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ec_curvedata • Show schema
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{'Ciso': '4598a', 'Clabel': '4598a1', 'Cnumber': 1, 'abc_quality': 0.8428976122882577, 'absD': 716816098064, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 836, 'ainvs': [1, 1, 0, -2301, -13075], 'analytic_rank': 0, 'bad_primes': [2, 11, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4598, 'degree': 11616, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.96623920550805414854419158015', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2], 'jinv': [571787, 304], 'lmfdb_iso': '4598.i', 'lmfdb_label': '4598.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -19, 1], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '44.6.0.b.1', '76.6.0.?', '418.6.0.?', '836.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.83218224909072375950226610332', 'prec': 107}, 'szpiro_ratio': 4.130917009385545, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 2, 1, -2, -2, -4, -1, 1, 2, 0, 2, -6, 4, -4, 1, -4, -1, 1, -2], 'aplist': [-1, 2, -2, -4, 0, -6, -4, 1, 8, 6, -10, 6, 6, -8, 0, 6, -14, 12, 14, 6, -4, 0, 0, -14, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 4598, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '4598.i', 'trace_hash': 1690868374131439360}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.14478890700942041117626748010', 'prec': 103}, 'conductor': 4598, 'gens': [], 'heights': [], 'lmfdb_label': '4598.i2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.73224675904958732907263738691', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.73224675904958732907263738691494956729', 'prec': 133}, 'tamagawa_product': 4, 'torsion_generators': [[50, -25, 1]], 'xcoord_integral_points': [50]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [1, 0], '11': 'a', '19': [5, 0]}, 'iwp0': 3, 'lmfdb_label': '4598.i2'}
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ec_torsion_growth • Show schema
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id: 239483
{'degree': 2, 'field': [-52, -1, 1], 'lmfdb_label': '4598.i2', 'torsion': [2, 2]}
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id: 239484
{'degree': 4, 'field': [20, -28, -26, -2, 1], 'lmfdb_label': '4598.i2', 'torsion': [4]}
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id: 239487
{'degree': 8, 'field': [-5808, 0, -2420, 0, -264, 0, 0, 0, 1], 'lmfdb_label': '4598.i2', 'torsion': [6]}
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id: 239486
{'degree': 8, 'field': [625, 0, -875, 0, 304, 0, -35, 0, 1], 'lmfdb_label': '4598.i2', 'torsion': [2, 4]}
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id: 239485
{'degree': 8, 'field': [1024, 0, 5504, 0, 17, 0, 37, 0, 1], 'lmfdb_label': '4598.i2', 'torsion': [2, 4]}
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id: 239488
{'degree': 16, 'field': [5776, 0, -26432, 0, 34128, 0, -12160, 0, -692, 0, -1040, 0, 468, 0, -12, 0, 1], 'lmfdb_label': '4598.i2', 'torsion': [8]}
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id: 239489
{'degree': 16, 'field': [1327104, 0, -1387584, 0, 712080, 0, -237600, 0, 37968, 0, -3080, 0, 24, 0, 0, 0, 1], 'lmfdb_label': '4598.i2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 87682
{'conductor': 4598, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '4598.i2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 87683
{'conductor': 4598, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '4598.i2', 'prime': 11, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 87684
{'conductor': 4598, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4598.i2', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1693887
{'adelic_gens': [[1, 0, 4, 1], [574, 1, 131, 0], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [213, 628, 208, 627], [833, 4, 832, 5], [536, 1, 75, 0]], 'adelic_image': '836.12.0.?', 'conductor': 4598, 'lmfdb_label': '4598.i2', 'prime': 0}
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id: 22805
{'conductor': 4598, 'elladic_image': '2.3.0.1', 'lmfdb_label': '4598.i2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 4598.i does not appear in ec_padic