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ec_curvedata • Show schema
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{'Ciso': '58800iz', 'Clabel': '58800iz6', 'Cnumber': 6, 'abc_quality': 1.0369284989490737, 'absD': 23718038400000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, 1, 0, -329280408, -2299946200812], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 58800, 'degree': 7077888, 'elladic_images': ['16.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2075786407787841027317152078', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 147, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [524388516989299201, 3150], 'lmfdb_iso': '58800.fr', 'lmfdb_label': '58800.fr1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -16800, -845133], 'min_quad_twist_disc': 140, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.e.1', '24.24.0-8.n.1.3', '40.24.0-8.n.1.11', '48.48.0-16.e.1.7', '56.24.0.bh.1', '80.48.0.?', '112.48.0.?', '120.48.0.?', '140.12.0.?', '168.48.0.?', '240.96.0.?', '280.48.0.?', '336.96.0.?', '560.96.0.?', '840.96.0.?', '1680.192.1.?'], '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': '0.73675742947413195346142704800', 'prec': 103}, 'szpiro_ratio': 6.415181541575352, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, -4, 0, -2, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, 1, 0, 0, -4, -2, 2, -4, -8, 6, -8, 2, -2, -12, 8, -6, 4, 2, 12, -8, -14, 0, -12, -2, 10], 'class_deg': 8, 'class_size': 6, 'conductor': 58800, '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': '58800.fr', 'trace_hash': 720137319962980773}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0016365624867976852033962271910', 'prec': 110}, 'conductor': 58800, 'gens': [], 'heights': [], 'lmfdb_label': '58800.fr1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.035441172545268445466599952929', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1341175214485902549311984937306522388', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-10477, 0, 1]], 'xcoord_integral_points': [-10477]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [3, 0], '5': 'a', '7': 'a'}, 'iwp0': 3, 'lmfdb_label': '58800.fr1'}
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ec_torsion_growth • Show schema
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id: 2828627
{'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '58800.fr1', 'torsion': [2, 2]}
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id: 2828629
{'degree': 2, 'field': [9, -1, 1], 'lmfdb_label': '58800.fr1', 'torsion': [4]}
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id: 2828628
{'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '58800.fr1', 'torsion': [4]}
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id: 2828631
{'degree': 4, 'field': [15, -30, 31, -2, 1], 'lmfdb_label': '58800.fr1', 'torsion': [8]}
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id: 2828630
{'degree': 4, 'field': [36, 0, -2, 0, 1], 'lmfdb_label': '58800.fr1', 'torsion': [2, 4]}
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id: 2828632
{'degree': 4, 'field': [81, 0, 3, 0, 1], 'lmfdb_label': '58800.fr1', 'torsion': [8]}
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id: 2828634
{'degree': 8, 'field': [2401, 0, -1372, 0, 644, 0, -28, 0, 1], 'lmfdb_label': '58800.fr1', 'torsion': [8]}
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id: 2828635
{'degree': 8, 'field': [7056, 0, -1680, 0, 268, 0, 20, 0, 1], 'lmfdb_label': '58800.fr1', 'torsion': [2, 8]}
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id: 2828637
{'degree': 8, 'field': [37100, 143500, 8750, -30240, 5460, -210, 4, -4, 1], 'lmfdb_label': '58800.fr1', 'torsion': [6]}
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id: 2828636
{'degree': 8, 'field': [129600, 0, 21600, 0, 2280, 0, -60, 0, 1], 'lmfdb_label': '58800.fr1', 'torsion': [16]}
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id: 2828633
{'degree': 8, 'field': [182449, 165648, 20136, 672, -862, -336, -24, 0, 1], 'lmfdb_label': '58800.fr1', 'torsion': [2, 4]}
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id: 2828639
{'degree': 16, 'field': [1521, 17472, 100352, 308560, 511858, 218008, 31360, -25312, -585, 2408, 1568, -224, -90, -56, 0, 0, 1], 'lmfdb_label': '58800.fr1', 'torsion': [2, 8]}
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id: 2828643
{'degree': 16, 'field': [5076009, 0, 1873332, 0, 323820, 0, 8764, 0, -13090, 0, 2716, 0, 28, 0, 20, 0, 1], 'lmfdb_label': '58800.fr1', 'torsion': [12]}
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id: 2828641
{'degree': 16, 'field': [20513665, -6952480, 4803500, 4605820, 5533406, 4757020, 1059168, 87192, -136991, -38148, 8676, 1024, 992, -236, -4, -4, 1], 'lmfdb_label': '58800.fr1', 'torsion': [2, 16]}
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id: 2828644
{'degree': 16, 'field': [59436225, -160756200, 198460500, -82578480, 59873610, -24192760, 11352176, -3095608, 1135715, -265240, 78128, -15032, 3658, -560, 100, -8, 1], 'lmfdb_label': '58800.fr1', 'torsion': [12]}
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id: 2828638
{'degree': 16, 'field': [327573801, -401363424, 245887488, -121065840, 47897658, -14539896, 4233600, -864864, 115615, -63336, 14112, 672, 470, -168, 0, 0, 1], 'lmfdb_label': '58800.fr1', 'torsion': [4, 4]}
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id: 2828642
{'degree': 16, 'field': [455779801, 0, -766417612, 0, 283396528, 0, -47911984, 0, 4409290, 0, -231604, 0, 6868, 0, -112, 0, 1], 'lmfdb_label': '58800.fr1', 'torsion': [2, 6]}
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id: 2828640
{'degree': 16, 'field': [12759898410000, 0, 0, 0, 10501974000, 0, 0, 0, 71045100, 0, 0, 0, 2940, 0, 0, 0, 1], 'lmfdb_label': '58800.fr1', 'torsion': [16]}
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ec_localdata • Show schema
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id: 1415849
{'conductor': 58800, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '58800.fr1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 1415850
{'conductor': 58800, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '58800.fr1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 1415851
{'conductor': 58800, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '58800.fr1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 1415852
{'conductor': 58800, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '58800.fr1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 2054123
{'adelic_gens': [[5, 4, 1676, 1677], [428, 425, 843, 842], [1, 16, 0, 1], [1665, 16, 1664, 17], [1184, 1675, 765, 14], [15, 2, 1582, 1667], [1133, 16, 304, 1365], [1, 0, 16, 1], [202, 1255, 1467, 838], [659, 1664, 592, 315]], 'adelic_image': '1680.192.1.?', 'conductor': 58800, 'lmfdb_label': '58800.fr1', 'prime': 0}
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id: 248952
{'conductor': 58800, 'elladic_image': '16.24.0.1', 'lmfdb_label': '58800.fr1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 58800.fr does not appear in ec_padic