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ec_curvedata • Show schema
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{'Ciso': '380880fu', 'Clabel': '380880fu1', 'Cnumber': 1, 'abc_quality': 0.9826310959035937, 'absD': 940050842112000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 10, 'ainvs': [0, 0, 0, -25392, 499376], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 380880, 'degree': 1474560, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5650249148974820163541514857', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 150, 'isogeny_degrees': [1], 'jinv': [2166784, 1125], 'lmfdb_iso': '380880.fu', 'lmfdb_label': '380880.fu1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -176, 230], 'min_quad_twist_disc': 12, 'modell_images': [], 'modm_images': ['10.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.91838457191423339945594592824', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.72259314863956803569628753149', 'prec': 107}, 'szpiro_ratio': 3.271547654061227, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, -5, 0, 0, 0, 0, 0, -4, 0, 1, 0], 'aplist': [0, 0, 1, 2, -5, 0, -4, 1, 0, -2, -7, -10, 1, -10, -6, 6, 0, 9, -14, 5, 10, 11, 6, 10, 2], 'class_deg': 1, 'class_size': 1, 'conductor': 380880, 'isogeny_matrix': [[1]], 'lmfdb_iso': '380880.fu', 'trace_hash': 1957602794076609104}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.043715618858152481865420207572', 'prec': 107}, 'conductor': 380880, 'gens': [[-23, 1035, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.91838457191423339945594592824', 'prec': 103}], 'lmfdb_label': '380880.fu1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.43682292832729166696274977916', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.2210858846152690858475727727856438049', 'prec': 130}, 'tamagawa_product': 18, 'torsion_generators': [], 'xcoord_integral_points': [-23]}
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lmfdb_label 380880.fu1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 15770038
{'degree': 3, 'field': [17, -15, -1, 1], 'lmfdb_label': '380880.fu1', 'torsion': [2]}
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id: 15770039
{'degree': 6, 'field': [-145, 195, 246, -1, -34, -1, 1], 'lmfdb_label': '380880.fu1', 'torsion': [2, 2]}
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id: 15770040
{'degree': 8, 'field': [-27, 0, -39, 0, -18, 0, 0, 0, 1], 'lmfdb_label': '380880.fu1', 'torsion': [3]}
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id: 15770041
{'degree': 12, 'field': [72357, -87618, 16228, 21650, -8685, 516, -1144, 444, 15, -10, 4, -6, 1], 'lmfdb_label': '380880.fu1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 9421185
{'conductor': 380880, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '380880.fu1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 9421186
{'conductor': 380880, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '380880.fu1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 9421187
{'conductor': 380880, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '380880.fu1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 9421188
{'conductor': 380880, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '380880.fu1', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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{'adelic_gens': [[1, 2, 0, 1], [9, 2, 8, 3], [1, 0, 2, 1], [7, 2, 7, 3], [1, 1, 9, 0]], 'adelic_image': '10.2.0.?', 'conductor': 380880, 'lmfdb_label': '380880.fu1', 'prime': 0}
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lmfdb_iso 380880.fu does not appear in ec_padic