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Some interesting elliptic curves over number fields
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Elliptic curve labels
Label
Description
2.0.11.1-11.1-a1
Prime conductor but not prime discriminant
2.0.3.1-81.1-CMa1
Smallest elliptic curve with $C_3 \times C_3$ torsion
2.0.4.1-200.2-a3
First curve with $C_4 \times C_4$ torsion
2.2.229.1-1.1-a1
Good reduction but no minimal model
6.6.300125.1-1.1-a2
Everywhere good reduction and point of order $37$