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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 467544.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 467544.d1 | 467544d1 | \([0, -1, 0, -47472, 5668236]\) | \(-3261064466/1917027\) | \(-6955274791213056\) | \([]\) | \(3456000\) | \(1.7424\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 467544.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 467544.d do not have complex multiplication.Modular form 467544.2.a.d
sage: E.q_eigenform(10)