Elliptic curve data - 364815.z2

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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': '364815z', 'Clabel': '364815z2', 'Cnumber': 2, 'abc_quality': 0.9578467147857307, 'absD': 42791331955443526125, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4020, 'ainvs': [1, -1, 0, 356625, -303955250], 'analytic_rank': 1, 'bad_primes': [3, 5, 11, 67], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 364815, 'degree': 8294400, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4482478249286659098570574048', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 25, 'isogeny_degrees': [1, 2], 'jinv': [3883959939959, 33133870125], 'lmfdb_iso': '364815.z', 'lmfdb_label': '364815.z2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 328, -8319], 'min_quad_twist_disc': 33, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.a.1', '804.6.0.?', '4020.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.380203250993719294259462793', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 5445], [3, 8, 8107], [5, 6, 72963], [11, 62, 3015], [67, 68, 5445]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.69999404419542579212846299735', 'prec': 103}, 'szpiro_ratio': 4.106093763427001, '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, 1, 0, -1, -1, 0, 0, -3, 0, -1, 0, 0, -4, 0, 0, -1, -4, 0, -4, 1], 'aplist': [1, 0, -1, 0, 0, -4, -4, -4, -8, -2, 2, 6, 6, 0, -12, 2, 6, -14, -1, -14, -2, 10, -16, 18, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 364815, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '364815.z', 'trace_hash': 624701833432784131}
• 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': '0.0074727242825985632281529796205', 'prec': 110}, 'conductor': 364815, 'gens': [[347901, 204577915, 4]], 'heights': [{'__RealLiteral__': 0, 'data': '10.380203250993719294259462793', 'prec': 100}], 'lmfdb_label': '364815.z2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10061126983313680975284549499', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1774617208341321213770063734351375072', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[2003, -2003, 2]], 'xcoord_integral_points': []}
• lmfdb_label 364815.z2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15166601
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '364815.z2', 'torsion': [2, 2]}
  • id: 15166602
    {'degree': 4, 'field': [148, -862, 66, -1, 1], 'lmfdb_label': '364815.z2', 'torsion': [4]}
  • id: 15166605
    {'degree': 8, 'field': [-198293, 46169, -47666, 2993, -1493, -7, 7, -4, 1], 'lmfdb_label': '364815.z2', 'torsion': [6]}
  • id: 15166603
    {'degree': 8, 'field': [3696894, -693882, 794535, -98310, 7201, -1886, 153, -2, 1], 'lmfdb_label': '364815.z2', 'torsion': [2, 4]}
  • id: 15166604
    {'degree': 8, 'field': [9272025, 0, -58500, 0, -485, 0, 100, 0, 1], 'lmfdb_label': '364815.z2', 'torsion': [2, 4]}
  • id: 15166606
    {'degree': 16, 'field': [-60825647035584, -10240162477056, 7642911659904, 905493559680, -128985172512, 30713233008, -14191648992, -2524087848, 478677877, -56888026, 8824672, -1072750, 58525, -5914, 460, -4, 1], 'lmfdb_label': '364815.z2', 'torsion': [8]}
  • id: 15166607
    {'degree': 16, 'field': [4976450649, -20607703704, 23676154107, -6421588626, 3931533978, -890086638, 338519877, -35494344, 8414245, 329980, -89129, 11812, -1271, -350, 70, -8, 1], 'lmfdb_label': '364815.z2', '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: 9027055
    {'conductor': 364815, 'conductor_valuation': 2, 'discriminant_valuation': 16, 'j_denominator_valuation': 10, 'kodaira_symbol': -14, 'lmfdb_label': '364815.z2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9027056
    {'conductor': 364815, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '364815.z2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9027057
    {'conductor': 364815, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '364815.z2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9027058
    {'conductor': 364815, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '364815.z2', 'prime': 67, '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: 3936383
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1141, 4, 2282, 9], [1, 2, 2, 5], [1, 4, 0, 1], [2414, 1, 803, 0], [3016, 1009, 1005, 3016], [4017, 4, 4016, 5], [2681, 4, 1342, 9]], 'adelic_image': '4020.12.0.?', 'conductor': 364815, 'lmfdb_label': '364815.z2', 'prime': 0}
  • id: 1255370
    {'conductor': 364815, 'elladic_image': '2.3.0.1', 'lmfdb_label': '364815.z2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 364815.z does not appear in ec_padic