Elliptic curve data - 3600.f4

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '3600bk', 'Clabel': '3600bk5', 'Cnumber': 5, 'abc_quality': 1.0501740895315954, 'absD': 1574640000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 0, 0, -1038675, 407439250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 3600, 'degree': 36864, 'elladic_images': ['8.12.0.13', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0620321219933471770068541096', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [2656166199049, 33750], 'lmfdb_iso': '3600.f', 'lmfdb_label': '3600.f4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -289, 1862], 'min_quad_twist_disc': 60, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '8.12.0-4.c.1.6', '12.48.0.c.4', '20.12.0-4.c.1.2', '24.192.1-24.da.3.16', '40.24.0-40.bb.1.8', '60.96.0-12.c.4.7', '120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.92185919251410494376045172831', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.014859840882296834591619703069', 'prec': 107}, 'szpiro_ratio': 6.49358786073954, '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, -4, 0, 0, 0, 0, 0, -2, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, 0, 0, -4, 0, -2, 6, 4, 0, 6, -8, -2, 6, -4, 0, -6, 0, -10, -4, 0, -2, -8, -12, -18, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 3600, 'isogeny_matrix': [[1, 4, 2, 12, 3, 6, 4, 12], [4, 1, 2, 3, 12, 6, 4, 12], [2, 2, 1, 6, 6, 3, 2, 6], [12, 3, 6, 1, 4, 2, 12, 4], [3, 12, 6, 4, 1, 2, 12, 4], [6, 6, 3, 2, 2, 1, 6, 2], [4, 4, 2, 12, 12, 6, 1, 3], [12, 12, 6, 4, 4, 2, 3, 1]], 'lmfdb_iso': '3600.f', 'trace_hash': 1008589565839161519}
• 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': '0.016178626754326330795797917360', 'prec': 107}, 'conductor': 3600, 'gens': [[465, 5000, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.92185919251410494376045172831', 'prec': 103}], 'lmfdb_label': '3600.f4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.43273465951304190026816834843', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1913633903324715794840711250304580589', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[590, 0, 1]], 'xcoord_integral_points': [465, 545, 590, 591, 6215]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [3, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '3600.f4'}
• ec_torsion_growth •

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

  
  
