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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 5184w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 5184.x1 | 5184w1 | \([0, 0, 0, -12, 8]\) | \(2304\) | \(82944\) | \([]\) | \(384\) | \(-0.36001\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5184w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5184w do not have complex multiplication.Modular form 5184.2.a.w
sage: E.q_eigenform(10)