607891181243829603577101522494242', 'prec': 133}, 'tamagawa_product': 32, 'torsion_generators': [[580, 0, 1]], 'xcoord_integral_points': [580]}
• lmfdb_label 374400.gm2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15529041
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '374400.gm2', 'torsion': [2, 2]}
  • id: 15529042
    {'degree': 4, 'field': [-5, 0, 10, 0, 1], 'lmfdb_label': '374400.gm2', 'torsion': [4]}
  • id: 15529045
    {'degree': 8, 'field': [-13356300, 0, 24000, 0, 11700, 0, -200, 0, 1], 'lmfdb_label': '374400.gm2', 'torsion': [6]}
  • id: 15529043
    {'degree': 8, 'field': [81, -108, 252, -180, 156, -60, 28, -4, 1], 'lmfdb_label': '374400.gm2', 'torsion': [2, 4]}
  • id: 15529044
    {'degree': 8, 'field': [2735716, 0, 144648, 0, 1264, 0, 12, 0, 1], 'lmfdb_label': '374400.gm2', 'torsion': [2, 4]}
  • id: 15529046
    {'degree': 16, 'field': [-1090641834, -774858960, 450015264, 382974480, -41718960, -60629760, -2098104, 3782160, 726904, 12000, -37744, -5760, 60, -120, -16, 0, 1], 'lmfdb_label': '374400.gm2', 'torsion': [8]}
  • id: 15529047
    {'degree': 16, 'field': [187121130625, 0, -18120485000, 0, 1140740500, 0, -11873000, 0, -916250, 0, 109000, 0, -2540, 0, 40, 0, 1], 'lmfdb_label': '374400.gm2', 'torsion': [2, 6]}
• 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: 9264832
    {'conductor': 374400, 'conductor_valuation': 7, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '374400.gm2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9264833
    {'conductor': 374400, 'conductor_valuation': 2, 'discriminant_valuation': 20, 'j_denominator_valuation': 14, 'kodaira_symbol': -18, 'lmfdb_label': '374400.gm2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9264834
    {'conductor': 374400, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '374400.gm2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9264835
    {'conductor': 374400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '374400.gm2', '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: 3993590
    {'adelic_gens': [[41, 4, 82, 9], [1, 2, 2, 5], [76, 49, 17, 114], [117, 4, 116, 5], [3, 4, 8, 11], [61, 4, 2, 9], [28, 1, 23, 0], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '120.12.0.?', 'conductor': 374400, 'lmfdb_label': '374400.gm2', 'prime': 0}
  • id: 1283577
    {'conductor': 374400, 'elladic_image': '2.3.0.1', 'lmfdb_label': '374400.gm2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 374400.gm does not appear in ec_padic