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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 1, 1, 1, -1, 0, -1, 1, -1, -4, 1, -1, 0, 1, 1, 2, -1, -1, 1], 'aplist': [-1, 1, 1, 0, -4, -1, 2, -1, 4, 2, -4, -6, -10, 4, -8, -6, 12, 6, -4, 12, -10, 8, -8, 6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 7410, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '7410.l', 'trace_hash': 826872319484128504}
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ec_padic • Show schema
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id: 301731
{'lmfdb_iso': '7410.l', 'p': 11, 'prec': 20, 'unit': 8685654540411113563, 'val': 1}
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id: 301738
{'lmfdb_iso': '7410.l', 'p': 17, 'prec': 20, 'unit': 59191576487678852034018, 'val': 1}
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id: 301743
{'lmfdb_iso': '7410.l', 'p': 23, 'prec': 20, 'unit': 16590346580129362165281484, 'val': 1}
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id: 301736
{'lmfdb_iso': '7410.l', 'p': 29, 'prec': 20, 'unit': 589395630719341870398285969, 'val': 1}
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id: 301747
{'lmfdb_iso': '7410.l', 'p': 31, 'prec': 20, 'unit': 20890011116346917054107250645, 'val': 1}
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id: 301732
{'lmfdb_iso': '7410.l', 'p': 37, 'prec': 20, 'unit': 448811185171447297936087216999, 'val': 1}
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id: 301734
{'lmfdb_iso': '7410.l', 'p': 41, 'prec': 20, 'unit': 3139831044078530216725541103807, 'val': 1}
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id: 301735
{'lmfdb_iso': '7410.l', 'p': 43, 'prec': 20, 'unit': 3386206395799311903291582665610, 'val': 1}
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id: 301745
{'lmfdb_iso': '7410.l', 'p': 47, 'prec': 20, 'unit': 15688829728273189481880574323700, 'val': 1}
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id: 301740
{'lmfdb_iso': '7410.l', 'p': 53, 'prec': 20, 'unit': 243257226010288060946411840544678, 'val': 1}
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id: 301741
{'lmfdb_iso': '7410.l', 'p': 59, 'prec': 20, 'unit': 2432888196519972802958210487995984, 'val': 1}
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id: 301746
{'lmfdb_iso': '7410.l', 'p': 61, 'prec': 20, 'unit': 5358199976254258228787666681093326, 'val': 1}
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id: 301730
{'lmfdb_iso': '7410.l', 'p': 67, 'prec': 20, 'unit': 28290820994768531423462899033676144, 'val': 1}
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id: 301733
{'lmfdb_iso': '7410.l', 'p': 71, 'prec': 20, 'unit': 98308607343366147848054627909828903, 'val': 1}
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id: 301742
{'lmfdb_iso': '7410.l', 'p': 73, 'prec': 20, 'unit': 244710345562829275732872062916893819, 'val': 1}
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id: 301737
{'lmfdb_iso': '7410.l', 'p': 79, 'prec': 20, 'unit': 32769243062871305955496955626919363, 'val': 1}
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id: 301739
{'lmfdb_iso': '7410.l', 'p': 83, 'prec': 20, 'unit': 267830873525769991621900503934662246, 'val': 1}
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id: 301744
{'lmfdb_iso': '7410.l', 'p': 89, 'prec': 20, 'unit': 2435835519727148941462147628564218050, 'val': 1}
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id: 301729
{'lmfdb_iso': '7410.l', 'p': 97, 'prec': 20, 'unit': 41923730331169370255127704831949021437, 'val': 1}
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ec_curvedata • Show schema
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id: 47582
{'Ciso': '7410l', 'Clabel': '7410l4', 'Cnumber': 4, 'abc_quality': 1.0354372568219103, 'absD': 39076171875000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9880, 'ainvs': [1, 0, 1, -853958, 303669056], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7410, 'degree': 73728, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9341526260025160382222258180', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4], 'jinv': [68870385718115337310681, 39076171875000], 'lmfdb_iso': '7410.l', 'lmfdb_label': '7410.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -853958, 303669056], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0-4.c.1.5', '76.12.0.?', '104.12.0.?', '520.24.0.?', '760.24.0.?', '1976.24.0.?', '9880.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.60103230084893223657422669047', 'prec': 103}, 'semistable': True, 'serre_invariants': [[2, 4, 247], [3, 4, 247], [5, 6, 1482], [13, 14, 570], [19, 20, 390]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9341526260025160382222258180', 'prec': 100}, 'szpiro_ratio': 5.901577616288999, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 47581
{'Ciso': '7410l', 'Clabel': '7410l3', 'Cnumber': 3, 'abc_quality': 0.9881322136685137, 'absD': 72928592456733000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9880, 'ainvs': [1, 0, 1, -118678, -8887552], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7410, 'degree': 73728, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9341526260025160382222258180', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4], 'jinv': [184854108796733228761, 72928592456733000], 'lmfdb_iso': '7410.l', 'lmfdb_label': '7410.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -118678, -8887552], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.1', '104.12.0.?', '152.12.0.?', '520.24.0.?', '760.24.0.?', '1976.24.0.?', '9880.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.60103230084893223657422669047', 'prec': 103}, 'semistable': True, 'serre_invariants': [[2, 4, 65], [3, 4, 247], [5, 6, 1482], [13, 14, 570], [19, 20, 390]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9341526260025160382222258180', 'prec': 100}, 'szpiro_ratio': 5.237152759888137, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 47580
{'Ciso': '7410l', 'Clabel': '7410l2', 'Cnumber': 2, 'abc_quality': 0.9670493223968697, 'absD': 400280049000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9880, 'ainvs': [1, 0, 1, -53678, 4684448], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7410, 'degree': 36864, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5875790357225433835136097572', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2], 'jinv': [17104132791725468761, 400280049000000], 'lmfdb_iso': '7410.l', 'lmfdb_label': '7410.l3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -53678, 4684448], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '20.12.0-2.a.1.1', '76.12.0.?', '104.12.0.?', '380.24.0.?', '520.24.0.?', '1976.24.0.?', '9880.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 20, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.30051615042446611828711334523', 'prec': 103}, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 247], [5, 6, 1482], [13, 14, 570], [19, 20, 390]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5875790357225433835136097572', 'prec': 100}, 'szpiro_ratio': 4.970027020897718, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 47579
{'Ciso': '7410l', 'Clabel': '7410l1', 'Cnumber': 1, 'abc_quality': 1.008458636156822, 'absD': 22505154048000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9880, 'ainvs': [1, 0, 1, 402, 228256], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7410, 'degree': 18432, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2410054454425707288049936965', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4], 'jinv': [7210309838759, 22505154048000], 'lmfdb_iso': '7410.l', 'lmfdb_label': '7410.l4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 402, 228256], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.2', '76.12.0.?', '104.12.0.?', '190.6.0.?', '380.24.0.?', '520.24.0.?', '1976.24.0.?', '9880.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.60103230084893223657422669047', 'prec': 103}, 'semistable': True, 'serre_invariants': [[2, 4, 95], [3, 4, 247], [5, 6, 1482], [13, 14, 570], [19, 20, 390]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2410054454425707288049936965', 'prec': 100}, 'szpiro_ratio': 4.286957243852861, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}