Elliptic curve data - 235200.mq2

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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': '235200mq', 'Clabel': '235200mq3', 'Cnumber': 3, 'abc_quality': 0.9225005031624207, 'absD': 13832359994880000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 280, 'ainvs': [0, -1, 0, -1961633, 1042891137], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 235200, 'degree': 4718592, 'elladic_images': ['8.12.0.14'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4714375009694753683361073654', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 328, 'isogeny_degrees': [1, 2, 4], 'jinv': [13858588808, 229635], 'lmfdb_iso': '235200.mq', 'lmfdb_label': '235200.mq2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -400, 3172], 'min_quad_twist_disc': 280, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.1', '20.12.0-4.c.1.2', '40.24.0-40.ba.1.7', '56.24.0-56.y.1.12', '280.48.0.?'], '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, 4, 1225], [3, 4, 78400], [5, 18, 9408], [7, 32, 4800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.17267050547516310828848882476', 'prec': 107}, 'szpiro_ratio': 4.453477867600401, '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, -1, 0, 0, 0, 0, 0, 1, 0, 4, 0, 2, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, -1, 0, 0, 4, 2, -2, 0, 0, -6, 8, 2, 6, -4, 0, -6, -8, -2, -4, 4, -10, -12, 4, 6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 235200, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '235200.mq', 'trace_hash': 1691476630711565679}
• 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': '0.0071340584284589422684654463579', 'prec': 110}, 'conductor': 235200, 'gens': [], 'heights': [], 'lmfdb_label': '235200.mq2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.22346791815072527429593795783', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7877433452058021943675036626097846288', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[887, 0, 1]], 'xcoord_integral_points': [887]}
• lmfdb_label 235200.mq2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10174126
    {'degree': 2, 'field': [-70, 0, 1], 'lmfdb_label': '235200.mq2', 'torsion': [2, 2]}
  • id: 10174128
    {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '235200.mq2', 'torsion': [4]}
  • id: 10174127
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '235200.mq2', 'torsion': [4]}
  • id: 10174129
    {'degree': 4, 'field': [155, 30, -29, -2, 1], 'lmfdb_label': '235200.mq2', 'torsion': [2, 4]}
  • id: 10174133
    {'degree': 8, 'field': [-14700, 0, 5320, 0, -420, 0, 0, 0, 1], 'lmfdb_label': '235200.mq2', 'torsion': [6]}
  • id: 10174131
    {'degree': 8, 'field': [211, 4260, -3302, -1856, 779, 176, -54, -4, 1], 'lmfdb_label': '235200.mq2', 'torsion': [2, 8]}
  • id: 10174130
    {'degree': 8, 'field': [2025, 0, 4700, 0, 10, 0, 20, 0, 1], 'lmfdb_label': '235200.mq2', 'torsion': [2, 4]}
  • id: 10174132
    {'degree': 8, 'field': [10000, 0, 0, 0, 920, 0, 0, 0, 1], 'lmfdb_label': '235200.mq2', 'torsion': [8]}
  • id: 10174138
    {'degree': 16, 'field': [-126578990, -773386680, 65814596, 82173472, 117334408, -8261320, -12604852, 2464888, 852556, -409156, -118480, 15784, 6442, -136, -124, 0, 1], 'lmfdb_label': '235200.mq2', 'torsion': [12]}
  • id: 10174135
    {'degree': 16, 'field': [222345, -27540, 808560, -1451820, 929836, -334112, 269280, -148940, 57861, -24520, 9276, -3100, 1026, -260, 60, -8, 1], 'lmfdb_label': '235200.mq2', 'torsion': [2, 8]}
  • id: 10174134
    {'degree': 16, 'field': [19456921, 0, 12361452, 0, -308082, 0, -290496, 0, 29455, 0, 984, 0, -222, 0, 12, 0, 1], 'lmfdb_label': '235200.mq2', 'torsion': [4, 4]}
  • id: 10174136
    {'degree': 16, 'field': [36905625, 0, 83592000, 0, -43586100, 0, -10368000, 0, 1135950, 0, 187840, 0, -6180, 0, 0, 0, 1], 'lmfdb_label': '235200.mq2', 'torsion': [2, 6]}
  • id: 10174137
    {'degree': 16, 'field': [45873521, 109242568, -69688340, -72797200, 20972630, 17517864, -4162928, -1476040, 412175, -19720, -5208, 5096, -910, 0, 20, -8, 1], 'lmfdb_label': '235200.mq2', 'torsion': [12]}
• 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: 5829875
    {'conductor': 235200, 'conductor_valuation': 6, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -9, 'lmfdb_label': '235200.mq2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5829876
    {'conductor': 235200, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '235200.mq2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5829877
    {'conductor': 235200, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '235200.mq2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 5829878
    {'conductor': 235200, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '235200.mq2', '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: 3161155
    {'adelic_gens': [[52, 279, 89, 274], [32, 277, 195, 278], [273, 8, 272, 9], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [104, 237, 245, 244], [104, 237, 31, 2], [7, 6, 274, 275]], 'adelic_image': '280.48.0.?', 'conductor': 235200, 'lmfdb_label': '235200.mq2', 'prime': 0}
  • id: 855044
    {'conductor': 235200, 'elladic_image': '8.12.0.14', 'lmfdb_label': '235200.mq2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 235200.mq does not appear in ec_padic