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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 116928y
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 116928.by1 | 116928y1 | \([0, 0, 0, 240, -1888]\) | \(128000/203\) | \(-2424619008\) | \([]\) | \(61440\) | \(0.48595\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116928y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 116928y do not have complex multiplication.Modular form 116928.2.a.y
sage: E.q_eigenform(10)