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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 5808.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5808.x1 | 5808l1 | \([0, 1, 0, 224, 548]\) | \(9987164/6561\) | \(-812934144\) | \([]\) | \(1536\) | \(0.39851\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5808.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5808.x do not have complex multiplication.Modular form 5808.2.a.x
sage: E.q_eigenform(10)