Elliptic curve data - 7440.q1

Formats: - HTML - YAML - JSON - 2023-12-06T11:46:47.070880

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '7440u', 'Clabel': '7440u3', 'Cnumber': 3, 'absD': 2699210096640, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3720, 'ainvs': [0, 1, 0, -106056, -13329036], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7440, 'degree': 27648, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5048744530429260262109488501', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [32208729120020809, 658986840], 'lmfdb_iso': '7440.q', 'lmfdb_label': '7440.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -6628, 204952], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '24.24.0-24.bb.1.8', '620.12.0.?', '1240.24.0.?', '3720.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.81172727248298071679371672864', 'prec': 103}, '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, 1, 0, -1, 0, 0, 0, 1, 0, 4, 0, 6, 0, -1, 0, 2, 0, 4, 0], 'aplist': [0, 1, -1, 0, 4, 6, 2, 4, 4, 2, 1, -2, -6, 4, 0, 2, 4, -6, -16, 12, -6, 16, 12, -18, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 7440, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '7440.q', 'trace_hash': 260192791600479823}
• 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': '0.049304057155021782290564835167', 'prec': 107}, 'conductor': 7440, 'gens': [], 'heights': [], 'lmfdb_label': '7440.q1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.26455497672605797748669869661', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1746597207126957298403843592848705390', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-189, 0, 1]], 'xcoord_integral_points': [-189]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [0, 0], '31': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '7440.q1'}
• ec_torsion_growth •

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

  
  
  • id: 391525
    {'degree': 2, 'field': [-310, 0, 1], 'lmfdb_label': '7440.q1', 'torsion': [2, 2]}
  • id: 391526
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '7440.q1', 'torsion': [4]}
  • id: 391527
    {'degree': 2, 'field': [39, -1, 1], 'lmfdb_label': '7440.q1', 'torsion': [4]}
  • id: 391528
    {'degree': 4, 'field': [1371, -82, 83, -2, 1], 'lmfdb_label': '7440.q1', 'torsion': [2, 4]}
  • id: 391532
    {'degree': 8, 'field': [-48, 0, -91, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '7440.q1', 'torsion': [6]}
  • id: 391529
    {'degree': 8, 'field': [93636, 0, -7472, 0, -596, 0, -8, 0, 1], 'lmfdb_label': '7440.q1', 'torsion': [2, 4]}
  • id: 391530
    {'degree': 8, 'field': [141273, -24840, -20904, 2160, 1534, -72, -56, 0, 1], 'lmfdb_label': '7440.q1', 'torsion': [8]}
  • id: 391531
    {'degree': 8, 'field': [24601600, 0, 768800, 0, 19065, 0, 155, 0, 1], 'lmfdb_label': '7440.q1', 'torsion': [8]}
  • id: 391537
    {'degree': 16, 'field': [15129, 0, 85284, 0, 83100, 0, 10508, 0, 3950, 0, -532, 0, -20, 0, 4, 0, 1], 'lmfdb_label': '7440.q1', 'torsion': [12]}
  • id: 391538
    {'degree': 16, 'field': [2396304, 0, -1145124, 0, 612585, 0, -136692, 0, 17340, 0, 938, 0, -228, 0, 0, 0, 1], 'lmfdb_label': '7440.q1', 'torsion': [12]}
  • id: 391533
    {'degree': 16, 'field': [577200625, 0, 0, 0, 0, 0, 0, 0, 816850, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '7440.q1', 'torsion': [4, 4]}
  • id: 391534
    {'degree': 16, 'field': [7138391121, 0, -876387948, 0, 107274952, 0, -7570848, 0, 523383, 0, -30944, 0, 1128, 0, -36, 0, 1], 'lmfdb_label': '7440.q1', 'torsion': [2, 8]}
  • id: 391536
    {'degree': 16, 'field': [14033175303744, 0, 2352003481296, 0, 152021391705, 0, 4221443628, 0, 18803220, 0, -1334422, 0, -20508, 0, 0, 0, 1], 'lmfdb_label': '7440.q1', 'torsion': [2, 6]}
  • id: 391535
    {'degree': 16, 'field': [119456943092496, 0, -1750009597776, 0, -47165171940, 0, 594771996, 0, 21270469, 0, -186004, 0, -885, 0, -76, 0, 1], 'lmfdb_label': '7440.q1', 'torsion': [2, 8]}
• 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: 153670
    {'conductor': 7440, 'conductor_valuation': 4, 'discriminant_valuation': 15, 'j_denominator_valuation': 3, 'kodaira_symbol': -11, 'lmfdb_label': '7440.q1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 153671
    {'conductor': 7440, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '7440.q1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 153672
    {'conductor': 7440, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '7440.q1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 153673
    {'conductor': 7440, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '7440.q1', 'prime': 31, '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: 1713247
    {'adelic_gens': [[748, 1, 1511, 6], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [3256, 1403, 2329, 2358], [3484, 1, 503, 6], [1392, 3247, 1367, 1320], [7, 6, 3714, 3715], [3713, 8, 3712, 9], [1241, 8, 1244, 33]], 'adelic_image': '3720.48.0.?', 'conductor': 7440, 'lmfdb_label': '7440.q1', 'prime': 0}
  • id: 36720
    {'conductor': 7440, 'elladic_image': '8.12.0.7', 'lmfdb_label': '7440.q1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 7440.q does not appear in ec_padic