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ec_curvedata • Show schema
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{'Ciso': '142272eq', 'Clabel': '142272eq1', 'Cnumber': 1, 'abc_quality': 0.9964636873996318, 'absD': 206866699932672, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, 0, 0, -53400, 4698952], 'analytic_rank': 0, 'bad_primes': [2, 3, 13, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 142272, 'degree': 573440, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5571978013632025154031548742', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 101, 'isogeny_degrees': [1, 2], 'jinv': [22559008000000, 277116957], 'lmfdb_iso': '142272.dx', 'lmfdb_label': '142272.dx1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1483, -21260], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.c.1', '26.6.0.b.1', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 117], [3, 8, 15808], [13, 14, 10944], [19, 20, 7488]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.43026900656252657852450548786', 'prec': 103}, 'szpiro_ratio': 3.7310114231679155, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, 4, 0, 0, 0, -6, 0, 1, 0, 0, 0, -2, 0, 1, 0], 'aplist': [0, 0, 0, 4, -6, 1, -2, 1, 0, -2, 8, 2, 4, 4, -6, 2, 10, -10, -8, -2, 14, -8, 10, 0, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 142272, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '142272.dx', 'trace_hash': 1411061474897950496}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.044405337503495078319204511179', 'prec': 107}, 'conductor': 142272, 'gens': [], 'heights': [], 'lmfdb_label': '142272.dx1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.56514294813967171333912951162', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2605717925586868533565180464587611989', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[122, 0, 1]], 'xcoord_integral_points': [122]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '13': [1, 0], '19': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '142272.dx1'}
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ec_torsion_growth • Show schema
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id: 6428633
{'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '142272.dx1', 'torsion': [2, 2]}
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id: 6428634
{'degree': 4, 'field': [52, 0, -14, 0, 1], 'lmfdb_label': '142272.dx1', 'torsion': [4]}
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id: 6428637
{'degree': 8, 'field': [-904203, 0, -7506, 0, -3294, 0, 0, 0, 1], 'lmfdb_label': '142272.dx1', 'torsion': [6]}
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id: 6428636
{'degree': 8, 'field': [144, 0, 24, 0, 16, 0, -2, 0, 1], 'lmfdb_label': '142272.dx1', 'torsion': [2, 4]}
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id: 6428635
{'degree': 8, 'field': [96412761, 0, 433104, 0, -25517, 0, 14, 0, 1], 'lmfdb_label': '142272.dx1', 'torsion': [2, 4]}
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id: 6428638
{'degree': 16, 'field': [18567481, 0, -3349400, 0, -72731, 0, 378760, 0, -32750, 0, -5192, 0, 928, 0, -50, 0, 1], 'lmfdb_label': '142272.dx1', 'torsion': [8]}
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id: 6428639
{'degree': 16, 'field': [1224440064, 0, 14569362432, 0, -3141763200, 0, 146769408, 0, 299376, 0, -112128, 0, -1512, 0, 0, 0, 1], 'lmfdb_label': '142272.dx1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 3515999
{'conductor': 142272, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '142272.dx1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 3516000
{'conductor': 142272, 'conductor_valuation': 2, 'discriminant_valuation': 16, 'j_denominator_valuation': 10, 'kodaira_symbol': -14, 'lmfdb_label': '142272.dx1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 3516001
{'conductor': 142272, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '142272.dx1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 3516002
{'conductor': 142272, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '142272.dx1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2588569
{'adelic_gens': [[1, 2, 2, 5], [53, 4, 106, 9], [134, 1, 11, 0], [3, 4, 8, 11], [153, 4, 152, 5], [1, 4, 0, 1], [41, 118, 116, 39], [1, 0, 4, 1]], 'adelic_image': '156.12.0.?', 'conductor': 142272, 'lmfdb_label': '142272.dx1', 'prime': 0}
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id: 549452
{'conductor': 142272, 'elladic_image': '2.3.0.1', 'lmfdb_label': '142272.dx1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 142272.dx does not appear in ec_padic