Elliptic curve data - 3150.i3

Formats: - HTML - YAML - JSON - 2025-11-04T14:33:42.611774

• 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': '3150l', 'Clabel': '3150l4', 'Cnumber': 4, 'abc_quality': 1.0082122835525031, 'absD': 10720765125000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 2520, 'ainvs': [1, -1, 0, -7992, 227416], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 3150, 'degree': 6912, 'elladic_images': ['8.6.0.6', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2178199366401346448811620214', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4956477625, 941192], 'lmfdb_iso': '3150.i', 'lmfdb_label': '3150.i3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -36, -70], 'min_quad_twist_disc': -15, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.36.0.a.1', '8.6.0.b.1', '15.24.0-3.a.1.1', '24.72.1.h.1', '28.6.0.c.1', '30.72.0-6.a.1.1', '56.12.0.k.1', '63.36.0.a.1', '84.72.1.?', '120.144.1.?', '126.108.2.?', '168.144.5.?', '252.216.7.?', '315.72.0.?', '420.144.1.?', '504.432.21.?', '630.216.2.?', '840.288.5.?', '1260.432.7.?', '2520.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 225], [3, 2, 25], [5, 14, 126], [7, 8, 450]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13620516391097038811684026367', 'prec': 107}, 'szpiro_ratio': 4.788517327649219, '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, 0, 0, -1, -1, 0, 0, 0, 0, 4, 1, 0, 1, 6, 0, 2, 0], 'aplist': [-1, 0, 0, -1, 0, 4, 6, 2, 0, 6, -4, -2, -6, -8, -12, 6, 6, 8, 4, 0, -2, 8, -6, 6, 10], 'class_deg': 18, 'class_size': 6, 'conductor': 3150, 'isogeny_matrix': [[1, 2, 3, 9, 18, 6], [2, 1, 6, 18, 9, 3], [3, 6, 1, 3, 6, 2], [9, 18, 3, 1, 2, 6], [18, 9, 6, 2, 1, 3], [6, 3, 2, 6, 3, 1]], 'lmfdb_iso': '3150.i', 'trace_hash': 526740696954880027}
• 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': '0.087541713519400539549928498962', 'prec': 107}, 'conductor': 3150, 'gens': [], 'heights': [], 'lmfdb_label': '3150.i3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.68448073291121261823372378864', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3689614658224252364674475772873575720', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[131, -131, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': 'a', '7': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '3150.i3'}
• ec_torsion_growth •

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

  
  
