Formats: - HTML - YAML - JSON - 2026-09-22T06:33:01.362218
  • ec_curvedata • Show schema
    {'Ciso': '337590di', 'Clabel': '337590di4', 'Cnumber': 4, 'abc_quality': 1.0007838605326649, 'absD': 4293712044715856400, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 40920, 'ainvs': [1, -1, 1, -20930603, -36851694613], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 31], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 337590, 'degree': 20971520, 'elladic_images': ['8.24.0.18'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7835058326681104975155516591', 'prec': 97}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 1, 'iso_nlabel': 86, 'isogeny_degrees': [1, 2, 4], 'jinv': [785209010066844481, 3324675600], 'lmfdb_iso': '337590.di', 'lmfdb_label': '337590.di2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -19220, -1027200], 'min_quad_twist_disc': 33, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.e.1', '60.24.0.c.1', '120.48.0.?', '132.24.0.?', '220.24.0.?', '248.48.0.?', '264.48.0.?', '440.48.0.?', '660.48.0.?', '1320.96.0.?', '3720.96.1.?', '8184.96.0.?', '13640.96.0.?', '40920.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1089], [3, 8, 37510], [5, 6, 67518], [11, 62, 2790], [31, 32, 10890]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0352520519348703797869572517', 'prec': 97}, 'szpiro_ratio': 4.884979351428289, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • ec_classdata • Show schema
    {'anlist': [0, 1, 1, 0, 1, -1, 0, 0, 1, 0, -1, 0, 0, -6, 0, 0, 1, 2, 0, -4, -1], 'aplist': [1, 0, -1, 0, 0, -6, 2, -4, 8, 6, -1, -2, 10, 4, 0, 10, 12, 2, -4, 0, -2, 0, 4, 14, 18], 'class_deg': 8, 'class_size': 6, 'conductor': 337590, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 8, 4, 8], [8, 4, 8, 1, 2, 4], [4, 2, 4, 2, 1, 2], [8, 4, 8, 4, 2, 1]], 'lmfdb_iso': '337590.di', 'trace_hash': 223566686093623}
  • ec_mwbsd • Show schema
    {'area': {'__RealLiteral__': 0, 'data': '0.0038218844543845907299329482481', 'prec': 97}, 'conductor': 337590, 'gens': [], 'heights': [], 'lmfdb_label': '337590.di2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.070583669315001039511331476261', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5173548361600665287252144807272136787', 'prec': 127}, 'tamagawa_product': 256, 'torsion_generators': [[-2637, 1318, 1], [5283, -2642, 1]], 'xcoord_integral_points': [-2637, 5283]}
  • lmfdb_label 337590.di2 does not appear in ec_iwasawa
  • ec_torsion_growth • Show schema
    • id: 14130117
      {'degree': 2, 'field': [33, 0, 1], 'lmfdb_label': '337590.di2', 'torsion': [2, 4]}
    • id: 14130118
      {'degree': 4, 'field': [34, -23, 5, -1, 1], 'lmfdb_label': '337590.di2', 'torsion': [2, 4]}
    • id: 14130119
      {'degree': 4, 'field': [100, 0, -35, 0, 1], 'lmfdb_label': '337590.di2', 'torsion': [2, 4]}
    • id: 14130124
      {'degree': 8, 'field': [-12200960, 3728384, -34496, -12728, -2920, -902, 4, -4, 1], 'lmfdb_label': '337590.di2', 'torsion': [2, 6]}
    • id: 14130120
      {'degree': 8, 'field': [1156, 0, 189, 0, 47, 0, -9, 0, 1], 'lmfdb_label': '337590.di2', 'torsion': [4, 4]}
    • id: 14130123
      {'degree': 8, 'field': [1186, -1024, 1349, -898, 829, -116, 11, -2, 1], 'lmfdb_label': '337590.di2', 'torsion': [2, 8]}
    • id: 14130122
      {'degree': 8, 'field': [68644, 0, 6612, 0, 533, 0, -6, 0, 1], 'lmfdb_label': '337590.di2', 'torsion': [2, 8]}
    • id: 14130121
      {'degree': 8, 'field': [2499346, 178572, -174818, -7460, 3611, 140, -42, -4, 1], 'lmfdb_label': '337590.di2', 'torsion': [2, 8]}
    • id: 14130126
      {'degree': 16, 'field': [4307656, -10403280, 9100728, -2612640, -1021940, 1108080, 56808, -90480, 55494, 23340, 1062, 0, 115, -60, -18, 0, 1], 'lmfdb_label': '337590.di2', 'torsion': [4, 8]}
    • id: 14130125
      {'degree': 16, 'field': [14622976, 0, -2227712, 0, -7665980, 0, 956608, 0, 998089, 0, -131648, 0, 6130, 0, -128, 0, 1], 'lmfdb_label': '337590.di2', 'torsion': [2, 8]}
    • id: 14130127
      {'degree': 16, 'field': [43401744, 0, -7114944, 0, 5171200, 0, 2609817, 0, 376650, 0, 30977, 0, 1905, 0, 66, 0, 1], 'lmfdb_label': '337590.di2', 'torsion': [2, 12]}
  • ec_localdata • Show schema
    • id: 8354376
      {'conductor': 337590, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '337590.di2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
    • id: 8354377
      {'conductor': 337590, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '337590.di2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
    • id: 8354378
      {'conductor': 337590, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '337590.di2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
    • id: 8354379
      {'conductor': 337590, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '337590.di2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
    • id: 8354380
      {'conductor': 337590, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '337590.di2', 'prime': 31, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • ec_galrep • Show schema
    • id: 3774514
      {'adelic_gens': [[24793, 3718, 7458, 29765], [1, 0, 8, 1], [13025, 26972, 30712, 5589], [1, 8, 0, 1], [29767, 19536, 11154, 21385], [13399, 37202, 17094, 11155], [5, 4, 40916, 40917], [9241, 26048, 29524, 22353], [18599, 0, 0, 40919], [40913, 8, 40912, 9]], 'adelic_image': '40920.192.1.?', 'conductor': 337590, 'lmfdb_label': '337590.di2', 'prime': 0}
    • id: 1172524
      {'conductor': 337590, 'elladic_image': '8.24.0.18', 'lmfdb_label': '337590.di2', 'modell_image': '2Cs', 'prime': 2}
  • lmfdb_iso 337590.di does not appear in ec_padic