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ec_curvedata • Show schema
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{'Ciso': '131904bb', 'Clabel': '131904bb1', 'Cnumber': 1, 'abc_quality': 0.800753878141722, 'absD': 170947584, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 458, 'ainvs': [0, 0, 0, -984, -11864], 'analytic_rank': 2, 'bad_primes': [2, 3, 229], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 131904, 'degree': 84480, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.47664699691031924222347297315', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1], 'jinv': [141150208, 229], 'lmfdb_iso': '131904.c', 'lmfdb_label': '131904.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -27, 64], 'min_quad_twist_disc': -24, 'modell_images': [], 'modm_images': ['458.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '4.8032232539521565736283491882', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2061], [3, 2, 14656], [229, 230, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.65028179789035669465517641319', 'prec': 107}, 'szpiro_ratio': 2.738672367912796, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -3, 0, -4, 0, 0, 0, -5, 0, 4, 0, 0, 0, -1, 0, -1, 0], 'aplist': [0, 0, -3, -4, -5, 4, -1, -1, 4, -6, -10, -6, 0, -5, 10, 6, 10, -1, 4, 15, -14, 2, -15, -2, -9], 'class_deg': 1, 'class_size': 1, 'conductor': 131904, 'isogeny_matrix': [[1]], 'lmfdb_iso': '131904.c', 'trace_hash': 1978799422358695683}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.38546919675767979530638815318', 'prec': 103}, 'conductor': 131904, 'gens': [[-18, 4, 1], [-158, 8, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3544921056018688036569182365', 'prec': 100}, {'__RealLiteral__': 0, 'data': '3.5476071789719024524778040687', 'prec': 100}], 'lmfdb_label': '131904.c1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.85249747066623934505554123999', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.1894713500789545898613336711374289577', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [-18, 105, 129]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [2, 0], '7': [2, 0], '11': [2, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 2, 0], '43': [2, 0], '47': [2, 0], '229': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '131904.c1'}
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ec_torsion_growth • Show schema
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id: 5987848
{'degree': 3, 'field': [-1, -4, 0, 1], 'lmfdb_label': '131904.c1', 'torsion': [2]}
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id: 5987849
{'degree': 6, 'field': [-1, -2, 14, 0, -14, -2, 1], 'lmfdb_label': '131904.c1', 'torsion': [2, 2]}
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id: 5987850
{'degree': 8, 'field': [-6075, 0, -2458, 0, -270, 0, 0, 0, 1], 'lmfdb_label': '131904.c1', 'torsion': [3]}
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id: 5987851
{'degree': 12, 'field': [667764, 0, -1571238, 0, 153333, 0, 14310, 0, -693, 0, 0, 0, 1], 'lmfdb_label': '131904.c1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 3252862
{'conductor': 131904, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '131904.c1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 3252863
{'conductor': 131904, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '131904.c1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 3252864
{'conductor': 131904, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '131904.c1', 'prime': 229, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[1, 1, 457, 0], [1, 0, 2, 1], [1, 2, 0, 1], [235, 2, 235, 3], [457, 2, 456, 3]], 'adelic_image': '458.2.0.?', 'conductor': 131904, 'lmfdb_label': '131904.c1', 'prime': 0}
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lmfdb_iso 131904.c does not appear in ec_padic
