Elliptic curve data - 294.g1

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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': '294c', 'Clabel': '294c3', 'Cnumber': 3, 'abc_quality': 1.0572692378622217, 'absD': 29647548, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 112, 'ainvs': [1, 0, 0, -65857, -6510547], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 294, 'degree': 768, 'elladic_images': ['16.96.0.167'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1620562679453771613941474262', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [268498407453697, 252], 'lmfdb_iso': '294.g', 'lmfdb_label': '294.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1344, 18405], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.48.0-8.bb.2.6', '16.96.0-16.z.2.5', '28.24.0-28.h.1.1', '56.96.0-56.bl.1.7', '112.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.18910119341772050884147105448', 'prec': 103}, 'szpiro_ratio': 7.899832294241659, '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, 2, 1, 0, 1, 1, 2, -4, 1, -6, 0, 2, 1, -2, 1, 4, 2], 'aplist': [1, 1, 2, 0, -4, -6, -2, 4, 8, -2, 0, -10, 6, -4, 0, 6, -4, -6, 4, 8, -10, 0, 4, 6, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 294, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '294.g', 'trace_hash': 2030211679170208164}
• 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': '0.097870261866573506798892113646', 'prec': 107}, 'conductor': 294, 'gens': [], 'heights': [], 'lmfdb_label': '294.g1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.29802248696255379939090960708', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3841798957004303951272768566139217458', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-593, 593, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 1], '3': [3, 0], '7': 'a'}, 'iwp0': 3, 'lmfdb_label': '294.g1'}
• ec_torsion_growth •

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

  
  
  • id: 12339
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '294.g1', 'torsion': [2, 2]}
  • id: 12340
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '294.g1', 'torsion': [4]}
  • id: 12341
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '294.g1', 'torsion': [4]}
  • id: 12342
    {'degree': 4, 'field': [-3, -18, -2, -2, 1], 'lmfdb_label': '294.g1', 'torsion': [2, 4]}
  • id: 12344
    {'degree': 4, 'field': [2, -8, 9, -2, 1], 'lmfdb_label': '294.g1', 'torsion': [8]}
  • id: 12343
    {'degree': 4, 'field': [4, 0, -3, 0, 1], 'lmfdb_label': '294.g1', 'torsion': [2, 4]}
  • id: 12345
    {'degree': 4, 'field': [16, 0, 6, 0, 1], 'lmfdb_label': '294.g1', 'torsion': [8]}
  • id: 12348
    {'degree': 8, 'field': [-4032, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '294.g1', 'torsion': [2, 8]}
  • id: 12352
    {'degree': 8, 'field': [-54, 108, -126, 35, -14, -7, 7, -4, 1], 'lmfdb_label': '294.g1', 'torsion': [6]}
  • id: 12349
    {'degree': 8, 'field': [16, 0, 0, 0, 1, 0, 0, 0, 1], 'lmfdb_label': '294.g1', 'torsion': [2, 8]}
  • id: 12346
    {'degree': 8, 'field': [36, -72, 72, -24, 13, -10, 2, -2, 1], 'lmfdb_label': '294.g1', 'torsion': [4, 4]}
  • id: 12350
    {'degree': 8, 'field': [784, 0, 0, 0, 42, 0, 0, 0, 1], 'lmfdb_label': '294.g1', 'torsion': [16]}
  • id: 12351
    {'degree': 8, 'field': [1296, 0, 0, 0, 54, 0, 0, 0, 1], 'lmfdb_label': '294.g1', 'torsion': [16]}
  • id: 12347
    {'degree': 8, 'field': [3844, 0, 760, 0, -120, 0, 4, 0, 1], 'lmfdb_label': '294.g1', 'torsion': [2, 8]}
  • id: 12359
    {'degree': 16, 'field': [8, -52, 154, 141, 34, -113, 103, 2, -63, 2, 92, -83, 44, -21, 11, -4, 1], 'lmfdb_label': '294.g1', 'torsion': [12]}
  • id: 12354
    {'degree': 16, 'field': [256, 0, 1088, 0, 1892, 0, 2004, 0, 1601, 0, 144, 0, -34, 0, -4, 0, 1], 'lmfdb_label': '294.g1', 'torsion': [4, 8]}
  • id: 12357
    {'degree': 16, 'field': [1296, 0, 2592, 0, -1188, 0, -2407, 0, 1418, 0, -271, 0, 85, 0, -14, 0, 1], 'lmfdb_label': '294.g1', 'torsion': [2, 6]}
  • id: 12358
    {'degree': 16, 'field': [2916, 0, -1944, 0, 9828, 0, -3059, 0, -322, 0, 217, 0, -35, 0, 2, 0, 1], 'lmfdb_label': '294.g1', 'torsion': [12]}
  • id: 12355
    {'degree': 16, 'field': [38416, 0, -76832, 0, 76832, 0, -46648, 0, 17297, 0, -3332, 0, 392, 0, -28, 0, 1], 'lmfdb_label': '294.g1', 'torsion': [2, 16]}
  • id: 12353
    {'degree': 16, 'field': [63001, 0, 14120, 0, -35252, 0, 14168, 0, -434, 0, 56, 0, 28, 0, 8, 0, 1], 'lmfdb_label': '294.g1', 'torsion': [4, 8]}
  • id: 12356
    {'degree': 16, 'field': [104976, 0, -69984, 0, 23328, 0, -21384, 0, 13041, 0, -1188, 0, 72, 0, -12, 0, 1], 'lmfdb_label': '294.g1', 'torsion': [2, 16]}
• 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: 2683
    {'conductor': 294, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '294.g1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2684
    {'conductor': 294, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '294.g1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2685
    {'conductor': 294, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '294.g1', 'prime': 7, '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: 1666986
    {'adelic_gens': [[1, 0, 16, 1], [1, 16, 0, 1], [15, 2, 14, 99], [13, 16, 12, 73], [5, 4, 108, 109], [88, 111, 1, 102], [97, 16, 96, 17], [106, 39, 43, 54]], 'adelic_image': '112.192.1.?', 'conductor': 294, 'lmfdb_label': '294.g1', 'prime': 0}
  • id: 1199
    {'conductor': 294, 'elladic_image': '16.96.0.167', 'lmfdb_label': '294.g1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 294.g does not appear in ec_padic