Elliptic curve data - 24960.m2

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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
  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': '24960a', 'Clabel': '24960a2', 'Cnumber': 2, 'abc_quality': 0.9177936059304618, 'absD': 374400000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 312, 'ainvs': [0, -1, 0, -2361, 53865], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 24960, 'degree': 34816, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.93798972607432500679958932747', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2], 'jinv': [-177748384352, 45703125], 'lmfdb_iso': '24960.m', 'lmfdb_label': '24960.m2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2361, 53865], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '104.6.0.?', '312.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8370819019293973917447056673', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 13], [3, 4, 8320], [5, 6, 4992], [13, 14, 1920]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.18708028046771758826425452922', 'prec': 103}, 'szpiro_ratio': 3.484649327712739, '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, 4, 0, 1, 0, 0, 0, -1, 0, 1, 0, 6, 0, 2, 0], 'aplist': [0, -1, -1, 4, 0, -1, 6, 2, 0, -8, 4, -10, 12, 0, -8, 4, -8, -10, 2, -8, -2, 2, 4, -12, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 24960, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '24960.m', 'trace_hash': 2122314954717792351}
• 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': '0.15320483652787885164212582668', 'prec': 103}, 'conductor': 24960, 'gens': [[51, 252, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.8370819019293973917447056673', 'prec': 100}], 'lmfdb_label': '24960.m2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.90685872551890170479657353051', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1456649555528699885091976962509184434', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-57, 0, 1]], 'xcoord_integral_points': [-57, 51]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '24960.m2'}
• ec_torsion_growth •

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

  
  
  • id: 1255288
    {'degree': 2, 'field': [26, 0, 1], 'lmfdb_label': '24960.m2', 'torsion': [2, 2]}
  • id: 1255289
    {'degree': 4, 'field': [-26, 0, 2, 0, 1], 'lmfdb_label': '24960.m2', 'torsion': [4]}
  • id: 1255292
    {'degree': 8, 'field': [-118803, 0, -2456, 0, -1194, 0, 0, 0, 1], 'lmfdb_label': '24960.m2', 'torsion': [6]}
  • id: 1255290
    {'degree': 8, 'field': [729, 0, 216, 0, 382, 0, 8, 0, 1], 'lmfdb_label': '24960.m2', 'torsion': [2, 4]}
  • id: 1255291
    {'degree': 8, 'field': [23409, 0, -1540, 0, 86, 0, 28, 0, 1], 'lmfdb_label': '24960.m2', 'torsion': [2, 4]}
  • id: 1255293
    {'degree': 16, 'field': [28561, 0, 61516, 0, -35828, 0, -3380, 0, 4342, 0, -3692, 0, 244, 0, 4, 0, 1], 'lmfdb_label': '24960.m2', 'torsion': [8]}
  • id: 1255294
    {'degree': 16, 'field': [1746325850, -2594043192, 679330880, 1167476128, 376294988, 244531768, 89217608, 956176, 3573236, -502008, 20828, -6240, -560, 0, 52, 0, 1], 'lmfdb_label': '24960.m2', 'torsion': [2, 6]}
• 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: 572237
    {'conductor': 24960, 'conductor_valuation': 7, 'discriminant_valuation': 13, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '24960.m2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 572238
    {'conductor': 24960, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '24960.m2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 572239
    {'conductor': 24960, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '24960.m2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 572240
    {'conductor': 24960, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '24960.m2', 'prime': 13, '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: 1830548
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [2, 1, 155, 0], [196, 121, 41, 282], [209, 4, 106, 9], [290, 1, 167, 0], [309, 4, 308, 5]], 'adelic_image': '312.12.0.?', 'conductor': 24960, 'lmfdb_label': '24960.m2', 'prime': 0}
  • id: 113762
    {'conductor': 24960, 'elladic_image': '2.3.0.1', 'lmfdb_label': '24960.m2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1186209
    {'lmfdb_iso': '24960.m', 'p': 7, 'prec': 20, 'unit': 635013133559454, 'val': 1}
  • id: 1186214
    {'lmfdb_iso': '24960.m', 'p': 17, 'prec': 20, 'unit': 205792872458163676633386, 'val': 1}
  • id: 1186205
    {'lmfdb_iso': '24960.m', 'p': 19, 'prec': 20, 'unit': 483926936912923487037719, 'val': 1}
  • id: 1186212
    {'lmfdb_iso': '24960.m', 'p': 29, 'prec': 20, 'unit': 3098041536611465451319101076, 'val': 1}
  • id: 1186222
    {'lmfdb_iso': '24960.m', 'p': 31, 'prec': 20, 'unit': 14932679199285432075472883731, 'val': 1}
  • id: 1186208
    {'lmfdb_iso': '24960.m', 'p': 37, 'prec': 20, 'unit': 624194550155755019078534222113, 'val': 1}
  • id: 1186210
    {'lmfdb_iso': '24960.m', 'p': 41, 'prec': 20, 'unit': 3575103189280716097224370051911, 'val': 1}
  • id: 1186220
    {'lmfdb_iso': '24960.m', 'p': 47, 'prec': 20, 'unit': 29861640703618894058508723228893, 'val': 1}
  • id: 1186216
    {'lmfdb_iso': '24960.m', 'p': 53, 'prec': 20, 'unit': 184818209573811506677866512437241, 'val': 1}
  • id: 1186217
    {'lmfdb_iso': '24960.m', 'p': 59, 'prec': 20, 'unit': 3648329861810309849150149759206500, 'val': 1}
  • id: 1186221
    {'lmfdb_iso': '24960.m', 'p': 61, 'prec': 20, 'unit': 1719295448259796247663469435886713, 'val': 1}
  • id: 1186207
    {'lmfdb_iso': '24960.m', 'p': 67, 'prec': 20, 'unit': 36846246353951163104931942551016200, 'val': 1}
  • id: 1186211
    {'lmfdb_iso': '24960.m', 'p': 71, 'prec': 20, 'unit': 57767206049194322660770604747914058, 'val': 1}
  • id: 1186218
    {'lmfdb_iso': '24960.m', 'p': 73, 'prec': 20, 'unit': 147553978345306714976921422346485820, 'val': 1}
  • id: 1186213
    {'lmfdb_iso': '24960.m', 'p': 79, 'prec': 20, 'unit': 877924356029838293362072023254229327, 'val': 1}
  • id: 1186215
    {'lmfdb_iso': '24960.m', 'p': 83, 'prec': 20, 'unit': 2657931436851956064239590085466835492, 'val': 1}
  • id: 1186219
    {'lmfdb_iso': '24960.m', 'p': 89, 'prec': 20, 'unit': 4901093917122763946484865232360608020, 'val': 1}
  • id: 1186206
    {'lmfdb_iso': '24960.m', 'p': 97, 'prec': 20, 'unit': 25417436703923854170432312917733424286, 'val': 1}