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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 5400.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5400.x1 | 5400a1 | \([0, 0, 0, -675, -23625]\) | \(-768/5\) | \(-221433750000\) | \([]\) | \(3456\) | \(0.86040\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5400.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5400.x do not have complex multiplication.Modular form 5400.2.a.x
sage: E.q_eigenform(10)