Elliptic curve data - 29925.m1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '29925d', 'Clabel': '29925d1', 'Cnumber': 1, 'abc_quality': 0.8630861270144805, 'absD': 392765625, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 228, 'ainvs': [1, -1, 1, -1430, -20428], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 29925, 'degree': 18432, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.55933627623732913844789907386', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2], 'jinv': [766060875, 931], 'lmfdb_iso': '29925.m', 'lmfdb_label': '29925.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -515, 4618], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.c.1', '76.6.0.?', '114.6.0.?', '228.12.0.?'], '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': False, 'serre_invariants': [[2, 2, 1425], [3, 6, 3325], [5, 14, 1197], [7, 8, 4275], [19, 20, 1575]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.52003575214674847170129190198', 'prec': 107}, 'szpiro_ratio': 3.2415854206442725, '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, -1, 3, 0, 0, 2, 0, 6, 1, 0, -1, 8, 0, 1, 0], 'aplist': [-1, 0, 0, -1, 2, 6, 8, 1, -6, -6, 0, 2, -2, 4, -2, 6, 4, -14, 4, 8, 14, -12, 6, 14, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 29925, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '29925.m', 'trace_hash': 1499485121998269941}
• 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': '0.32671320152779963308626004715', 'prec': 103}, 'conductor': 29925, 'gens': [], 'heights': [], 'lmfdb_label': '29925.m1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.77646336039750692576417837958', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5529267207950138515283567591479370841', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-21, 10, 1]], 'xcoord_integral_points': [-21]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [9, 0], '3': 'a', '5': 'a', '7': [0, 0], '19': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '29925.m1'}
• ec_torsion_growth •

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

  
  
  • id: 1496083
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '29925.m1', 'torsion': [2, 2]}
  • id: 1496084
    {'degree': 4, 'field': [91, 11, -18, -1, 1], 'lmfdb_label': '29925.m1', 'torsion': [4]}
  • id: 1496085
    {'degree': 8, 'field': [-50396, 313160, -67795, -9394, 3739, -20, -109, -2, 1], 'lmfdb_label': '29925.m1', 'torsion': [2, 4]}
  • id: 1496087
    {'degree': 8, 'field': [-1425, 2475, -2205, 1260, -534, 162, -22, -3, 1], 'lmfdb_label': '29925.m1', 'torsion': [6]}
  • id: 1496086
    {'degree': 8, 'field': [196, 378, 313, 135, 66, 15, -2, -3, 1], 'lmfdb_label': '29925.m1', 'torsion': [2, 4]}
  • id: 1496089
    {'degree': 16, 'field': [4761, 0, 23256, 0, 27414, 0, -33291, 0, 10209, 0, -3189, 0, 529, 0, -71, 0, 1], 'lmfdb_label': '29925.m1', 'torsion': [2, 6]}
  • id: 1496088
    {'degree': 16, 'field': [1269751, -1839276, 3281794, -3338300, 2902678, -1774212, 1121254, -537252, 245815, -86596, 30286, -7988, 2120, -392, 76, -8, 1], 'lmfdb_label': '29925.m1', 'torsion': [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: 696385
    {'conductor': 29925, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '29925.m1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 696386
    {'conductor': 29925, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '29925.m1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 696387
    {'conductor': 29925, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '29925.m1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 696388
    {'conductor': 29925, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '29925.m1', 'prime': 19, '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: 1864052
    {'adelic_gens': [[1, 2, 2, 5], [194, 1, 131, 0], [3, 4, 8, 11], [225, 4, 224, 5], [173, 58, 56, 171], [1, 4, 0, 1], [80, 1, 151, 0], [1, 0, 4, 1]], 'adelic_image': '228.12.0.?', 'conductor': 29925, 'lmfdb_label': '29925.m1', 'prime': 0}
  • id: 134685
    {'conductor': 29925, 'elladic_image': '2.3.0.1', 'lmfdb_label': '29925.m1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 29925.m does not appear in ec_padic