Elliptic curve data - 235200.qp4

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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': '235200qp', 'Clabel': '235200qp1', 'Cnumber': 1, 'abc_quality': 0.9168589311212159, 'absD': 12711386205000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 280, 'ainvs': [0, 1, 0, 53492, 2615738], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 235200, 'degree': 1179648, 'elladic_images': ['8.12.0.14'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7782903204095300589188752439', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 431, 'isogeny_degrees': [1, 2, 4], 'jinv': [143877824, 108045], 'lmfdb_iso': '235200.qp', 'lmfdb_label': '235200.qp4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 175, -543], '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.h.1', '40.24.0-20.h.1.4', '56.24.0-56.y.1.12', '280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.0749845069394410701686987219', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.34595730061514943564279685517', 'prec': 107}, 'szpiro_ratio': 3.5797833921907287, '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.qp', 'trace_hash': 1444659479470228687}
• 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': '0.028536233713835769073861785432', 'prec': 107}, 'conductor': 235200, 'gens': [[353, 8100, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.0749845069394410701686987219', 'prec': 100}], 'lmfdb_label': '235200.qp4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.25539445617055929562002773257', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.3258276164260261138072777519731992547', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-47, 0, 1]], 'xcoord_integral_points': [-47, 353]}
• lmfdb_label 235200.qp4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10175914
    {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '235200.qp4', 'torsion': [4]}
  • id: 10175913
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '235200.qp4', 'torsion': [2, 2]}
  • id: 10175915
    {'degree': 2, 'field': [70, 0, 1], 'lmfdb_label': '235200.qp4', 'torsion': [4]}
  • id: 10175916
    {'degree': 4, 'field': [361, 0, -18, 0, 1], 'lmfdb_label': '235200.qp4', 'torsion': [2, 4]}
  • id: 10175920
    {'degree': 8, 'field': [-14700, 0, -5320, 0, -420, 0, 0, 0, 1], 'lmfdb_label': '235200.qp4', 'torsion': [6]}
  • id: 10175919
    {'degree': 8, 'field': [1129, -2252, 1612, -524, 228, 44, -20, -4, 1], 'lmfdb_label': '235200.qp4', 'torsion': [2, 8]}
  • id: 10175918
    {'degree': 8, 'field': [3131, -16, 42, -28, -45, 68, -18, -4, 1], 'lmfdb_label': '235200.qp4', 'torsion': [8]}
  • id: 10175917
    {'degree': 8, 'field': [3721, 0, 164, 0, 606, 0, 44, 0, 1], 'lmfdb_label': '235200.qp4', 'torsion': [2, 4]}
  • id: 10175922
    {'degree': 16, 'field': [40905, -218700, 570780, -851580, 791176, -424080, 101592, 63284, -47071, 13016, 4604, -3172, -78, 252, -16, -8, 1], 'lmfdb_label': '235200.qp4', 'torsion': [2, 8]}
  • id: 10175921
    {'degree': 16, 'field': [366025, 0, 716400, 0, 331690, 0, -10260, 0, 9591, 0, 3996, 0, 466, 0, 36, 0, 1], 'lmfdb_label': '235200.qp4', 'torsion': [4, 4]}
  • id: 10175924
    {'degree': 16, 'field': [3515625, 0, 306150000, 0, -159717500, 0, 24492000, 0, 18750, 0, -163280, 0, -300, 0, 0, 0, 1], 'lmfdb_label': '235200.qp4', 'torsion': [12]}
  • id: 10175923
    {'degree': 16, 'field': [4100625, 0, 67797000, 0, 28746900, 0, 18951800, 0, 1239350, 0, 4760, 0, -140, 0, 40, 0, 1], 'lmfdb_label': '235200.qp4', 'torsion': [2, 6]}
  • id: 10175925
    {'degree': 16, 'field': [8113505625, 0, 2352348000, 0, 262873900, 0, -4622400, 0, 4227150, 0, -1440, 0, 3900, 0, 0, 0, 1], 'lmfdb_label': '235200.qp4', '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: 5830659
    {'conductor': 235200, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '235200.qp4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 5830660
    {'conductor': 235200, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '235200.qp4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5830661
    {'conductor': 235200, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '235200.qp4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 5830662
    {'conductor': 235200, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '235200.qp4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 3161362
    {'adelic_gens': [[273, 8, 272, 9], [237, 242, 30, 173], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [39, 272, 156, 247], [32, 167, 183, 196], [104, 277, 275, 278], [7, 6, 274, 275]], 'adelic_image': '280.48.0.?', 'conductor': 235200, 'lmfdb_label': '235200.qp4', 'prime': 0}
  • id: 855226
    {'conductor': 235200, 'elladic_image': '8.12.0.14', 'lmfdb_label': '235200.qp4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 235200.qp does not appear in ec_padic