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ec_curvedata • Show schema
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{'Ciso': '382200gk', 'Clabel': '382200gk1', 'Cnumber': 1, 'abc_quality': 0.8142153896670737, 'absD': 3468763116000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 182, 'ainvs': [0, 1, 0, 27767, -2194837], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 382200, 'degree': 1990656, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6673545361298453060576325200', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 166, 'isogeny_degrees': [1], 'jinv': [5030912, 7371], 'lmfdb_iso': '382200.gk', 'lmfdb_label': '382200.gk1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 23, 59], 'min_quad_twist_disc': -35, 'modell_images': [], 'modm_images': ['182.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 15925], [3, 4, 127400], [5, 14, 15288], [7, 32, 7800], [13, 14, 29400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.57241761498815840674024493264', 'prec': 107}, 'szpiro_ratio': 3.3247081189149537, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, -2, 0, -1, 0, 0, 0, 0, 0, -7, 0], 'aplist': [0, 1, 0, 0, -2, -1, 0, -7, 7, 3, 5, -4, 6, 11, -3, 9, 8, 14, -2, 0, 3, -3, 9, 9, 7], 'class_deg': 1, 'class_size': 1, 'conductor': 382200, 'isogeny_matrix': [[1]], 'lmfdb_iso': '382200.gk', 'trace_hash': 1500695977944691991}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.035624948989797154283513051024', 'prec': 107}, 'conductor': 382200, 'gens': [], 'heights': [], 'lmfdb_label': '382200.gk1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.23599727639423226892615415028', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7759564223077163028184664044437844165', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 382200.gk1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 15823540
{'degree': 3, 'field': [-2, 4, 0, 1], 'lmfdb_label': '382200.gk1', 'torsion': [2]}
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id: 15823541
{'degree': 6, 'field': [9, -33, 44, -23, 14, -3, 1], 'lmfdb_label': '382200.gk1', 'torsion': [2, 2]}
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id: 15823542
{'degree': 8, 'field': [2510579, 6474028, 2124182, 191490, 6210, 1326, 58, -4, 1], 'lmfdb_label': '382200.gk1', 'torsion': [3]}
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id: 15823543
{'degree': 12, 'field': [-40446, 28728, -455112, -31948, -97022, -40456, -3564, -6244, -36, -238, -2, -2, 1], 'lmfdb_label': '382200.gk1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 9456161
{'conductor': 382200, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '382200.gk1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 9456162
{'conductor': 382200, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '382200.gk1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 9456163
{'conductor': 382200, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '382200.gk1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 9456164
{'conductor': 382200, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '382200.gk1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 9456165
{'conductor': 382200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '382200.gk1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[181, 2, 180, 3], [1, 1, 181, 0], [1, 2, 0, 1], [1, 0, 2, 1], [15, 2, 15, 3], [157, 2, 157, 3]], 'adelic_image': '182.2.0.?', 'conductor': 382200, 'lmfdb_label': '382200.gk1', 'prime': 0}
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lmfdb_iso 382200.gk does not appear in ec_padic