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ec_curvedata • Show schema
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{'Ciso': '4800bp', 'Clabel': '4800bp6', 'Cnumber': 6, 'abc_quality': 1.0522127879225598, 'absD': 36864000000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, -1, 0, -533633, 149935137], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 4800, 'degree': 55296, 'elladic_images': ['8.12.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0620321219933471770068541096', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4102915888729, 9000000], 'lmfdb_iso': '4800.d', 'lmfdb_label': '4800.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -334, -2368], 'min_quad_twist_disc': -40, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '8.12.0-2.a.1.1', '12.96.0-12.a.1.4', '20.12.0-2.a.1.1', '24.192.1-24.cp.2.12', '40.24.0-40.a.1.2', '60.192.1-60.h.3.13', '120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 1600], [5, 18, 192]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.21759239493637902558062626080', 'prec': 103}, 'szpiro_ratio': 6.03748875139616, '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, -1, 0, 0, 0, -4, 0, 1, 0, 0, 0, 2, 0, 0, 0, -6, 0, -4, 0], 'aplist': [0, -1, 0, -4, 0, 2, -6, -4, 0, 6, -8, 2, -6, 4, 0, -6, 0, 10, 4, 0, -2, -8, -12, 18, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 4800, 'isogeny_matrix': [[1, 4, 2, 12, 3, 6, 4, 12], [4, 1, 2, 3, 12, 6, 4, 12], [2, 2, 1, 6, 6, 3, 2, 6], [12, 3, 6, 1, 4, 2, 12, 4], [3, 12, 6, 4, 1, 2, 12, 4], [6, 6, 3, 2, 2, 1, 6, 2], [4, 4, 2, 12, 12, 6, 1, 3], [12, 12, 6, 4, 4, 2, 3, 1]], 'lmfdb_iso': '4800.d', 'trace_hash': 787849259103534053}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.016178626754326330795797917360', 'prec': 107}, 'conductor': 4800, 'gens': [], 'heights': [], 'lmfdb_label': '4800.d3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.36631574953238044635699007777', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.73263149906476089271398015553248510016', 'prec': 133}, 'tamagawa_product': 32, 'torsion_generators': [[407, 0, 1], [437, 0, 1]], 'xcoord_integral_points': [-843, 407, 437]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '5': 'a'}, 'iwp0': 5, 'lmfdb_label': '4800.d3'}
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ec_torsion_growth • Show schema
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id: 250102
{'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '4800.d3', 'torsion': [2, 6]}
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id: 250105
{'degree': 4, 'field': [9, 0, -4, 0, 1], 'lmfdb_label': '4800.d3', 'torsion': [2, 4]}
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id: 250103
{'degree': 4, 'field': [19, 14, -13, -2, 1], 'lmfdb_label': '4800.d3', 'torsion': [2, 12]}
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id: 250104
{'degree': 4, 'field': [34, -4, 5, -2, 1], 'lmfdb_label': '4800.d3', 'torsion': [2, 4]}
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id: 250106
{'degree': 6, 'field': [1009, 180, 300, -6, 30, 0, 1], 'lmfdb_label': '4800.d3', 'torsion': [2, 6]}
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id: 250107
{'degree': 8, 'field': [36, 0, 12, 0, 13, 0, -8, 0, 1], 'lmfdb_label': '4800.d3', 'torsion': [2, 12]}
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id: 250108
{'degree': 8, 'field': [256, 0, 0, 0, 17, 0, 0, 0, 1], 'lmfdb_label': '4800.d3', 'torsion': [2, 12]}
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id: 250109
{'degree': 12, 'field': [994009, 0, 609000, 0, 149100, 0, 20006, 0, 1500, 0, 60, 0, 1], 'lmfdb_label': '4800.d3', 'torsion': [6, 6]}
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id: 250110
{'degree': 16, 'field': [1, 0, 0, 0, -7, 0, 0, 0, 48, 0, 0, 0, -7, 0, 0, 0, 1], 'lmfdb_label': '4800.d3', 'torsion': [4, 12]}
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id: 250113
{'degree': 16, 'field': [36, 0, 48, 0, 100, 0, 288, 0, 389, 0, 252, 0, 80, 0, 12, 0, 1], 'lmfdb_label': '4800.d3', 'torsion': [2, 8]}
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id: 250112
{'degree': 16, 'field': [36, 0, 324, 0, 1065, 0, 1476, 0, 724, 0, -14, 0, 0, 0, 4, 0, 1], 'lmfdb_label': '4800.d3', 'torsion': [2, 8]}
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id: 250111
{'degree': 16, 'field': [256, 0, -1024, 0, 1120, 0, -448, 0, 148, 0, -112, 0, 70, 0, -16, 0, 1], 'lmfdb_label': '4800.d3', 'torsion': [2, 24]}
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id: 250114
{'degree': 18, 'field': [-108000, 0, -162000, 0, -621000, 0, 1034100, 0, -523800, 0, 130500, 0, -18180, 0, 1440, 0, -60, 0, 1], 'lmfdb_label': '4800.d3', 'torsion': [2, 18]}
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ec_localdata • Show schema
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id: 92161
{'conductor': 4800, 'conductor_valuation': 6, 'discriminant_valuation': 24, 'j_denominator_valuation': 6, 'kodaira_symbol': -18, 'lmfdb_label': '4800.d3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 92162
{'conductor': 4800, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '4800.d3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 92163
{'conductor': 4800, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '4800.d3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1695239
{'adelic_gens': [[1, 12, 0, 1], [59, 108, 114, 47], [47, 6, 94, 115], [109, 12, 108, 13], [9, 4, 104, 113], [1, 0, 12, 1], [23, 114, 0, 119], [23, 108, 6, 113]], 'adelic_image': '120.384.5.?', 'conductor': 4800, 'lmfdb_label': '4800.d3', 'prime': 0}
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id: 23767
{'conductor': 4800, 'elladic_image': '8.12.0.1', 'lmfdb_label': '4800.d3', 'modell_image': '2Cs', 'prime': 2}
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id: 23768
{'conductor': 4800, 'elladic_image': '3.4.0.1', 'lmfdb_label': '4800.d3', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 4800.d does not appear in ec_padic
