Elliptic curve data - 382200.el2

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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': '382200el', 'Clabel': '382200el4', 'Cnumber': 4, 'abc_quality': 0.9088512866246324, 'absD': 4233818092140000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3640, 'ainvs': [0, -1, 0, -5018008, -2984767988], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 382200, 'degree': 23592960, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8548485270107360885313611186', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 115, 'isogeny_degrees': [1, 2, 4], 'jinv': [3711757787138, 1124589375], 'lmfdb_iso': '382200.el', 'lmfdb_label': '382200.el2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -4096, 71020], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.1', '56.12.0.s.1', '104.12.0.?', '280.24.0.?', '520.24.0.?', '728.24.0.?', '3640.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.44178958075274604837917563559', 'prec': 103}, 'szpiro_ratio': 4.504480199246133, '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, -1, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, -1, 0, 0, 4, -1, 6, 4, -4, -10, -8, -6, 2, 4, 0, -2, 4, -10, -4, 12, 10, 0, -16, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 382200, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '382200.el', 'trace_hash': 990304130913801704}
• 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': '0.0033136762577532594284954600290', 'prec': 110}, 'conductor': 382200, 'gens': [], 'heights': [], 'lmfdb_label': '382200.el2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.10324206112557600796514863140', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6518729780092161274423781023760745820', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-1843, 0, 1]], 'xcoord_integral_points': [-1843]}
• lmfdb_label 382200.el2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15822827
    {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '382200.el2', 'torsion': [2, 2]}
  • id: 15822828
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '382200.el2', 'torsion': [4]}
  • id: 15822829
    {'degree': 2, 'field': [70, 0, 1], 'lmfdb_label': '382200.el2', 'torsion': [4]}
  • id: 15822830
    {'degree': 4, 'field': [361, 0, -18, 0, 1], 'lmfdb_label': '382200.el2', 'torsion': [2, 4]}
  • id: 15822834
    {'degree': 8, 'field': [-483110, -249100, -58154, -12214, -1550, -40, -20, -4, 1], 'lmfdb_label': '382200.el2', 'torsion': [6]}
  • id: 15822831
    {'degree': 8, 'field': [14995, 2020, -2266, 496, -257, 8, 2, -4, 1], 'lmfdb_label': '382200.el2', 'torsion': [2, 4]}
  • id: 15822832
    {'degree': 8, 'field': [34596, 0, -7984, 0, 381, 0, 6, 0, 1], 'lmfdb_label': '382200.el2', 'torsion': [8]}
  • id: 15822833
    {'degree': 8, 'field': [3048516, 0, -169776, 0, 2826, 0, 144, 0, 1], 'lmfdb_label': '382200.el2', 'torsion': [8]}
  • id: 15822838
    {'degree': 16, 'field': [-80609111516, 325397816864, 14135413640, 98959277688, 3185835908, -220913672, 166321996, 31970040, 472288, -782832, -251684, -54556, 4340, 864, -136, -8, 1], 'lmfdb_label': '382200.el2', 'torsion': [2, 6]}
  • id: 15822835
    {'degree': 16, 'field': [224850025, 0, 72037740, 0, -4576514, 0, -946368, 0, 95199, 0, 1656, 0, -446, 0, 12, 0, 1], 'lmfdb_label': '382200.el2', 'torsion': [4, 4]}
  • id: 15822836
    {'degree': 16, 'field': [605160000, 0, -138804800, 0, 24588336, 0, -104672, 0, 309004, 0, -3236, 0, 1069, 0, 48, 0, 1], 'lmfdb_label': '382200.el2', 'torsion': [2, 8]}
  • id: 15822840
    {'degree': 16, 'field': [2176035904, 0, 22990900352, 0, 2064475840, 0, 56241024, 0, 4280640, 0, 318696, 0, 8428, 0, 140, 0, 1], 'lmfdb_label': '382200.el2', 'torsion': [12]}
  • id: 15822839
    {'degree': 16, 'field': [27371386249, 0, 1611788512, 0, 323050420, 0, -13802936, 0, -1425410, 0, 61936, 0, -812, 0, 40, 0, 1], 'lmfdb_label': '382200.el2', 'torsion': [12]}
  • id: 15822837
    {'degree': 16, 'field': [4148330195025, 0, -153543846240, 0, 15429069216, 0, -136620432, 0, 10234674, 0, 69984, 0, 6624, 0, 48, 0, 1], 'lmfdb_label': '382200.el2', 'torsion': [2, 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: 9455716
    {'conductor': 382200, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '382200.el2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9455717
    {'conductor': 382200, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '382200.el2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9455718
    {'conductor': 382200, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '382200.el2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 9455719
    {'conductor': 382200, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '382200.el2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9455720
    {'conductor': 382200, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '382200.el2', 'prime': 13, '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: 4039555
    {'adelic_gens': [[1556, 3639, 2577, 3634], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [1368, 3193, 1393, 1440], [456, 2283, 1369, 1398], [7, 6, 3634, 3635], [2183, 3632, 1452, 3607], [561, 8, 2244, 33], [3633, 8, 3632, 9]], 'adelic_image': '3640.48.0.?', 'conductor': 382200, 'lmfdb_label': '382200.el2', 'prime': 0}
  • id: 1306939
    {'conductor': 382200, 'elladic_image': '4.6.0.1', 'lmfdb_label': '382200.el2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 382200.el does not appear in ec_padic