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ec_curvedata • Show schema
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{'Ciso': '24300m', 'Clabel': '24300m1', 'Cnumber': 1, 'absD': 972000000, 'ainvs': [0, 0, 0, 0, -1500], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': -3, 'conductor': 24300, 'degree': 7776, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.40345476844068818333668406712', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 3], 'jinv': [0, 1], 'lmfdb_iso': '24300.p', 'lmfdb_label': '24300.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 0, -12], 'min_quad_twist_disc': 5, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3286942803987632018238215721', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 6075], [3, 4, 100], [5, 14, 972]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691959', 'prec': 103}, 'szpiro_ratio': 2.787575819714108, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 8, 0], 'aplist': [0, 0, 0, 1, 0, -2, 0, 8, 0, 0, 11, -11, 0, -5, 0, 0, 0, -13, -11, 0, -17, -4, 0, 0, -14], 'class_deg': 3, 'class_size': 2, 'conductor': 24300, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '24300.p', 'trace_hash': 1719913612461820931}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.44623501027109576382607208856', 'prec': 103}, 'conductor': 24300, 'gens': [[40, 250, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3286942803987632018238215721', 'prec': 100}], 'lmfdb_label': '24300.p1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.71782157017165840687737243372', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.7225924878036518259503856059891231873', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [40]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [3, 0], '11': [1, 3, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '24300.p1'}
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ec_torsion_growth • Show schema
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id: 1226644
{'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '24300.p1', 'torsion': [3]}
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id: 1226645
{'degree': 3, 'field': [-12, 0, 0, 1], 'lmfdb_label': '24300.p1', 'torsion': [2]}
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id: 1226646
{'degree': 6, 'field': [12, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '24300.p1', 'torsion': [2, 2]}
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id: 1226647
{'degree': 6, 'field': [59, -57, 18, -7, 0, -3, 1], 'lmfdb_label': '24300.p1', 'torsion': [3]}
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id: 1226648
{'degree': 6, 'field': [96, 0, 0, -18, 0, 0, 1], 'lmfdb_label': '24300.p1', 'torsion': [6]}
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id: 1226649
{'degree': 12, 'field': [-187500, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '24300.p1', 'torsion': [4]}
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id: 1226652
{'degree': 12, 'field': [144, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '24300.p1', 'torsion': [2, 6]}
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id: 1226651
{'degree': 12, 'field': [336, 0, 0, 1008, 0, 0, 1728, 0, 0, -42, 0, 0, 1], 'lmfdb_label': '24300.p1', 'torsion': [7]}
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id: 1226650
{'degree': 12, 'field': [3481, -3363, 2187, -200, -75, -303, -4, 51, -39, 14, 9, -3, 1], 'lmfdb_label': '24300.p1', 'torsion': [3, 3]}
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id: 1226654
{'degree': 18, 'field': [-1, 0, 0, 12, 0, 0, 63, 0, 0, 112, 0, 0, 45, 0, 0, -12, 0, 0, 1], 'lmfdb_label': '24300.p1', 'torsion': [6]}
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id: 1226653
{'degree': 18, 'field': [21624, -18576, 38448, -25596, 15264, -26676, 26118, -22896, 16344, -7137, 1620, 567, -555, 9, 180, -126, 45, -9, 1], 'lmfdb_label': '24300.p1', 'torsion': [9]}
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ec_localdata • Show schema
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id: 557219
{'conductor': 24300, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '24300.p1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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id: 557220
{'conductor': 24300, 'conductor_valuation': 5, 'discriminant_valuation': 5, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '24300.p1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 557221
{'conductor': 24300, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '24300.p1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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lmfdb_label 24300.p1 does not appear in ec_galrep
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ec_padic • Show schema
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id: 1152522
{'lmfdb_iso': '24300.p', 'p': 7, 'prec': 20, 'unit': 23888312501968450, 'val': 0}
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id: 1152525
{'lmfdb_iso': '24300.p', 'p': 13, 'prec': 20, 'unit': 753224555070629487817, 'val': 1}
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id: 1152527
{'lmfdb_iso': '24300.p', 'p': 19, 'prec': 20, 'unit': 1300765893649997249290070, 'val': 1}
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id: 1152529
{'lmfdb_iso': '24300.p', 'p': 31, 'prec': 20, 'unit': 8193122716317098630632426426, 'val': 1}
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id: 1152521
{'lmfdb_iso': '24300.p', 'p': 37, 'prec': 20, 'unit': 130008052355539650526571504872, 'val': 1}
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id: 1152524
{'lmfdb_iso': '24300.p', 'p': 43, 'prec': 20, 'unit': 3043058547656570541363953488855, 'val': 1}
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id: 1152528
{'lmfdb_iso': '24300.p', 'p': 61, 'prec': 20, 'unit': 3207254929715859782421110027160688, 'val': 1}
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id: 1152520
{'lmfdb_iso': '24300.p', 'p': 67, 'prec': 20, 'unit': 32249164587432472111897028511243152, 'val': 1}
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id: 1152523
{'lmfdb_iso': '24300.p', 'p': 73, 'prec': 20, 'unit': 169997386565136485281121814020202589, 'val': 1}
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id: 1152526
{'lmfdb_iso': '24300.p', 'p': 79, 'prec': 20, 'unit': 151272585023530497777655166937213316, 'val': 1}
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id: 1152519
{'lmfdb_iso': '24300.p', 'p': 97, 'prec': 20, 'unit': 45132115827435346984378313721712641452, 'val': 1}