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ec_curvedata • Show schema
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{'Ciso': '132600ch', 'Clabel': '132600ch1', 'Cnumber': 1, 'abc_quality': 0.887981066710847, 'absD': 1515058593750000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 510, 'ainvs': [0, -1, 0, 25992, -960363], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 132600, 'degree': 580608, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6008598252345741132455481446', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1], 'jinv': [7767586344704, 6060234375], 'lmfdb_iso': '132600.k', 'lmfdb_label': '132600.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 1040, -7267], 'min_quad_twist_disc': 5, 'modell_images': [], 'modm_images': ['510.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 8, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '2.3440808492068303276690275092', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1275], [3, 4, 44200], [5, 18, 5304], [13, 14, 10200], [17, 18, 7800]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56509180883087548947275777083', 'prec': 103}, 'szpiro_ratio': 3.570145575596647, '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, -1, 0, 1, 0, -3, 0, -1, 0, 0, 0, 1, 0, 1, 0], 'aplist': [0, -1, 0, -1, -3, -1, 1, 1, -6, -9, 2, -5, -11, 2, 3, 9, -6, 12, 2, 0, -11, -16, 4, -4, -6], 'class_deg': 1, 'class_size': 1, 'conductor': 132600, 'isogeny_matrix': [[1]], 'lmfdb_iso': '132600.k', 'trace_hash': 963785992071720657}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.040692167471586488386687239569', 'prec': 107}, 'conductor': 132600, 'gens': [[182, 3125, 1], [262, 4875, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.88639818632454922590900170041', 'prec': 103}, {'__RealLiteral__': 0, 'data': '2.6457983060328845533370463086', 'prec': 100}], 'lmfdb_label': '132600.k1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.26561837471232450811796650288', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.9620951257696591876693587328871000906', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': [37, 182, 262, 9557]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [4, 0], '5': 'a', '7': [2, 0], '11': [2, 0], '13': [2, 0], '17': [3, 0], '19': [2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '132600.k1'}
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ec_torsion_growth • Show schema
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id: 6017541
{'degree': 3, 'field': [-3, 0, -1, 1], 'lmfdb_label': '132600.k1', 'torsion': [2]}
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id: 6017542
{'degree': 6, 'field': [81, -27, 48, 21, -2, -2, 1], 'lmfdb_label': '132600.k1', 'torsion': [2, 2]}
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id: 6017543
{'degree': 8, 'field': [-145200, 0, 5680, 0, -1320, 0, 0, 0, 1], 'lmfdb_label': '132600.k1', 'torsion': [3]}
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id: 6017544
{'degree': 12, 'field': [-408000, 0, 364544, 0, -452640, 0, 7120, 0, 500, 0, 0, 0, 1], 'lmfdb_label': '132600.k1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 3270862
{'conductor': 132600, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '132600.k1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 3270863
{'conductor': 132600, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '132600.k1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 3270864
{'conductor': 132600, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '132600.k1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 3270865
{'conductor': 132600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '132600.k1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 3270866
{'conductor': 132600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '132600.k1', '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': [[307, 2, 307, 3], [509, 2, 508, 3], [1, 1, 509, 0], [241, 2, 241, 3], [341, 2, 341, 3], [1, 0, 2, 1], [1, 2, 0, 1]], 'adelic_image': '510.2.0.?', 'conductor': 132600, 'lmfdb_label': '132600.k1', 'prime': 0}
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lmfdb_iso 132600.k does not appear in ec_padic