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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 20286f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20286.w1 | 20286f1 | \([1, -1, 0, -744, -7778]\) | \(-14348907/322\) | \(-1022840406\) | \([]\) | \(10752\) | \(0.51716\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20286f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 20286f do not have complex multiplication.Modular form 20286.2.a.f
sage: E.q_eigenform(10)