Elliptic curve data - 300352.cd1

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '300352cd', 'Clabel': '300352cd1', 'Cnumber': 1, 'abc_quality': 1.1175495064733663, 'absD': 34767431346094402961408, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 8, 'ainvs': [0, 1, 0, -2385569345, 44846493312959], 'analytic_rank': 1, 'bad_primes': [2, 13, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 300352, 'degree': 147087360, 'elladic_images': ['8.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8479308016734479096247007036', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 55, 'isogeny_degrees': [1], 'jinv': [-934165699635529, 21632], 'lmfdb_iso': '300352.cd', 'lmfdb_label': '300352.cd1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -103253, 12727405], 'min_quad_twist_disc': 152, 'modell_images': [], 'modm_images': ['8.2.0.a.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.7392006458827162125581300567', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 361], [13, 14, 23104], [19, 92, 832]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.35451088152816289549132966150', 'prec': 103}, 'szpiro_ratio': 6.05672465403685, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -4, 0, -2, 0, -2, 0, 3, 0, -1, 0, -4, 0, -6, 0, 0, 0], 'aplist': [0, 1, -4, -2, 3, -1, -6, 0, 0, -8, -2, -8, 5, -4, 6, 4, -11, -10, -5, 6, -11, -14, 7, 10, 1], 'class_deg': 1, 'class_size': 1, 'conductor': 300352, 'isogeny_matrix': [[1]], 'lmfdb_iso': '300352.cd', 'trace_hash': 1601432326789355723}
• 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': '0.00045470504437266272173025833753', 'prec': 113}, 'conductor': 300352, 'gens': [[21425, 1889672, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '8.7392006458827162125581300567', 'prec': 100}], 'lmfdb_label': '300352.cd1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.084195372129564201395970725191', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9432010019800924496388340594906224590', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [21425]}
• lmfdb_label 300352.cd1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12710353
    {'degree': 3, 'field': [7, 13, -1, 1], 'lmfdb_label': '300352.cd1', 'torsion': [2]}
  • id: 12710354
    {'degree': 6, 'field': [50, 0, 29, 0, -12, 0, 1], 'lmfdb_label': '300352.cd1', 'torsion': [2, 2]}
  • id: 12710355
    {'degree': 8, 'field': [-350892, 0, -50350, 0, -2052, 0, 0, 0, 1], 'lmfdb_label': '300352.cd1', 'torsion': [3]}
  • id: 12710356
    {'degree': 12, 'field': [98192, -40432, -49096, 34656, 3610, -7942, -1653, 1900, 437, -38, -19, 0, 1], 'lmfdb_label': '300352.cd1', 'torsion': [4]}
• 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: 7439602
    {'conductor': 300352, 'conductor_valuation': 6, 'discriminant_valuation': 25, 'j_denominator_valuation': 7, 'kodaira_symbol': -19, 'lmfdb_label': '300352.cd1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7439603
    {'conductor': 300352, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '300352.cd1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7439604
    {'conductor': 300352, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '300352.cd1', 'prime': 19, 'reduction_type': 0, '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: 3553096
    {'adelic_gens': [[5, 2, 5, 3], [1, 2, 0, 1], [7, 2, 6, 3], [1, 0, 2, 1], [1, 1, 7, 0], [7, 2, 7, 3]], 'adelic_image': '8.2.0.?', 'conductor': 300352, 'lmfdb_label': '300352.cd1', 'prime': 0}
  • id: 1059158
    {'conductor': 300352, 'elladic_image': '8.2.0.1', 'lmfdb_label': '300352.cd1', 'modell_image': '2G', 'prime': 2}
• lmfdb_iso 300352.cd does not appear in ec_padic