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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 64448f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 64448.d1 | 64448f1 | \([0, -1, 0, -9, -47]\) | \(-87808/1007\) | \(-1031168\) | \([]\) | \(10368\) | \(-0.16421\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64448f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 64448f do not have complex multiplication.Modular form 64448.2.a.f
sage: E.q_eigenform(10)