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SageMath
E = EllipticCurve("fd1")
E.isogeny_class()
Elliptic curves in class 39600fd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
39600.u1 | 39600fd1 | \([0, 0, 0, -1875, 1791250]\) | \(-625/1188\) | \(-1385683200000000\) | \([]\) | \(138240\) | \(1.5844\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39600fd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 39600fd do not have complex multiplication.Modular form 39600.2.a.fd
sage: E.q_eigenform(10)