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ec_curvedata • Show schema
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{'Ciso': '1400d', 'Clabel': '1400d1', 'Cnumber': 1, 'abc_quality': 0.8938798570375853, 'absD': 105043750000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 14, 'ainvs': [0, -1, 0, -708, -16963], 'analytic_rank': 0, 'bad_primes': [2, 5, 7], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 1400, 'degree': 1200, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.80227925265950754479510985958', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1], 'jinv': [-6288640, 16807], 'lmfdb_iso': '1400.l', 'lmfdb_label': '1400.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -28, -147], 'min_quad_twist_disc': 5, 'modell_images': [], 'modm_images': ['14.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.50172841581654114141114040306', 'prec': 107}, 'szpiro_ratio': 4.5592669644027515, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 2, 0, 0, 0, -1, 0, 1, 0, 1, 0, 4, 0, 0, 0, 0, 0, 6, 0], 'aplist': [0, 2, 0, -1, 1, 4, 0, 6, 3, -3, 0, 9, 2, 9, -6, 6, 8, -10, -1, -7, -2, -9, 12, -4, 16], 'class_deg': 1, 'class_size': 1, 'conductor': 1400, 'isogeny_matrix': [[1]], 'lmfdb_iso': '1400.l', 'trace_hash': 878835380968999295}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.20097826616152221416800451902', 'prec': 103}, 'conductor': 1400, 'gens': [], 'heights': [], 'lmfdb_label': '1400.l1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.42981170063048369730676560306', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5788702037829021838405936183339891119', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '7': [0, 0], '11': [2, 0], '13': [0, 0], '17': [0, 0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '1400.l1'}
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ec_torsion_growth • Show schema
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id: 70169
{'degree': 3, 'field': [-3, 2, -1, 1], 'lmfdb_label': '1400.l1', 'torsion': [2]}
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id: 70170
{'degree': 6, 'field': [1, -3, 1, 3, 1, -3, 1], 'lmfdb_label': '1400.l1', 'torsion': [2, 2]}
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id: 70171
{'degree': 8, 'field': [-108, 0, 76, 0, 36, 0, 0, 0, 1], 'lmfdb_label': '1400.l1', 'torsion': [3]}
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id: 70172
{'degree': 12, 'field': [7, -2, -16, 30, -7, -54, 44, 32, -44, 4, 12, -6, 1], 'lmfdb_label': '1400.l1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 21380
{'conductor': 1400, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '1400.l1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 21381
{'conductor': 1400, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '1400.l1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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id: 21382
{'conductor': 1400, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '1400.l1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[13, 2, 12, 3], [1, 1, 13, 0], [3, 2, 3, 3], [1, 2, 0, 1], [1, 0, 2, 1]], 'adelic_image': '14.2.0.?', 'conductor': 1400, 'lmfdb_label': '1400.l1', 'prime': 0}
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lmfdb_iso 1400.l does not appear in ec_padic
