Formats: - HTML - YAML - JSON - 2026-10-09T22:39:52.943974
  • ec_curvedata • Show schema
    {'Ciso': '57600r', 'Clabel': '57600r2', 'Cnumber': 2, 'abc_quality': 0.9029767420170889, 'absD': 373248000000, 'ainvs': [0, 0, 0, -3000, 56000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 2, 'class_size': 2, 'cm': -8, 'conductor': 57600, 'degree': 55296, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.95005245019121091324172467946', 'prec': 97}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 59, 'isogeny_degrees': [1, 2], 'jinv': [8000, 1], 'lmfdb_iso': '57600.ch', 'lmfdb_label': '57600.ch1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -3, 1], 'min_quad_twist_disc': 120, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 225], [3, 2, 6400], [5, 14, 2304]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2704066260598257565278177574', 'prec': 97}, 'szpiro_ratio': 3.250780267964292, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • ec_classdata • Show schema
    {'anlist': [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -6, 0, -2, 0], 'aplist': [0, 0, 0, 0, 6, 0, -6, -2, 0, 0, 0, 0, -6, -10, 0, 0, 6, 0, -14, 0, 2, 0, -18, 18, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 57600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '57600.ch', 'trace_hash': 1028553872874794910}
  • ec_mwbsd • Show schema
    {'area': {'__RealLiteral__': 0, 'data': '0.14955293024018481001102570708', 'prec': 97}, 'conductor': 57600, 'gens': [], 'heights': [], 'lmfdb_label': '57600.ch1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.91978210949834577332118143667', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8395642189966915466423628733444496127', 'prec': 127}, 'tamagawa_product': 8, 'torsion_generators': [[40, 0, 1]], 'xcoord_integral_points': [40]}
  • ec_iwasawa • Show schema
    {'iwdata': {'2': 'a', '3': 'a', '5': 'a'}, 'iwp0': 3, 'lmfdb_label': '57600.ch1'}
  • ec_torsion_growth • Show schema
    • id: 2774594
      {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '57600.ch1', 'torsion': [2, 2]}
    • id: 2774597
      {'degree': 4, 'field': [-50, 0, 20, 0, 1], 'lmfdb_label': '57600.ch1', 'torsion': [6]}
    • id: 2774596
      {'degree': 4, 'field': [150, 0, -20, 0, 1], 'lmfdb_label': '57600.ch1', 'torsion': [6]}
    • id: 2774595
      {'degree': 4, 'field': [450, 0, -60, 0, 1], 'lmfdb_label': '57600.ch1', 'torsion': [2, 4]}
    • id: 2774601
      {'degree': 8, 'field': [625, 0, 0, 0, -100, 0, 0, 0, 1], 'lmfdb_label': '57600.ch1', 'torsion': [2, 6]}
    • id: 2774600
      {'degree': 8, 'field': [5625, 0, -3000, 0, 400, 0, 0, 0, 1], 'lmfdb_label': '57600.ch1', 'torsion': [2, 6]}
    • id: 2774598
      {'degree': 8, 'field': [16639, 7232, 1864, 120, -134, -56, 0, 0, 1], 'lmfdb_label': '57600.ch1', 'torsion': [2, 4]}
    • id: 2774599
      {'degree': 8, 'field': [22500, 0, 3000, 0, 250, 0, 20, 0, 1], 'lmfdb_label': '57600.ch1', 'torsion': [3, 6]}
    • id: 2774602
      {'degree': 12, 'field': [2979401, 1634880, -1030336, -550284, 173030, 76268, -18302, -5540, 1251, 224, -50, -4, 1], 'lmfdb_label': '57600.ch1', 'torsion': [18]}
    • id: 2774607
      {'degree': 16, 'field': [-1679, 20752, 6928, -72672, -3844, 100392, 5108, -59120, -3456, 16624, 464, -2472, 40, 200, -12, -8, 1], 'lmfdb_label': '57600.ch1', 'torsion': [2, 12]}
    • id: 2774605
      {'degree': 16, 'field': [390625, 0, 0, 0, -62500, 0, 0, 0, 9375, 0, 0, 0, -100, 0, 0, 0, 1], 'lmfdb_label': '57600.ch1', 'torsion': [6, 6]}
    • id: 2774604
      {'degree': 16, 'field': [988036, 0, -940784, 0, 183816, 0, -30976, 0, 10088, 0, -808, 0, -36, 0, -8, 0, 1], 'lmfdb_label': '57600.ch1', 'torsion': [2, 8]}
    • id: 2774606
      {'degree': 16, 'field': [1356226, 427072, -915000, -816304, 270952, 487672, -41472, -152344, 6258, 27008, -756, -3080, 148, 200, -12, -8, 1], 'lmfdb_label': '57600.ch1', 'torsion': [2, 12]}
    • id: 2774603
      {'degree': 16, 'field': [174336961, -176185080, 57511576, -5966880, 5407768, -4515720, 1114664, -108960, 89238, -41640, 6328, -480, 472, -120, 8, 0, 1], 'lmfdb_label': '57600.ch1', 'torsion': [4, 4]}
    • id: 2774608
      {'degree': 20, 'field': [202980937500000, 0, -27064125000000, 0, 1353206250000, 0, -60142500000, 0, 4009500000, 0, -121500000, 0, 4657500, 0, -135000, 0, 4050, 0, -60, 0, 1], 'lmfdb_label': '57600.ch1', 'torsion': [22]}
  • ec_localdata • Show schema
    • id: 1385910
      {'conductor': 57600, 'conductor_valuation': 8, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '57600.ch1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
    • id: 1385911
      {'conductor': 57600, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '57600.ch1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
    • id: 1385912
      {'conductor': 57600, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '57600.ch1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • lmfdb_label 57600.ch1 does not appear in ec_galrep
  • lmfdb_iso 57600.ch does not appear in ec_padic