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ec_curvedata • Show schema
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{'Ciso': '377706d', 'Clabel': '377706d1', 'Cnumber': 1, 'abc_quality': 0.842578523392677, 'absD': 14177856592929456, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 16422, 'ainvs': [1, 1, 0, -85444, 11155264], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 377706, 'degree': 3548160, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8213531172194062041822081634', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1], 'jinv': [-466025146777, 95773104], 'lmfdb_iso': '377706.d', 'lmfdb_label': '377706.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -161, -987], 'min_quad_twist_disc': -23, 'modell_images': [], 'modm_images': ['16422.2.0.?'], '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': '2.3063761236520933602894346235', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.25360600925483135877883174750', 'prec': 103}, 'szpiro_ratio': 3.5808147448283774, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, 1, -3, 1, 1, -1, 1, 3, 2, -1, -2, -1, 3, 1, -1, -1, -5, -3], 'aplist': [-1, -1, -3, 1, 2, -2, -1, -5, 0, -3, 3, 7, 8, 0, 0, 6, -3, 2, 16, 1, -3, -3, 12, -6, -8], 'class_deg': 1, 'class_size': 1, 'conductor': 377706, 'isogeny_matrix': [[1]], 'lmfdb_iso': '377706.d', 'trace_hash': 1444775138462619155}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.026181395013897595980825769655', 'prec': 107}, 'conductor': 377706, 'gens': [[-240, 4352, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.3063761236520933602894346235', 'prec': 100}], 'lmfdb_label': '377706.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.37917853335120212989386352503', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4981132636905262787862248453239996352', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [-240]}
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lmfdb_label 377706.d1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 15652214
{'degree': 3, 'field': [-6, 13, -1, 1], 'lmfdb_label': '377706.d1', 'torsion': [2]}
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id: 15652215
{'degree': 6, 'field': [8211, 0, 1444, 0, 76, 0, 1], 'lmfdb_label': '377706.d1', 'torsion': [2, 2]}
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id: 15652216
{'degree': 8, 'field': [-5905227, 0, 537832, 0, 8418, 0, 0, 0, 1], 'lmfdb_label': '377706.d1', 'torsion': [3]}
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id: 15652217
{'degree': 12, 'field': [21417814464, -10581533872, 942083398, 53116370, 1959039, -524298, -94971, 101670, 5802, -66, 19, -4, 1], 'lmfdb_label': '377706.d1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 9345485
{'conductor': 377706, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '377706.d1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 9345486
{'conductor': 377706, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '377706.d1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 9345487
{'conductor': 377706, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '377706.d1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 9345488
{'conductor': 377706, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '377706.d1', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 9345489
{'conductor': 377706, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '377706.d1', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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{'adelic_gens': [[1, 0, 2, 1], [1, 2, 0, 1], [4693, 2, 4693, 3], [16421, 2, 16420, 3], [10949, 2, 10949, 3], [4831, 2, 4831, 3], [1, 1, 16421, 0], [2857, 2, 2857, 3]], 'adelic_image': '16422.2.0.?', 'conductor': 377706, 'lmfdb_label': '377706.d1', 'prime': 0}
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lmfdb_iso 377706.d does not appear in ec_padic