Elliptic curve data - 546.g3

Formats: - HTML - YAML - JSON - 2023-03-28T04:59:50.131958

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '546g', 'Clabel': '546g1', 'Cnumber': 1, 'absD': 4368, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [1, 0, 0, -7, -7], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 546, 'degree': 48, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.56917452640941281001884024555', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [38272753, 4368], 'lmfdb_iso': '546.g', 'lmfdb_label': '546.g3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -7, -7], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['1.1.0.1', '2.3.0.1', '4.6.0.1', '8.12.0.12', '28.12.0.8', '56.24.0.?', '156.12.0.?', '312.24.0.?', '546.6.0.?', '1092.24.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.56917452640941281001884024555', 'prec': 107}, '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, 1, 1, 1, 2, -4, 1, -1, 1, 2, 1, 6, 1, -4, 2], 'aplist': [1, 1, 2, 1, -4, -1, 6, -4, 0, -6, -8, 10, -6, 4, 4, 10, 4, -6, -8, 0, -10, -8, 4, -6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 546, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '546.g', 'trace_hash': 35829681598651237}
• 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': '3.1216104946249341149840316568', 'prec': 100}, 'conductor': 546, 'gens': [], 'heights': [], 'lmfdb_label': '546.g3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '2.9547312603904991530188126999', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9547312603904991530188126999466613364', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-2, 1, 1]], 'xcoord_integral_points': [-2]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [1, 0], '7': [1, 0], '13': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '546.g3'}
• ec_torsion_growth •

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

  
  
  • id: 24611
    {'degree': 2, 'field': [-68, -1, 1], 'lmfdb_label': '546.g3', 'torsion': [2, 2]}
  • id: 24612
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '546.g3', 'torsion': [4]}
  • id: 24613
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '546.g3', 'torsion': [4]}
  • id: 24614
    {'degree': 4, 'field': [64, 0, 23, 0, 1], 'lmfdb_label': '546.g3', 'torsion': [2, 4]}
  • id: 24618
    {'degree': 8, 'field': [-48, 0, 92, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '546.g3', 'torsion': [6]}
  • id: 24616
    {'degree': 8, 'field': [196, 0, -196, 0, 77, 0, 14, 0, 1], 'lmfdb_label': '546.g3', 'torsion': [8]}
  • id: 24617
    {'degree': 8, 'field': [768, -1920, 2472, -1152, 697, -148, 54, -4, 1], 'lmfdb_label': '546.g3', 'torsion': [8]}
  • id: 24615
    {'degree': 8, 'field': [50176, 0, -24304, 0, -252, 0, -28, 0, 1], 'lmfdb_label': '546.g3', 'torsion': [2, 4]}
  • id: 24619
    {'degree': 16, 'field': [65536, 0, 0, 0, -123392, 0, 0, 0, 128481, 0, 0, 0, -482, 0, 0, 0, 1], 'lmfdb_label': '546.g3', 'torsion': [4, 4]}
  • id: 24620
    {'degree': 16, 'field': [65536, 0, 57344, 0, 7424, 0, -33600, 0, 19652, 0, -2100, 0, 29, 0, 14, 0, 1], 'lmfdb_label': '546.g3', 'torsion': [2, 8]}
  • id: 24621
    {'degree': 16, 'field': [65536, 0, 319488, 0, 525568, 0, 386880, 0, 137412, 0, 24180, 0, 2053, 0, 78, 0, 1], 'lmfdb_label': '546.g3', 'torsion': [2, 8]}
  • id: 24623
    {'degree': 16, 'field': [90944, -69776, 88396, -41664, 32200, -15232, 9976, -8912, 8661, -5264, 2276, -1000, 470, -168, 44, -8, 1], 'lmfdb_label': '546.g3', 'torsion': [12]}
  • id: 24624
    {'degree': 16, 'field': [97344, 0, 27456, 0, -76688, 0, 14556, 0, 26652, 0, 5248, 0, 141, 0, 9, 0, 1], 'lmfdb_label': '546.g3', 'torsion': [12]}
  • id: 24622
    {'degree': 16, 'field': [53443068, -25464936, 24942204, 1257648, -1170876, 684684, -290807, 65512, -32982, 13790, -5431, 1380, -139, -70, 30, -8, 1], 'lmfdb_label': '546.g3', '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: 6189
    {'conductor': 546, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '546.g3', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6190
    {'conductor': 546, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '546.g3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 6191
    {'conductor': 546, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '546.g3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 6192
    {'conductor': 546, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '546.g3', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1668268
    {'adelic_gens': [[1369, 1368, 286, 1375], [1, 0, 8, 1], [2177, 8, 2176, 9], [1, 8, 0, 1], [628, 1, 335, 6], [1, 4, 4, 17], [736, 3, 733, 2], [848, 3, 1349, 2], [7, 6, 2178, 2179], [827, 822, 1370, 275]], 'adelic_image': '2184.48.0.?', 'conductor': 546, 'lmfdb_label': '546.g3', 'prime': 0}
  • id: 2448
    {'conductor': 546, 'elladic_image': '8.12.0.12', 'lmfdb_label': '546.g3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 546.g does not appear in ec_padic