Elliptic curve data - 369600.ov1

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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': '369600ov', 'Clabel': '369600ov4', 'Cnumber': 4, 'abc_quality': 1.0727281429954891, 'absD': 278690352996657659904000, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 9240, 'ainvs': [0, 1, 0, -425905793, -3383174665857], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 369600, 'degree': 73728000, 'elladic_images': ['2.3.0.1', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5927228956905917617410426477', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 10, 'iso_nlabel': 385, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [260744057755293612689909, 8504954620259328], 'lmfdb_iso': '369600.ov', 'lmfdb_label': '369600.ov1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -6654778, 6606931172], 'min_quad_twist_disc': -8, 'modell_images': ['2B', '5B.4.1'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.1', '10.36.0.a.2', '40.72.0-10.a.2.11', '60.72.1.cf.1', '120.144.1.?', '924.6.0.?', '1540.72.1.?', '3080.144.1.?', '4620.144.5.?', '9240.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.602027422140965934054033089', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1506426467421487039650046322', 'prec': 100}, 'szpiro_ratio': 5.555523247680035, '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, -1, 0, 1, 0, 1, 0, -4, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, 1, 0, -1, 1, -4, -2, 0, 6, 0, -2, -8, 2, 4, -8, 6, 0, -2, 8, 8, 4, -10, -6, 0, -2], 'class_deg': 10, 'class_size': 4, 'conductor': 369600, 'isogeny_matrix': [[1, 2, 5, 10], [2, 1, 10, 5], [5, 10, 1, 2], [10, 5, 2, 1]], 'lmfdb_iso': '369600.ov', 'trace_hash': 2086851646716585272}
• 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': '0.00075753123176249738797686656884', 'prec': 113}, 'conductor': 369600, 'gens': [[-10003731, 218894244, 29]], 'heights': [{'__RealLiteral__': 0, 'data': '13.602027422140965934054033089', 'prec': 100}], 'lmfdb_label': '369600.ov1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.033233189024686527221288929453', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.0407749687796065150076131564084065904', 'prec': 130}, 'tamagawa_product': 80, 'torsion_generators': [[-11967, 0, 1]], 'xcoord_integral_points': [-11967]}
• lmfdb_label 369600.ov1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15345756
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '369600.ov1', 'torsion': [2, 2]}
  • id: 15345757
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '369600.ov1', 'torsion': [10]}
  • id: 15345759
    {'degree': 4, 'field': [49, 0, 16, 0, 1], 'lmfdb_label': '369600.ov1', 'torsion': [2, 10]}
  • id: 15345758
    {'degree': 4, 'field': [3840, 0, 130, 0, 1], 'lmfdb_label': '369600.ov1', 'torsion': [4]}
  • id: 15345762
    {'degree': 8, 'field': [-4177200, 0, 663200, 0, -7080, 0, 0, 0, 1], 'lmfdb_label': '369600.ov1', 'torsion': [6]}
  • id: 15345760
    {'degree': 8, 'field': [-14, 116, -350, 464, -221, -16, 10, -4, 1], 'lmfdb_label': '369600.ov1', 'torsion': [2, 4]}
  • id: 15345763
    {'degree': 8, 'field': [16, 0, 7418, 0, 3729, 0, 122, 0, 1], 'lmfdb_label': '369600.ov1', 'torsion': [20]}
  • id: 15345761
    {'degree': 8, 'field': [1600, 0, 24400, 0, 6705, 0, 160, 0, 1], 'lmfdb_label': '369600.ov1', 'torsion': [2, 4]}
  • id: 15345766
    {'degree': 16, 'field': [54216, -144288, 256680, -281304, 294438, -218844, 128094, -43116, 5425, 3628, -422, -644, 532, -224, 52, -8, 1], 'lmfdb_label': '369600.ov1', 'torsion': [2, 20]}
  • id: 15345768
    {'degree': 16, 'field': [156650256, 0, 17141597496, 0, 10040229972, 0, 135632168, 0, 1672100, 0, -197908, 0, -1328, 0, 4, 0, 1], 'lmfdb_label': '369600.ov1', 'torsion': [30]}
  • id: 15345767
    {'degree': 16, 'field': [1702882756, 0, 194163692, 0, 221559365, 0, -12632418, 0, 8639579, 0, -584352, 0, 15995, 0, -202, 0, 1], 'lmfdb_label': '369600.ov1', 'torsion': [2, 20]}
  • id: 15345764
    {'degree': 16, 'field': [173269057536, 0, 38133343744, 0, 3422464220, 0, 180356736, 0, 9077649, 0, 291816, 0, 7350, 0, 104, 0, 1], 'lmfdb_label': '369600.ov1', 'torsion': [8]}
  • id: 15345765
    {'degree': 16, 'field': [933011105625, 0, -2490539197500, 0, -53296096500, 0, -2396884500, 0, -8633250, 0, -36900, 0, 17980, 0, -140, 0, 1], 'lmfdb_label': '369600.ov1', 'torsion': [2, 6]}
  • id: 15345769
    {'degree': 20, 'field': [1848320, 0, 1172480, 0, 358656, 0, -52480, 0, -55296, 0, -75360, 0, -24144, 0, -4960, 0, -516, 0, -10, 0, 1], 'lmfdb_label': '369600.ov1', 'torsion': [10]}
• 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: 9145207
    {'conductor': 369600, 'conductor_valuation': 6, 'discriminant_valuation': 28, 'j_denominator_valuation': 10, 'kodaira_symbol': -22, 'lmfdb_label': '369600.ov1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9145208
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '369600.ov1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 9145209
    {'conductor': 369600, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '369600.ov1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9145210
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '369600.ov1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9145211
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '369600.ov1', 'prime': 11, 'reduction_type': 1, '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: 3964794
    {'adelic_gens': [[6, 13, 2995, 4436], [4619, 0, 0, 9239], [1866, 5, 295, 82], [1, 0, 20, 1], [2521, 6, 0, 1], [1, 20, 0, 1], [11, 16, 9000, 8891], [9221, 20, 9220, 21], [8579, 9234, 0, 9239], [4639, 9220, 4640, 9219], [6, 5, 2365, 46], [9229, 9224, 4860, 4969], [1, 10, 10, 101]], 'adelic_image': '9240.288.5.?', 'conductor': 369600, 'lmfdb_label': '369600.ov1', 'prime': 0}
  • id: 1269328
    {'conductor': 369600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '369600.ov1', 'modell_image': '2B', 'prime': 2}
  • id: 1269329
    {'conductor': 369600, 'elladic_image': '5.12.0.1', 'lmfdb_label': '369600.ov1', 'modell_image': '5B.4.1', 'prime': 5}
• lmfdb_iso 369600.ov does not appear in ec_padic