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ec_curvedata • Show schema
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{'Ciso': '76230dn', 'Clabel': '76230dn1', 'Cnumber': 1, 'abc_quality': 0.8993690048664724, 'absD': 5568809882328000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9240, 'ainvs': [1, -1, 1, 10867, 3561077], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 76230, 'degree': 552960, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7011917580618226559337515904', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 75, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [109902239, 4312000], 'lmfdb_iso': '76230.cx', 'lmfdb_label': '76230.cx4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 10, 100], 'min_quad_twist_disc': 33, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '30.24.0-6.a.1.4', '33.8.0-3.a.1.1', '56.6.0.d.1', '66.24.0-6.a.1.1', '110.6.0.?', '168.24.0.?', '330.48.0.?', '840.48.0.?', '1848.48.0.?', '3080.12.0.?', '9240.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, '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': '-0.047062022671417461794842817044', 'prec': 110}, 'szpiro_ratio': 3.887005989665789, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 0, 1, -1, 0, -1, 1, 0, -1, 0, 0, -2, -1, 0, 1, 6, 0, -2, -1], 'aplist': [1, 0, -1, -1, 0, -2, 6, -2, 6, 0, 8, 8, 0, 4, 0, -12, -12, 10, -4, 12, -14, 10, 0, 18, 8], 'class_deg': 6, 'class_size': 4, 'conductor': 76230, 'isogeny_matrix': [[1, 3, 2, 6], [3, 1, 6, 2], [2, 6, 1, 3], [6, 2, 3, 1]], 'lmfdb_iso': '76230.cx', 'trace_hash': 1324899234329442069}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.033293818957264705550467988333', 'prec': 107}, 'conductor': 76230, 'gens': [], 'heights': [], 'lmfdb_label': '76230.cx4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.32381154034507812477054146005', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.8857384841409374972464975205501591962', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-129, 64, 1]], 'xcoord_integral_points': [-129]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [5, 0], '3': 'a', '5': [0, 0], '7': [0, 0], '11': 'a'}, 'iwp0': 5, 'lmfdb_label': '76230.cx4'}
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ec_torsion_growth • Show schema
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id: 3605408
{'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '76230.cx4', 'torsion': [6]}
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id: 3605407
{'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '76230.cx4', 'torsion': [2, 2]}
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id: 3605409
{'degree': 4, 'field': [-26, -20, 21, -2, 1], 'lmfdb_label': '76230.cx4', 'torsion': [4]}
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id: 3605410
{'degree': 4, 'field': [34, -23, 5, -1, 1], 'lmfdb_label': '76230.cx4', 'torsion': [2, 6]}
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id: 3605411
{'degree': 6, 'field': [539, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '76230.cx4', 'torsion': [6]}
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id: 3605414
{'degree': 8, 'field': [2248, -1520, -663, 366, -45, -20, -13, -2, 1], 'lmfdb_label': '76230.cx4', 'torsion': [12]}
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id: 3605412
{'degree': 8, 'field': [3916, 2156, 4004, -1738, 559, -116, -4, -2, 1], 'lmfdb_label': '76230.cx4', 'torsion': [2, 4]}
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id: 3605413
{'degree': 8, 'field': [176614, 44460, -21071, -2866, 1037, -8, -21, -2, 1], 'lmfdb_label': '76230.cx4', 'torsion': [2, 4]}
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id: 3605415
{'degree': 12, 'field': [36, 162, 879, -639, 712, 147, -109, 126, -15, -9, 8, -3, 1], 'lmfdb_label': '76230.cx4', 'torsion': [3, 6]}
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id: 3605416
{'degree': 12, 'field': [300224, -35568, 56604, -43130, 24225, -3228, 1119, -6, -30, 10, 9, -6, 1], 'lmfdb_label': '76230.cx4', 'torsion': [2, 6]}
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id: 3605417
{'degree': 16, 'field': [-3706539128, 209818272, 2258081528, -323766880, 806940458, -378304176, -117060292, -38107304, 2568555, 1535536, 523516, 49256, 3630, -280, -20, -8, 1], 'lmfdb_label': '76230.cx4', 'torsion': [8]}
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id: 3605418
{'degree': 16, 'field': [608716, 372276, 394220, 105962, 323163, -355252, 332396, -224842, 109135, -33556, 6252, 262, -343, -12, 28, -6, 1], 'lmfdb_label': '76230.cx4', 'torsion': [2, 12]}
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id: 3605419
{'degree': 16, 'field': [1048576, -1310720, 1105920, -2363392, 3779840, -3529472, 2091872, -798304, 164360, 5024, -10220, 656, 378, -40, 13, -6, 1], 'lmfdb_label': '76230.cx4', 'torsion': [2, 12]}
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id: 3605420
{'degree': 18, 'field': [-367330688, -766791744, -763539840, -704502584, 288182472, 417264288, 50496990, -67309002, -13795578, 3662331, 911049, 132210, -66736, -15384, 3648, 368, -102, -3, 1], 'lmfdb_label': '76230.cx4', 'torsion': [18]}
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ec_localdata • Show schema
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id: 1853966
{'conductor': 76230, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '76230.cx4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 1853967
{'conductor': 76230, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '76230.cx4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 1853968
{'conductor': 76230, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '76230.cx4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 1853969
{'conductor': 76230, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '76230.cx4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1853970
{'conductor': 76230, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '76230.cx4', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2167661
{'adelic_gens': [[4239, 2698, 6566, 5021], [4621, 12, 6, 73], [11, 2, 9190, 9231], [5281, 12, 3966, 73], [1, 0, 12, 1], [9229, 12, 9228, 13], [1, 6, 6, 37], [6151, 9238, 1482, 9227], [2510, 9237, 3387, 8], [1, 12, 0, 1], [10, 3, 1821, 9232]], 'adelic_image': '9240.96.1.?', 'conductor': 76230, 'lmfdb_label': '76230.cx4', 'prime': 0}
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id: 314896
{'conductor': 76230, 'elladic_image': '2.3.0.1', 'lmfdb_label': '76230.cx4', 'modell_image': '2B', 'prime': 2}
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id: 314897
{'conductor': 76230, 'elladic_image': '3.4.0.1', 'lmfdb_label': '76230.cx4', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 76230.cx does not appear in ec_padic