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ec_curvedata • Show schema
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{'Ciso': '310464rm', 'Clabel': '310464rm1', 'Cnumber': 1, 'abc_quality': 0.975945888236263, 'absD': 137593408565206981804032, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 616, 'ainvs': [0, 0, 0, -11431308, 23233694960], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 310464, 'degree': 49545216, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1377392570604679914868602503', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 454, 'isogeny_degrees': [1, 2], 'jinv': [-7347774183121, 6119866368], 'lmfdb_iso': '310464.rm', 'lmfdb_label': '310464.rm2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -405, 4731], 'min_quad_twist_disc': 168, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '14.6.0.b.1', '88.6.0.?', '616.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.577305839477230273742478232', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.57575726735883852911071307793', 'prec': 103}, 'szpiro_ratio': 4.844357166588861, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 4, 0, 0, 0, 0, 0, -1, 0, -6, 0, 0, 0, -4, 0, -2, 0], 'aplist': [0, 0, 4, 0, -1, -6, -4, -2, 8, -6, -6, 6, 12, -4, 6, 2, 0, 10, -4, 12, 0, -16, 14, -14, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 310464, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '310464.rm', 'trace_hash': 2235733939246012641}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0018818903271953545791331085713', 'prec': 110}, 'conductor': 310464, 'gens': [[26818820, 107707809440, 89]], 'heights': [{'__RealLiteral__': 0, 'data': '13.577305839477230273742478232', 'prec': 100}], 'lmfdb_label': '310464.rm2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.094915733593099278575056796632', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.309599551774815573031273203155390150', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-4130, 0, 1]], 'xcoord_integral_points': [-4130]}
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lmfdb_label 310464.rm2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 13102216
{'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '310464.rm2', 'torsion': [2, 2]}
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id: 13102217
{'degree': 4, 'field': [-134, -132, -38, 0, 1], 'lmfdb_label': '310464.rm2', 'torsion': [4]}
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id: 13102220
{'degree': 8, 'field': [-460992, 0, -281946, 0, 12348, 0, -140, 0, 1], 'lmfdb_label': '310464.rm2', 'torsion': [6]}
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id: 13102218
{'degree': 8, 'field': [46, -124, 223, -178, 165, -8, -11, -2, 1], 'lmfdb_label': '310464.rm2', 'torsion': [2, 4]}
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id: 13102219
{'degree': 8, 'field': [64009, 0, 7062, 0, 746, 0, 6, 0, 1], 'lmfdb_label': '310464.rm2', 'torsion': [2, 4]}
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id: 13102221
{'degree': 16, 'field': [-2824764, 13256400, -18995144, 19096208, -30579456, 30846296, -19782460, 8438352, -2456603, 198248, -8480, -14568, 426, 896, -108, -8, 1], 'lmfdb_label': '310464.rm2', 'torsion': [8]}
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id: 13102222
{'degree': 16, 'field': [1545896, -2995736, 5055018, -4831432, 4324008, -2660736, 1559256, -689600, 324495, -118124, 41172, -10632, 2682, -448, 84, -8, 1], 'lmfdb_label': '310464.rm2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 7690691
{'conductor': 310464, 'conductor_valuation': 6, 'discriminant_valuation': 32, 'j_denominator_valuation': 14, 'kodaira_symbol': -26, 'lmfdb_label': '310464.rm2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 7690692
{'conductor': 310464, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '310464.rm2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 7690693
{'conductor': 310464, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '310464.rm2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 7690694
{'conductor': 310464, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '310464.rm2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3613867
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [613, 4, 612, 5], [90, 1, 263, 0], [1, 2, 2, 5], [1, 4, 0, 1], [309, 4, 2, 9], [57, 4, 114, 9], [81, 540, 384, 231]], 'adelic_image': '616.12.0.?', 'conductor': 310464, 'lmfdb_label': '310464.rm2', 'prime': 0}
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id: 1090521
{'conductor': 310464, 'elladic_image': '2.3.0.1', 'lmfdb_label': '310464.rm2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 310464.rm does not appear in ec_padic