  • id: 163773
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '3150.i3', 'torsion': [2, 2]}
  • id: 163774
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '3150.i3', 'torsion': [6]}
  • id: 163775
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '3150.i3', 'torsion': [6]}
  • id: 163777
    {'degree': 4, 'field': [1, 1, 2, -1, 1], 'lmfdb_label': '3150.i3', 'torsion': [3, 6]}
  • id: 163778
    {'degree': 4, 'field': [4, 0, -6, 0, 1], 'lmfdb_label': '3150.i3', 'torsion': [2, 6]}
  • id: 163779
    {'degree': 4, 'field': [34, -4, 5, -2, 1], 'lmfdb_label': '3150.i3', 'torsion': [2, 6]}
  • id: 163776
    {'degree': 4, 'field': [450, 0, 15, 0, 1], 'lmfdb_label': '3150.i3', 'torsion': [4]}
  • id: 163782
    {'degree': 8, 'field': [16, 0, 24, 0, 32, 0, 6, 0, 1], 'lmfdb_label': '3150.i3', 'torsion': [6, 6]}
  • id: 163784
    {'degree': 8, 'field': [436, -196, 288, -198, 135, -46, 20, -4, 1], 'lmfdb_label': '3150.i3', 'torsion': [12]}
  • id: 163783
    {'degree': 8, 'field': [631, -362, 410, -98, 55, -10, 8, -4, 1], 'lmfdb_label': '3150.i3', 'torsion': [12]}
  • id: 163781
    {'degree': 8, 'field': [2116, 0, -832, 0, 74, 0, -8, 0, 1], 'lmfdb_label': '3150.i3', 'torsion': [2, 4]}
  • id: 163780
    {'degree': 8, 'field': [14641, 0, 498, 0, 218, 0, 18, 0, 1], 'lmfdb_label': '3150.i3', 'torsion': [2, 4]}
  • id: 163789
    {'degree': 16, 'field': [-41, -128, 5844, -9656, 1448, 2056, -16, 4024, -5187, 536, 1820, -656, -194, 112, 4, -8, 1], 'lmfdb_label': '3150.i3', 'torsion': [2, 12]}
  • id: 163786
    {'degree': 16, 'field': [16, 0, 24, 0, -24, 0, 66, 0, 203, 0, 33, 0, -6, 0, 3, 0, 1], 'lmfdb_label': '3150.i3', 'torsion': [3, 12]}
  • id: 163787
    {'degree': 16, 'field': [3609, -22788, 59442, -73800, 36748, 4296, -9006, 7880, -3583, 848, 134, -280, 168, -84, 32, -8, 1], 'lmfdb_label': '3150.i3', 'torsion': [2, 12]}
  • id: 163788
    {'degree': 16, 'field': [56464, -24064, 43000, -65320, 117390, -151012, 145802, -110080, 66953, -32984, 13826, -4640, 1380, -308, 64, -8, 1], 'lmfdb_label': '3150.i3', 'torsion': [2, 12]}
  • id: 163790
    {'degree': 16, 'field': [1050364, -766080, 1084752, -721376, 586606, -317536, 189720, -85568, 40131, -15184, 5976, -1936, 626, -168, 44, -8, 1], 'lmfdb_label': '3150.i3', 'torsion': [2, 12]}
  • id: 163785
    {'degree': 16, 'field': [10329796, 0, -11401656, 0, 4221046, 0, -311724, 0, -22527, 0, 2898, 0, 424, 0, -42, 0, 1], 'lmfdb_label': '3150.i3', 'torsion': [8]}
  • id: 163791
    {'degree': 18, 'field': [-13411, 17739, -4035, -32416, 26706, 32142, -34766, -16008, 29175, -3111, -9009, 1656, 2846, -870, -438, 212, -3, -9, 1], 'lmfdb_label': '3150.i3', 'torsion': [18]}
  • id: 163792
    {'degree': 18, 'field': [5881, -40914, 146184, -342543, 579213, -730896, 683098, -454995, 200358, -50146, 5589, -2277, 2251, -894, 165, -8, 0, -3, 1], 'lmfdb_label': '3150.i3', '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: 56661
    {'conductor': 3150, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '3150.i3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 56662
    {'conductor': 3150, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '3150.i3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 56663
    {'conductor': 3150, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '3150.i3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 56664
    {'conductor': 3150, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '3150.i3', 'prime': 7, '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: 1684467
    {'adelic_gens': [[2341, 780, 1530, 1171], [19, 24, 1440, 1819], [503, 0, 0, 2519], [1, 0, 36, 1], [2461, 540, 2190, 781], [2026, 1515, 2265, 856], [1, 36, 0, 1], [1259, 1980, 0, 979], [1, 6, 6, 37], [2485, 36, 2484, 37]], 'adelic_image': '2520.864.21.?', 'conductor': 3150, 'lmfdb_label': '3150.i3', 'prime': 0}
  • id: 15791
    {'conductor': 3150, 'elladic_image': '8.6.0.6', 'lmfdb_label': '3150.i3', 'modell_image': '2B', 'prime': 2}
  • id: 15792
    {'conductor': 3150, 'elladic_image': '3.12.0.1', 'lmfdb_label': '3150.i3', 'modell_image': '3Cs', 'prime': 3}
• lmfdb_iso 3150.i does not appear in ec_padic