  • id: 188202
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '3600.f4', 'torsion': [4]}
  • id: 188204
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '3600.f4', 'torsion': [6]}
  • id: 188201
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '3600.f4', 'torsion': [2, 2]}
  • id: 188203
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '3600.f4', 'torsion': [4]}
  • id: 188206
    {'degree': 4, 'field': [1, 0, -8, 0, 1], 'lmfdb_label': '3600.f4', 'torsion': [2, 6]}
  • id: 188208
    {'degree': 4, 'field': [1, 8, -7, -2, 1], 'lmfdb_label': '3600.f4', 'torsion': [12]}
  • id: 188205
    {'degree': 4, 'field': [19, 14, -13, -2, 1], 'lmfdb_label': '3600.f4', 'torsion': [2, 4]}
  • id: 188207
    {'degree': 4, 'field': [49, 0, -16, 0, 1], 'lmfdb_label': '3600.f4', 'torsion': [12]}
  • id: 188209
    {'degree': 6, 'field': [9, -12, 15, -10, 5, -2, 1], 'lmfdb_label': '3600.f4', 'torsion': [6]}
  • id: 188213
    {'degree': 8, 'field': [1, 0, -12, 0, 23, 0, -12, 0, 1], 'lmfdb_label': '3600.f4', 'torsion': [2, 12]}
  • id: 188211
    {'degree': 8, 'field': [1, 0, -12, 0, 28, 0, -12, 0, 1], 'lmfdb_label': '3600.f4', 'torsion': [8]}
  • id: 188212
    {'degree': 8, 'field': [36, 0, -18, 0, 3, 0, -3, 0, 1], 'lmfdb_label': '3600.f4', 'torsion': [8]}
  • id: 188210
    {'degree': 8, 'field': [2025, 0, -540, 0, 156, 0, -12, 0, 1], 'lmfdb_label': '3600.f4', 'torsion': [2, 4]}
  • id: 188217
    {'degree': 12, 'field': [1, 0, 1, 0, -10, 0, 25, 0, -10, 0, 1, 0, 1], 'lmfdb_label': '3600.f4', 'torsion': [12]}
  • id: 188214
    {'degree': 12, 'field': [81, -108, 9, 0, 60, -48, 19, -2, -10, 10, -1, -2, 1], 'lmfdb_label': '3600.f4', 'torsion': [3, 6]}
  • id: 188215
    {'degree': 12, 'field': [81, 0, -24, 0, 355, 0, -100, 0, 15, 0, -4, 0, 1], 'lmfdb_label': '3600.f4', 'torsion': [2, 6]}
  • id: 188216
    {'degree': 12, 'field': [81, 0, 24, 0, 355, 0, 100, 0, 15, 0, 4, 0, 1], 'lmfdb_label': '3600.f4', 'torsion': [12]}
  • id: 188220
    {'degree': 16, 'field': [1, 0, -20, 0, 128, 0, -360, 0, 503, 0, -360, 0, 128, 0, -20, 0, 1], 'lmfdb_label': '3600.f4', 'torsion': [2, 24]}
  • id: 188222
    {'degree': 16, 'field': [1, 0, -5, 0, 13, 0, -50, 0, 118, 0, -50, 0, 13, 0, -5, 0, 1], 'lmfdb_label': '3600.f4', 'torsion': [24]}
  • id: 188219
    {'degree': 16, 'field': [1, 0, 2, 0, -14, 0, 32, 0, 319, 0, 32, 0, -14, 0, 2, 0, 1], 'lmfdb_label': '3600.f4', 'torsion': [2, 8]}
  • id: 188218
    {'degree': 16, 'field': [25, 0, 8940, 0, 8206, 0, -1728, 0, 399, 0, 216, 0, 34, 0, 12, 0, 1], 'lmfdb_label': '3600.f4', 'torsion': [4, 4]}
  • id: 188221
    {'degree': 16, 'field': [6561, 0, 20412, 0, 26028, 0, 15120, 0, 2511, 0, -720, 0, 108, 0, -12, 0, 1], 'lmfdb_label': '3600.f4', 'torsion': [2, 12]}
  • id: 188223
    {'degree': 18, 'field': [-6834375, 0, 19136250, 0, -14124375, 0, 4548150, 0, -955800, 0, 132975, 0, -13605, 0, 945, 0, -45, 0, 1], 'lmfdb_label': '3600.f4', 'torsion': [18]}
• 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: 66369
    {'conductor': 3600, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '3600.f4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 66370
    {'conductor': 3600, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '3600.f4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 66371
    {'conductor': 3600, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '3600.f4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1687386
    {'adelic_gens': [[1, 12, 12, 25], [97, 24, 96, 25], [104, 39, 25, 94], [1, 0, 24, 1], [1, 24, 0, 1], [26, 117, 105, 86], [6, 49, 35, 56], [23, 96, 36, 71], [15, 106, 14, 11]], 'adelic_image': '120.384.5.?', 'conductor': 3600, 'lmfdb_label': '3600.f4', 'prime': 0}
  • id: 17999
    {'conductor': 3600, 'elladic_image': '8.12.0.13', 'lmfdb_label': '3600.f4', 'modell_image': '2B', 'prime': 2}
  • id: 18000
    {'conductor': 3600, 'elladic_image': '3.4.0.1', 'lmfdb_label': '3600.f4', 'modell_image': '3B', 'prime': 3}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 122071
    {'lmfdb_iso': '3600.f', 'p': 7, 'prec': 20, 'unit': 6040144327740485, 'val': 1}
  • id: 122075
    {'lmfdb_iso': '3600.f', 'p': 13, 'prec': 20, 'unit': 1188906961139803874182, 'val': 1}
  • id: 122077
    {'lmfdb_iso': '3600.f', 'p': 17, 'prec': 20, 'unit': 1938803318440970353514, 'val': 2}
  • id: 122067
    {'lmfdb_iso': '3600.f', 'p': 19, 'prec': 20, 'unit': 1762708500061247521158906, 'val': 1}
  • id: 122074
    {'lmfdb_iso': '3600.f', 'p': 29, 'prec': 20, 'unit': 1127314461635987413905180846, 'val': 1}
  • id: 122083
    {'lmfdb_iso': '3600.f', 'p': 31, 'prec': 20, 'unit': 16746817579366985113767580991, 'val': 1}
  • id: 122070
    {'lmfdb_iso': '3600.f', 'p': 37, 'prec': 20, 'unit': 143886684588257716127944328319, 'val': 1}
  • id: 122072
    {'lmfdb_iso': '3600.f', 'p': 41, 'prec': 20, 'unit': 1786107155461743322205543390252, 'val': 1}
  • id: 122073
    {'lmfdb_iso': '3600.f', 'p': 43, 'prec': 20, 'unit': 1887662658103376992737016887712, 'val': 1}
  • id: 122079
    {'lmfdb_iso': '3600.f', 'p': 53, 'prec': 20, 'unit': 499549674665634157920492302951082, 'val': 1}
  • id: 122082
    {'lmfdb_iso': '3600.f', 'p': 61, 'prec': 20, 'unit': 127023553176086967255024265082743, 'val': 1}
  • id: 122069
    {'lmfdb_iso': '3600.f', 'p': 67, 'prec': 20, 'unit': 44989447372354895541495981521051552, 'val': 1}
  • id: 122080
    {'lmfdb_iso': '3600.f', 'p': 73, 'prec': 20, 'unit': 88779388104837957969498328022018436, 'val': 1}
  • id: 122076
    {'lmfdb_iso': '3600.f', 'p': 79, 'prec': 20, 'unit': 225117328505780247308837990874658995, 'val': 1}
  • id: 122078
    {'lmfdb_iso': '3600.f', 'p': 83, 'prec': 20, 'unit': 89061142555153517373293396766808982, 'val': 1}
  • id: 122081
    {'lmfdb_iso': '3600.f', 'p': 89, 'prec': 20, 'unit': 7903954420281813714575775216496388339, 'val': 1}
  • id: 122068
    {'lmfdb_iso': '3600.f', 'p': 97, 'prec': 20, 'unit': 42758678256462726189100303507620798060, 'val': 1}