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ec_curvedata • Show schema
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{'Ciso': '57960l', 'Clabel': '57960l2', 'Cnumber': 2, 'abc_quality': 0.9443679659291516, 'absD': 14394528519840000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3864, 'ainvs': [0, 0, 0, -833223, -292688422], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 57960, 'degree': 655360, 'elladic_images': ['8.24.0.18'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0929578720000784165133150657', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [342799332162880336, 77131175625], 'lmfdb_iso': '57960.d', 'lmfdb_label': '57960.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -92580, 10871172], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.e.1', '12.24.0-4.b.1.3', '24.48.0-8.e.1.9', '28.24.0-4.b.1.2', '56.48.0-8.e.1.8', '84.48.0.?', '168.96.0.?', '184.48.0.?', '552.96.0.?', '1288.96.0.?', '3864.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0815536072927266978708710329', 'prec': 100}, 'szpiro_ratio': 4.788031238435963, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, -4, 0, 6, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, -1, -1, -4, 6, -2, -4, -1, -6, 0, 6, -10, -4, -8, -6, -4, -2, 4, 8, -6, 0, -4, -10, -6], 'class_deg': 8, 'class_size': 6, 'conductor': 57960, 'isogeny_matrix': [[1, 2, 4, 8, 8, 4], [2, 1, 2, 4, 4, 2], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [8, 4, 2, 4, 1, 8], [4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '57960.d', 'trace_hash': 986763138199938535}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.015208272678779850097515195923', 'prec': 107}, 'conductor': 57960, 'gens': [], 'heights': [], 'lmfdb_label': '57960.d3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.15802110930176317097230668342', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.63208443720705268388922673367668548367', 'prec': 133}, 'tamagawa_product': 64, 'torsion_generators': [[-521, 0, 1], [1054, 0, 1]], 'xcoord_integral_points': [-533, -521, 1054]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [0, 0], '7': [0, 0], '23': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '57960.d3'}
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ec_torsion_growth • Show schema
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id: 2790301
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '57960.d3', 'torsion': [2, 4]}
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id: 2790303
{'degree': 4, 'field': [1, 0, -5, 0, 1], 'lmfdb_label': '57960.d3', 'torsion': [2, 4]}
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id: 2790302
{'degree': 4, 'field': [22, 2, -1, -2, 1], 'lmfdb_label': '57960.d3', 'torsion': [2, 4]}
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id: 2790308
{'degree': 8, 'field': [-243, 0, 56916, 0, -54, 0, 0, 0, 1], 'lmfdb_label': '57960.d3', 'torsion': [2, 6]}
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id: 2790304
{'degree': 8, 'field': [16, 0, 12, 0, 5, 0, 3, 0, 1], 'lmfdb_label': '57960.d3', 'torsion': [4, 4]}
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id: 2790306
{'degree': 8, 'field': [14641, 0, 2904, 0, 455, 0, 24, 0, 1], 'lmfdb_label': '57960.d3', 'torsion': [2, 8]}
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id: 2790307
{'degree': 8, 'field': [17686, -1312, 1576, -526, 259, 2, 4, -4, 1], 'lmfdb_label': '57960.d3', 'torsion': [2, 8]}
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id: 2790305
{'degree': 8, 'field': [50625, 0, -3600, 0, 31, 0, -16, 0, 1], 'lmfdb_label': '57960.d3', 'torsion': [2, 8]}
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id: 2790311
{'degree': 16, 'field': [9, 0, -6324, 0, 4443646, 0, -12648, 0, 39, 0, -4216, 0, 6, 0, 0, 0, 1], 'lmfdb_label': '57960.d3', 'torsion': [2, 12]}
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id: 2790309
{'degree': 16, 'field': [27468081, 0, -261876384, 0, 616486728, 0, 34308624, 0, 97438, 0, -122752, 0, 5112, 0, -112, 0, 1], 'lmfdb_label': '57960.d3', 'torsion': [2, 8]}
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id: 2790310
{'degree': 16, 'field': [294499921, 4496182, 34322, 18191184, -4511767, -314674, 557554, -210138, 48868, 6024, -4184, 1558, -247, -12, 8, -4, 1], 'lmfdb_label': '57960.d3', 'torsion': [4, 8]}
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ec_localdata • Show schema
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id: 1394649
{'conductor': 57960, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '57960.d3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 1394650
{'conductor': 57960, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '57960.d3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 1394651
{'conductor': 57960, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '57960.d3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1394652
{'conductor': 57960, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '57960.d3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1394653
{'conductor': 57960, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '57960.d3', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2048847
{'adelic_gens': [[5, 968, 2, 2899], [1, 0, 8, 1], [1, 8, 0, 1], [7, 6, 2754, 3859], [3857, 8, 3856, 9], [1937, 2904, 2872, 1901], [2569, 3858, 6, 5], [2857, 4, 0, 1], [5, 4, 3860, 3861]], 'adelic_image': '3864.192.1.?', 'conductor': 57960, 'lmfdb_label': '57960.d3', 'prime': 0}
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id: 245873
{'conductor': 57960, 'elladic_image': '8.24.0.18', 'lmfdb_label': '57960.d3', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 57960.d does not appear in ec_padic