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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 47937f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47937.f1 | 47937f1 | -optimal |
Rank
sage: E.rank()
The elliptic curve 47937f1 has rank .
Complex multiplication
The elliptic curves in class 47937f do not have complex multiplication.Modular form 47937.2.a.f
sage: E.q_eigenform(10)