Elliptic curve data - 3630.s4

Formats: - HTML - YAML - JSON - 2024-05-02T22:24:18.186740

• 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': '3630s', 'Clabel': '3630s4', 'Cnumber': 4, 'abc_quality': 0.9949953764457301, 'absD': 2466345079687500, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [1, 1, 1, 14215, -2292685], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3630, 'degree': 30720, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6349410325142790401975872043', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [179310732119, 1392187500], 'lmfdb_iso': '3630.s', 'lmfdb_label': '3630.s4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 118, 1776], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '22.6.0.a.1', '24.24.0-24.ba.1.1', '44.24.0-44.g.1.1', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.43599339611509376816661541532', 'prec': 103}, 'szpiro_ratio': 5.223720498739864, '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, -1, 1, 1, -1, 4, 1, 1, 1, 0, -1, 2, 4, -1, 1, 2, 1, 8, 1], 'aplist': [1, -1, 1, 4, 0, 2, 2, 8, 0, -2, -8, -10, 10, 0, 0, 14, -4, -14, -4, 8, -10, -12, -4, -6, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 3630, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '3630.s', 'trace_hash': 873501756657345993}
• 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': '0.038010909626385614344042127848', 'prec': 107}, 'conductor': 3630, 'gens': [], 'heights': [], 'lmfdb_label': '3630.s4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.22751107500826312548689379566', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.6401772001322100077903007304810140119', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[387, -391, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 2], '3': [0, 0], '5': [1, 0], '11': 'a'}, 'iwp0': 3, 'lmfdb_label': '3630.s4'}
• ec_torsion_growth •

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

  
  
  • id: 189635
    {'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '3630.s4', 'torsion': [4]}
  • id: 189636
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '3630.s4', 'torsion': [4]}
  • id: 189634
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '3630.s4', 'torsion': [2, 2]}
  • id: 189638
    {'degree': 4, 'field': [9, 0, -5, 0, 1], 'lmfdb_label': '3630.s4', 'torsion': [2, 4]}
  • id: 189637
    {'degree': 4, 'field': [44, 0, 0, 0, 1], 'lmfdb_label': '3630.s4', 'torsion': [2, 4]}
  • id: 189640
    {'degree': 8, 'field': [-2, -8, -8, 10, 15, -10, 4, -4, 1], 'lmfdb_label': '3630.s4', 'torsion': [8]}
  • id: 189642
    {'degree': 8, 'field': [75, -150, 320, -36, 96, -38, -12, 0, 1], 'lmfdb_label': '3630.s4', 'torsion': [6]}
  • id: 189639
    {'degree': 8, 'field': [100, 0, 136, 0, -16, 0, 4, 0, 1], 'lmfdb_label': '3630.s4', 'torsion': [4, 4]}
  • id: 189641
    {'degree': 8, 'field': [1936, 0, 0, 0, 209, 0, 0, 0, 1], 'lmfdb_label': '3630.s4', 'torsion': [8]}
  • id: 189645
    {'degree': 16, 'field': [9, -72, 288, -732, 1270, -1500, 1128, -364, -217, 308, -88, -100, 138, -84, 32, -8, 1], 'lmfdb_label': '3630.s4', 'torsion': [2, 8]}
  • id: 189643
    {'degree': 16, 'field': [1936, 0, 0, 0, 7744, 0, 0, 0, 11220, 0, 0, 0, -176, 0, 0, 0, 1], 'lmfdb_label': '3630.s4', 'torsion': [2, 8]}
  • id: 189648
    {'degree': 16, 'field': [5625, 0, -25500, 0, 106000, 0, -46944, 0, -1050, 0, 3108, 0, 336, 0, 24, 0, 1], 'lmfdb_label': '3630.s4', 'torsion': [12]}
  • id: 189646
    {'degree': 16, 'field': [76220, 2990, 10305, -10864, -30688, 34692, 2035, -10208, 1185, 200, 719, -492, 173, -70, 30, -8, 1], 'lmfdb_label': '3630.s4', 'torsion': [2, 6]}
  • id: 189644
    {'degree': 16, 'field': [1185921, 0, 0, 0, -59895, 0, 0, 0, 1936, 0, 0, 0, -55, 0, 0, 0, 1], 'lmfdb_label': '3630.s4', 'torsion': [2, 8]}
  • id: 189647
    {'degree': 16, 'field': [19404025, 0, -28512175, 0, 13720030, 0, -3081081, 0, 373434, 0, -27201, 0, 1438, 0, -55, 0, 1], 'lmfdb_label': '3630.s4', '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: 66904
    {'conductor': 3630, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3630.s4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 66905
    {'conductor': 3630, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '3630.s4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 66906
    {'conductor': 3630, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '3630.s4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 66907
    {'conductor': 3630, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '3630.s4', 'prime': 11, 'reduction_type': 0, '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: 1687582
    {'adelic_gens': [[235, 234, 178, 43], [89, 8, 92, 33], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [7, 6, 258, 259], [160, 261, 67, 262], [257, 8, 256, 9], [107, 100, 146, 237]], 'adelic_image': '264.48.0.?', 'conductor': 3630, 'lmfdb_label': '3630.s4', 'prime': 0}
  • id: 18170
    {'conductor': 3630, 'elladic_image': '4.12.0.8', 'lmfdb_label': '3630.s4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 3630.s does not appear in ec_padic