Elliptic curve data - 62400.ej2

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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': '62400ho', 'Clabel': '62400ho3', 'Cnumber': 3, 'abc_quality': 0.9608618677341092, 'absD': 350957568000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, 1, 0, -31233, -1934337], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 62400, 'degree': 262144, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5260732649285806984774508316', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 113, 'isogeny_degrees': [1, 2, 4], 'jinv': [822656953, 85683], 'lmfdb_iso': '62400.ej', 'lmfdb_label': '62400.ej2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -19, 22], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0.h.1', '40.12.0-4.c.1.1', '104.12.0.?', '120.24.0.?', '312.24.0.?', '520.24.0.?', '1560.48.0.?'], '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, 'serre_invariants': [[2, 2, 75], [3, 4, 20800], [5, 14, 2496], [13, 14, 4800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31836646212838745294877701720', 'prec': 107}, 'szpiro_ratio': 3.863788426517728, '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, 0, 0, -4, 0, 1, 0, 4, 0, 1, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, 1, 0, -4, 4, 1, -2, 0, 0, 10, -4, -2, 6, 12, 0, 6, 12, 2, 8, 0, -2, -8, -4, -2, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 62400, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '62400.ej', 'trace_hash': 1816721201913649993}
• 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': '0.047257376073171606058901985981', 'prec': 107}, 'conductor': 62400, 'gens': [], 'heights': [], 'lmfdb_label': '62400.ej2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.36154140770942229504391858064', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8923312616753783603513486450948597837', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-127, 0, 1]], 'xcoord_integral_points': [-127]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '13': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '62400.ej2'}
• ec_torsion_growth •

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

  
  
  • id: 2989146
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '62400.ej2', 'torsion': [2, 2]}
  • id: 2989148
    {'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '62400.ej2', 'torsion': [4]}
  • id: 2989147
    {'degree': 2, 'field': [30, 0, 1], 'lmfdb_label': '62400.ej2', 'torsion': [4]}
  • id: 2989149
    {'degree': 4, 'field': [25, 0, 20, 0, 1], 'lmfdb_label': '62400.ej2', 'torsion': [2, 4]}
  • id: 2989153
    {'degree': 8, 'field': [-30000, 0, 5000, 0, -600, 0, 0, 0, 1], 'lmfdb_label': '62400.ej2', 'torsion': [6]}
  • id: 2989150
    {'degree': 8, 'field': [4, 0, -88, 0, 60, 0, -16, 0, 1], 'lmfdb_label': '62400.ej2', 'torsion': [2, 4]}
  • id: 2989152
    {'degree': 8, 'field': [625, 0, 2000, 0, 575, 0, 50, 0, 1], 'lmfdb_label': '62400.ej2', 'torsion': [8]}
  • id: 2989151
    {'degree': 8, 'field': [13924, 0, -964, 0, 237, 0, -28, 0, 1], 'lmfdb_label': '62400.ej2', 'torsion': [8]}
  • id: 2989154
    {'degree': 16, 'field': [16, 0, -352, 0, 7504, 0, -5152, 0, 2188, 0, -784, 0, 196, 0, -16, 0, 1], 'lmfdb_label': '62400.ej2', 'torsion': [4, 4]}
  • id: 2989155
    {'degree': 16, 'field': [1432561, 3917004, 8308238, 6903300, 3703718, 1728696, 586566, 186816, 94607, 12972, 12402, 264, 944, -12, 44, 0, 1], 'lmfdb_label': '62400.ej2', 'torsion': [2, 8]}
  • id: 2989156
    {'degree': 16, 'field': [1560001, 0, -158476, 0, 1037326, 0, 16064, 0, 16819, 0, 2336, 0, 238, 0, 20, 0, 1], 'lmfdb_label': '62400.ej2', 'torsion': [2, 8]}
  • id: 2989157
    {'degree': 16, 'field': [3515625, 0, -4687500, 0, 4328125, 0, -375000, 0, -341250, 0, 32500, 0, -2100, 0, 0, 0, 1], 'lmfdb_label': '62400.ej2', 'torsion': [2, 6]}
  • id: 2989159
    {'degree': 16, 'field': [89245809, 0, 81404370, 0, 29880261, 0, 5953180, 0, 721730, 0, 56230, 0, 2788, 0, 80, 0, 1], 'lmfdb_label': '62400.ej2', 'torsion': [12]}
  • id: 2989158
    {'degree': 16, 'field': [847217449, 0, -596215100, 0, 194237368, 0, -4606070, 0, 124570, 0, 3880, 0, -419, 0, 10, 0, 1], 'lmfdb_label': '62400.ej2', '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: 1505793
    {'conductor': 62400, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '62400.ej2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1505794
    {'conductor': 62400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '62400.ej2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1505795
    {'conductor': 62400, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '62400.ej2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1505796
    {'conductor': 62400, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '62400.ej2', 'prime': 13, 'reduction_type': 1, '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: 2077531
    {'adelic_gens': [[269, 270, 1430, 29], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [623, 0, 0, 1559], [584, 1045, 1205, 864], [1553, 8, 1552, 9], [7, 6, 1554, 1555], [736, 315, 1045, 626], [1081, 320, 580, 1281]], 'adelic_image': '1560.48.0.?', 'conductor': 62400, 'lmfdb_label': '62400.ej2', 'prime': 0}
  • id: 262597
    {'conductor': 62400, 'elladic_image': '4.6.0.1', 'lmfdb_label': '62400.ej2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 62400.ej does not appear in ec_padic