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ec_curvedata • Show schema
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{'Ciso': '4800l', 'Clabel': '4800l4', 'Cnumber': 4, 'abc_quality': 1.0757503122978644, 'absD': 61917364224000, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 120, 'ainvs': [0, -1, 0, -52993, 4697857], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 4800, 'degree': 15360, 'elladic_images': ['2.3.0.1', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5057421347228099557171849137', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 10, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [502270291349, 1889568], 'lmfdb_iso': '4800.l', 'lmfdb_label': '4800.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -828, 9072], 'min_quad_twist_disc': 8, 'modell_images': ['2B', '5B.4.1'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.1', '10.72.0-10.a.2.2', '24.6.0.j.1', '40.144.1-40.bf.1.11', '60.144.1-60.cj.2.15', '120.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.063661885774366897941146898207', 'prec': 107}, 'szpiro_ratio': 5.220083712745366, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 0, 0, -2, 0, 1, 0, -2, 0, 6, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, -1, 0, -2, -2, 6, -2, 0, 4, 0, -8, 2, 2, -4, 8, 6, -10, -2, -8, 12, 4, 0, -4, -10, 8], 'class_deg': 10, 'class_size': 4, 'conductor': 4800, 'isogeny_matrix': [[1, 5, 2, 10], [5, 1, 10, 2], [2, 10, 1, 5], [10, 2, 5, 1]], 'lmfdb_iso': '4800.l', 'trace_hash': 1920552859962787276}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.049218570897060360041838427550', 'prec': 107}, 'conductor': 4800, 'gens': [], 'heights': [], 'lmfdb_label': '4800.l1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.62552760605814757619996023474', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2510552121162951523999204694680337913', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[127, 0, 1]], 'xcoord_integral_points': [127]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '5': 'a'}, 'iwp0': 7, 'lmfdb_label': '4800.l1'}
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ec_torsion_growth • Show schema
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id: 249126
{'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '4800.l1', 'torsion': [2, 2]}
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id: 249127
{'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '4800.l1', 'torsion': [10]}
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id: 249129
{'degree': 4, 'field': [4, 0, -6, 0, 1], 'lmfdb_label': '4800.l1', 'torsion': [2, 10]}
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id: 249128
{'degree': 4, 'field': [40, 0, -10, 0, 1], 'lmfdb_label': '4800.l1', 'torsion': [4]}
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id: 249132
{'degree': 8, 'field': [-1200, 0, -50, 0, 120, 0, 0, 0, 1], 'lmfdb_label': '4800.l1', 'torsion': [6]}
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id: 249130
{'degree': 8, 'field': [1, 0, -6, 0, 26, 0, -6, 0, 1], 'lmfdb_label': '4800.l1', 'torsion': [2, 4]}
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id: 249131
{'degree': 8, 'field': [36, 0, -112, 0, 44, 0, -8, 0, 1], 'lmfdb_label': '4800.l1', 'torsion': [2, 4]}
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id: 249133
{'degree': 8, 'field': [81, 0, 18, 0, 34, 0, 2, 0, 1], 'lmfdb_label': '4800.l1', 'torsion': [20]}
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id: 249136
{'degree': 16, 'field': [1, 0, 6, 0, 10, 0, 144, 0, 639, 0, 144, 0, 10, 0, 6, 0, 1], 'lmfdb_label': '4800.l1', 'torsion': [2, 20]}
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id: 249137
{'degree': 16, 'field': [16, 0, -256, 0, 1240, 0, -1824, 0, 384, 0, -144, 0, 70, 0, -16, 0, 1], 'lmfdb_label': '4800.l1', 'torsion': [2, 20]}
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id: 249138
{'degree': 16, 'field': [776, 944, -2180, -5952, -602, 8212, -5879, -3268, 0, 2726, -43, -872, 137, 102, -22, -4, 1], 'lmfdb_label': '4800.l1', 'torsion': [30]}
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id: 249134
{'degree': 16, 'field': [3226, 8720, 19996, 25400, 25170, 16520, 7504, -240, -1991, -1260, -16, 120, 50, -20, -4, 0, 1], 'lmfdb_label': '4800.l1', 'torsion': [8]}
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id: 249135
{'degree': 16, 'field': [4096, 0, 1120, 0, 1828, 0, -2080, 0, 3224, 0, -340, 0, 52, 0, -20, 0, 1], 'lmfdb_label': '4800.l1', 'torsion': [2, 6]}
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id: 249139
{'degree': 20, 'field': [81920, 0, 51200, 0, -44800, 0, -38400, 0, 3200, 0, 8640, 0, 2160, 0, 240, 0, 60, 0, 10, 0, 1], 'lmfdb_label': '4800.l1', 'torsion': [10]}
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ec_localdata • Show schema
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id: 91915
{'conductor': 4800, 'conductor_valuation': 6, 'discriminant_valuation': 23, 'j_denominator_valuation': 5, 'kodaira_symbol': -17, 'lmfdb_label': '4800.l1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 91916
{'conductor': 4800, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '4800.l1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 91917
{'conductor': 4800, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '4800.l1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1695257
{'adelic_gens': [[104, 115, 105, 14], [11, 16, 0, 11], [101, 20, 100, 21], [1, 20, 0, 1], [31, 20, 70, 81], [41, 20, 50, 81], [1, 0, 20, 1], [66, 5, 55, 82], [1, 10, 10, 101]], 'adelic_image': '120.288.5.?', 'conductor': 4800, 'lmfdb_label': '4800.l1', 'prime': 0}
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id: 23789
{'conductor': 4800, 'elladic_image': '2.3.0.1', 'lmfdb_label': '4800.l1', 'modell_image': '2B', 'prime': 2}
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id: 23790
{'conductor': 4800, 'elladic_image': '5.12.0.1', 'lmfdb_label': '4800.l1', 'modell_image': '5B.4.1', 'prime': 5}
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lmfdb_iso 4800.l does not appear in ec_padic
