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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 864d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 864.f1 | 864d1 | \([0, 0, 0, -3, -6]\) | \(-216\) | \(-13824\) | \([]\) | \(48\) | \(-0.52078\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 864d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 864d do not have complex multiplication.Modular form 864.2.a.d
sage: E.q_eigenform(10)