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ec_curvedata • Show schema
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{'Ciso': '78400dh', 'Clabel': '78400dh1', 'Cnumber': 1, 'abc_quality': 0.8915192755066496, 'absD': 784000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 280, 'ainvs': [0, 0, 0, -700, 7000], 'analytic_rank': 0, 'bad_primes': [2, 5, 7], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 78400, 'degree': 53760, 'elladic_images': ['2.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.49693067252997528168254028868', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1], 'jinv': [48384, 1], 'lmfdb_iso': '78400.r', 'lmfdb_label': '78400.r1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -7, 7], 'min_quad_twist_disc': 40, 'modell_images': ['2Cn'], 'modm_images': ['2.2.0.a.1', '14.6.0.a.1', '280.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2097292923295815476497582697', 'prec': 103}, 'szpiro_ratio': 2.774446451405041, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -3, 0, 0, 0, 0, 0, 6, 0, 1, 0, -2, 0, 0, 0, 3, 0, 5, 0], 'aplist': [0, -3, 0, 0, 1, -2, 3, 5, 3, 6, 1, -5, 10, -4, 1, -9, 3, 3, 11, 16, 7, -11, 4, 9, 6], 'class_deg': 1, 'class_size': 1, 'conductor': 78400, 'isogeny_matrix': [[1]], 'lmfdb_iso': '78400.r', 'trace_hash': 2290069949061525831}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.37014467174134438681347462050', 'prec': 103}, 'conductor': 78400, 'gens': [], 'heights': [], 'lmfdb_label': '78400.r1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.5931647961355042811420860919', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5931647961355042811420860919161403521', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0, 0], '5': 'a', '7': 'a', '11': [2, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [2, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '78400.r1'}
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ec_torsion_growth • Show schema
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id: 3700804
{'degree': 3, 'field': [1, -2, -1, 1], 'lmfdb_label': '78400.r1', 'torsion': [2, 2]}
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id: 3700805
{'degree': 8, 'field': [-1470000, 0, 168000, 0, 4200, 0, 0, 0, 1], 'lmfdb_label': '78400.r1', 'torsion': [3]}
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id: 3700806
{'degree': 12, 'field': [765625, 0, 0, 0, -91875, 0, 8750, 0, -350, 0, 0, 0, 1], 'lmfdb_label': '78400.r1', 'torsion': [2, 4]}
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ec_localdata • Show schema
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id: 1908234
{'conductor': 78400, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '78400.r1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 1908235
{'conductor': 78400, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '78400.r1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 1908236
{'conductor': 78400, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '78400.r1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2181949
{'adelic_gens': [[1, 0, 4, 1], [199, 220, 200, 219], [1, 2, 2, 5], [139, 0, 0, 279], [1, 4, 0, 1], [277, 4, 276, 5], [71, 60, 70, 1], [109, 110, 260, 89], [223, 0, 0, 279], [3, 2, 272, 275], [241, 115, 185, 116]], 'adelic_image': '280.12.0.?', 'conductor': 78400, 'lmfdb_label': '78400.r1', 'prime': 0}
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id: 323488
{'conductor': 78400, 'elladic_image': '2.2.0.1', 'lmfdb_label': '78400.r1', 'modell_image': '2Cn', 'prime': 2}
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lmfdb_iso 78400.r does not appear in ec_padic