Elliptic curve data - 2925.m2

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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': '2925c', 'Clabel': '2925c1', 'Cnumber': 1, 'abc_quality': 0.8639940490599982, 'absD': 2498818359375, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [1, -1, 0, -5442, 173591], 'analytic_rank': 0, 'bad_primes': [3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 2925, 'degree': 4608, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1102296383337503561310581827', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2], 'jinv': [-57960603, 8125], 'lmfdb_iso': '2925.m', 'lmfdb_label': '2925.m2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -218, 1432], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '52.6.0.e.1', '78.6.0.?', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.51844853438438209971575541161', 'prec': 107}, 'szpiro_ratio': 4.715710872367509, '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, 0, -1, 0, 0, -2, -3, 0, 0, -4, 0, 1, -2, 0, -1, 4, 0, 6, 0], 'aplist': [1, 0, 0, -2, -4, 1, 4, 6, 0, -4, -10, 2, -6, 8, 8, 4, 12, 2, 10, 0, 6, 12, 4, 14, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 2925, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '2925.m', 'trace_hash': 753909572771238163}
• 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': '0.10855923864837750087747308356', 'prec': 103}, 'conductor': 2925, 'gens': [], 'heights': [], 'lmfdb_label': '2925.m2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.78729350784926515036034575567', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5745870156985303007206915113459664172', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-86, 43, 1]], 'xcoord_integral_points': [-86]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': 'a', '5': 'a', '13': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '2925.m2'}
• ec_torsion_growth •

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

  
  
  • id: 152903
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '2925.m2', 'torsion': [2, 2]}
  • id: 152904
    {'degree': 4, 'field': [-59, -8, 9, -2, 1], 'lmfdb_label': '2925.m2', 'torsion': [4]}
  • id: 152907
    {'degree': 8, 'field': [-169, 169, -208, 77, -35, -7, 7, -4, 1], 'lmfdb_label': '2925.m2', 'torsion': [6]}
  • id: 152905
    {'degree': 8, 'field': [1249, -2048, 211, 634, 52, 40, 7, -2, 1], 'lmfdb_label': '2925.m2', 'torsion': [2, 4]}
  • id: 152906
    {'degree': 8, 'field': [8986, 3632, 4291, 269, 841, -28, 49, -1, 1], 'lmfdb_label': '2925.m2', 'torsion': [2, 4]}
  • id: 152908
    {'degree': 16, 'field': [-59, 456, -1274, 1444, -476, 360, -1046, -84, 2425, -3832, 3358, -1892, 740, -224, 52, -8, 1], 'lmfdb_label': '2925.m2', 'torsion': [8]}
  • id: 152909
    {'degree': 16, 'field': [1171, 6572, 7182, -38735, 32234, -1899, 14019, -18729, 435, 1397, 2686, -1032, 384, -90, 33, -4, 1], 'lmfdb_label': '2925.m2', '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: 52316
    {'conductor': 2925, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '2925.m2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 52317
    {'conductor': 2925, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '2925.m2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 52318
    {'conductor': 2925, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2925.m2', '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: 1683118
    {'adelic_gens': [[1, 2, 2, 5], [134, 1, 11, 0], [3, 4, 8, 11], [153, 4, 152, 5], [56, 1, 103, 0], [121, 40, 116, 39], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '156.12.0.?', 'conductor': 2925, 'lmfdb_label': '2925.m2', 'prime': 0}
  • id: 14741
    {'conductor': 2925, 'elladic_image': '2.3.0.1', 'lmfdb_label': '2925.m2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 2925.m does not appear in ec_padic