Elliptic curve data - 64400.be4

Formats: - HTML - YAML - JSON - 2024-04-29T09:45:19.430138

• 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': '64400g', 'Clabel': '64400g1', 'Cnumber': 1, 'abc_quality': 0.8752374537980175, 'absD': 69028750000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 6440, 'ainvs': [0, 0, 0, 550, -11625], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 64400, 'degree': 30720, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.76264214886459069783318673516', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 30, 'isogeny_degrees': [1, 2, 4], 'jinv': [73598976, 276115], 'lmfdb_iso': '64400.be', 'lmfdb_label': '64400.be4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 22, 93], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '230.6.0.?', '280.24.0.?', '460.24.0.?', '1288.24.0.?', '6440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27312586753910792593960363861', 'prec': 107}, 'szpiro_ratio': 2.912070237127541, '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, 0, 0, 0, 0, -1, 0, -3, 0, 0, 0, -2, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, 0, 0, -1, 0, -2, 2, -4, 1, -2, 0, -2, 2, 4, 12, -2, 12, -6, -4, 0, 10, 4, -12, 6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 64400, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '64400.be', 'trace_hash': 35196860409090334}
• 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': '0.21755919648674325709968406057', 'prec': 103}, 'conductor': 64400, 'gens': [], 'heights': [], 'lmfdb_label': '64400.be4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.55745637627724627031499084255', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1149127525544925406299816851046510003', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[15, 0, 1]], 'xcoord_integral_points': [15]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '5': 'a', '7': [0, 0], '23': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '64400.be4'}
• ec_torsion_growth •

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

  
  
  • id: 3078274
    {'degree': 2, 'field': [-115, 0, 1], 'lmfdb_label': '64400.be4', 'torsion': [4]}
  • id: 3078275
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '64400.be4', 'torsion': [4]}
  • id: 3078273
    {'degree': 2, 'field': [29, -1, 1], 'lmfdb_label': '64400.be4', 'torsion': [2, 2]}
  • id: 3078276
    {'degree': 4, 'field': [841, 0, -57, 0, 1], 'lmfdb_label': '64400.be4', 'torsion': [2, 4]}
  • id: 3078277
    {'degree': 4, 'field': [2875, 0, 0, 0, 1], 'lmfdb_label': '64400.be4', 'torsion': [2, 4]}
  • id: 3078281
    {'degree': 8, 'field': [-4501875, 0, -220500, 0, -7350, 0, 0, 0, 1], 'lmfdb_label': '64400.be4', 'torsion': [6]}
  • id: 3078280
    {'degree': 8, 'field': [1241, -3938, 5402, -2850, 1231, 230, -72, -4, 1], 'lmfdb_label': '64400.be4', 'torsion': [8]}
  • id: 3078279
    {'degree': 8, 'field': [102400, 0, -22960, 0, 1369, 0, -49, 0, 1], 'lmfdb_label': '64400.be4', 'torsion': [8]}
  • id: 3078278
    {'degree': 8, 'field': [516961, -1438, 2, 2870, -1429, -10, 8, -4, 1], 'lmfdb_label': '64400.be4', 'torsion': [4, 4]}
  • id: 3078287
    {'degree': 16, 'field': [38576521, -1968116836, 50205199688, -49635212112, 24524340596, 293578564, -1893680, 5333304, -3525026, 909108, 30280, -11488, 2036, -84, 32, -8, 1], 'lmfdb_label': '64400.be4', 'torsion': [12]}
  • id: 3078283
    {'degree': 16, 'field': [1037097616, 0, 21535288, 0, -2706383, 0, 1439023, 0, 167323, 0, -1366, 0, -597, 0, -9, 0, 1], 'lmfdb_label': '64400.be4', 'torsion': [2, 8]}
  • id: 3078282
    {'degree': 16, 'field': [9462620176, 0, 769109888, 0, -72375332, 0, -5275524, 0, 312125, 0, 1226, 0, -637, 0, 18, 0, 1], 'lmfdb_label': '64400.be4', 'torsion': [2, 8]}
  • id: 3078285
    {'degree': 16, 'field': [780506721931, -209362968784, 300619157820, -52231761890, 31693306670, -1450522542, -168619592, -15608410, 24381345, 4824890, 1471648, 61818, 29270, 2110, -30, -4, 1], 'lmfdb_label': '64400.be4', 'torsion': [2, 6]}
  • id: 3078284
    {'degree': 16, 'field': [1067788343491, -170876628512, 37194287380, 12239515220, -2909006780, 1601157584, -14061108, -67557420, 23530795, 386320, -320628, 76076, 5820, 280, -20, -8, 1], 'lmfdb_label': '64400.be4', 'torsion': [2, 8]}
  • id: 3078286
    {'degree': 16, 'field': [79694809567341, 3466476304842, -9498333958380, 942714525480, -18831000000, -39514343724, 14203272462, 14942430, -350046380, 15982450, 2942962, -219056, 19480, 2620, -200, -2, 1], 'lmfdb_label': '64400.be4', 'torsion': [12]}
• 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: 1555703
    {'conductor': 64400, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '64400.be4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1555704
    {'conductor': 64400, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '64400.be4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1555705
    {'conductor': 64400, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '64400.be4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1555706
    {'conductor': 64400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '64400.be4', 'prime': 23, '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: 2090782
    {'adelic_gens': [[2248, 3, 1405, 2], [1, 0, 8, 1], [2419, 2418, 818, 4035], [1, 8, 0, 1], [1, 4, 4, 17], [2407, 2412, 2410, 5633], [6433, 8, 6432, 9], [2761, 8, 4604, 33], [7, 6, 6434, 6435], [2572, 6439, 5129, 6434]], 'adelic_image': '6440.48.0.?', 'conductor': 64400, 'lmfdb_label': '64400.be4', 'prime': 0}
  • id: 270390
    {'conductor': 64400, 'elladic_image': '4.12.0.8', 'lmfdb_label': '64400.be4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 64400.be does not appear in ec_padic