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ec_curvedata • Show schema
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{'Ciso': '377520cd', 'Clabel': '377520cd2', 'Cnumber': 2, 'abc_quality': 0.8746321622412715, 'absD': 27592133437440, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1560, 'ainvs': [0, -1, 0, -24240, 1438560], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 377520, 'degree': 1105920, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3755662686792377175329083017', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 55, 'isogeny_degrees': [1, 2], 'jinv': [434163602, 7605], 'lmfdb_iso': '377520.cd', 'lmfdb_label': '377520.cd1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -200, 1008], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.b.1', '156.6.0.?', '1560.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.1728088712800299712645735025', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.45876628323323075479719293195', 'prec': 107}, 'szpiro_ratio': 3.262961335660633, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 1, 0, -2, 0, 1, 0, 0, 0, -1, 0, -1, 0, 4, 0, 6, 0], 'aplist': [0, -1, 1, -2, 0, -1, 4, 6, -6, -4, -8, -6, -6, 4, -8, 2, 0, 2, 4, 8, 0, 16, -4, -6, 16], 'class_deg': 2, 'class_size': 2, 'conductor': 377520, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '377520.cd', 'trace_hash': 934541637650821802}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.063855501498414282228563000467', 'prec': 107}, 'conductor': 377520, 'gens': [[42, 702, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.1728088712800299712645735025', 'prec': 100}], 'lmfdb_label': '377520.cd1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.66685562530424261351542749656', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.7957992740961999446964464541753562984', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[81, 0, 1]], 'xcoord_integral_points': [42, 81, 202]}
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lmfdb_label 377520.cd1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 15644156
{'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '377520.cd1', 'torsion': [2, 2]}
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id: 15644157
{'degree': 4, 'field': [394, -41, -25, -1, 1], 'lmfdb_label': '377520.cd1', 'torsion': [4]}
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id: 15644160
{'degree': 8, 'field': [-262942118, 17188900, 1538806, -517200, 18204, 3270, -230, -2, 1], 'lmfdb_label': '377520.cd1', 'torsion': [6]}
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id: 15644159
{'degree': 8, 'field': [33526, -44848, 18061, -1978, 2565, 28, -89, -2, 1], 'lmfdb_label': '377520.cd1', 'torsion': [2, 4]}
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id: 15644158
{'degree': 8, 'field': [656100, 0, -128800, 0, 4820, 0, -80, 0, 1], 'lmfdb_label': '377520.cd1', 'torsion': [2, 4]}
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id: 15644161
{'degree': 16, 'field': [25600000000, 0, 4860800000, 0, 138244000, 0, -103064200, 0, 10759300, 0, -511960, 0, 10420, 0, -82, 0, 1], 'lmfdb_label': '377520.cd1', 'torsion': [8]}
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id: 15644162
{'degree': 16, 'field': [1773424890000, 0, 224656536000, 0, 29171964400, 0, -5011128000, 0, 217799400, 0, -4125600, 0, 39720, 0, -240, 0, 1], 'lmfdb_label': '377520.cd1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 9340416
{'conductor': 377520, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '377520.cd1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 9340417
{'conductor': 377520, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '377520.cd1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 9340418
{'conductor': 377520, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '377520.cd1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 9340419
{'conductor': 377520, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '377520.cd1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 9340420
{'conductor': 377520, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '377520.cd1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 4011762
{'adelic_gens': [[521, 4, 1042, 9], [314, 1, 623, 0], [1, 2, 2, 5], [2, 1, 779, 0], [1, 4, 0, 1], [1081, 4, 602, 9], [1557, 4, 1556, 5], [977, 586, 584, 975], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '1560.12.0.?', 'conductor': 377520, 'lmfdb_label': '377520.cd1', 'prime': 0}
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id: 1292673
{'conductor': 377520, 'elladic_image': '2.3.0.1', 'lmfdb_label': '377520.cd1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 377520.cd does not appear in ec_padic