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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 9408a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9408.t1 | 9408a1 | \([0, -1, 0, -1143, 46089]\) | \(-448000/2187\) | \(-806887666368\) | \([]\) | \(9408\) | \(0.96920\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9408a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9408a do not have complex multiplication.Modular form 9408.2.a.a
sage: E.q_eigenform(10)