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ec_curvedata • Show schema
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{'Ciso': '159120v', 'Clabel': '159120v1', 'Cnumber': 1, 'abc_quality': 0.8734158543387245, 'absD': 230913070202880, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 26520, 'ainvs': [0, 0, 0, -34707, 2593874], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 159120, 'degree': 430080, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5171252833117829865309305595', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 105, 'isogeny_degrees': [1], 'jinv': [-1548415333009, 77332320], 'lmfdb_iso': '159120.eb', 'lmfdb_label': '159120.eb1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -241, 1481], 'min_quad_twist_disc': 12, 'modell_images': [], 'modm_images': ['26520.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.9316295638112122061388288836', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.27467195841778283141607581958', 'prec': 103}, 'szpiro_ratio': 3.5951393169328694, '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, -1, 0, -1, 0, 0, 0, 1, 0, -1, 0], 'aplist': [0, 0, 1, 2, -1, -1, 1, -1, 0, 8, -5, -3, -4, 9, 6, -2, -14, -3, 4, -10, -4, -12, -3, 3, -2], 'class_deg': 1, 'class_size': 1, 'conductor': 159120, 'isogeny_matrix': [[1]], 'lmfdb_iso': '159120.eb', 'trace_hash': 1306001539989985482}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.048110705136464668159368866413', 'prec': 107}, 'conductor': 159120, 'gens': [[-185, 1638, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.9316295638112122061388288836', 'prec': 100}], 'lmfdb_label': '159120.eb1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.55178327442542099433723207574', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.6776297381901613896570792954814733424', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [-185]}
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lmfdb_label 159120.eb1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 7119886
{'degree': 3, 'field': [-94, 3, 0, 1], 'lmfdb_label': '159120.eb1', 'torsion': [2]}
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id: 7119887
{'degree': 6, 'field': [238680, 0, 81, 0, 18, 0, 1], 'lmfdb_label': '159120.eb1', 'torsion': [2, 2]}
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id: 7119888
{'degree': 8, 'field': [-583443, 0, -212328, 0, -2646, 0, 0, 0, 1], 'lmfdb_label': '159120.eb1', 'torsion': [3]}
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id: 7119889
{'degree': 12, 'field': [-106080, 0, -9979484, 0, -1954815, 0, -138220, 0, -3610, 0, 0, 0, 1], 'lmfdb_label': '159120.eb1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 3935622
{'conductor': 159120, 'conductor_valuation': 4, 'discriminant_valuation': 17, 'j_denominator_valuation': 5, 'kodaira_symbol': -13, 'lmfdb_label': '159120.eb1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 3935623
{'conductor': 159120, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '159120.eb1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 3935624
{'conductor': 159120, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '159120.eb1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 3935625
{'conductor': 159120, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '159120.eb1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 3935626
{'conductor': 159120, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '159120.eb1', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[17681, 2, 17681, 3], [26519, 2, 26518, 3], [24481, 2, 24481, 3], [1, 0, 2, 1], [21217, 2, 21217, 3], [1, 2, 0, 1], [6631, 2, 0, 1], [12481, 2, 12481, 3], [13261, 2, 13261, 3], [1, 1, 26519, 0]], 'adelic_image': '26520.2.0.?', 'conductor': 159120, 'lmfdb_label': '159120.eb1', 'prime': 0}
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lmfdb_iso 159120.eb does not appear in ec_padic