Elliptic curve data - 302400.b1

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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': '302400b', 'Clabel': '302400b1', 'Cnumber': 1, 'abc_quality': 0.8155467192780868, 'absD': 28217548800000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 168, 'ainvs': [0, 0, 0, -175500, -29430000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 302400, 'degree': 3110400, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9194102488538456690811597438', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3], 'jinv': [-296595, 14], 'lmfdb_iso': '302400.b', 'lmfdb_label': '302400.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -12, -14], 'min_quad_twist_disc': 120, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.4', '42.8.0-3.a.1.1', '168.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 4725], [3, 2, 1120], [5, 14, 12096], [7, 8, 43200]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0172283467765548133249619216', 'prec': 103}, 'szpiro_ratio': 3.7971530794720865, '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, 0, 0, 0, 0, -1, 0, 0, 0, -6, 0, -5, 0, 0, 0, -6, 0, 2, 0], 'aplist': [0, 0, 0, -1, -6, -5, -6, 2, 0, 9, -5, 4, 3, -4, 6, -9, 12, 7, 5, -9, -4, 10, 3, 9, -4], 'class_deg': 3, 'class_size': 2, 'conductor': 302400, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '302400.b', 'trace_hash': 2037341745196501401}
• 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': '0.021518968054251322106134623998', 'prec': 107}, 'conductor': 302400, 'gens': [], 'heights': [], 'lmfdb_label': '302400.b1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.11630689916899111109432108752', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.69784139501394666656592652513080969746', 'prec': 133}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 302400.b1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12784592
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '302400.b1', 'torsion': [3]}
  • id: 12784593
    {'degree': 3, 'field': [-30, 15, 0, 1], 'lmfdb_label': '302400.b1', 'torsion': [2]}
  • id: 12784595
    {'degree': 6, 'field': [-4374, 0, 328, 0, -2, 0, 1], 'lmfdb_label': '302400.b1', 'torsion': [3]}
  • id: 12784594
    {'degree': 6, 'field': [42, 0, -3, 0, 24, 0, 1], 'lmfdb_label': '302400.b1', 'torsion': [2, 2]}
  • id: 12784596
    {'degree': 6, 'field': [1238, -540, 237, -60, 36, 0, 1], 'lmfdb_label': '302400.b1', 'torsion': [6]}
  • id: 12784597
    {'degree': 12, 'field': [-172032, 0, -97920, 0, 31632, 0, -2400, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '302400.b1', 'torsion': [4]}
  • id: 12784599
    {'degree': 12, 'field': [8836, 0, 15270, 0, 8193, 0, 2380, 0, 378, 0, 30, 0, 1], 'lmfdb_label': '302400.b1', 'torsion': [2, 6]}
  • id: 12784598
    {'degree': 12, 'field': [26244, 0, -99144, 0, 381996, 0, 28476, 0, 1504, 0, 46, 0, 1], 'lmfdb_label': '302400.b1', 'torsion': [3, 3]}
  • id: 12784601
    {'degree': 18, 'field': [-1520531720, -522237840, 768000060, 179386944, -203966598, -22011300, 38687217, 1515684, -5222772, -30400, 435531, -5112, -17922, -444, 315, -12, 12, 0, 1], 'lmfdb_label': '302400.b1', 'torsion': [6]}
  • id: 12784600
    {'degree': 18, 'field': [340131, -475794, 802215, -678744, 613719, -345168, 208095, -69228, 22635, 5972, -5508, 3852, -660, -54, 153, -24, 0, 0, 1], 'lmfdb_label': '302400.b1', 'torsion': [9]}
• 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: 7487178
    {'conductor': 302400, 'conductor_valuation': 6, 'discriminant_valuation': 19, 'j_denominator_valuation': 1, 'kodaira_symbol': -13, 'lmfdb_label': '302400.b1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7487179
    {'conductor': 302400, 'conductor_valuation': 3, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '302400.b1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 7487180
    {'conductor': 302400, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '302400.b1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 7487181
    {'conductor': 302400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '302400.b1', 'prime': 7, 'reduction_type': -1, '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: 3564724
    {'adelic_gens': [[41, 162, 123, 149], [83, 162, 81, 149], [73, 6, 51, 19], [1, 0, 6, 1], [46, 117, 167, 62], [4, 3, 9, 7], [163, 6, 162, 7], [3, 4, 8, 11], [165, 166, 158, 161], [1, 6, 0, 1]], 'adelic_image': '168.16.0.?', 'conductor': 302400, 'lmfdb_label': '302400.b1', 'prime': 0}
  • id: 1065027
    {'conductor': 302400, 'elladic_image': '3.4.0.1', 'lmfdb_label': '302400.b1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 302400.b does not appear in ec_padic