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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 120240.bv
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 120240.bv1 | 120240bs1 | \([0, 0, 0, 51813, 3362634]\) | \(190804533093/171008000\) | \(-13786933100544000\) | \([]\) | \(718848\) | \(1.7843\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 120240.bv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 120240.bv do not have complex multiplication.Modular form 120240.2.a.bv
sage: E.q_eigenform(10)