Elliptic curve data - 377520.e3

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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': '377520e', 'Clabel': '377520e1', 'Cnumber': 1, 'abc_quality': 0.918410914019147, 'absD': 746181493200, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3432, 'ainvs': [0, -1, 0, -13471, 604870], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 377520, 'degree': 983040, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1511206810512674562953603756', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [9538484224, 26325], 'lmfdb_iso': '377520.e', 'lmfdb_label': '377520.e3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -111, 414], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.ba.1', '26.6.0.b.1', '44.12.0-4.c.1.1', '52.12.0.g.1', '264.24.0.?', '312.24.0.?', '572.24.0.?', '3432.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1573], [3, 4, 125840], [5, 6, 75504], [11, 62, 3120], [13, 14, 29040]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27887601553456625220802212053', 'prec': 107}, 'szpiro_ratio': 3.125720479479961, '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, -1, 0, -4, 0, 1, 0, 0, 0, -1, 0, 1, 0, 6, 0, 0, 0], 'aplist': [0, -1, -1, -4, 0, -1, 6, 0, 8, -6, 4, -2, 10, -4, 8, -2, -12, 2, 16, 8, 6, -16, 4, -2, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 377520, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '377520.e', 'trace_hash': 1517552563052166536}
• 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': '0.10003437899737429296889647459', 'prec': 103}, 'conductor': 377520, 'gens': [], 'heights': [], 'lmfdb_label': '377520.e3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.90279744407771864992958957665', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8055948881554372998591791533019777567', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[70, 0, 1]], 'xcoord_integral_points': [70]}
• lmfdb_label 377520.e3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15643179
    {'degree': 2, 'field': [-143, 0, 1], 'lmfdb_label': '377520.e3', 'torsion': [4]}
  • id: 15643178
    {'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '377520.e3', 'torsion': [4]}
  • id: 15643177
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '377520.e3', 'torsion': [2, 2]}
  • id: 15643180
    {'degree': 4, 'field': [53, 28, -27, -2, 1], 'lmfdb_label': '377520.e3', 'torsion': [2, 4]}
  • id: 15643184
    {'degree': 8, 'field': [-3557763, 0, -910404, 0, -6534, 0, 0, 0, 1], 'lmfdb_label': '377520.e3', 'torsion': [6]}
  • id: 15643182
    {'degree': 8, 'field': [550, 2200, -1520, -1310, 531, 146, -44, -4, 1], 'lmfdb_label': '377520.e3', 'torsion': [8]}
  • id: 15643183
    {'degree': 8, 'field': [20164, 0, 1553, 0, 384, 0, 20, 0, 1], 'lmfdb_label': '377520.e3', 'torsion': [8]}
  • id: 15643181
    {'degree': 8, 'field': [103431, -10508, 9912, 1180, -559, -40, 18, -4, 1], 'lmfdb_label': '377520.e3', 'torsion': [2, 4]}
  • id: 15643190
    {'degree': 16, 'field': [-47479985053947, -23094148211928, 7338760840404, 2214675701460, -403685777700, 104108706864, -9597249936, -53466948, -153134622, -23219880, 10396812, -665580, -15560, 4144, -280, -4, 1], 'lmfdb_label': '377520.e3', 'torsion': [12]}
  • id: 15643189
    {'degree': 16, 'field': [115600, 0, -501863776, 0, 99658000, 0, -10930528, 0, 1053832, 0, -78280, 0, 3280, 0, -88, 0, 1], 'lmfdb_label': '377520.e3', 'torsion': [12]}
  • id: 15643186
    {'degree': 16, 'field': [279841, 0, 278254, 0, 251813, 0, 26838, 0, 2732, 0, -1146, 0, -43, 0, -2, 0, 1], 'lmfdb_label': '377520.e3', 'torsion': [2, 8]}
  • id: 15643187
    {'degree': 16, 'field': [1437601, 0, -15674912, 0, 19988930, 0, -8049792, 0, 1455779, 0, -131328, 0, 5990, 0, -128, 0, 1], 'lmfdb_label': '377520.e3', 'torsion': [2, 8]}
  • id: 15643185
    {'degree': 16, 'field': [73102500, 0, -42300000, 0, 9228100, 0, -911700, 0, 21821, 0, -636, 0, 566, 0, 24, 0, 1], 'lmfdb_label': '377520.e3', 'torsion': [4, 4]}
  • id: 15643188
    {'degree': 16, 'field': [43884945139689, -2275722138024, 3118927740732, -1697322318408, 875897547930, -32565837096, 10653103332, 184920576, -60854801, 9891136, -2119916, 77680, -13250, 112, 4, -8, 1], 'lmfdb_label': '377520.e3', 'torsion': [2, 6]}
• 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: 9339906
    {'conductor': 377520, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '377520.e3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9339907
    {'conductor': 377520, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '377520.e3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9339908
    {'conductor': 377520, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '377520.e3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9339909
    {'conductor': 377520, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '377520.e3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9339910
    {'conductor': 377520, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '377520.e3', 'prime': 13, '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: 4011881
    {'adelic_gens': [[7, 6, 3426, 3427], [3425, 8, 3424, 9], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [848, 627, 1661, 2498], [967, 660, 2530, 505], [1145, 2816, 836, 969], [1915, 1914, 2002, 595], [2495, 0, 0, 3431]], 'adelic_image': '3432.48.0.?', 'conductor': 377520, 'lmfdb_label': '377520.e3', 'prime': 0}
  • id: 1292783
    {'conductor': 377520, 'elladic_image': '4.6.0.1', 'lmfdb_label': '377520.e3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 377520.e does not appear in ec_padic