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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 2898.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2898.a1 | 2898f1 | \([1, -1, 0, 81864, -6070464]\) | \(83228502970940543/69854999176704\) | \(-50924294399817216\) | \([]\) | \(31680\) | \(1.8934\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2898.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2898.a do not have complex multiplication.Modular form 2898.2.a.a
sage: E.q_eigenform(10)