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ec_curvedata • Show schema
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{'Ciso': '6930be', 'Clabel': '6930be1', 'Cnumber': 1, 'abc_quality': 1.0630000020268267, 'absD': 1812464899121479680, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [1, -1, 1, -1785767, 916672479], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6930, 'degree': 200704, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3745151590009760760375035597', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2, 4], 'jinv': [863913648706111516969, 2486234429521920], 'lmfdb_iso': '6930.bc', 'lmfdb_label': '6930.bc3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -198418, -34016972], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '24.24.0-24.bb.1.4', '210.6.0.?', '280.24.0.?', '420.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8252090146669212303398809412', 'prec': 100}, 'szpiro_ratio': 6.196524572232458, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 0, 1, 1, 0, -1, 1, 0, 1, -1, 0, 6, -1, 0, 1, -2, 0, 0, 1], 'aplist': [1, 0, 1, -1, -1, 6, -2, 0, 0, 6, -8, 10, 2, -8, -4, 6, 12, 10, 8, -4, 10, 8, -12, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 6930, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '6930.bc', 'trace_hash': 15104955255375736}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0086600886650484776294506847489', 'prec': 110}, 'conductor': 6930, 'gens': [], 'heights': [], 'lmfdb_label': '6930.bc3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.26519408110596137135166523708', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7127171354834591989233133191536420568', 'prec': 130}, 'tamagawa_product': 224, 'torsion_generators': [[419, 15342, 1]], 'xcoord_integral_points': [419, 803]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 0], '3': 'a', '5': [1, 0], '7': [2, 0], '11': [0, 0]}, 'iwp0': 11, 'lmfdb_label': '6930.bc3'}
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ec_torsion_growth • Show schema
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id: 364552
{'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '6930.bc3', 'torsion': [2, 4]}
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id: 364553
{'degree': 4, 'field': [24, -24, 6, 0, 1], 'lmfdb_label': '6930.bc3', 'torsion': [8]}
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id: 364557
{'degree': 8, 'field': [-69670, 4820, -4730, -197, 142, -55, 23, -4, 1], 'lmfdb_label': '6930.bc3', 'torsion': [12]}
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id: 364555
{'degree': 8, 'field': [256, 0, 352, 0, 48, 0, 22, 0, 1], 'lmfdb_label': '6930.bc3', 'torsion': [2, 8]}
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id: 364556
{'degree': 8, 'field': [529930, 763520, -312835, -44410, 15961, 652, -241, -2, 1], 'lmfdb_label': '6930.bc3', 'torsion': [2, 8]}
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id: 364554
{'degree': 8, 'field': [1240996, -672856, 182408, -14080, -1499, 550, 2, -2, 1], 'lmfdb_label': '6930.bc3', 'torsion': [4, 4]}
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id: 364559
{'degree': 16, 'field': [5017600, 0, 21692300, 0, 2239300, 0, -109060, 0, -136115, 0, 10640, 0, 1234, 0, -76, 0, 1], 'lmfdb_label': '6930.bc3', 'torsion': [2, 12]}
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id: 364558
{'degree': 16, 'field': [330236580120, -14286109920, 47593882680, 1910984160, 6090251022, -212477664, 421869564, -22569120, 19322335, -1559408, 641260, -50192, 13102, -872, 172, -8, 1], 'lmfdb_label': '6930.bc3', 'torsion': [16]}
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ec_localdata • Show schema
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id: 141672
{'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 28, 'j_denominator_valuation': 28, 'kodaira_symbol': 32, 'lmfdb_label': '6930.bc3', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 28}
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id: 141673
{'conductor': 6930, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '6930.bc3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 141674
{'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6930.bc3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 141675
{'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6930.bc3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 141676
{'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6930.bc3', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1709723
{'adelic_gens': [[833, 8, 832, 9], [1, 0, 8, 1], [113, 108, 110, 527], [1, 8, 0, 1], [1, 4, 4, 17], [508, 1, 191, 6], [323, 318, 530, 107], [7, 6, 834, 835], [272, 837, 275, 838], [124, 1, 503, 6]], 'adelic_image': '840.48.0.?', 'conductor': 6930, 'lmfdb_label': '6930.bc3', 'prime': 0}
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id: 34154
{'conductor': 6930, 'elladic_image': '4.12.0.7', 'lmfdb_label': '6930.bc3', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 6930.bc does not appear in ec_padic