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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 60840a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 60840.f1 | 60840a1 | \([0, 0, 0, -2028, 79092]\) | \(-27648/65\) | \(-2168588747520\) | \([]\) | \(107520\) | \(1.0554\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 60840a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 60840a do not have complex multiplication.Modular form 60840.2.a.a
sage: E.q_eigenform(10)