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ec_curvedata • Show schema
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{'Ciso': '78400cy', 'Clabel': '78400cy2', 'Cnumber': 2, 'abc_quality': 0.8901419193332675, 'absD': 51652616960000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 56, 'ainvs': [0, 1, 0, -1177633, -350227137], 'analytic_rank': 0, 'bad_primes': [2, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 78400, 'degree': 2064384, 'elladic_images': ['8.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4891428679360428737383978390', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2], 'jinv': [2185454, 625], 'lmfdb_iso': '78400.bc', 'lmfdb_label': '78400.bc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -240, 1100], 'min_quad_twist_disc': -280, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.e.1', '28.6.0.c.1', '56.12.0.bd.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, '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': '-0.75696720586574814739874189059', 'prec': 107}, 'szpiro_ratio': 4.751788336582358, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -2, 0, 0, 0, 0, 0, 1, 0, -4, 0, -2, 0, 0, 0, 0, 0, 2, 0], 'aplist': [0, -2, 0, 0, -4, -2, 0, 2, 4, -10, -4, -2, 12, -4, 4, 2, 10, 6, 4, -12, -4, -4, -14, -8, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 78400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '78400.bc', 'trace_hash': 1117003995972779342}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0068858566225346450910542198558', 'prec': 110}, 'conductor': 78400, 'gens': [], 'heights': [], 'lmfdb_label': '78400.bc1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.14808194315905217111725093582', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.59232777263620868446900374326919101769', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[-327, 0, 1]], 'xcoord_integral_points': [-327]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '5': 'a', '7': 'a'}, 'iwp0': 3, 'lmfdb_label': '78400.bc1'}
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ec_torsion_growth • Show schema
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id: 3700740
{'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '78400.bc1', 'torsion': [2, 2]}
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id: 3700741
{'degree': 4, 'field': [79, 17, 10, -1, 1], 'lmfdb_label': '78400.bc1', 'torsion': [4]}
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id: 3700744
{'degree': 8, 'field': [-58800, 0, 415520, 0, 840, 0, 0, 0, 1], 'lmfdb_label': '78400.bc1', 'torsion': [6]}
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id: 3700743
{'degree': 8, 'field': [569, -362, -187, -30, 106, 22, -17, -2, 1], 'lmfdb_label': '78400.bc1', 'torsion': [2, 4]}
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id: 3700742
{'degree': 8, 'field': [2704, 0, -1824, 0, -368, 0, -8, 0, 1], 'lmfdb_label': '78400.bc1', 'torsion': [2, 4]}
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id: 3700745
{'degree': 16, 'field': [4816, -6216, 19047, -11592, 8404, -11966, 6028, -4428, 3251, -1136, 1065, -256, 188, -42, 24, -4, 1], 'lmfdb_label': '78400.bc1', 'torsion': [8]}
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id: 3700746
{'degree': 16, 'field': [86304100, 0, -260690320, 0, 177825076, 0, -15056856, 0, 698340, 0, -33540, 0, 1360, 0, -16, 0, 1], 'lmfdb_label': '78400.bc1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 1908201
{'conductor': 78400, 'conductor_valuation': 6, 'discriminant_valuation': 17, 'j_denominator_valuation': 0, 'kodaira_symbol': -11, 'lmfdb_label': '78400.bc1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 1908202
{'conductor': 78400, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '78400.bc1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 1908203
{'conductor': 78400, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '78400.bc1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2181524
{'adelic_gens': [[1, 2, 2, 5], [36, 25, 49, 8], [2, 1, 27, 0], [3, 4, 8, 11], [53, 4, 52, 5], [12, 1, 39, 0], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '56.12.0.?', 'conductor': 78400, 'lmfdb_label': '78400.bc1', 'prime': 0}
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id: 323057
{'conductor': 78400, 'elladic_image': '8.6.0.3', 'lmfdb_label': '78400.bc1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 78400.bc does not appear in ec_padic