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ec_curvedata • Show schema
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{'Ciso': '4900a', 'Clabel': '4900a2', 'Cnumber': 2, 'abc_quality': 0.9989714715999977, 'absD': 1441200250000, 'adelic_genus': 28, 'adelic_index': 864, 'adelic_level': 1260, 'ainvs': [0, -1, 0, -174358, -27964663], 'analytic_rank': 0, 'bad_primes': [2, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 4900, 'degree': 13608, 'elladic_images': ['2.2.0.1', '9.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5726392525373254297419930288', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 6, 'isogeny_degrees': [1, 3], 'jinv': [406749952, 1], 'lmfdb_iso': '4900.g', 'lmfdb_label': '4900.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -142, 701], 'min_quad_twist_disc': -35, 'modell_images': ['2Cn', '3B'], 'modm_images': ['2.2.0.a.1', '3.4.0.a.1', '6.8.0.a.1', '9.12.0.b.1', '12.16.0.a.1', '14.6.0.a.1', '15.8.0-3.a.1.1', '18.72.2.c.1', '20.4.0-2.a.1.1', '30.16.0-6.a.1.1', '36.144.6.i.2', '42.24.0.a.1', '45.24.0-9.b.1.2', '60.32.0-12.a.1.4', '63.36.0.h.1', '84.48.2.?', '90.144.2.?', '126.216.10.?', '140.12.0.?', '180.288.6.?', '210.48.0.?', '252.432.28.?', '315.72.0.?', '420.96.2.?', '630.432.10.?', '1260.864.28.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.76040219656991539743436584059', 'prec': 107}, 'szpiro_ratio': 5.627899273846724, '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, 0, 0, -2, 0, -3, 0, -2, 0, 0, 0, -3, 0, -1, 0], 'aplist': [0, -1, 0, 0, -3, -2, -3, -1, -3, -6, -7, 1, 6, 4, 9, -3, 9, -1, 7, 0, 1, -13, -12, 15, 10], 'class_deg': 3, 'class_size': 2, 'conductor': 4900, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '4900.g', 'trace_hash': 1009899031125393597}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.043054931360023859051851497643', 'prec': 107}, 'conductor': 4900, 'gens': [], 'heights': [], 'lmfdb_label': '4900.g1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.23363555847070556930671900334', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.70090667541211670792015701002857520067', 'prec': 133}, 'tamagawa_product': 3, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 1], '5': 'a', '7': 'a', '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [2, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '4900.g1'}
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ec_torsion_growth • Show schema
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id: 255739
{'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '4900.g1', 'torsion': [3]}
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id: 255740
{'degree': 3, 'field': [1, -2, -1, 1], 'lmfdb_label': '4900.g1', 'torsion': [2, 2]}
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id: 255741
{'degree': 6, 'field': [-29, -53, 30, -9, 6, -1, 1], 'lmfdb_label': '4900.g1', 'torsion': [3]}
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id: 255742
{'degree': 6, 'field': [139, -9, 49, -5, 7, -1, 1], 'lmfdb_label': '4900.g1', 'torsion': [2, 6]}
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id: 255743
{'degree': 12, 'field': [169, -26, -880, 1822, -2847, 2624, -1544, 662, -178, 12, 8, -4, 1], 'lmfdb_label': '4900.g1', 'torsion': [2, 4]}
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id: 255744
{'degree': 12, 'field': [400, 1200, 1520, 960, -384, -372, 343, -195, 36, -15, 8, -3, 1], 'lmfdb_label': '4900.g1', 'torsion': [3, 3]}
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id: 255746
{'degree': 18, 'field': [-1, -5, 28, 11, -75, 69, -65, -162, 295, 131, -304, -50, 44, 25, 30, -4, -9, 0, 1], 'lmfdb_label': '4900.g1', 'torsion': [2, 6]}
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id: 255745
{'degree': 18, 'field': [13915, -46860, 70119, -5828, -40425, -3420, 45564, 8292, 3420, -4264, -2217, 1368, 2409, -972, 207, -68, 30, 0, 1], 'lmfdb_label': '4900.g1', 'torsion': [9]}
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ec_localdata • Show schema
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id: 94454
{'conductor': 4900, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '4900.g1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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id: 94455
{'conductor': 4900, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '4900.g1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 94456
{'conductor': 4900, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '4900.g1', 'prime': 7, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1695914
{'adelic_gens': [[1225, 36, 1224, 37], [31, 6, 364, 355], [19, 36, 42, 1207], [631, 540, 270, 901], [1, 0, 36, 1], [1, 36, 0, 1], [1114, 495, 1215, 1129], [503, 0, 0, 1259], [571, 1020, 370, 251]], 'adelic_image': '1260.864.28.?', 'conductor': 4900, 'lmfdb_label': '4900.g1', 'prime': 0}
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id: 24315
{'conductor': 4900, 'elladic_image': '2.2.0.1', 'lmfdb_label': '4900.g1', 'modell_image': '2Cn', 'prime': 2}
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id: 24316
{'conductor': 4900, 'elladic_image': '9.12.0.2', 'lmfdb_label': '4900.g1', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 4900.g does not appear in ec_padic
