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ec_curvedata • Show schema
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{'Ciso': '2652f', 'Clabel': '2652f4', 'Cnumber': 4, 'abc_quality': 1.139089681818202, 'absD': 491735839226112, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 2652, 'ainvs': [0, 1, 0, 19612, -137676], 'analytic_rank': 0, 'bad_primes': [2, 3, 13, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 2652, 'degree': 8640, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5084519752617179665791155878', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [3258571509326000, 1920843121977], 'lmfdb_iso': '2652.f', 'lmfdb_label': '2652.f4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 19612, -137676], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '52.6.0.c.1', '68.6.0.a.1', '156.48.0.?', '204.48.0.?', '884.12.0.?', '2652.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0463538548884210936342941735', 'prec': 100}, 'szpiro_ratio': 5.234666969481658, '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, 0, 0, -4, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 2, 0], 'aplist': [0, 1, 0, -4, 0, 1, -1, 2, 0, 6, 8, 8, 0, 8, 6, -6, -6, -10, 2, 12, -4, 8, 18, 6, 8], 'class_deg': 6, 'class_size': 4, 'conductor': 2652, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '2652.f', 'trace_hash': 624831386426730882}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.048952543482731246269340961273', 'prec': 107}, 'conductor': 2652, 'gens': [], 'heights': [], 'lmfdb_label': '2652.f4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.30734619413365638724995420178', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8440771648019383234997252106842177086', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[7, 0, 1]], 'xcoord_integral_points': [7]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [1, 1], '13': [1, 0], '17': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '2652.f4'}
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ec_torsion_growth • Show schema
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id: 137309
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '2652.f4', 'torsion': [6]}
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id: 137308
{'degree': 2, 'field': [17, 0, 1], 'lmfdb_label': '2652.f4', 'torsion': [2, 2]}
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id: 137310
{'degree': 3, 'field': [-12, 0, 0, 1], 'lmfdb_label': '2652.f4', 'torsion': [6]}
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id: 137311
{'degree': 4, 'field': [-17, 0, 7, 0, 1], 'lmfdb_label': '2652.f4', 'torsion': [4]}
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id: 137312
{'degree': 4, 'field': [289, 0, -17, 0, 1], 'lmfdb_label': '2652.f4', 'torsion': [2, 6]}
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id: 137313
{'degree': 6, 'field': [12, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '2652.f4', 'torsion': [3, 6]}
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id: 137314
{'degree': 6, 'field': [5057, 1224, 867, -24, 51, 0, 1], 'lmfdb_label': '2652.f4', 'torsion': [2, 6]}
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id: 137317
{'degree': 8, 'field': [289, 0, 119, 0, 66, 0, -7, 0, 1], 'lmfdb_label': '2652.f4', 'torsion': [12]}
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id: 137315
{'degree': 8, 'field': [5832, -1296, 792, -288, 376, -16, 44, -4, 1], 'lmfdb_label': '2652.f4', 'torsion': [2, 4]}
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id: 137316
{'degree': 8, 'field': [8181, -2142, 3402, -170, 255, -34, -16, 0, 1], 'lmfdb_label': '2652.f4', 'torsion': [2, 4]}
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id: 137319
{'degree': 12, 'field': [116623, -29016, -46203, -49416, -10704, -13320, 493, 0, 96, -48, 21, 0, 1], 'lmfdb_label': '2652.f4', 'torsion': [12]}
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id: 137318
{'degree': 12, 'field': [24019801, 0, 8623182, 0, 1246695, 0, 98284, 0, 4335, 0, 102, 0, 1], 'lmfdb_label': '2652.f4', 'torsion': [6, 6]}
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id: 137322
{'degree': 16, 'field': [18974736, 0, 10245312, 0, 3854844, 0, 783552, 0, 110941, 0, 686, 0, -189, 0, 14, 0, 1], 'lmfdb_label': '2652.f4', 'torsion': [2, 12]}
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id: 137320
{'degree': 16, 'field': [34100433, -98767836, 113146470, -39486852, -46579986, 71338140, -46799814, 18409104, -4749485, 913184, -167498, 27260, -2432, 164, -32, -4, 1], 'lmfdb_label': '2652.f4', 'torsion': [8]}
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id: 137321
{'degree': 16, 'field': [51121449, -34327152, 4959144, -265140, 6541974, -3482100, 10188, 102720, 210139, -80812, -9124, 2832, 782, 60, -28, -4, 1], 'lmfdb_label': '2652.f4', 'torsion': [2, 12]}
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id: 137323
{'degree': 18, 'field': [34012224, 0, 0, -35061984, 0, 0, 54561600, 0, 0, -4259160, 0, 0, 168400, 0, 0, -334, 0, 0, 1], 'lmfdb_label': '2652.f4', 'torsion': [18]}
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ec_localdata • Show schema
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id: 46340
{'conductor': 2652, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '2652.f4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 46341
{'conductor': 2652, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '2652.f4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 46342
{'conductor': 2652, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '2652.f4', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 46343
{'conductor': 2652, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '2652.f4', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1681258
{'adelic_gens': [[613, 12, 1026, 73], [1, 0, 12, 1], [1769, 12, 1768, 1], [222, 1117, 221, 1106], [1, 6, 6, 37], [2641, 12, 2640, 13], [11, 2, 2602, 2643], [1, 12, 0, 1], [166, 3, 2469, 2644]], 'adelic_image': '2652.96.1.?', 'conductor': 2652, 'lmfdb_label': '2652.f4', 'prime': 0}
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id: 13234
{'conductor': 2652, 'elladic_image': '2.3.0.1', 'lmfdb_label': '2652.f4', 'modell_image': '2B', 'prime': 2}
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id: 13235
{'conductor': 2652, 'elladic_image': '3.8.0.2', 'lmfdb_label': '2652.f4', 'modell_image': '3B.1.2', 'prime': 3}
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lmfdb_iso 2652.f does not appear in ec_padic