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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 5328.x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 5328.x1 | 5328w1 | \([0, 0, 0, -48, -20]\) | \(65536/37\) | \(6905088\) | \([]\) | \(1440\) | \(0.0023409\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5328.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5328.x do not have complex multiplication.Modular form 5328.2.a.x
sage: E.q_eigenform(10)