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ec_curvedata • Show schema
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{'Ciso': '124950fz', 'Clabel': '124950fz2', 'Cnumber': 2, 'abc_quality': 1.025057858355968, 'absD': 1913219167595400000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2040, 'ainvs': [1, 1, 1, -56587063, -163851535219], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 124950, 'degree': 17418240, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1202752267497785799206138699', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 125, 'isogeny_degrees': [1, 2], 'jinv': [10901014250685308569, 1040774054400], 'lmfdb_iso': '124950.ev', 'lmfdb_label': '124950.ev1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -46193, 3801813], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.c.1', '136.6.0.?', '2040.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 20825], [3, 4, 20825], [5, 18, 4998], [7, 26, 850], [17, 18, 7350]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3426011960050717400675578316', 'prec': 100}, 'szpiro_ratio': 5.552940887493018, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, -1, 1, 0, -1, 0, 1, 1, 0, -4, -1, 4, 0, 0, 1, 1, 1, 4, 0], 'aplist': [1, -1, 0, 0, -4, 4, 1, 4, -8, 2, -4, -6, -8, -6, 8, 2, 6, -14, 2, 2, 4, 0, -16, 2, 0], 'class_deg': 2, 'class_size': 2, 'conductor': 124950, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '124950.ev', 'trace_hash': 1123043633493409694}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0019487825133969364019507565707', 'prec': 110}, 'conductor': 124950, 'gens': [], 'heights': [], 'lmfdb_label': '124950.ev1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.055045618291976075661816082874', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9816422585111387238253789834630023422', 'prec': 130}, 'tamagawa_product': 144, 'torsion_generators': [[-17245, 17241, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [9, 0], '3': [2, 0], '5': 'a', '7': 'a', '17': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '124950.ev1'}
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ec_torsion_growth • Show schema
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id: 5699636
{'degree': 2, 'field': [-34, 0, 1], 'lmfdb_label': '124950.ev1', 'torsion': [2, 2]}
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id: 5699637
{'degree': 4, 'field': [6664, 0, 161, 0, 1], 'lmfdb_label': '124950.ev1', 'torsion': [4]}
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id: 5699639
{'degree': 8, 'field': [-97746, 1204736, -1162904, -83232, 40537, 1292, -426, -4, 1], 'lmfdb_label': '124950.ev1', 'torsion': [2, 4]}
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id: 5699640
{'degree': 8, 'field': [-32674, 60469, -60928, 917, -455, -7, 7, -4, 1], 'lmfdb_label': '124950.ev1', 'torsion': [6]}
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id: 5699638
{'degree': 8, 'field': [563634, 699660, 340290, 81312, 8419, -440, -166, -4, 1], 'lmfdb_label': '124950.ev1', 'torsion': [2, 4]}
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id: 5699641
{'degree': 16, 'field': [16570125625, 0, -6759942500, 0, 6897307000, 0, -1044408500, 0, 33624550, 0, 627700, 0, 17320, 0, 100, 0, 1], 'lmfdb_label': '124950.ev1', 'torsion': [8]}
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id: 5699642
{'degree': 16, 'field': [853353203250, 2908777457100, -2779163816755, -257671835260, 125002876460, 4446383830, -1233665825, -199103600, 32663541, 11071962, -1881957, -176456, 25375, 1834, -242, -8, 1], 'lmfdb_label': '124950.ev1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 3080502
{'conductor': 124950, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '124950.ev1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 9}
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id: 3080503
{'conductor': 124950, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '124950.ev1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 3080504
{'conductor': 124950, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '124950.ev1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 3080505
{'conductor': 124950, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '124950.ev1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 3080506
{'conductor': 124950, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '124950.ev1', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2479305
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [817, 4, 1634, 9], [2037, 4, 2036, 5], [482, 1, 1799, 0], [1361, 4, 682, 9], [257, 1786, 1784, 255], [2, 1, 1019, 0]], 'adelic_image': '2040.12.0.?', 'conductor': 124950, 'lmfdb_label': '124950.ev1', 'prime': 0}
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id: 488874
{'conductor': 124950, 'elladic_image': '2.3.0.1', 'lmfdb_label': '124950.ev1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 124950.ev does not appear in ec_padic