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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 80688f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
80688.be1 | 80688f1 | \([0, 1, 0, 11207, -1701421]\) | \(128000/1107\) | \(-1346141541065472\) | \([]\) | \(322560\) | \(1.5843\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 80688f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 80688f do not have complex multiplication.Modular form 80688.2.a.f
sage: E.q_eigenform(10)